diff --git "a/data/dm_maths/full_data/1313_11255.jsonl" "b/data/dm_maths/full_data/1313_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1313_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 76\/(-171)*6\/(-8)*3*-1*-85\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 558 + -2788\/5. Which is the nearest to 1? (a) -0.5 (b) -7\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-1 + (-138)\/(-126))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 4*s**2 - 2*s + 2. Let k be o(3). Suppose -3*x + k = -58. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.917689 kilograms to micrograms.\nAnswer: 917689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -309143, -7 in ascending order.\nAnswer: -309143, -7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 5*y - 4. Let w be i(-1). Let k be (-3710)\/w - ((-75)\/(-10) + -8). Suppose -2*j - 14*j + k = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 22869\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/4 + 4*n**3\/3 + n**2 + 5*n - 1. Let y be t(-4). Let q be (-16)\/y + 6\/9. Let a(m) = m - 10. Determine a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/4 of a minute?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12583590 divided by 4\nAnswer: 6291795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/487 + 1094\/7305. Suppose 3*h = -3*r + 42, 0 = 3*h - 0*h - 5*r - 34. Suppose 3 - h = 5*q. What is the closest to 2\/3 in 4, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.071119l?\nAnswer: 1071.119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/105)\/((-70)\/49).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2572, 0.14, 206 in decreasing order.\nAnswer: 206, 0.14, -2572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9, p: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:02 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**2*t**3 + 126*o*t**2 + 694*o - 272793*t**3 wrt o?\nAnswer: -6*o*t**3 + 126*t**2 + 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2757 and 1443?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 - 132 = 4*x. Suppose -103 = 7*v + x. Let k = -15 - v. Solve -a = 3*a - k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -186*f - 12. Let v be l(-1). Let h = v + -98. What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1918117, -3836242, -5754367, -7672492, -9590617, -11508742?\nAnswer: -13426867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 36\/10)*(-10 - -5). Suppose -71 = -v + 5*i, u*i - 3*i - 97 = -2*v. Calculate the smallest common multiple of v and 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*g + 20. Suppose 2*w = -0*x + g*x - 2058, 4*x - 3*w = 2063. Suppose i + x = 4*p, -2*p - 3*p + 615 = 5*i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38306 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = 1. Let k be (3\/(-2 + c))\/(-1). Determine l so that -k + 0*l**2 + 2*l**2 - l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 165960*d + 1721420100.\nAnswer: 4*(d + 20745)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 3*(-16)\/6. Let d = g - 4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/1*6. Let j be ((-405)\/(-6))\/5*-2. Let s = j + 35. Solve -4*f + f - s = -5*n, 0 = d*f - 4*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 4*k - 142, -k + 34 + 35 = k + 133*j - 134*j for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 2, m: 1, b: 1, t: 1}. What is prob of sequence bts?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1827127, 1824271, 1821417, 1818565?\n\"Answer: t**2 - 2859*t + 1829985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -577*s**3 - 2*s**2 - 2*s - 2. Let g(l) = 59432*l**3 + 207*l**2 + 207*l + 207. Give 207*f(c) + 2*g(c).\nAnswer: -575*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:00 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/5, -1, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 121. What is the remainder when 233 is divided by o(30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/60*3*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 4*c**2 - 3*c + 4. Let j(g) = 3*g**3 - 4*g**2 - 3*g + 4. Let v(q) = -3*j(q) + 2*u(q). Let k be v(4). Solve 3*t = t + k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -72, -140, -210, -276, -332, -372?\n\"Answer: b**3 - 7*b**2 - 54*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20)*(-7835)\/6. Let o = x + 262. Which is the closest to -2\/7? (a) -0.4 (b) 1\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 + 6*n + 7. Suppose -r - 5*t + 19 = 0, -2 = -r - r - t. Let p be u(r). Let a(s) = -s**3 + 11*s**2 - 5*s - 8. List the prime factors of a(p).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588141.\nAnswer: 4588141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1697727*u*w**3 - 27*u*w**2 - 11532*u*w wrt w?\nAnswer: 10186362*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223497513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 2*g**4 - 2*g + 27 - 52 + 2*g**3 to the form f*g**3 + k*g**2 + s*g + y + i*g**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -101, 0, -20 in ascending order.\nAnswer: -101, -20, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40456?\nAnswer: 2, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 18*q = -23*q - 315, 0 = 2*q - 2. Calculate the highest common divisor of a and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3846*m + 66898 + 26055 + 151288 + 17287 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 less than -55924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.1 - -19.1. Let m = 19 + -17. What is the closest to m in j, -3, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 174\/42 + 1*-3. Let o be 1 - 0 - 5\/2. What is the nearest to 2 in r, 0.1, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c**2 + 7*c - 5. Let n(k) = -6*k**2 + 4*k - 3. Let g(s) = 4*l(s) - 7*n(s). Suppose 5*t - 2*y - 3 = 0, 5*t = 53*y - 36*y + 138. What is g(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183803931?\nAnswer: 3, 1693, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101293243.7695428 - -0.2\nAnswer: -101293243.5695428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k + 2. Let c be x(0). Let g be 8\/(-36) + (-6)\/(-27). Suppose 11 = 5*v - 2*p, p = 4*v - g*p - 7. Is v != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/89))**(2\/53))**(-5\/8) assuming r is positive.\nAnswer: r**(-5\/9434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33977970 and 1755.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*h + 2544 = 358*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = j, -2*j - 13 = -u - 7*j. Let q(c) = 5*c + 11. Let s be q(u). Suppose 17 + 3 = -5*w. Put s, 2, w in descending order.\nAnswer: 2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*(6\/1)\/(38\/(-57)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h + 16 = 0. Are h and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -10\/7 (c) -0.3 (d) 0.6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 24 - 334 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 4*t**2 + 2*t + 0 - 1\/3*t**3. What is the units digit of s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 5*n**2 + 4*n. Let p be a(4). Let t(u) = -u**3 - u**2 + u + 12. Let l be t(0). Let g be 3\/4 + 27\/l. Solve 0 = -p*k - k + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4562770?\nAnswer: 2, 5, 53, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -654691722 divided by 2058779\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.3 + 52.3. What is the second biggest value in 4, 80, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.23 (b) 1 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23571659 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036472?\nAnswer: 2, 23, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -14089444218.\nAnswer: -14089444223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 (base 13) in base 7?\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/212 + -2993\/1908. Calculate the common denominator of i and -51\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 19.62663\nAnswer: -35.327934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3411833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: d97b3e (base 16) to base 8\nAnswer: 66275476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.5 and -158127.\nAnswer: -158121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4736 is divided by 1722?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.18 (b) 0.8 (c) -81.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 735\/198 - (-3 + 8) and -43\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-35) - (-6)\/5)*365. Let h = s + -169. Calculate the least common multiple of h and ((-4)\/(-3))\/(-2)*-3.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 9613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132098*f**2 - 1542*f - 9\/2.\nAnswer: -(514*f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.65 - -1.6500418. What is u rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -20*a**3 + 7300*a**2 - 1483404*a + 100385116. Let y(l) = -13*l**3 + 4867*l**2 - 988941*l + 66923411. Let s(v) = -5*i(v) + 8*y(v). Factor s(c).\nAnswer: -4*(c - 203)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1360.\nAnswer: -1\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -1.4 (b) -17 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1171*k - 568*k + 5625*k to the form p + n*k and give n.\nAnswer: 6228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (14 - 16 - (-9 + (-21 - 6))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 2*f**4 - 5*f**5 + 4*f**5 - f**5 - f**5 + (-364*f + 23*f**3 + 364*f)*(-f**2 + 0*f + 0*f).\nAnswer: -26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 < 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.2. Suppose 754 = -p + 1509 - 752. What is the smallest value in -3, -0.2, h, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.99223 rounded to two dps?\nAnswer: 8.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1769424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16)\/(((-15)\/(-20))\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5370 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w + 159. Calculate s(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y = -5. Let g = y + 7. Let z(w) = w + 6. Let j(t) = 2*t + 9. Let s(r) = g*z(r) - 5*j(r). Differentiate s(n) with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - c - 2. Suppose 4*h - 24 - 52 = 0. Suppose h = -7*y + 5. Let t(i) = 5*i**2 + 3. What is y*t(r) - 3*x(r)?\nAnswer: 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2460 - 2452. Let p = 4829 + -3182. Suppose o*h - p = -h. What are the prime factors of h?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/120 - a**5\/12 - a**4\/3 + a**3\/6 - 6*a**2 + 17*a. Let b(u) be the first derivative of h(u). Determine b(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 263*j**2 + 282*j + 11250. Give v(-262).\nAnswer: 6010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 33288.\nAnswer: 66576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (78\/(-21) - -2). Let p = -572\/1355 - -6\/271. Which is the closest to j? (a) p (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l*l)\/(l**(-1\/6)\/l)*l**(-1\/13)*l\/l**(-10) assuming l is positive.\nAnswer: l**(1099\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-12))\/((-6)\/(-8)). Which is the biggest value? (a) -1\/3 (b) z (c) 0.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4*q + 0*q)*(-4 + 1 + 1) + (0*q + 0*q + q)*(6186 - 3933 - 3606) in the form i*q + j and give i.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 - 8*u**2 - 12973*u - 12968. Give m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + -3 - (18 + 5 + 8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2608 + -2601. Solve k - 7 = -24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*94\/54 - 2\/(-9). Put o, 0, -2, 3 in descending order.\nAnswer: 3, 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or -1347\/14?\nAnswer: -1347\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14424? (a) -1\/5 (b) -33 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(816))\/((sqrt(243) + sqrt(27))\/sqrt(9)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 96. Suppose -b*k - 374 = -752. Calculate the remainder when k is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 55*p + 56 - 705. Suppose -4*d + 3*t = -202 - 113, d + 4*t = 74. Calculate the remainder when d is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 65. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(-2*h + 5*h - h) + 9*h + 4*h - h)*(-h + 5 - 5).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*s**2 - 267938*b**2*s + 14*b**2 - 4*b*s**2 + 3*b - 391*s**2 + 196 wrt b.\nAnswer: 4*s**2 - 535876*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7574, -30409, -68474, -121775, -190318, -274109, -373154, -487459?\nAnswer: -617030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-553)\/(-4) - 140\/112 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + p + 1 = 14*z, 6 = -4*z - 2*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 - 6*r**2 - 4*r - 2. Let c(b) = -10*b**3 - 7*b**2 - 5*b - 2. Let m(w) = 7*c(w) - 6*u(w). Solve m(v) = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-4)*w*w**(-1\/5) assuming w is positive.\nAnswer: w**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 0*a**3 - 7*a**3)*(2*a**2 - 5*a**2 + 2*a**2).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 65. Let i = 3 + 3. Suppose -40 = -i*h + 2*h. Calculate the lowest common multiple of n and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431208*l**5 + 4*l**3 - 2*l + 6895460?\nAnswer: 8624160*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3159*i + 88392. Calculate n(28).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 185 (b) -2 (c) -3 (d) 4 (e) 200 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6038081 is divided by 56963.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42692*n**5 + 7*n**2 + 1236187*n wrt n?\nAnswer: 853840*n**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 11*c - 5*c + 35, -4*c + 5*g - 29 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87255, -87264, -87281, -87306, -87339, -87380?\nAnswer: -87429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {j: 1, d: 1, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*u**2 + 3*d**3 + 127*d**2 + 4*d*u + 4*d - 111293*u**2 + u wrt u?\nAnswer: 10*d**3 - 222586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 1\/2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010751547289 rounded to 7 dps?\nAnswer: -0.0107515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -43 (d) -10022 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7902811705636*j**2\/3 + 28111940*j + 75.\nAnswer: (2811194*j + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97544.1 seconds in milliseconds?\nAnswer: 97544100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -364\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(300) + 2 + 1).\nAnswer: -40*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 723*g**2 + 631*g**2 - 2511*g**2 + 621*g**2 - 4*g + 649*g**2 - 1 as o*g**2 + z*g + m and give o.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -31*x + 219. Let y be t(7). Let -88 - 2*f**2 + 23*f + 31*f + 0*f**y - 6*f = 0. What is f?\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 3}. What is prob of picking 1 h and 2 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 2, x: 2, o: 4, v: 2, w: 1}. Give prob of picking 1 o, 1 g, and 1 w.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -91, -104, -119, -136, -155?\n\"Answer: -b**2 - 8*b - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254.5 + 247.5. Which is the smallest value? (a) 1\/6 (b) 0.1 (c) -8 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 80*q**4 + 43634040*q**3 + 5949768612485*q**2 - 2974892487630*q + 371861901845 = 0.\nAnswer: -272713, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -1170.\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 7*c**5\/60 - c**4\/8 + 4*c**2 + 6*c. Let a(o) be the first derivative of n(o). Find the second derivative of a(i) wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 45 = -2*b, -21 = -3*u - b + 24. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 13*d - 17. Let l(g) = -8*g - 12. Let q(r) = r + 2. Let a(w) = -l(w) - 2*q(w). What is -13*a(z) - 6*f(z)?\nAnswer: 6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 93.88817 centuries?\nAnswer: 9.388817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, m: 5}. Give prob of sequence mmml.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -105385950?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -79, -183, -329?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 13, -1, 1\/5, 2, -2415?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4960 = m - 4959, 0 = w - 5*m + 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0535 and -3312673.\nAnswer: -3312673.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -588.28 - -583.2163. Let w = -0.0637 - t. What is the biggest value in -0.3, -3\/5, 0.6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 68, 88, 90, 68, 16, -72?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 3) to base 12.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -1.02. Let j be (1\/4)\/((-1)\/(-2)). Which is the nearest to 1? (a) -3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaammaaaamm. What is prob of sequence ma?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*m + 7 = -16, -58 = 3*x + 2*m. Let g = x + 97. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28461696 divided by 47\nAnswer: 605568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31939\/5 - -6239. Let u = h - -148. Put -0.5, 5, u in ascending order.\nAnswer: u, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 - 9*u + 9. Let z be v(8). Solve -5*i - 6 - z = -2*o, -2*o - 17 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 103 - 123. Suppose g*u = -2*s + 58, -3*s - 3*u = -u - 65. Let i = 55 - s. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-10 + 4) - 2) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:24 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:48 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-168))\/(2\/72) - -3. Let j be (-51)\/36 + 2\/3. Which is the smallest value? (a) -2 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 45686*x**3 - 583*x**2 - 583. Let g(o) = -157*o**3 + 2*o**2 + 2. Give -583*g(u) - 2*z(u).\nAnswer: 159*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - (-72)\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 274 = -3*g + 3*h, 0 = -g - 5*h + 46. Let r = g + -51. Suppose -15 - 35 = -r*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h + 1. Let n be d(1). Let j be (5 + n + -3)\/1. Suppose -3*r = -5*m + 75, j*m = -4*m - 4*r + 60. Solve -4*x - x = -m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 5*n + 3. Let k be y(-3). Let v(m) be the first derivative of 7*m**2 - 5*m + 10. Is 20 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -10\/3332447 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + sqrt(19)*1 + sqrt(19))**2.\nAnswer: -40*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 6*a**3 - 8*a**2 + 0*a**2 + 2*a**2 + 7.\nAnswer: 6*a**3 - 6*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4728431648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + (4 + 6 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 28. Suppose -4*h + 7 + 29 = 0. Let w = 18 - h. What is the remainder when x is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1033230?\nAnswer: -1033222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*w + 8 = 2*l, -4*l - 3*w = -23. Suppose -7871 = -l*b - 61. Suppose -5*g = -5*r - 6525, 0*g - r - b = -3*g. What is g rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1590 + 2.\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaiii. Give prob of sequence iaai.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 889141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3 (c) -4\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79139393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -2. Let n = 402.2 + -12.2. Let c = 381 - n. What is the smallest value in c, z, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. What is the least common multiple of q and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/5 + 1249*s\/5 - 534482\/5 = 0.\nAnswer: -1586, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 16105007.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2. Let f(s) = -3. Let t(y) = -3*f(y) - 5*p(y). Let c(h) be the third derivative of -h**4\/12 - h**3 - h**2. Determine -c(l) + 5*t(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -24*j + 1. What is the remainder when g(-2) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/48*2\/(-3)*(-250)\/175?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 0*y**3 + 0*y**3)*(30*y - 30*y - 3*y**2) - 3*y**4 + 3*y**4 + y**5 + (4*y**2 - 4*y**2 - 2*y**2)*(3*y**2 - 7*y**3 - 3*y**2).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11357*f**2 - 5571*f**2 - 677*f**2 - 713*f**2 in the form d*f + w + z*f**2 and give z.\nAnswer: -18318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*l - 28 = -0*l, 0 = -4*a + 5*l + 42. Suppose -z - a = -5*z. Is z\/7 + 4887\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153.3 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 - 238*n - 6. Calculate g(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/507*26\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 37 - 39 + 76. Suppose -5*h = 5*p - 59 - 6, 5*p = 4*h - 34. Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 - (24 - (-9 + 6)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 88*f. Let r(m) = 76*m - 40*m - 37*m. Determine i(r(l)).\nAnswer: -88*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1483313669 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) 1\/5 (c) 2\/7 (d) 2.67 (e) -44 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539529 - -4.23?\nAnswer: 539533.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-2)\/12) - -8. Suppose l*c + c - 474 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/126 and -61\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 275.98 * 2391\nAnswer: 659868.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1174 = 3922. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 73 = -g, g + 5*x = 20 + 29. Calculate the highest common divisor of g and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 + -70. Suppose -5*u - 4 = -3*a - 37, -4*a + 34 = 2*u. Suppose -u*z + 67 = -158. What is the greatest common divisor of z and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2052 - -2262. Let o = 16 + 14. What is the greatest common divisor of w and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - q)*(-q + 3 - 3) + (-6*q**2 - 4*q**2 + 4*q**2)*(-5 + 8 + 6).\nAnswer: -53*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1084264?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.116 + -3.9\nAnswer: -3.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2759*x**4 - 7731*x**2 wrt x?\nAnswer: 66216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, 4, -211 in descending order.\nAnswer: 4, 3, -2, -5, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26084310 by 210.\nAnswer: -124211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2459416 and 3\/436348.\nAnswer: 27053576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16130 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = s - 0, 0 = -4*s + 4*c - 16. Let y(d) = d**3 + 4*d**2 + 5*d + 3. Let k be y(s). Solve -4*w - 3*i - 10 = k, 0 = -5*w - 3*i - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -37. Suppose -2*n - h = -25. Differentiate 2 - 33*l**2 + 24*l**n - 1 with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 10. Let k be p(-5). Which is the second biggest value? (a) k (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**4 - 24*q**3.\nAnswer: 4*q**3*(5*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 1.1. Let v = -2.6 + k. What is the closest to 1\/2 in 0.2, v, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 64*x**3 + 1224*x**2 + 3200*x - 11776 = 0. Calculate x.\nAnswer: -8, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431244 = -68*t + 884216. What are the prime factors of t?\nAnswer: 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.5, 17.7, 0.3?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 - 4. Let r = 0.3446 - 6.3446. What is the biggest value in -2\/7, r, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2, -4, -3521279?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 8*f + 17. Let d(q) = 3*q**2 - 15*q - 33. Let l(n) = 2*d(n) + 5*m(n). Suppose -5*i - 32 = -i. List the prime factors of l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -218559013 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = 2*r - 7, -b = 3. Suppose -5*c - 17 - 3 = 0, 2*c + 153 = 5*v. What is the remainder when v is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 0, 0 = 3*p + b - 306 - 66. Suppose 5*d + p = 8*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 89494, -2, -3.\nAnswer: -3, -2, 3, 5, 89494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 724951625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, 3\/4, -0.03 in increasing order.\nAnswer: -282, -0.03, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402 + -371. Calculate the remainder when 136 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lteuhbbe. What is prob of sequence lu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 5. Let o(r) = -11*r - 87. Let q(m) = -o(m) - 10*v(m). Calculate q(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351375033.83 - -0.8\nAnswer: -351375033.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 7229*1 + (11 - 67 - -54)?\nAnswer: 50589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5603 = i, -8*l - 182*i + 184*i + 44800 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 560.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 24. Give z(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 578, 2031, 4834, 9431, 16266, 25783, 38426?\n\"Answer: 74*u**3 + 9*u**2 + 2*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n + 6 = 0. Suppose -n*a = -4*f + 19, -f - 2 + 8 = -a. Let l be ((-5)\/20 + 34\/8)*f. Solve -3*p - p = l*v + 24, -3*v - 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.8. Let z = -64.8 - -65. What is the closest to m in z, 0.4, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2*(-14)\/(-14). Suppose s = -v + g, v - s + 3*s = -1. Solve -4*k = -4*p - 26 + 6, -5*p - v = 4*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-18*(-12)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-625)\/30 - (-12 - (-146)\/12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let w be 0\/((-2)\/(2 + m)). Solve w = 2*v + 1 - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 334 = -5*o + 313, 4*s + 123 = -23*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 3, -4, -0.2, 386021?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-1\/35))**(1\/16) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616 + 417 + x + 2*x - 833 - 88.\nAnswer: 3*x - 1120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tct when three letters picked without replacement from {t: 4, x: 6, c: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 103*t**3 - 5*t**2 + 7*t. Let c be s(1). Calculate the highest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*z + 15636 = 6140 - 17560. What is the remainder when z is divided by 90?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k + 1. Let z(v) = 4*v**2 + 11*v + 5. Let b(c) = -7*c**2 - 24*c - 9. Let d(s) = 4*b(s) + 10*z(s). What is -2*d(f) + 28*j(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 4*b**5\/5 - b**4\/4 - 31*b**2 + 1. What is the second derivative of w(h) wrt h?\nAnswer: 48*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0432 * 0.963\nAnswer: 0.0416016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116226763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8738 divided by 514.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.5186 weeks in hours?\nAnswer: 154143.1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17861010 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, -2, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 36*x**2 - 144*x - 192 = 0. Calculate x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 76 = -4*t, -m - 102 = -8*t + m for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/7)\/(-2 + 52\/28). Suppose -39*q + 8 = -37*q. Solve -5*p = -2*a - 0*p + v, a + 10 = -q*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-225)\/(-10) + (-2)\/4. Suppose 2*p + 8*u - 4*u - w = 0, -3*u = -4*p + 66. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -34. Let l(q) = q - 8. Let x be l(b). What are the prime factors of x\/25*150\/(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14380 + 14392. Solve 3*j + 1 = -5*i, -7*j + 8 = -t*j - 2*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose -a - d*s - 3 = -9*s, -5*s = -2*a + 4. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 29*p + 218. Let x be i(9). Let l = 480 - x. Which is smaller: l or 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + z. Let s be k(-1). Let y be 2*(2\/s + -3). Let l be y\/6*(1 + -2071). Round l to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 612438 - 4644729811\/7584. Find the common denominator of n and -23\/9.\nAnswer: 22752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(475))*-6*-5)**2 + (sqrt(76)*-5 + (sqrt(19) - (sqrt(114)*3)\/sqrt(6)))*-6.\nAnswer: 54072*sqrt(19) + 1718100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419 + 417. What is the fourth smallest value in 3, -0.1, g, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.66 in -3, 2\/9, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 4*j**2 - j + 2. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1346)\/6 + (-2)\/3. Let s be c\/3*6\/(-15). Let a = 53 - s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - m)*(-254 - 58 - 122).\nAnswer: -868*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + c = 124, -c + 12 = 2*c. Let k be h\/((4\/(-3))\/2). Let i be 1\/(3*3\/k). Solve -23 = 3*t + 4*n, -2*n + 20 = i*t - 7*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -37*a**3 - 11*a - 8. Let k(o) = -o**3 - o**2 + 1. Let b(m) = 3*k(m) + t(m). Is b(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*r + 15, 0*r = -i - 2*r + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 + 18*u**3 - 106*u**2 - 18*u + 104 = 0.\nAnswer: -13, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74604137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-140) + (0 - (-8)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxxfozuffxfcxxfu. What is prob of sequence xxz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139328267 and -0.4.\nAnswer: 55731306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6390*t + 108 - 108.\nAnswer: -6390*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 760549 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*v + 4*v - 127*v - 2572 = -7612 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241145013 (base 6) to base 13.\nAnswer: -c2c403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2466 + -2313. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*7*35\/98)\/(165\/(-36))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**9\/9 - o**5\/60 - o**4\/24 + 11*o**2. Find the third derivative of r(v) wrt v.\nAnswer: 6720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-245)\/(-30) + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afanwaffaa. What is prob of sequence nw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r + 8*r + 420 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-195)*-403*87\/(-116)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + 6*y - 9. What is o(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 1 in increasing order.\nAnswer: -0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28.9. Let f = 5.9 - t. What is the second biggest value in 1\/11, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {p: 9, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 47*m + 3. Determine w(-14).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.013 - 0.013. Let s = 41 - 94. Let r = s + g. Which is the nearest to -1? (a) r (b) 1\/16 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -2*s**2 + 0*s**3 + 0*s**4 + 0*s + 1\/20*s**5 + 6. Let h(d) = 16*d. What is x(h(c))?\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c**5\/3 + 18*c**4 - 376*c**3\/3 + 290*c**2\/3 + 28*c - 80\/3 = 0 for c.\nAnswer: -5, -1\/2, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/620*1\/(-5*4\/(-50)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 79. Solve -w*q + 16 = -o + 2, 18 = o + 4*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdyhkdkhy. What is prob of picking 1 d and 3 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315227581*r - 4 - 8*r**2 + 315227581*r.\nAnswer: -8*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/600 + a**5\/15 + a**4\/120 - 2*a**3\/3 + 367*a**2. Let d(h) = 0. Calculate h.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 276*k**2 + 33*k**2 + 543*k**2. Let w(h) = -5*h**2. Give j(w(f)).\nAnswer: 21300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuubuuuuuuugueu. What is prob of picking 1 b and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3181798*n**2*v - 270*v - 390771 with respect to n.\nAnswer: -6363596*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/253 - (-16)\/1104*-132?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h, 3*h - 244640 = -3*j + 2*h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0148*-0.08\nAnswer: 0.001184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:59 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-2\/15)*h)\/h*h)\/h)\/h*h*h\/(h*h\/((h*((h\/((h*h*h**(-1\/2)*h)\/h))\/h)\/h*h)\/h))*h*((h\/(h\/(h**0\/h)))\/h*h)**(-25) assuming h is positive.\nAnswer: h**(731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4 - 232*h**2 - 18646*h + 407742876 with respect to h.\nAnswer: -12*h**3 - 464*h - 18646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -141455520 divided by 5\nAnswer: -28291104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 12:31 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77594157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6581811 + -6581749.72826. Let f = a - 20.2705. Let b = f + -41. What is b rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 9*l**2 - l**3 - 3 + 12 + 2*l**3 - 5*l**2 + 13. What is f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2601637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.917057 and 0.035.\nAnswer: -6.882057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 5, w: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:26 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -16. Suppose -g + h + 1 = 0, b*h - 19 = g - h. Suppose 6*k = -g + 198. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a**2 - a + 3*a + 2 + 0*a - a**2. Let h be v(8). Let w = -31 - h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:14 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0 + 0*f**3 + 1\/12*f**4 + 0*f**2 + 6*f. Let z(t) = -3*t. What is x(z(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1037 + -1042. Which is the nearest to -3? (a) -8 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6575 divided by -1395.\nAnswer: 1315\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 28960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - (0 + (-26 - -18))) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - ((-914)\/96 - 666\/(-148)). Let u(o) be the second derivative of -5\/4*o**2 - 3\/8*o**3 + 0 + 43*o + x*o**4. Factor u(n).\nAnswer: (n - 10)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20 and -1\/12798.\nAnswer: 127980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/551?\nAnswer: 2\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and -121\/2668950?\nAnswer: 5337900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 274 (c) 6857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -81 + 81 + 35*a**2. Let f(z) be the third derivative of z**4\/24 - 9*z**2. Give p(f(c)).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(-7*13\/(-1365))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 19*b**5\/10 + 289*b**4\/4 + 938*b. What is the third derivative of m(a) wrt a?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -29*d + 2*a - 20, -30 = -2*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16699 by -44.\nAnswer: -16699\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k**3 + 5*k**2 - 5*k - 5. Let j(a) = -18*a**3 - 4*a**2 + 4*a + 4. Let c be (77\/14 - 5)\/(4\/40). Calculate c*j(w) + 4*p(w).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3784 divided by 43.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*c**2*k**2 - 2*c**2 + 35*k**4 + 252 wrt k?\nAnswer: -50*c**2*k + 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3. Suppose -m*d = 4*g + 65, -4*d = 4*g + 25 + 31. Let l = d + 48. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 10, g: 1, k: 1}. What is prob of sequence gzx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 18*j + 6, 0 = -4*c + j + 11. Solve -4*u + 30 = c*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2070 and 0.04193.\nAnswer: -2069.95807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + -6621891?\nAnswer: -6621890.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 12*j - 33. Let t = -107 + 113. Let f be y(t). Solve -5*x + 5*h + 5 = 0, f*x - 6*h = -2*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 1 c when three letters picked without replacement from xccczxlxxoooddo?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.4, 2\/7, 0.1, -15 in descending order.\nAnswer: 3\/4, 0.4, 2\/7, 0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54056 - 85*q**2 + q + 54056)*(5*q + 2*q - 5*q).\nAnswer: -170*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*(4452\/(-1378))\/((-16)\/364)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082970613 to 4 decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 322, -2, 5, -3, 3 in descending order.\nAnswer: 322, 5, 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 4*v**2 - 4 + 2*v - 50*v**3 + 49*v**3. Does 15 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = c - 17, 4*c + 2*b = 70. What is the remainder when 3601 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) - sqrt(864)*-3)\/(sqrt(16)\/sqrt(8)*-2) - ((sqrt(48)\/sqrt(4)*-3)**2 + (sqrt(12)\/(sqrt(196)*-1))**2).\nAnswer: -5295\/49 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23782 and 26312.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/163567 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 5\/2*v**3 + 1\/4*v**4 - 8*v + 0 + 9\/2*v**2 - 3\/20*v**5. Factor l(b).\nAnswer: -3*(b - 3)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 9:22 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*f + 38, -3*z + f + 39 = 8. Suppose -l + z = 4. Let u = l - 8. Solve -5*v - 21 + 1 = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/22 - (2 + 7\/(-3))*(-104550)\/37400.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-2))\/4)\/((-7)\/7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 2. Let q = r + -12. Let w(i) = i**3 - 5 + 331*i**2 - 615*i**2 + 288*i**2. Calculate w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 8*i + 21. Give t(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*p**2 + 409*p**2 - 4*p + 2*p + 2*p.\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0 - 1\/6*g**4 + 3\/40*g**6 - 1\/70*g**7 + 4\/9*g**3 - 6*g**2 - 7\/90*g**5 + 0*g. Solve v(x) = 0 for x.\nAnswer: -2\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75.999 + 76. Let u = h + -48.001. What is the second biggest value in 2, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3886236 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:52 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7) + (-111 - -42)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/151515 and -92\/273?\nAnswer: 151515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, 163.\nAnswer: -3, 1, 5, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 88*y + 62. Let w be g(30). Let v(l) = -29*l + 7. Let p(o) = 28*o - 7. Let h(i) = -4*p(i) - 5*v(i). What is the tens digit of h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4137355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -673?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2 - (-6 - -3))*(-3 + (-10680)\/(-3640))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 541828 and 190372?\nAnswer: 7043764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -231.6135232 to zero decimal places.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -35 - 21. Calculate the highest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 0*v**2 + 16*v**2 - 6*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuqlb. What is prob of sequence lu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 60 = -5*j, 5*j + r = 52. Let g = 29861 - 29853. Suppose -2*k = -5*k. Solve -g*i + 3*i - j = k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 4, q: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.87 = 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/13 + 384*m**4\/13 - 1804*m**3\/13 - 12288*m**2\/13 - 10098*m\/13 = 0. Calculate m.\nAnswer: -3, -1, 0, 9, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 6615 = -2*h. Let x = -8015\/6 - h. Calculate the common denominator of 29\/20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251690*n**5 + 429633*n.\nAnswer: -5033800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(-4 + 2 + 4)*(-2*m**2 + 0 + 0) to the form g + l*m + t*m**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336918028 - -0.33.\nAnswer: -336918027.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q = -51*q - 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19709 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xypc when four letters picked without replacement from {c: 3, v: 2, x: 1, a: 2, y: 2, p: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4, -3*f + 2*f = 3*r + 8. Are f and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 22*p - 6. Let t be j(-8). Suppose -2 = -4*k + t. Suppose 3*w + 0*w = 99. What is the highest common divisor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124842\/101 less than or equal to -1235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435988 is divided by 85815?\nAnswer: 6913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 252, 504, 756?\n\"Answer: 252*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14073\/1387 + 192\/19. Let l = y - 283\/219. Let t(v) = -v**3 + 3*v**2 - 3*v. Let m be t(2). Is l not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 37165257\nAnswer: 5\/37165257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -5*s + 8, -4*k - 4 = 0. Find the common denominator of (328\/12)\/(s + (-15)\/3) and 46\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14881 - -25?\nAnswer: -14856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 46, 6, 4, -154 in descending order.\nAnswer: 46, 6, 4, 3, -1, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1077 and 348.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from sevsssevzjvefs?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/48)\/((-18)\/54).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1719 - -1718.9. What is the closest to o in 5, 2, 0.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511760701 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b - 167. Let d be o(18). Suppose 64*n - d*n = -9. Solve 4*z - 8 + 0 = -n*l, 5*l + 40 = 4*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57498594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, 3.6, -0.3, -15, -0.8 in descending order.\nAnswer: 3.6, -0.3, -0.8, -8\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.019 from -0.1358.\nAnswer: -0.1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12974516 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17426889 divided by 3\nAnswer: -5808963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25175\/(-1060) - 957\/(-33).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) -2\/5 (c) 1\/4 (d) -0.075 (e) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-3\/2)*t)\/t))\/t*t*t)**(-3\/5) assuming t is positive.\nAnswer: t**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v - 15. Let q(i) = -5*i**3 - 6*i**2 + 5*i + 6. Let t(k) = -3*k**3 - 4*k**2 + 3*k + 4. Let o(u) = v*q(u) + 8*t(u). Solve o(g) = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630496086?\nAnswer: 2, 3, 11, 9552971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q = 5*d + 112, -4*q - 2*d + 158 = 0. Suppose 0 = -9*c + 65 + 124. What is the remainder when q is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.6, -3\/5, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**4 - 26*k**3 + 1667*k**2.\nAnswer: -72*k - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8441 + 8436. Do h and -3\/119 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -j + 5*k, -3*j + 7*j = -5*k + 91. Calculate the remainder when 111 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 4 in decreasing order.\nAnswer: 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*x**2 + 37*x**2 - 55*x**2 - 227*x**2 to b + m*x**2 + p*x and give m.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/21 + 4 + (-33)\/105\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 - 7*x - 10. What is the least common multiple of j(-4) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13707?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273\/8 - 8\/(61 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351 - 404?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127863506 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: What are the prime factors of 4367829?\nAnswer: 3, 59, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420468851?\nAnswer: 11, 37, 809, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/33 and -89\/366?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 + 1 = 2*d, 4*u = d + 19. Suppose -u*p = -51 - 141. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 + -10 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 25 = 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52492.\nAnswer: 2, 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10))\/(2\/(-190)). Suppose -m = -3*b + 21. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + h + 5*r = -13, 3*r = 2*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 18 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -447097585 and -3.\nAnswer: -447097588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:59 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8650\/12 - (3 - 95\/30). Let b = i + -437. What is the greatest common factor of 71 and b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 32*i + 3. What is s(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 165764346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212738923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19684 (b) -1\/6 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 - 3*d - 2. Let r(z) = -z**2 - 9*z - 3. Let y be r(-9). Let x be u(y). Let i be (-4)\/6 - x\/(-6). Is -5 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t)*(-35351 + 18368 + 19016).\nAnswer: -2033*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.2. Let t = -23 - -22.6. Sort 4, t, n in descending order.\nAnswer: 4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.857541 milligrams in nanograms?\nAnswer: 3857541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 308 - 292 = 31*h. What is the highest common factor of h and 21725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163105 or -163106?\nAnswer: -163105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121230 divided by -1121230?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3 - m**3 - 4*m**2 + 2284*m - 2287*m - m**2. Calculate u(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563231 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9666875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 1513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111.7 + 0.7. Let y = -110.99 - k. Sort -0.07, 1, y, 4 in descending order.\nAnswer: 4, 1, y, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -817 + 842. What is the remainder when 126 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 8*m**2 - 5*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*i - 167, -4*q = 4*i - i - 285. Let o = i + -48. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 8050, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 412\/6797 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {o: 1, i: 1, t: 1, d: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*n + 44 = -18, -5*m + 105 = -5*n. What is the highest common factor of m and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 429.958 + 1.042. Let a = q - 436. Let i = -99\/4 + 25. Put a, -0.3, i, -4\/9 in decreasing order.\nAnswer: i, -0.3, -4\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htxrzhhkrzkt. What is prob of picking 1 z and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 84. Let a(t) = 47*t - 1008. Let g(i) = 2*a(i) - 25*k(i). Give g(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 4263952*h - 4263952*h - 3*h**3 + 18*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2\/35))\/t)\/(t\/t**(-7)*t))\/((t\/t**(2\/19))\/(t*t*t**(-6))) assuming t is positive.\nAnswer: t**(-9202\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1)*960\/10. Calculate the highest common divisor of y and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(245) + 0 + 3*(-2 + sqrt(80)))**2*-3.\nAnswer: -5778 + 1254*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2*2 + sqrt(180))\/(sqrt(10) - sqrt(10)*-3*2) + 0.\nAnswer: -9*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, e: 5}. What is prob of sequence ee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 - 3*c + 4. What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29006037 divided by 674559\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93627 + -4742.\nAnswer: 88885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81380323\/4239 + 19198. Is v < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 180317.\nAnswer: -1983487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 240. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (330 + 62 - 39)*(-3*u - 4*u + 5*u).\nAnswer: -706*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 0)*(-3 - -2)*(5 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 0.2, 3, -8 in ascending order.\nAnswer: -9, -8, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gen when three letters picked without replacement from nxxxxxnglxexgxexde.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l - 1. Let v(y) = -y**2 + 8*y - 4. Let i be v(8). Let q be k(i). Suppose -16 + 0*s**q + s + 7*s + 6*s**3 + 20*s**2 = 0. What is s?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 3*s - 16. Let k be i(10). Let n be (-4)\/(-18) - (-33252)\/k. Let y = -4917\/8 + n. What is the common denominator of y and -9\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101010110 (base 2) to base 13.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/11 or -1\/129?\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s + 2138627 - 2138627.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10*-5742664\nAnswer: -57426640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3953*4747\nAnswer: -18764891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 116201030*h - 675133968653045 = 0. Calculate h.\nAnswer: 11620103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*d**3 + 3 + 2*d + (3*d**2 - 4*d**2 - d**2)*(2*d + 0 + 0) + (-5 + 2*d**3 + 5)*(3 - 7 - 3).\nAnswer: -15*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -35, -46?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g + 6*m + 114 = 0, -4*m + 8*m = 7*g + 324 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*q**3 + 3*p*q*z - p*z - 11191*p + q**3 - 7576*q*z wrt p.\nAnswer: -2*q**3 + 3*q*z - z - 11191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.3 (c) 4\/39 (d) 28 (e) -0.5 (f) -66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 252*l - 991. Let w be y(4). Solve -w*h + 12 = -21*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + 799*d**6 - 59*d**2 + 768*d**2 - 2*d**5 - 103*d**6 wrt d?\nAnswer: 83520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002499 rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2650ac (base 13) to base 9.\nAnswer: -1658865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i - 209. Let j be n(-14). What is the nearest to j in -0.3, 5, 413?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206.7209 - 206.72. Put -1\/6, -0.4, s in decreasing order.\nAnswer: s, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18605 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -3 (b) -125\/268 (c) 2\/7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u + 3. Let p be o(-2). Let m be (28\/(-5))\/(2\/p). Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 27. What is the remainder when 56 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2a?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -21 + 1. Let l = w + -2. Suppose -l*h - g - 2 = 3*g, -g = 3*h - 7. Solve 0*n + 2*k - 9 = -n, 0 = -3*n + h*k + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1480 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-26)\/s**(1\/35)*s**(-2\/19)*s*s**(-5)*(s**(-1\/5)\/s)\/((s\/(((s\/s**(-5))\/s*s)\/s))\/s*s) assuming s is positive.\nAnswer: s**(-18177\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 317040 + -2?\nAnswer: 317038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228 * 0.3165.\nAnswer: -72.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 4. Let f be q(9). Let u = f - -7. Suppose 7 = g + u. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/15 and -1\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**2 + 12*m - 45. Let r(q) = 4*q**2 - 7*q + 22. Give 5*r(p) + 3*s(p).\nAnswer: -p**2 + p - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let q(y) = y - 6. Calculate q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/80 and 101\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 + 2*k - 2. Let l be p(1). Solve 4*j + l*d = 5*d + 25, -5*j = -4*d - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**2*r*x + 3*q**2*x + 4896*q*r**3*x + 221278*r**3 + 2*r*x + 2*r with respect to q.\nAnswer: 12*q*r*x + 6*q*x + 4896*r**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 47. Let n(o) = o**3 + 13*o**2 - 2*o - 16. Let s(h) = h**2 + h. Let k(y) = q*s(y) - n(y). What is the remainder when 57 is divided by k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -63*k**4\/4 + 49*k**3\/6 + 10*k + 6. Let f(y) = 19*y**2 - 5*y. Calculate -49*f(t) - 5*q(t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-3))\/((-4)\/26). Let o be 2*(x\/(-78))\/((-2)\/6). Solve -2*w - z + 0*z = o, 5*w + 2*z = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289 + -177. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50634\/(-11252)*6\/(-441)\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = 0, -4*i + 61 + 3 = 4*r. Suppose 843 = -r*s + 4209. Is 59 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 4. Let n(m) = -3*m - 9. Let o = 45 + -48. What is o*n(r) + 7*u(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 7*x**2 + 7*x - 4. Let z be y(6). Suppose 2*h + 7 = 47. Suppose z*r + 2*g = 20, 3*g + g = -2*r + h. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731228929.\nAnswer: 71, 10298999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 133758 = -12*w - 15*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 9, -90*c + 95*c - 80 = -5*m for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8845.538 rounded to the nearest 10?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3\/4 (c) -0.3 (d) -3\/5 (e) -0.4 (f) 461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 6 - (-1 - -2). Find the third derivative of w**3 + 0*w**2 - 2*w**3 - p*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 + 7*i + 107 - 38*i**3 - 4*i**3 + 49*i**3 to the form m + l*i**3 + d*i + j*i**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and -27005423.\nAnswer: -27005410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v. Let j(n) = -99*n - 1. Give r(j(t)).\nAnswer: -693*t - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -331210000 rounded to the nearest one million?\nAnswer: -331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/120)\/(-6*9\/24)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163a + 160276?\nAnswer: 161905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -443 (base 7) to base 14\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/19)*h\/h**(-1))\/(h**1)**(17\/6)*(h*(h*h\/(h*(((h\/(h\/((h\/(h\/h**(-1)))\/h)))\/h)\/h)\/h))\/h*h)**(-33\/4)\/(h**1\/(h**(2\/3)\/h)) assuming h is positive.\nAnswer: h**(-13637\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 4. Let r = -3 + m. Suppose 51 = r*a - 9. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j**(-7\/4))\/((j**10\/j*j)\/(j*j*(j*j**(-1\/6))\/j)))**(-8\/11) assuming j is positive.\nAnswer: j**(322\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3149*c**2\/2 + 94464*c\/5 + 72\/5 = 0.\nAnswer: -12\/15745, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 11*s - 20. Let v be l(8). Suppose v*w + 13 - 61 = 0. Calculate the remainder when 34 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -33 + 15 - (1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 + 434\/(-35).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/5 + 966*z**4\/5 + 45414*z**3\/5 - 93718*z**2\/5 + 9468*z = 0.\nAnswer: -45, 0, 1, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 5 - 6 - 4*b**3)*(-2*b + 1 - 1).\nAnswer: 2*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, u: 2}. Give prob of sequence uhu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 572\/17*t + 2\/17*t**2 + 40898\/17 = 0.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917664637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**3 + 56*l**3 - 16*l**3 + 2 + 2*l + 8*l**2 - 21*l**3 as v + o*l**3 + u*l + r*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19845 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 10*l**2 - l + 13. Let o be w(10). Let s = o - -1. Find j, given that -3\/4*j**2 + 3\/4*j**3 - 3\/4*j + 0 + 3\/4*j**s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m - 24*m**2.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:39 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {p: 6, d: 4, y: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-38*d - 122*d + 30*d) + 4*d + 0*d - d + (2 + 0 - 4)*(0*d - 4*d + 2*d) + 56 - 10*d - 56.\nAnswer: -393*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28287?\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/264 - (-31)\/(-110) - (-297)\/1870.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 + -147. Suppose q*k = 26*k + 88. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -x - 8, 6 = -x - 2*l + 16. Solve 0 = -0*a + x*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8540474148793202*q**2\/3 - 522776408*q\/3 + 8\/3.\nAnswer: 2*(65347051*q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 + 2*u**2 + 4*u + 3. Let i be r(-2). Suppose -q + i = -1. What is the highest common divisor of q and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = -215. What is the common denominator of (-9)\/12 - d\/(-28)*-5 and 143\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 9 = 16*x. Suppose m - 1 = -x*d, d - 5 = -3*m - 2. Solve 5*w - 21 + m = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 291. Determine a, given that -9*a**4 - 285*a**3 + a - a + 3*a**5 + h*a**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -1606?\nAnswer: -19\/1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465 or -384?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 0.12, -2\/11, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3) - (-3 + sqrt(3))) - sqrt(6)\/sqrt(98))*-2)**2.\nAnswer: 24*sqrt(3)\/7 + 1776\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Suppose 2*n - 30 = 4*y, -n - 9*y + 5*y + 3 = 0. Let v be (52\/(-10))\/(n\/(-55)). Solve v - s = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 8) in base 4?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d - 130 + 63 + 67.\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -17*a**9\/168 - a**8\/336 - 601*a**5\/60 - a**3\/6 + 1100*a**2. What is the third derivative of q(h) wrt h?\nAnswer: -6120*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0*m**2 + 2*m - 2*m**2 + m**2 - 3. Let w be (-8)\/(24\/(-9)) + -3. Suppose -2*i = -2*r - w*i + 6, i = 3*r - 7. Calculate g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6135, -12003, -17871, -23739, -29607, -35475?\nAnswer: -41343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -70 + -0.0173282122763\nAnswer: -70.0173282122763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14634*f**2 - 160*f - 6*f - 14343*f**2 - 79*f wrt f.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/6 + 25*t**2\/6 + 16*t\/3 - 26 = 0.\nAnswer: -3, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 4*g**2 - 2. Let s(i) = 3*i**2 - 1. Suppose 5*x + 8 = 3*x, -x = -q + 1. What is q*s(f) + 2*r(f)?\nAnswer: -2*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 241, 482, 735, 1006, 1301, 1626, 1987, 2390?\n\"Answer: j**3 + 234*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 68 + 123 = 5*r, 2*l - 35 = -r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = 2*r. Which is the nearest to -3? (a) -0.5 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**7\/30 + p**5\/10 - 35*p**2. Find the third derivative of g(z) wrt z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 + 97340*m**2 + 473753780*m = 0.\nAnswer: -9734, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**2 + 5*q - 5. Is 25 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19994315.\nAnswer: 5, 11, 363533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11.97426, 2, -0.3?\nAnswer: -11.97426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*a**3 + 0*a - 37*a**3 - 3*a - 9*a**2 as d + l*a**3 + s*a**2 + f*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5*b - 11 + 20.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/24 and 179\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/253*110*(-8)\/(-1120)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + 27. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((-26)\/(-4) + -3))*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4161, 8321, 12483, 16647, 20813, 24981, 29151?\n\"Answer: g**2 + 4157*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 12 = -3*o, -2*q = -5*o + 20. Let v = 33 + q. Suppose -48 = -3*u + v. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -25*m + 24*m, -o = -4*m + 10. Solve -3*g + 5 = 2*q, -m*g - 6*q + 15 = -9*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 + -184. Let c be 2\/(((-130)\/(-15))\/l). Solve y + c*v = v - 1, -3*y + 3*v + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -28*c**2 + 1765*c - 22688. Determine u(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 34*k - 1055. Let m be s(54). What is the highest common factor of m and 7775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k + 451*k**2 - 892*k**2 + 2*k - 40*k**3 - 1 + 441*k**2 to the form w*k**3 + v*k + x + z*k**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40477?\nAnswer: 17, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 25 - 47*x**3)*(0 + 2 - 1)*(-25 - 2 - 11) in the form w*x**3 + f*x + y + q*x**2 and give w.\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + t - 1, b - 5*t = -0*b - 17. Suppose b*g = -2 + 8. Suppose 0 = g*r - r - 38. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*m + 581*m - 328*m + 164*m - 1643 wrt m?\nAnswer: 523","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 107*a**2 - 2733*a + 13550. Give c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, m: 3, j: 5, f: 4}. What is prob of sequence mmj?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-9) + -54 + 57?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqtotxnnonmnnon. Give prob of sequence xx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:09 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 14a1?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -10)\/(2\/5). Let j(b) = 1. Let n(m) = -m - 2. Let c(g) = -6*j(g) - n(g). Give c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12034 - 1001201?\nAnswer: -1013235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 7600641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(51 + 0 + 11)*(-3*l - 8*l + l) in the form m*l + d and give m.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - (1 - 10) - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5054 and 5378900.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.2, -2, 27, 0, 120 in increasing order.\nAnswer: -5.2, -2, 0, 27, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 5*o - 3*o)*(-618*o**3 + 0 - 2 + 610*o**3) to r*o**4 + h*o**3 + y*o**2 + k*o + n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*(-324)\/108.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 853603.6 grams?\nAnswer: 0.8536036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 - 252. Suppose 5*c + q*r = 8405, r - 4*r - 1681 = -c. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32816719 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -1. Suppose d = -2*d + w. Which is bigger: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-231)\/(-225) - 1). Calculate the least common multiple of (-17)\/(-15) - 10\/m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 48. Let n = 63 + r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 21*j + 8. Let s be t(-11). Let f = 58 + s. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*q + 159856 = 2842*q + 1669*q + 535027 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:10 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g = 47*g + 8. Suppose -18 = 3*v - g*v. What is the least common multiple of v and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -2.\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + -12 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6462.\nAnswer: 12924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -0.075, -0.4, 17, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 8*m - 3. What is p(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2384454.\nAnswer: 5\/2384454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14391557 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjyhyjr. What is prob of sequence yhyc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-3))\/(1 + 12\/(-9)). Suppose 3*z + r - 40 = 0. Calculate the lowest common multiple of 2\/(-7) - 204\/(-28) and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 93*j - 1 - 46*j - j**2 - 4*j**4 + 3*j**4 - 48*j to n*j**2 + z*j + m + o*j**4 + u*j**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93818 is divided by 31269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/16 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (sqrt(117) + 0 + 5)**2)*4.\nAnswer: 120*sqrt(13) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 0.2. Let f = 13 - 15.5. Let r = z - f. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 27 = 2*p - 0*d, 2*d = p - 18. Let x be 1\/((-2)\/(-12)) - -1. Let l = p - x. Solve -4*f = -5*m - 1, -4*m - 2*f + l = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227 + 127756?\nAnswer: 127528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1621241.99131612 and -3.\nAnswer: 1621238.99131612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-14))\/(18\/189). Solve -4*v - 16 = 2*i - 0*i, f*i = -v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 79. What is the nearest to -2 in m, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107461900 divided by -980\nAnswer: -109655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v, 0*k - 5*v = 2*k + 49. Let l = k + 48. Suppose 3*d + d = l. Let b(z) = z**3 - 5*z**2 + 4*z + 1. Calculate b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -4) + (-35 - (-2 - 32)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*m = -66, 3*u + 2*m - 291 = -313. Let j(g) = -g + 10. Calculate j(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (1 + sqrt(7) - sqrt(7)) + sqrt(7) + (-5 + sqrt(14)\/sqrt(2))**2)*3.\nAnswer: -162*sqrt(7) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 10. What is o(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.150799675 and -128.\nAnswer: -128.150799675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267356717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37761386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s + 1. Let z be w(-1). Let q = -1438 - -1438. What is the nearest to -0.1 in z, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1102861*f + 1884 = -1101919*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (-77)\/(-3). Suppose q*b = 22*b + 60. Solve 2*c + c = b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**2 - 4\/3*w**3 + 0*w + 0 + 1\/24*w**4. Determine q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11993245 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/172 and 39\/4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/3)\/(4\/(-12)). Let k = 7 + a. Let d be (2\/6)\/((-1)\/k). Let u(f) = 8*f - 2. Let b(q) = q. Give d*b(t) - u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069543.\nAnswer: 7, 59, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5154230.53 to the nearest 100.\nAnswer: -5154200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7*h - 237. Let p be v(-13). Sort 4, p, 6, 1, -5 in decreasing order.\nAnswer: p, 6, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 5*f - a - 25*a, -19*f - 5*a = -21*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1634 + -787. Let i = 1387 - o. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -11. Let r(g) = g**2 + g - 12. Let y(o) = 2*o**2 + 3*o - 23. Let k(c) = -11*r(c) + 6*y(c). Determine k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.86 and -14540.73.\nAnswer: -14544.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.037 - 0.06. Let b = h - 0.103. What is the closest to 0 in b, -0.08, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449423889 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2763169.76 to the nearest 1000.\nAnswer: 2763000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 14 - (14 - 90 - (6 + -5 + -8))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/60*o**5 - 3*o**2 + 0 + 5\/24*o**4 + 1\/2*o**3 + 0*o. What is u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -1\/360*p**6 + 0*p + 1\/24*p**4 - 1\/30*p**5 + 2*p**2 + 0*p**3 + 0. Let r(k) be the second derivative of v(k). Calculate r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55120, 108491, 161862, 215233, 268604?\n\"Answer: 53371*n + 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976405221.6 plus 1604?\nAnswer: -4976403617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -4*o - 13. Is o at most as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 13. Let l(q) = 3*q + 20. Determine 5*l(c) + 8*s(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 72570 = -17*i - 71164 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -571*c + 569*c. Is (-42)\/c + 152620\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -5. Suppose l = -2*x + 5*l, -3*l = -5*x + 28. Suppose -v*s = 2*s - x. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - a = -6, 6*a - a = 5*r - 20. Suppose -r*k = -4*m + 397, m - 108 + 2 = -k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10 - 90\/(-108))\/((-168)\/(-4))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*p**2 - 84*m**2*p**2 + 6118*m**2 - 6855*m*p**2 - 244*m*p + 2*m wrt m?\nAnswer: -18*m*p**2 - 168*p**2 + 12236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9990366 divided by -2\nAnswer: -4995183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 265. Let j = s + -186.8. Which is bigger: -39 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14314 is divided by 129.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2379 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a, 4*i + 3*a = 8*a + 12. Suppose 5*v = 4*v + 1. Suppose j - v = 2. What is the remainder when i is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3723.235g to micrograms.\nAnswer: 3723235000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(1740\/105)*5124\/183.\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 23*x + 155. What is b(15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/3 + 8*d**4\/3 + 23*d**3\/3 + 28*d**2\/3 + 4*d = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(11))**2 - sqrt(11))*-4*-5.\nAnswer: 620*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 + 420 = 4*c. Let u(k) = k**3 + 3*k**2 - 6*k - 4. Let t be u(-4). Let o be (-1)\/2*t*-15. Calculate the greatest common factor of o and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 6150*t - 1891125.\nAnswer: -5*(t + 615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64479*u**2 - 8*u - 12889?\nAnswer: -128958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 12*o - 3. Let y be a(-12). Let c(d) = 3*d**2 - d + 2. What is the units digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4\/4 - 74305*c**3\/4 - 297275*c**2\/4 - 371615*c\/4 - 74325\/2 = 0. What is c?\nAnswer: -2, -1, 14865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuauuuauauuuuuuuau?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*o - 21*o + 30 - 3*o**2 - 291*o + 5*o**3 - 32 in the form l*o + f + t*o**3 + n*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035016 to five decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46222388939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(-1 + 0 + 3 - 2 - 1 - 2 + (5 - 4 + 0)*(-5 + 5 + 1))*(3*o**2 - 2*o**2 + o - 3 + 4).\nAnswer: 6*o**2 + 6*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/7 - 38*q + 3024 = 0.\nAnswer: -189, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 30 = 5*m. Suppose 4*u - 3*i = 16, m = u - 4*i + 2. Suppose -22 - 28 = -3*w + u*s, -4*s - 30 = -w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*j + 6, -5*z + 25 = 5*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822203\/8 bigger than 227775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88\/5229 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 281300.12 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -23, -80, -149, -230?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3746 - 3733. Solve -a + 8 = 4*b + r, 0 = 5*a + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6 + 6 - 6*h. Let t(p) = -77*p**2 + 8*p - 4. Let s(b) = 531*b**2 - 54*b + 27. Let n(m) = -4*s(m) - 27*t(m). Give q(n(u)).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/1)\/(7 - 20317\/2904). What is the greatest common divisor of x and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 24 = 12*r. Suppose a = 5*s + 15, -2*a = -2*s + 1 - 7. Solve r*p - 11 - 1 = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819*g + 63 = 756*g. Which is the biggest value? (a) 4.5 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/840 + o**6\/40 - o**5\/15 + o**4\/8 + 23*o**3\/6 - 46*o**2. Let t(x) be the first derivative of i(x). Determine t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2204, -2909, -4176, -6005, -8396, -11349, -14864?\nAnswer: -18941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 8*f**2 - 587*f + 3625. Calculate l(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**3\/3 + o**2\/2 + 2*o. Let i be k(2). Solve -5*q = 5*n - i, 5*q + 2*n - 1 = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -462928070?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14965\/9 + -1659. Let t = y + -163\/36. Let c = -13.4 - -13. What is the biggest value in c, -11, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057001 is divided by 305.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2 + 5) + -2*2. Let g(n) be the first derivative of 5 + 3*n + 0*n**2 + 1\/4*n**4 + z*n**3. What is the derivative of g(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 6*t - 6. Let z be o(4). Suppose -v = -z - 7. Factor 10 + v*s**2 - 4 - 3 + 9*s + 3*s**3.\nAnswer: 3*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q - 0. Let j be (54\/q)\/(3\/6). Suppose -3*v + 0*v + w = -j, -v + 4 = -2*w. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*r - 7*q + 4*q + 32, 5*q = 2*r - 2*q + 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264377752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 95. What is l(23)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34136.8 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149137 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -132*j - 7767. Let o be d(-61). Solve -33 = -o*g + 274*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 97 (b) -778 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 1. Let y(k) = 18*k - 19. Calculate 6*t(z) - y(z).\nAnswer: -6*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*y + 32, -5*y + 4*b - 58 - 8 = 0. Let l(s) = -s**2 - 11*s + 1. Let h be l(y). Calculate the common denominator of 119\/10 and (h\/4)\/(20\/(-56)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 2642688 = 57*u - 119*u. What is the ten thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.007? (a) -0.3 (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109711 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/354120 and -145\/141648?\nAnswer: 708240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 5.3. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -43*k**2 + 16*k + 84*k**2 - 16*k. Let j(u) = 13*u. Calculate j(v(c)).\nAnswer: 533*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 + 0 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(6*k**2 - 5*k**2 - 5*k**2)*(2*k**2 + 0 + 0) + 15*k**4 - 22*k**4 - 9*k**4.\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**3 + 2*s**2)*(-3*s + s + 4*s) + (s**3 - s + s)*(4*s - 5*s + 0*s).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1, -86, 0.4, -0.5, -39?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q. Let o be p(-3). Suppose 5*i - a - o = 14, 0 = 2*i + 3*a - 7. Suppose 99 = -2*f + i*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 + -318.00000296. Round m to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.49 + 4.51. What is the fourth biggest value in 1, 2\/35, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 63.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 2, a: 10, c: 1}. Give prob of sequence aa.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 2052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22072 divided by -5518.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 380417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*r - 1 - 1, i = 5*r + 2. Suppose -5*h + 2*o + i*o = -162, -2*h + 54 = 2*o. Calculate the highest common divisor of 40 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 0. Let d = -16\/13 - -19\/26. Let c = 961.7 + -962. Sort d, w, c, -15 in decreasing order.\nAnswer: c, d, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 9139325.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:42 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:55 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1024503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -135817304.5 to the nearest 10000.\nAnswer: -135820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u**2 + 2950*u + 50. Let b(c) = -4*c**2 - 983*c - 15. Let p(s) = -10*b(s) - 3*i(s). Factor p(h).\nAnswer: h*(h + 980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -510 in descending order.\nAnswer: 3, 2, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4530 + -4529.7. Put s, -156, -5 in decreasing order.\nAnswer: s, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 + -458801480\nAnswer: -458801480.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 4403, 9912, 17625?\nAnswer: 27542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 5, -9, -27, -49, -75, -105?\n\"Answer: -2*f**2 - 4*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 154 - 44. Suppose 8*v = d - 6. Factor s**v + 3*s**3 - 4*s**2 + 3*s**2 - 3*s.\nAnswer: 3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 7*w + 26. Let h be d(11). Calculate the common denominator of (11\/(-6))\/(h\/16) and 14\/210*(-10)\/4.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(-1\/6)*a\/((a*(a\/a**(-8))\/a*a)\/a)*(a**(-1))**(-48))**(-7\/9))**(5\/11) assuming a is positive.\nAnswer: a**(-9065\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -280*r + 119. Let j(z) = -24*z + 366. Let d be j(15). Let a(t) = 14*t - 6. What is d*l(n) + 119*a(n)?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84372, 84373, 84376, 84381, 84388, 84397, 84408?\n\"Answer: j**2 - 2*j + 84373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54728, 109292, 163848, 218396, 272936, 327468?\n\"Answer: -4*l**2 + 54576*l + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvomvvvqvffvf. Give prob of picking 1 v and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -8*g - 105*g - 83984 + 81884 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**3\/5 + 4136*z**2 - 6200180*z + 2111625600 = 0?\nAnswer: 480, 2345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let q = 0 - i. Let d = 581 - 580. Sort q, d, 9 in descending order.\nAnswer: 9, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7225236 to two decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*h - 79 = 3*l + 328*h, -5*h - 73 = -43*l + 49*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -1. Suppose -11 = l*x - 95. Suppose -2*y + x + 2 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77622 and 1755627.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 - 0.4. Let f = 2 + k. Which is the closest to 1? (a) f (b) 2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(14*w - 13*w + 7*w)*(-538 + 533 - 5*w**3 + 3*w**3).\nAnswer: 64*w**4 + 160*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 797*m**2 + 509*m + 269. Let z(a) = 797*a**2 - 499*a - 271. Let o(p) = 3*g(p) + 2*z(p). Determine k so that o(k) = 0.\nAnswer: -1\/3, 1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4 + 88138*s - 3*s**2 - 88138*s + 0*s**2 + s**3. Let u(n) = 3*n**3 - 6*n**2 - 8. What is -7*b(v) + 3*u(v)?\nAnswer: 2*v**3 + 3*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**5\/20 - 13*p**4\/12 + 13*p**3\/6 - 5*p**2 + 4*p. Let l be b(12). Solve -3*y + 1 = -5*h, 5*y + 3*h = l*h - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4034511.\nAnswer: 3, 13, 34483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*t - 111*t + 0*t**3 - t**3 in the form u*t**2 + j + m*t**3 + p*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 > 11429\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.86294 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 - y + 1. Let c(a) = -145*a**2 - 6*a - 6. Let b(u) = -169*u**2 - 7*u - 7. Let f(m) = 6*b(m) - 7*c(m). Calculate f(q) + k(q).\nAnswer: 9*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 2*d - 13 = 9*h, h - 4*d + 9 = 0. Solve -h + 3 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/12*j**4 - 18 - 19\/2*j**2 - 3*j**3 - 6*j. Factor r(o).\nAnswer: (o - 19)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 6. What is the remainder when 10 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1519440, -2, -4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 v when four letters picked without replacement from vbbbvbbbvbbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 363964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09344 and 11.3.\nAnswer: 1.055872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -1*(2 - -2). Suppose 0 = -5*a - 3*c + 34, y = -5*c - 5. Suppose 0 = 5*o - o - a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 12)*(-41 + 8362\/185).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000488598462 rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 152 - 5 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 26. Which is the third smallest value? (a) 2 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 4\/4) + 3 - 8. Find the common denominator of 62\/(-20) - ((-2 - -12) + u) and -1\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -25)*(3 - (-338)\/(-6)). Suppose -3*w = 7*w + d. Let a = -107 - w. Solve 3*t = 3*j + 15, -a*t - 2*j + 2 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265.405km to micrometers.\nAnswer: 1265405000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/108 - o**3\/18 - o - 259. Factor b(z).\nAnswer: -z*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -12*d + 0*d**4 + 0*d**3 + 0 - 3\/5*d**5 + 13\/2*d**2. Differentiate z(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let n = -3.01 + 0.01. Is g bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1035 (base 6) to base 14.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.197214 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*1*sqrt(7)*2*-4)**2.\nAnswer: -7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -5, -189.8, 2.8, 4\/3?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39417 - 3*g - 38762 + 2*g to d + p*g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**3 + 47\/2*b**2 - 9 + 11\/3*b**4 - 5*b. Differentiate f(c) with respect to c.\nAnswer: 88*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a year in months?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - v - 1. Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m + 3*m)*(-3 + 1 + 1) + 3 + 11*m - 4 - m**2 - 10*m.\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 + 401. Let t = 15 + -12. Let k(c) = 40*c + t*c**2 - 20*c - 20*c. What is k(g(v))?\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*b = 4*b + 5938, 4*y - b - 11881 = 0. Suppose 6*r - y = -4*r. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/120 + a**5\/10 + a**4\/8 + a**3 + 4*a**2. Let g be w(-6). What is the remainder when 27 is divided by (g + 5)*(-2)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.69573 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 632762208439\/60192 - 115636404\/11. Let q = 3\/608 + t. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 14 = -v. Suppose 15 = 3*s + v*j, 0 = -4*j + 3*j + 2. Solve 7 = -5*o - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, 1 a, and 1 b when four letters picked without replacement from {b: 4, a: 1, f: 5, s: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from {m: 2, q: 2, k: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 143. Suppose m = 4*z + 3*w - 52, 0*w = w - 4. Calculate the highest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -41, -5, 49, 121, 211, 319?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -4 (b) 0.4 (c) -3\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t + 924 = 0, 2 = t + 4. Let i = l + -176. What is the least common multiple of i and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372 - -389. Let v(x) = 5*x**2 - x - 2. Let o(n) = -14*n**2 + 3*n + 6. What is f*v(g) + 6*o(g)?\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:56 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/15 + 14292*z**2\/5 - 3054002*z\/15 + 1978828\/5 = 0 for z.\nAnswer: -21509, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 5. Suppose 2*l - l = -5*l. Let i be r(l). Suppose 0*s = 4*f - 5*s + 12, -30 = -i*f - 5*s. Solve -n = -6 + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586060040.\nAnswer: 2, 5, 17, 861853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.039 - 0.061. Suppose 0 = -640*k - 63*k - 1336 - 70. What is the nearest to k in -4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 take away 65736965.3?\nAnswer: -65736965.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - -4654?\nAnswer: 462a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 8 = -k, -2 = 4*d + 1158*k - 1156*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101121210 + -1022?\nAnswer: -101200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32778010277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23417 - 23404. Calculate the remainder when (1*-2)\/(6\/(-339)) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(-3) - (-3 + 9)\/(-18). Sort 34, 3, f.\nAnswer: f, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Let d(g) = -g**3 + 0*g**m + 8*g + 0 + 4 - 4*g**2. Let k be d(-6). Solve -2*n = 4*a + 22, a + 0*a + 5*n = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -0.14808897?\nAnswer: -0.0370222425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 30 - 54 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6516 - 6511. Let p = 52 - 73. Which is the nearest to p? (a) f (b) 1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 0*m + 2*m + 0*m - 2*m + 4*m + (2*m - m - 4*m)*(0 + 3 - 5) + (2 + 0 + 0)*(m - 1 + 1).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28757767 is divided by 3685?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 12*q + 9. Let u be b(10). Let d = 54 + u. Suppose 4*z = 2*p + 2*p + 100, 109 = 5*z - p. Calculate the remainder when d is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vel when three letters picked without replacement from {k: 1, e: 2, i: 2, v: 2, l: 1, n: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598 divided by -104?\nAnswer: 799\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10684*x + 14963*x - 226787 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 111. Let a = -22.1 - q. What is the nearest to 0.1 in -35, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + ((-6*sqrt(720) + sqrt(720))*2 - sqrt(720)) + sqrt(720))**2.\nAnswer: 1440*sqrt(5) + 72036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -3*w. Let d = 28 - 28. What is the nearest to d in w, -1\/4, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from vxrrxxxaaxvsvax?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-45) + -6 + (-17)\/(-3). What is the nearest to 0 in -4, q, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 16*d + 30 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2840?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 45, -3*v + 33 = -29*y + 37 + 114 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -217cc2?\nAnswer: 217cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -55. Let y be (-8)\/(-5)*s\/10. Is 3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3)*(4 - 4 + q)*(-q**4 - 3*q**4 + 6*q**4).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Suppose 0*t - 29 = -3*t - 2*d, 3*t - 5*d = 1. Let y be (3\/t)\/(6\/4). Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - (-2 - -5 - 2)) + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306 - 569 - 129 - 124 - 717)*(4*n - 4*n + 3*n).\nAnswer: -5535*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 n when four letters picked without replacement from ffffffffffffnfnfnf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 4.91. Let a = -319.5 - -321.5. Sort 4\/7, q, a in descending order.\nAnswer: a, 4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 10*g - 7. Let i be z(11). Let x(h) = h - 3. Let d = -15 - -9. Let l(f) = f - 2. Calculate d*l(t) + i*x(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 8585?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.455 - -0.5?\nAnswer: 186.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185648334 by -3.\nAnswer: 61882778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4798 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46288 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3266002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*b + 428*b + 301855 = 2*c, -120771 = -2*b + 5*c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**3 - 9. Let w(i) = 4*i**2 + 5. Let a(v) = -5*v**2 - 6. Let c(o) = 5*a(o) + 6*w(o). Determine u(c(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x - 2*x)*(1 + 4 - 4 + (3 - 3 + 2)*(3 + 0 - 2) + 15 - 15 - 11).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27774*u + 4110564. Determine o(-148).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 252 = -10*z + 11*z, -3*z = -2*a - 789. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/57*(-24)\/(-152)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4*u + 18. Let r(z) = -z**2 + 5*z - 21. Let b(m) = 5*r(m) + 6*v(m). Suppose 4*a - 12 = -40. List the prime factors of b(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996\/(-27) + (338 - 301)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a - 3*a - a + 2*a + (2 - 3 + 3)*(-3 + 3 - 2*a) - 3*a - 3*a + 2*a)*(49 + 155*a - 153*a + 5).\nAnswer: -16*a**2 - 432*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/(-511)*(2 - 5\/(75\/23)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 74*v - 46. Determine s(23).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 18, -204.\nAnswer: -204, -40, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/(-891) + (35\/45 - 1)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnnnlnlnllnnn. Give prob of sequence nc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21515416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-1\/13))\/y)*y\/(y**(-3\/4)\/y))\/(y**0)**(-2\/19)*(y*(y**(-1\/3)*y)\/y*y*y*y**1*y)\/(y*(y\/((y*y**(1\/8))\/y))\/y*y*y*y**(-8)) assuming y is positive.\nAnswer: y**(4249\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -4) + 1 + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*a = 2*a - 10, -3 = 3*a. Let h(i) be the first derivative of -n*i**3 - 7 - 4*i**3 + 7*i**3 + 3*i**3. Let v(d) = -2*d**2. Calculate v(h(f)).\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40660231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (8 + -8)\/(6\/(-3)). Put -1.2, 2\/13, p in ascending order.\nAnswer: p, -1.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 11*b + 41. What is the remainder when 878 is divided by z(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 112 + ((-8)\/(-20))\/((-3)\/15). Let u = h - 125. Let z = u - -23. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30561459 rounded to the nearest 10000?\nAnswer: -30560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 310, 613, 916, 1219, 1522, 1825?\n\"Answer: 303*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 299*c + 301*c - c**3 + 2*c**3 in the form g*c**2 + s*c + v + n*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*r = -8, -3*h + r = 2*h - 17. Calculate the smallest common multiple of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7732 + -37?\nAnswer: -7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/9, 2\/7, -43?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 9*p**2 + 5*p - 2. Let t be q(-10). Suppose -216 - t = -4*u. Suppose -38 = -4*z + u. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 3.6. Which is the nearest to 0? (a) 1\/8 (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 + 1 = 0. Suppose 52 + b = 2*m. Let f(z) = -z**3 - 13*z**2 - 19*z + 36. Let i be f(-11). What is the highest common divisor of m and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2343\/4 - -2337\/4. Sort t, 4, 10, 5.\nAnswer: t, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 87?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80572166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {n: 7, i: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 + 44*l**3 + 906*l**2 + 3564*l + 3888 = 0.\nAnswer: -9, -3, -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 18 = -483. Are 30 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0049973 - 53.9919027. Let j = -37 + 91. Let q = j + u. What is q rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:55 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101179 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 571725 (base 12) in base 9?\nAnswer: 2551512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(i - 7*i - 4*i)*(2 - 4 + 3)*((0*i - 2*i**2 + 0*i)*(0 - 5 + 3) + 5*i**2 - 4 + 2 + 0).\nAnswer: 180*i**3 - 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 625332*l\/11 + 48880013778\/11.\nAnswer: 2*(l + 156333)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 5*y**2 - y + 1. Let i(w) = 4*w**2 - 1 - 185*w**3 - 180*w**3 + 359*w**3. Determine -5*i(a) - 4*t(a).\nAnswer: 2*a**3 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from izixiqizxxxixiqvii.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {h: 2, a: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from mmmryrqrmqrqrryrhqmm?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*z + 68, 0 = 5*z - 5*k - 104 + 34. Let c = 65 - 22. Suppose c = 4*j + 15. Solve s + 4*y = -z, -s - 4*y = -j*y - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1283, -6084, -14091, -25310, -39747, -57408, -78299, -102426?\nAnswer: -129795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 9*m**2 + 20*m + 12. Let y be x(-7). Suppose 13*b - y = -45. Is 40 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = 0, 0 = 5*t + 4*x - 1589 - 14185. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 67. Let f = o + 56. Suppose -234 = -f*v + v. Calculate the highest common divisor of v and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 3, i: 2, h: 1}. Give prob of sequence ihmi.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:47 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**21*p**(-26)*(p**13)**26 assuming p is positive.\nAnswer: p**333","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 393 - 345. What is the highest common factor of 64 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32186 - -33754. Which is greater: c or 0.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Suppose 3*t - 4*f + 11 = 0, -5*f - 3 = t - 12. Let q be (-1)\/4 - t\/4. Solve 0*g + g - v = q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 4*s - 8. Let g be j(6). Suppose -g = -4*l - 16. Let o be ((-2)\/(-4))\/(l\/(-72)). Calculate the greatest common factor of 84 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3996 + 4408. What is the remainder when i is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -28*s - 517. Give v(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -0.0462?\nAnswer: 0.9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(9\/39)*-1. Let z(n) = -11*n**3 + 13*n**2 + 10*n - 13. Let o = -628 + 634. Let b(q) = 5*q**3 - 6*q**2 - 5*q + 6. Determine g*b(x) + o*z(x).\nAnswer: -x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2236 = -4*b - 9*v + 12*v, -3*b + 1680 = -3*v. 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 next in -39747487, -39747489, -39747491, -39747493, -39747495, -39747497?\nAnswer: -39747499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**4 - 4478*d**3 + 5386*d**2 - 898*d = 0. What is d?\nAnswer: -449, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) + 92\/(-21). Which is smaller: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1767*r + 14887 = -4634 - 29955 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p*p**4*p*((p\/p**0)\/p)**(-36))**(-25))**(1\/18) assuming p is positive.\nAnswer: p**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*z - 208, 0*z - 8 = 2*z. Suppose 0 = -9*y + h + 102. Calculate the greatest common divisor of 44 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 16134675?\nAnswer: 32269350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -5, 0, -7, 458, -1\/2.\nAnswer: -7, -5, -1\/2, -1\/8, 0, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414531936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/21, -0.02, -0.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2712*c = -451*c + 54264 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/790 and -111\/307310.\nAnswer: 307310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:09 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9\/(-12) + (-35)\/28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**7\/2940 - 23*c**6\/1260 + 43*c**5\/420 - c**4\/4 + c**3 + 26*c + 3. Let o(b) be the third derivative of d(b). Factor o(n).\nAnswer: 2*(n - 21)*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323.3 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 - 3*z. Let f(a) = -2*a**3 + 7*a**2 - 7*a. Suppose 5*g - 25 = 10. Calculate g*o(p) - 3*f(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1652*o**3 - 972*o.\nAnswer: -9912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 975, 903, 831, 759?\n\"Answer: -72*w + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*n**5 + 76*n**2?\nAnswer: -9900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1324000 (base 5) to base 11\nAnswer: -19109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -24. Suppose 5*h = r*y + 71, 37 = 5*h + 2*y - 22. Calculate the highest common factor of 117 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-6) + 2)\/((-15)\/(-210)). Solve q*x - 12*x = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16556543 to the nearest integer?\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 50*j\/9 - 12.\nAnswer: 2*(j - 2)*(j + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 6923.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Is r > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/20*g**5 + 1\/2*g**2 - g**3 - 2*g + 5\/12*g**4 + 0. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*b**2 - 112*b**4 - 172*b**2)*(8*b - b - 2*b)*(2 - 6 + 2).\nAnswer: 1120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 2*p + 6*p**2 + p**4 + 2*p**2 + 2*p**3 + 1 - 9*p**2 to the form v*p**3 + i*p + d*p**4 + u + q*p**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 4*s + 6. Let x be t(-5). Let a be 22\/(2 + (1 - x)). Calculate the greatest common factor of a and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 0.1 (c) 8 (d) -0.24 (e) -202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - a + 6. Let w be v(3). Let i = -34 - w. Sort 4, -2, i in ascending order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -5. Let m = 840 + -976. Let x be 290\/m + (-1)\/68*8. Is x bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 6:16 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g. Suppose 0*k - k = -1. Let l be k - (0 + 3) - 0. Let f be (-2)\/(6\/(-5 - l)). Give q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 8*u, 0 = 3*p + 22*u - 79 + 205 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182.92 + 182.0619. Let p = 0.0419 - w. Which is the fourth biggest value? (a) -11 (b) p (c) -0.2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380 divided by 5?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2336*f*j**2 - 4258*j**2 wrt f?\nAnswer: 2336*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {x: 10, w: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = -7. Let t = u + -9\/4. Let m = 0.3 - -0.1. Put 2, m, t in increasing order.\nAnswer: t, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 2*t**3 + 8*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5334.\nAnswer: 5\/5334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 6*t + 6. Suppose 0 = -5*p, -5*z - 5 = -6*p + 2*p. Let m(d) = 12*d - 1. Let n be m(z). Let a = -8 - n. Determine v(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -14. Suppose -5 - d = -3*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 0 = -5*v - 5*z + 425, -5*v + 541 = -3*z + 92. Let y = 1235\/7 - 24623\/140. Find the common denominator of y and (-4)\/v*(-2 + 111).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjbu when four letters picked without replacement from bbujjjjjzjubb?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016479 to 7 decimal places.\nAnswer: -0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {c: 4, g: 2, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 73007*j - 11. Let d(y) = -24336*y + 4. Let q(c) = 8*d(c) + 3*r(c). Let t be q(-3). What is t rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42768 divided by -5?\nAnswer: 42768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-180)\/120)\/(6\/(-20972)) + (0 - 0). What is the highest common factor of 214 and z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.9? (a) -5 (b) -107 (c) -1 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 83, -1, 6, 19, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o + 1. Let w be p(0). Find the first derivative of 0*z + w - z - 5 wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 6*o**2 + 10*o - 8. Let i be (-6)\/((6\/8)\/1). Let m be j(i). Let v be (-12)\/(-18)*6\/m. Which is the biggest value? (a) v (b) -0.2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*b - 9*b - 13*b - 178 - 19*b to m + p*b and give m.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19084368.\nAnswer: 2, 3, 397591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 11993625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5)*h**(-3))\/(h**(-4)\/(h\/(h**(3\/5)\/h))))\/((h**0\/h)\/(h\/(h**(-3)\/h))*h*h\/h**(2\/7)*h\/(h\/(h**(1\/2)*h*h*h*h))) assuming h is positive.\nAnswer: h**(167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17349 = -2*y + 627835, -3*y = 4*s - 915717. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {i: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -19)*149\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 39*o**2 + 26*o - 123. What are the prime factors of g(36)?\nAnswer: 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k = 162*k - 2140 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*r**5 - 23*r**4 - r**2 + 22*r - 246.\nAnswer: 800*r**3 - 276*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5616 and 1776.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + 20?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -75. Let b be w - (5 + -3 + 3 + -3). Suppose 1\/3*j**3 + 0*j + b - 1\/3*j**5 - 2\/3*j**2 + 2\/3*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2065058, 2\/3, 4?\nAnswer: -0.2065058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/20*3\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/10*(95 - 80). Solve 4*t = -g + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13 = -3*f, -3*l + 2*l + 14 = 5*f. Suppose 4*d + 45 = 5*v, 32*d + v = 31*d. Let g = 0 + 5. Sort g, d, l in decreasing order.\nAnswer: g, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8467, 8475, 8483, 8491?\nAnswer: 8499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7616 - 2672. Let b be 5\/2*(2 + k\/60). Are b and 212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4)\/((-2)\/68). What is the units digit of 2\/(-3) + v\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -5767.\nAnswer: -5768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 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: Put -3\/37, -5, 11\/52, -4\/7, 3\/2 in descending order.\nAnswer: 3\/2, 11\/52, -3\/37, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:55 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 11841?\nAnswer: 11845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5712 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/15)\/(3\/(-1143)). Suppose g + l - m - 15 = 0, -l = -4. Calculate the remainder when g is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and 1.1?\nAnswer: -81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g. Suppose 3*w + g*w - 7 = -l, w - 19 = 3*l. What is the closest to 0 in -2, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -36\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/3 - 4*d. Let n(c) = -3*c. Calculate n(s(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 - 53*g + 170. Determine p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4\/5, 15\/7, 1064 in decreasing order.\nAnswer: 1064, 15\/7, 4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7161223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123541760311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*t - 27*t - 34*t + 2448*t**2.\nAnswer: 2448*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 4214*b + 6186*b + 2655*b + 29281*b.\nAnswer: b**2 + 42336*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 19. Let j = r - 15. Let q = 17 - j. What is the smallest common multiple of 8 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 3\/4, 5, 1\/4 in decreasing order.\nAnswer: 5, 3\/4, 1\/4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 9*k + 11. Which is smaller: -2\/67 or k?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1837 in 0, 9\/7, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/270 - i**4\/9 + 4*i**3\/3 - 11*i**2\/2 + 8*i. Let k(s) be the first derivative of b(s). Factor k(t).\nAnswer: 2*(t - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 156.09594 days?\nAnswer: 22.29942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 4 (c) 4\/7 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -7*j - 2*p - 5, -4*p + 17 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704045?\nAnswer: 3, 5, 313603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 680033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12041831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b*b**(-2\/7)*b*b)**(20\/9)\/(b**(-5)*b*b*b**(3\/7)*b*b*(b**(-1))**(-9\/2)) assuming b is positive.\nAnswer: b**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0873 - -2.0447. Let w = t + 0.868. Sort -1, w, 1, -0.05 in ascending order.\nAnswer: -1, -0.05, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002100831 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1763 and 40385.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -96557\/10 greater than -9657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13076368 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 - z - 2. Suppose -3*d + 27 = 5*q - 8, -4 = 4*q - 4*d. Let s be x(q). What is the third derivative of -2 + 2 + 4*l**2 + s*l**4 - 62*l**4 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 7 - 31 = 0. Suppose 9 = -y*h - 5*h. What is the closest to h in -1\/3, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 2. Let w(p) = 5*p + 4 - 5 + 3 + 0. Let u = -18 - -21. Determine u*z(b) + 2*w(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4078*a**3*t**3 - 2*a**3*t**2 + 62*a**3 + 2*a*t - 9*t**2 + 1355*t wrt t.\nAnswer: 24468*a**3*t - 4*a**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k + 164963 - 162645 = 0 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m**2 + 8*m - 8*m - 45*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 148. Calculate the common denominator of 26\/(((-12)\/r)\/(8\/(-60))) and ((-52)\/(-1170))\/(4\/(-339)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/10, -24, 204\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6635.95ml in litres?\nAnswer: 6.63595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*d + 7 - 7)*(4 - 8 + 1 - 36 - 21).\nAnswer: -1740*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:03 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1576034610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.097 + -0.597. Which is the closest to -5? (a) -4 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089539 rounded to 6 decimal places?\nAnswer: 0.000895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817127498 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (900\/66)\/(-5) - (-10)\/((-10)\/(-3)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -35111145?\nAnswer: -35111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22. Let z be (25\/20)\/(u\/(-4)). Let b(o) = 3 - z - 8*o**2 + o**3 - 102*o + 110*o + 0*o**3. Calculate b(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 - 159 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*n = 102, 0 = f - 2*n - 24 - 10. Suppose 0 = -f*o + 40*o + 30. Is o greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205 - -773?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h + 3. Let w be t(7). Suppose 0 = 6*p - 2*p - w. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/17 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -0.31, -721, 0.05?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 3*c + 3. Suppose 3*y = -2*y. Suppose -t + 2*i - 1 = 0, 8 = 4*i - y. Let w(o) = -o**2 - 4*o + 4. Determine t*w(v) - 4*k(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 514710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277 is divided by 120?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.28 (c) -3\/2 (d) 19 (e) 2 (f) 354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -180, 44.\nAnswer: -180, 39, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 193. Let s = 139 - u. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*m**3*n**3 + 8*m**3*n**2 - 16385*m**3*n - 2*m**2 - 16935*n**3 wrt n?\nAnswer: 180*m**3 - 101610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -11. Let h = 0.2 + -0.18. Let v = h + -2.02. Which is the second smallest value? (a) p (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4672, 2 in increasing order.\nAnswer: -4672, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1230543, -19, -5 in increasing order.\nAnswer: -1230543, -19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, -17, -64, -137, -242?\n\"Answer: -j**3 - 4*j**2 - 8*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38244550 by 50.\nAnswer: 764891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 2*g**4\/3 + 5*g**3\/6 - 12*g**2. Let p be v(16). Suppose 128 = -p*j + 348. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158 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: Let u = -6 + 8. Find the third derivative of -2*o**5 - o**2 - o**5 - o**u wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1410*n**4 + 6263*n**3 + 2*n**2 + 79255718 wrt n?\nAnswer: 5640*n**3 + 18789*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:14 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 6 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1271 - -1272. Sort 6, -2, -8, b in descending order.\nAnswer: 6, b, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (65880\/420)\/((-1)\/(-7)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3089 - 3087. Suppose s + 9 = 3*c, -6 + 0 = -2*c + 4*s. Solve m = -c*m + t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 5. Let u be g(-7). Let t be 1 + u + 53 - -3. Calculate the greatest common factor of t and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.114183257 and 161?\nAnswer: 158.885816743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4 + 0 + 10 - 8831*b.\nAnswer: -8831*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(44)*-3)\/sqrt(4).\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) + -1*sqrt(77) + sqrt(77) + sqrt(77)))\/sqrt(7) + (-1 + sqrt(99) + sqrt(99))*-5.\nAnswer: -20*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7587165 is divided by 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -78371800 rounded to the nearest 100000?\nAnswer: -78400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14708576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (30 + -46)) + (-2 - 89)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10 = -20. Solve -y*d = -0 + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841894.6 hours in microseconds?\nAnswer: 3030820560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 15 = 5*k - 12*r, 0 = -4*k + 4*r - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8079300 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28965 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238648 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-50)\/(-15))\/(20\/12). Let l(w) be the second derivative of -1\/30*w**6 - 7*w + 1\/10*w**5 + 0 - 1\/12*w**4 + 0*w**3 + 0*w**a. Factor l(v).\nAnswer: -v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.03. Let s = j + -0.035. Let f = s + -0.235. Which is the biggest value? (a) f (b) -2 (c) 3\/8 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 9837936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2\/3, -8, 8.1 in decreasing order.\nAnswer: 8.1, 2\/3, 3\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42864?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*x**2 - 29*x**2 + 13*x**3 + (-3*x**2 + 2 - 2)*(-5*x + 4*x + 0*x).\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12742.19 meters?\nAnswer: 12742190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134137820 divided by 13413782.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x + 0*x + 2*x**2 - 7*x - 3*x**2 - 1. What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 698 - 2784 - 2*f**2 + 691 + 703 + 696.\nAnswer: -2*f**2 - 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/13 + 1*-2)\/(-1). Let g(r) be the first derivative of 0*r**2 - 3\/4*r**4 + 1 + f*r**3 + r. Differentiate g(x) with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667264 and 109568?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 + -8. Which is smaller: 0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -126*s**2 + 17*s - 1. Let o(n) = -10*n. What is o(t(l))?\nAnswer: 1260*l**2 - 170*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 837359953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 401*n**2 - 201608*n - 17899188.\nAnswer: (n - 717)*(n + 158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + ((-6274)\/(-9))\/(-2). Let q = g + 352. Factor 2\/9*k**2 + q*k**3 + 0 + 0*k + 2\/9*k**4.\nAnswer: 2*k**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6*m**(-3\/16)*m*m**(-12)*m**(-2\/5) assuming m is positive.\nAnswer: m**(-447\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12572899 + 4.\nAnswer: 12572903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 127 + 155 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let i be x + 1 + (-12)\/16. Let w = -4 - -5. Which is the second biggest value? (a) -0.2 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 15. Let u be (-22)\/5 - 10\/(-25). Let w be k(u). Find the first derivative of 1 + 1 - 9*a + 2 - w wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 4*u - 4*u + u - 2*u - u**2. Suppose 5*i - 1 = 3*j, 0 = -3*i + j - 2 + 5. Let m be 2*1\/(-4)*i. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**10\/15120 - b**9\/7560 - b**4\/4 + 3*b. Let f(c) be the third derivative of p(c). Suppose f(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3013 divided by 8\nAnswer: 3013\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + (-4)\/6. Let s = -1 - -0.2. Let j = 0.4 + s. Which is the biggest value? (a) -2\/9 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -5 (b) 11 (c) -10 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1409694 and 30.\nAnswer: 7048470","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1\/2)\/(9\/90). Suppose -s = 0, c*s + 6 - 2 = d. What is the units digit of (-4 - d)*(-86)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15214013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + x + x**2 + 3*x - 4*x - 7. Suppose -28 = 5*z - 8. Let r be (z\/6)\/(6\/(-45)). Calculate q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 294271 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4469.098 + -78338596?\nAnswer: -78334126.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**3*d)**(-6) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 144 + 33 = 0. Suppose -3*h - 450 = -6*h. What is the remainder when l is divided by (h\/20)\/(6\/16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(2\/7))\/d)\/d)\/d**(1\/6))**13 assuming d is positive.\nAnswer: d**(-793\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 56126.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -12469.\nAnswer: -249.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:36 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 276420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -229*r**3*z**3 + 17*r**2*z + 2*z**3 + 9 wrt r?\nAnswer: -1374*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 655728*b**2 + 15162*b.\nAnswer: 1311456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d**2 - 2*d**2 + 6*d**2)*(0*d + 8 + 0*d - d)*(-1 - 3 + 1) in the form v + l*d + q*d**2 + i*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4))\/sqrt(2)*-1 + (1*sqrt(8) + (sqrt(12) + sqrt(12)*-2)\/sqrt(6))**2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32344)\/933*(-48)\/52?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q + 6. Let x be r(-6). Let k be (8\/10)\/((-12)\/x). Suppose -k*w + 69 = w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 + 4 - 1 - w + 7 - 9 to the form x*w + i + q*w**2 + h*w**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2432)*-4)\/(sqrt(200)*5)*-5.\nAnswer: 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 - 456*s - 3233. What is x(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(84\/80 - (-2)\/(-2)). Let r = o + -18. Suppose p = -r*l - 2*p - 196, 4*p = 3*l + 328. What is l rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppwpppppp. Give prob of sequence wp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 730\/11 - 3353\/55. Is a equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - 2*g)*(0*g + 3*g - g) + 1838*g**2 - 133*g**2 + 2080*g**2 + 3117*g**2 + 1758*g**2 in the form b*g**2 + m*g + y and give b.\nAnswer: 8656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -4. Let k = y + -20. Let n = 22 - k. Solve -m + 3*q = -0*m + 14, -4*q - n = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 120*y + 45. Suppose 2*z - h = -8, -3*z = -0*z + 3*h + 12. Let n(t) = -11*t - 4. Give z*s(q) - 45*n(q).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*p + 275 = 0, -p + 0*p = -5*g + 260. Let x = g + -37. Let w be ((-20)\/6 + 2)\/x. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c**3 - c - c**2)*(0*c - c + 2*c + (-3 - 3 + 7)*(-4*c + 0*c + 2*c) + 9*c + 10*c - 5*c + (1 + 5 - 3)*(c - 2*c - 2*c)).\nAnswer: -8*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*-2*15\/18*3. Let q = 47 + l. Let v(h) = -91*h**3 + 17*h**2 - 17*h + 4. Let m be v(q). What is m rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3\/7 + 184*n**2\/7 + 6364*n\/7 - 295840\/7 = 0. Calculate n.\nAnswer: -40, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 430070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(3\/(-3) - 0). Sort g, 0, 9 in increasing order.\nAnswer: g, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891)*6)**2 + (sqrt(275) - (sqrt(275) + -2)) + -1.\nAnswer: 32077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 1098, 1651, 2206, 2763, 3322, 3883?\nAnswer: 4446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 23.5, 5, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275740 to the power of 1\/2, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 523163 and 62911?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:05 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32945.13 milligrams in kilograms?\nAnswer: 0.03294513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 - 4 = 0. Suppose -18 = -3*b + 48. Suppose 3*s + b = 5*s. Calculate the remainder when s is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 14*z - 35. Let l be k(11). Let x(y) = -y. Let w(o) = -2*o. Let t(j) = l*w(j) + 3*x(j). Let g(u) = -6*u**2. Give t(g(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -190, -766, -1726, -3070, -4798, -6910?\n\"Answer: -192*t**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678647.\nAnswer: 678647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 12*m - 14250. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 20434254?\nAnswer: -20434303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -94 + 26 + -16?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and 0.524196 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in -4, 1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:34 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**7\/840 - h**4\/8 - 2*h**3\/3 - 1. Let k(t) be the third derivative of j(t). What is the derivative of k(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 + 242*c**4 + 9382*c**3 + 102478*c**2 - 530400*c + 571896 = 0.\nAnswer: -47, -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3387 - 3393. What is the nearest to 0.1 in w, 0.1, -0.24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 95 (c) -0.64 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (34 - 28) + -1 + 5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a - 3*a)*(-943 + 943 - 70*a).\nAnswer: 280*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3158883 and 73\/87087.\nAnswer: 34747713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1055 + -2a?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -20*c. Let q(b) = 26*b. What is m(q(r))?\nAnswer: -520*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 times 551593?\nAnswer: 141759401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/3 (b) 0.4 (c) -365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-1 - 7 + 3)*(-131*i - 153*i + 254*i).\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/7113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 43*a - 40 = -6*w - 45*a, -2*a = -4*w - 72 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.9736 less than -0.07?\nAnswer: -21.0436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 10)\/(5*(-9)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250826?\nAnswer: 2, 83, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/2)\/(1336\/4008).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:01 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014702 to 5 dps.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.0729.\nAnswer: 0.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10114601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1429463 and -12\/49.\nAnswer: 10006241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11467.67 + 19451. Let h = 8012.3299988 - k. Let b = 29 - h. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100.12 - -105. Let v = -0.12 - t. Let w = 0 - v. What is the nearest to 0 in 1, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.439598 millennia to years.\nAnswer: 2439.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4\/5 + 5165*v**3 - 238622*v**2\/5 + 535151*v\/5 - 64470 = 0.\nAnswer: 1, 2, 25\/4, 6447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i + 64. Let c = i - -21. Let o(z) = 8*z + 4. Calculate the remainder when o(c) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 26022?\nAnswer: -2601a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 28*p + 7. Let b be o(-14). Let v(y) = -b + y**2 + 9 + 6*y - 7. Determine v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-2))\/(1\/(-2)). Suppose 3*n - 8 = 1. Suppose 3*y = -5*v + 19, 2*v - n = -a*y + 3. Solve -v*u - 1 - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10329 + -5520. List the prime factors of x.\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvv when three letters picked without replacement from hhrhpvrhvhphhhhhhvrp?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 705\/6 - (-1)\/2. Suppose 0 = 4*l - a + 10. Let t = l - 16. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 25*o**2 + 3531 - 3531 + 2*o**2 - o + o + (-2*o + 3 - 3)*(-3*o - o + 2*o) in the form t*o + d + j*o**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 455, 921, 1399, 1895, 2415?\n\"Answer: d**3 + 459*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -12 (b) -4 (c) -0.564 (d) -67 (e) 2\/3 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + (-44)\/(-7). Suppose 0 = -8*v + 6*v + 72. Let f = -21 + v. What is the highest common factor of f and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 53*w + 161 - 250, 12 = 3*v - 2*w - 26 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-4)*(4 + -2). Let t be 202*a\/(-18)*-60. Round t to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 7*i + 71291. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2414117 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36228471, -72456890, -108685307, -144913722, -181142135, -217370546?\n\"Answer: t**2 - 36228422*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2 = h, -331 = -5*h - 5*v - 321 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120008362783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 381 + 173*c + 189*c - 373*c + 4 - 4 + c + (-4 + 5 - 3)*(2*c + 0*c - 3*c) - c + c + c as a + g*c and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4271*k**3 - 12*k**2 - 8*k - 28. Let w(a) = 8543*a**3 - 27*a**2 - 16*a - 55. Let n(l) = 4*w(l) - 9*x(l). What is the second derivative of n(v) wrt v?\nAnswer: -25602*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -699.873875 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 6. Suppose 5*a = 9*a + 24. What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3*z**2\/2 + 87*z + 25. Let m be i(-21). Calculate the highest common divisor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wceccheycec. What is prob of sequence cec?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -163, -165, -167, -169?\n\"Answer: -2*z - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 7*q**2 + 3*q**2 - 122*q + 3*q**2 + 4*q**2.\nAnswer: 3*q**2 - 122*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 22 - 3*u**3 + 12 + 2442*u**3.\nAnswer: 2439*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4\/(-2) - (-86)\/18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*g**3*p**3*r**2 + g**3*p**3 - 7*g**2*p**3*r - g**2*p**2*r**2 + g**2*r**2 - p*r**2 wrt g?\nAnswer: -120*p**3*r**2 + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59659689059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 412*u**2 - 3378*u**2 - 3623*u**2 - 1220*u**2 to o*u + t + r*u**2 and give r.\nAnswer: -7809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91915912*d**3 - 144844314*d.\nAnswer: -551495472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 0.01763 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1 - 0)*6\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667887 is divided by 144.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 7\/((-42)\/(-120)) + -2.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(23\/3)*l)\/(l*l**46)*l**35\/(l*l*(l*l\/l**(1\/40))\/l) assuming l is positive.\nAnswer: l**(-757\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52457818\/645 - 81330. Calculate the common denominator of 71\/45 and d.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (481 + 386 - p - 492)*(-10 + 0 - 9)*(0*p - 3*p + 5*p).\nAnswer: 38*p**2 - 14250*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205 and 1750.\nAnswer: 71750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(8\/20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 29 + 4 + (-13 - 0 - -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490254217 to the power of 1\/2, to the nearest integer?\nAnswer: 22142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2025 and 82560?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -60. Let w be (20\/m)\/((-8)\/(-196)). Let h = w + 5. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2045*w**2 + 4085*w**2 + 15*w - 36 - 2041*w**2.\nAnswer: -(w - 12)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*c + 1 + 3, 2*g + 12 = 5*c. Suppose 0 = -5*p - 15, g*z + 0*p - 478 = -2*p. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*n = -555021 + 552018 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4688\/11 + 426. Which is the third smallest value? (a) v (b) 1 (c) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10378 = -r, -5*k + 26*r = 28*r - 25947. Suppose -3551 = -6*z + k. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 5185f?\nAnswer: 5183c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 9 - 13, 0 = g - 3*h - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(14*(-418)\/399)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*p - 41383, -b + 17450 = -3*p - 23930. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - r**3 + 15964*r + 15954*r - 3*r**3 + 292*r**2 - 31916*r to the form f*r**3 + o + n*r**2 + y*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s = -73*s - m + 3, 2*m = s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2053440 or -23\/3?\nAnswer: 2053440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 3}. Give prob of sequence ggg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*n - k + 33, k + 63 = 4*n. Suppose 2*m - n = -m. Let y(v) be the second derivative of -v**3\/6 + 2*v. What is y(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/26229258 and 25\/46494?\nAnswer: 183604806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475 - 240. Let z = h + -251. Which is the third smallest value? (a) 5 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1198674520, -1198674519, -1198674518, -1198674517?\n\"Answer: i - 1198674521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 551, 2150, 4815, 8546, 13343, 19206, 26135?\n\"Answer: 533*f**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85826736?\nAnswer: 2, 3, 198673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6 + 3*b**2 + 2 - 3*b + 2*b. Let u be 5 + -1 - (-2)\/(-2). Let y be g(u). Solve 0 = -6*p + p - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/826525 and -19\/165305.\nAnswer: 826525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -97*a**3\/2 - 9*a**2 + a + 14. List the prime factors of d(-1).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -94\nAnswer: -61\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**3 - 34*k**3 - 119*k**2 + 117*k**2 + 112*k**3 - 40*k**3.\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - 2\/2*-3. Let j be ((-156)\/(-20))\/(t\/(-10)). Let l = 52 - j. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -30*s**2 + 321*s + 36. Let k(x) = 61*x**2 - 643*x - 60. Let z(m) = 3*k(m) + 5*l(m). What is the second derivative of z(q) wrt q?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 8*y + 6*y. Is -20\/127 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*g = 9*l - 7312, l - 1475 = 5*g. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -246*-4*2\/12. Suppose 5*c = 3*c + h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147.2328 - -1.2328. What is the smallest value in -4, 2.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/24 + 2*r**3 - 15*r**2 - 32*r. Let m be (-6 - -2)\/(2\/(-4)). What is the tens digit of j(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b + 10 - 14*b - 2*b**2 as y*b + f + a*b**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4468909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(-2\/9))\/o*o)\/(o\/(o\/(o\/(o**(-2\/7)\/o))))*o**7\/(((o*(o\/((o*o\/(o*(o*o**(-2\/3))\/o)*o)\/o))\/o)\/o)\/o))**29)**(-5\/11) assuming o is positive.\nAnswer: o**(-78590\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 + 16\/(-20)). Which is the closest to 0.3? (a) -0.1 (b) -15\/14 (c) 2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -3*a - 30, -2*a - 213*j = -214*j + 20 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*a - 3*f + 3303, a + 3*f = 1731. Calculate the greatest common divisor of a and 970.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15885)\/60 + (3 - 1)\/(-8). Let v = u - -274. What is the greatest common factor of 99 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6277\/84 - 512\/7. Let y(l) be the second derivative of 0*l**2 - 13\/6*l**3 - x*l**4 + 0 + 10*l. What is the second derivative of y(b) wrt b?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7475885?\nAnswer: 5, 1495177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 l when three letters picked without replacement from {l: 1, p: 1, y: 2, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 5*r + 2*b + 424, -5*r - b - 716 = 0. Let p = -129 - r. Solve -5*d = f + 3*f + p, -3*d + 13 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s*((s*s**(1\/4))\/s)\/s)\/s))\/s)\/s*s)**(-2\/11))**(-8\/3)*(s**(-1\/3))**(18\/13)*(s*s**(2\/5)*s)**(2\/9) assuming s is positive.\nAnswer: s**(934\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -433, -0.078, 193?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (49\/(-28) - -1)*2 - (-220)\/136. What is the nearest to -44 in -4, -2\/7, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(1008) + 2) + -4).\nAnswer: 8 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:35 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248497?\nAnswer: 43, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*b + (-1 + 0 - 1)*(3*b - 5*b + b) + 0*b + 0*b + b)*(6 + 5*b**2 - 6)*(0*b**2 + b**2 + b**2).\nAnswer: 50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/9 + -2)\/((-8)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from brbxasbxmbrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11226.\nAnswer: 2, 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 + 0 + 0)*(30*m - 16*m - 18*m - 21) to the form g*m + w*m**4 + v*m**2 + p*m**3 + a and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.8 - 41. Let d = k - 0.8. Let q = -3378 - -23642\/7. What is the fourth biggest value in d, 4, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2922748, 2922736, 2922702, 2922634, 2922520, 2922348, 2922106, 2921782?\n\"Answer: -2*w**3 + w**2 - w + 2922750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**26*a*a*a*a**21*(a**19\/a)\/a**(1\/2) assuming a is positive.\nAnswer: a**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -705 + 700. Which is the biggest value? (a) 445 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/124265151 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/120*12\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -965+-5\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2\/2 - 4*w - 3. Suppose 4*z - 8 = 3*i, -3*z + 2 = -2*z - 2*i. Let q(x) = 0 - x - z + 7. Calculate 5*o(n) + 4*q(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.8. Let i = 22.13 - -1.77. Let m = i - 24. What is the second biggest value in -0.2, j, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 292*p - 17*p + 64.\nAnswer: -309*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964174980 a multiple of 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 4 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2\/11, -6, -168 in increasing order.\nAnswer: -168, -20, -6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 + 824352*i + 283148424960.\nAnswer: 3*(i + 686960)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.65753 nanograms in micrograms?\nAnswer: 0.05265753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*d = 612*d + 4. Determine i so that 1\/4*i + 1\/4*i**3 + 0 + 1\/2*i**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280707?\nAnswer: 3, 7, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2 + 54084*d + 243756588 = 0.\nAnswer: -9014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 158, 1, -15.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*f - 5*t, -14 + 2 = -2*t. Put 1, f, 3, -1, 12 in ascending order.\nAnswer: f, -1, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 24) + (5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1018185 and 7455?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -981629 or -982853?\nAnswer: -982853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:35 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-48)*-9*(-189)\/(-84)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-9))\/((-1)\/27). Let v = c - 34. Is (0 + (-223)\/v)*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x**2 + 1710*x - 17967. What is m(131)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.4, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1084 - 527. Let a(f) = 56*f**2 + 4*f + 8. Let j be a(-2). Let o = d - j. Calculate the highest common factor of 37 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 5*i**2 - 2*i + 9 - 5*i**2 + 14*i**3 to k + x*i + s*i**3 + z*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 5)*(-5*x + x + 3*x) + (2 + 1 - 2)*(2*x - 4*x - 2*x) + 0*x - 2*x + x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p - 2. Let m be i(3). What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 3*v**3 - 17*v**2 + 8*v + 6*v**2 - 2*v**4 - 7*v**2 + 15*v**3 in the form p*v**3 + r*v**4 + z*v**2 + y*v + a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = 9. Let n(u) be the second derivative of u**5\/20 - u**4\/12 - u**3\/6 - 3*u**2\/2 - 2*u. Let b be n(0). Put 3, b, j in decreasing order.\nAnswer: 3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 51\/8, 2\/11, -0.277?\nAnswer: 51\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48 + 1017*v + 105 + 210 wrt v.\nAnswer: 1017","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 2*b**4 + 49 + 614*b**3 - 50 - 883*b**3 - 2*b - 2*b**2 to z*b**4 + l*b**2 + v*b**3 + w + i*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + -1)*-1)**2 - (sqrt(300) + sqrt(300) + -1 + 5))*-5 + ((1*sqrt(300) + 4)**2 - (sqrt(300)*2)**2*-2).\nAnswer: 280*sqrt(3) + 1231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 = -2*j, 4*h - 32 = -3*j - 6. What is the greatest common divisor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825352 equal to 53554923\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/60 + 7*h**4\/24 + h**3\/6 - 21*h**2\/2 - 26*h. Let b(v) be the first derivative of n(v). Determine b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**4 + 6*v**3 - 1534*v**2 wrt v.\nAnswer: -96*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 59*v - 1471. Let g be m(25). Solve -2*c + 29 = 4*l + 21, g*l - 6 = -3*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let z(p) = 2*p + 1. Let x(u) = 2*n(u) + 2*z(u). Let v(g) = 12*g**2 - 9. What is x(v(r))?\nAnswer: 24*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 5*s - 7*s + 9*s**4 - 27*s**4 - 39*s**3 - 36*s**2.\nAnswer: -3*s*(s + 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 113. Let y = 1.29 - 1.09. Which is the nearest to y? (a) -4\/5 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) + -2*sqrt(240) - sqrt(240)))\/sqrt(10))\/(sqrt(192)\/sqrt(4))*-5.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 475.61 and 64?\nAnswer: 411.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4673 in 3\/7, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-1)\/(-1)*-4 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 - 3*t + 3. Let w(g) = -g**3 - 1. Let r(l) = -6*w(l) - 2*y(l). Let j(b) be the first derivative of b**2\/2 + 2308. Determine 6*j(m) - r(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -30*h + 29*h + w, 0 = 2*h + 2*w - 42. Solve -12*o = 1 + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*g**3 + 15*g + 6\/7*g**2 + 0.\nAnswer: -3*g*(g - 7)*(g + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 456 - 451. Solve n = z - o + 3, -2*z + 3*o = -1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3)*x)**(-6\/17))**(17\/4))**(-33) assuming x is positive.\nAnswer: x**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9766001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 442, 728, 1014, 1300, 1586?\n\"Answer: 286*a + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let a(i) = 8*i + 6. Give a(g(j)).\nAnswer: -16*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/(sqrt(60)\/sqrt(5)))\/sqrt(72))**2 - (-4*(sqrt(91)*-1 + sqrt(91))\/sqrt(7)*-4)**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - o**2 + 3*o - 6. Let s(f) = f**2 + 3*f - 38. Let z be s(-8). Calculate the remainder when 215 is divided by a(z).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88+-7720.34969\nAnswer: -7632.34969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*9 - (-67 + 76). Let u(y) be the second derivative of -y + 3\/5*y**5 - 4\/3*y**4 + 8\/15*y**6 - 2*y**3 + w*y**2 + 0. Factor u(b).\nAnswer: 4*b*(b - 1)*(b + 1)*(4*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3685 times 4.655\nAnswer: -17153.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l*l**0))\/(l*l\/((l\/l**(1\/2))\/l))**(2\/65) assuming l is positive.\nAnswer: l**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110\/282657 or -1?\nAnswer: 110\/282657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 89. Let v(t) = -41*t + 1 + r*t + 0. Let i(s) = -s + 5. Let f(x) = 2*x - 8. Let w(j) = -5*f(j) - 8*i(j). Give 3*v(a) + 4*w(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 4*j + 1. Let a be k(-2). Suppose 5*z = -n - 6, -a*n + 3*z = -z - 28. Calculate the smallest common multiple of 20 and (54\/n)\/(15\/20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 32, 42, 52, 62?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13361 - 137*r**4 + 126*r**4 - 2401*r**2 + 2664*r**2 wrt r?\nAnswer: -44*r**3 + 526*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24082669482 - 24082677967.4360114. Let v = 8486.856 + j. Let n = 1.42 - v. Round n to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + 11 + -12 + -10 + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1535 = -0*y. Suppose -2*d - 3*d = -y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -11. Let p(j) = j**3 + 3*j**2 - 4*j + 2. Let z be p(m). What is the third derivative of -16*t**4 + 3*t**4 - z*t**2 + t**2 wrt t?\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*f + 15*f + 595*f - 119*f.\nAnswer: 991*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 (base 6) in base 12?\nAnswer: -43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**6\/120 + 7*h**5\/60 + 5*h**4\/24 - 2*h**3\/3 - h**2 + h. Let s(z) be the first derivative of g(z). Is 7 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/780 + 17*s**5\/390 + 7*s**4\/12 + 49*s**3\/13 - 11*s**2 - 2*s. Factor t(z).\nAnswer: 2*(z + 3)*(z + 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5004, -5020, -5044, -5076?\nAnswer: -5116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 872, 3477, 7818, 13895, 21708?\n\"Answer: 868*i**2 + i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u + 3*u - 13*u. Let m(n) be the third derivative of 41*n**4\/24 - 2*n**2 + 108. What is m(d(h))?\nAnswer: 205*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let n(o) = 759*o. What is n(p(s))?\nAnswer: -1518*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 1. Let z be y(-1). Suppose -j - l = 1, 5*j = -3*l - 7 - z. Let t = -2 + j. Which is the second smallest value? (a) t (b) -2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a (base 15) to base 8.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 394\/10 - 2\/5. Let g = l + -28. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -25. Let q = -10 + 11. Let h(c) = q - 5*c**2 + 0*c - 2*c + 5 + c**3 - 5*c. Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 8*j - 3. Calculate r(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a = 2*a + 13*a - 1824 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 30*v**2 + v. Let a be w(4). Let n = a - 290. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 11*u - 29. Let w be k(-13). Is 2 - (w*2)\/(5\/325) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 15*o**2 + 15*o + 10. Determine t(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 1. Let v = 18\/7 + -19\/7. Let w be (-136)\/252*-3 + (-2)\/7. Which is the nearest to -2\/7? (a) v (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - 17*s**2 - 28*s + 28. Let b(k) = -4*k**3 + 25*k**2 + 35*k - 28. Let j(x) = 4*b(x) + 5*i(x). Determine j(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1433001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182181 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33605*f + 4247 = 16831*f + 16805*f. What is the remainder when f is divided by (28\/(-3))\/((-2)\/6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 12. Let y be t(0). Let m be y\/42 + (-5)\/(-7). Solve z + 21 + m = -5*r, 5 = -4*r - 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 103?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/32)*s)\/(s\/(s\/((s*(s\/(s\/(s*s**(-1\/10)\/s)))\/s)\/s))) assuming s is positive.\nAnswer: s**(511\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 2*q)*(-5*q - 3*q + 6*q) + 2*q**2 + 0*q**2 - q**2 + (-2*q + 2*q + 2*q)*(-5*q + 1 - 1) + 4*q**2 + 0*q**2 - 5*q**2 - 2 + 4*q - 4*q + 3*q**2.\nAnswer: -11*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)**(-6))**(-44)*((t**0)**(-2\/85))**(-7\/2) assuming t is positive.\nAnswer: t**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -337, -865, -1597, -2533, -3673, -5017, -6565?\n\"Answer: -102*f**2 - 222*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -2*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 - 105 = -x + 3*d, -5*x + 5*d = -1855. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58608 is divided by 58288?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 7:38 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 - 5*f + 8. Let n = -17 - -11. Let x be k(n). Find the third derivative of -z**2 + 4*z**2 + z**4 + x*z**4 wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -2\/9, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -112, -313, -684, -1279, -2152, -3357?\n\"Answer: -9*d**3 - 4*d**2 - 10*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + b = 899, 0 = -3*b + 5 + 4. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-18)\/21)*(128\/(-224))\/2. Which is smaller: 14588 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y - 2*z, -5*y = 256*z - 254*z - 27. Solve -y*p = 2*i - 25, 3 = -2*p + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18276039*q**2. Let x(o) = 2*o. Calculate z(x(a)).\nAnswer: 73104156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*t - 1661*f**2 + 616*f*t + 24*f + 115*t + 1299397 wrt f?\nAnswer: -4*f*t - 3322*f + 616*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2. Suppose -3*a = -g + 10, a + 3*g = -4*a - 40. Let m = -4 + 0. Put f, m, a in ascending order.\nAnswer: a, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - b + 0*b)*(-2*b + 2*b + 2*b**2) + (-2*b**3 + 0*b**3 + 0*b**3)*(-15 - 35 - 237) to c + g*b**2 + d*b**3 + s*b and give d.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*l - 8 = 0, -t + 2 + 0 = -l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1133 + 1136. Put 0, w, -12 in decreasing order.\nAnswer: w, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57545 - -137266. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f**4 - 175*f**3 + 325*f**2 - 185*f + 6 = 0.\nAnswer: 1\/29, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 458, 1645, 3638, 6443, 10066, 14513?\n\"Answer: c**3 + 397*c**2 - 11*c + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.1868 * -4\nAnswer: 4.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-3)\/(-42)). Let c be 9\/(9\/(-4)) - (0 - 4). Suppose -4*m + 5*u = -44, z*u - 2*u + 20 = c. Solve -4 = -2*t + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:04 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 21*s - 112 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5949834 and 1254?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*g - 1 + 5 = 0, -2 = -g. Let l = 0 - -5. Suppose 0*d - 5*d = l. Is d smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-4))\/(24\/32). What is the greatest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyrmyyyyyyy. Give prob of sequence yr.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -4) + 8 + (-23 - -5) + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 7 + -12 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 7:47 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) - (sqrt(288) + -1))) + sqrt(288))**2*-3.\nAnswer: -3459 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.3, -0.5, 9\/7.\nAnswer: -0.5, 1\/5, 0.3, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = -2*q + 6, 0 = 5*q + 5*o + 5. Which is the closest to -5\/4? (a) 0.1 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 20*z**2. Let l(o) = 15*o**2. Give l(b(d)).\nAnswer: 6000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 157, 0.4, -0.04, -3, -2.431?\nAnswer: -2.431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24393 - 332*i**2 + 24393)*(0 + i**2 + 0) + (i**4 + 3 - 3)*(3 - 2 + 0).\nAnswer: -331*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*f - 24. Let x = f + 0. Calculate the greatest common factor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 7442?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 8\/5. Let f = n + 2. Let m be (1 - f) + (-3 - -2). Which is smaller: 2\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73891.72s to milliseconds.\nAnswer: 73891720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221730 by -10.\nAnswer: -22173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bb5 - -731?\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 6 + b - 6 - 5*b - 3. List the prime factors of u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 56 (b) 5 (c) 766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 1\/2*w**5 - 49\/2*w**2 + 0 + 217\/4*w**3 + 0*w - 43\/4*w**4 = 0?\nAnswer: 0, 1\/2, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 0*j = -4*j + 4, 4*u - 3*j = -38 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + -12. Let c = a + 37. Let p = -48 + c. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*u - 8*a**4 - 41*a**3*u - 3*a**3 + a**2*u - 6*a*u + 4*u + 3 wrt a.\nAnswer: -48*a*u - 192*a - 246*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b. Suppose -6*u + 7 + 11 = b. Find y, given that y**2 - y - 1\/3*y**u + 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*-6 - (2 - 0). Sort 5, 3, n, -3.\nAnswer: n, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/322 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/5 + 1156*b**4\/5 + 398842*b**3\/5 - 1610316*b**2\/5 + 242064*b = 0 for b.\nAnswer: -246, 0, 1, 3, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1682*l. Let w(a) = 14*a + 69. Let n(d) = 255*d + 1265. Let r(u) = -3*n(u) + 55*w(u). Give p(r(b)).\nAnswer: 8410*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 3. Suppose -3*p + 7*p = 4*h + 4, -p + 17 = -5*h. Calculate the remainder when v(h) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*3*2)\/(sqrt(4) + (3*sqrt(12) - sqrt(12))\/sqrt(3)) + 3 + (2 + ((0 + sqrt(1088))**2 - sqrt(1088)) + sqrt(1088))*2.\nAnswer: 2*sqrt(17) + 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgxlr. What is prob of picking 1 g and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -107*c**3 + 2*c**2 - 9*c + 15. What is m(3)?\nAnswer: -2883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -727*o**6\/2 - 55*o**4\/3 - 2*o**2 - 1557*o + 4. What is the third derivative of x(r) wrt r?\nAnswer: -261720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17087 + -10972. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-12) + 5\/10. Solve 4*v = -4*g - 4, 4*g + h = -3*v - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147882556 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c + 1. Let n be m(-2). Suppose 5*b - n = 4*z, -2*b + 10 = -6*z + 4*z. Calculate the lowest common multiple of ((-5)\/(-5) + -4)*b\/(-1) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29638 - 5*c**2 + 13*c**3 - 2*c - 29638 + (-1 - 1 + 3)*(-c**3 + 3*c - 3*c).\nAnswer: 12*c**3 - 5*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)*n**(-5\/4))\/(n**4\/(n**4\/n)))\/((n**(2\/5))**(-1\/14))**(-1\/31) assuming n is positive.\nAnswer: n**(-8033\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/2 (c) -0.5 (d) 0.1 (e) 2\/5 (f) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 23 - 15. Let t = 0 - -1. Let q = 5 - t. Sort q, h, 2 in increasing order.\nAnswer: h, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + -2*sqrt(396))**2)*2 + (sqrt(396) + 1)**2*4.\nAnswer: 60*sqrt(11) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzlzznl. Give prob of picking 1 n and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -4. Let w be (-2 - -8)*4\/(-6). Let o = w + 1. Which is the closest to 0? (a) r (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*d**3 + 949*d**3 - 286*d**3 + d - 333*d**3 - 24211 to the form k + a*d**2 + b*d + r*d**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1\/3 (b) 1\/2 (c) 2\/23 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = r. Let p be (r\/130)\/(8\/(-20)). Let v = -3 + 5. Sort p, -4, v in descending order.\nAnswer: v, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196521968 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -26, -45, -68, -95, -126?\n\"Answer: -2*i**2 - 9*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17497*c**2 + 209963*c + 12.\nAnswer: -(c - 12)*(17497*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3573*n - 198 = -3591*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:07 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2142)\/8262)\/(7\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 15) to base 14\nAnswer: -1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3444 = -22*t + 50*t. Solve -t + 128 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:28 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9*c + 6 = 8*c, -2*c = -u - 2. Let m be (-60)\/20 - 84\/u. Calculate the highest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 418?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1798, -4133, -6996, -10387?\nAnswer: -14306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j - 1 + 5\/2*j**2. Let f be 4 - ((0 - -3) + -2). Let m(q) = -q - 1. Determine f*m(t) + s(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1851, -1337, -6649, -14085, -23645, -35329?\n\"Answer: -1062*s**2 - 2*s + 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -4*j + 10*z - 12, 0 = -5*z - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (-23)\/4 - 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 6. Let j be t(4). Let f = -11 - -14. Solve k - f = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 + 132 = -52*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 830 (b) 0 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -37 - (-29 - -21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + -12?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*n + 13 + 20 = 0, 4*k - 5*n = 0. Let j = 1 + -1. Solve j = -0*q - k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6409 - -0.8409. What is the nearest to -7 in t, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:58 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6298 + 5132. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -50\/19, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480 - -546. What is the remainder when ((i\/(-4))\/3)\/((-4)\/184) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2613 - -2618. Solve 3*w = g + 1, 16*g - 5*w + h = 15*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 45.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*g**2 + 249*g**2 + 124*g**2 + 0*g**2 + g**2 - 3*g**2 + (-2 - 4 + 7)*(12 - 12 - g**2).\nAnswer: 298*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**2 - 7*m + 2*m + 5*m.\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v)**(-7\/8)*(v\/v**(-2\/5))\/(v**(-2\/7)\/v*v)*v*v*v*v\/v**(4\/7)*v**(-4)*(v\/(v*v*v**(1\/2)*v*v))**39 assuming v is positive.\nAnswer: v**(-76061\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20224413 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8643 and 1567599.\nAnswer: 67406757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**2 - 6*u**2 - 22*u - 3*u**2 + 20*u - 5. Let d(r) = -4*r**2 + 7*r + 15. Determine 4*d(s) + 14*f(s).\nAnswer: -2*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 - 55*h**3 - h**2 - 231 wrt h?\nAnswer: -48*h - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-2)\/(-1))\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22412 (base 5) in base 16?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:01 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32190075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + r - 1 = 0, -2*t - 4*r = -2 + 4. What is the units digit of t\/((-1)\/1)*(-1086)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357590.7g to milligrams.\nAnswer: 357590700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24777603 rounded to the nearest ten thousand?\nAnswer: -24780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -366787 less than -1?\nAnswer: 366786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 16489\nAnswer: -82445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-5))\/((-1 - -5)\/(-20)). Suppose -2*b = -1224 - 4156. Is 56\/(-308) + b*19\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498150425 to the nearest integer?\nAnswer: 22319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14340 (base 6) in base 5?\nAnswer: 33132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -376 + 380. Suppose 4*n - 4 = 4, 0 = -w - 4*n + 26. Let i be 51\/w - 1\/(-6). Solve -4*o = 3*k + i, -3*k + 0*o = -b*o + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.8 and -409 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -219a3244?\nAnswer: -219a3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Let d(u) = -u**3 - 2*u**2 + 2*u + 7. Let y be d(j). Solve 12 = 3*n - 2*k, 3*n + 11 = y*n - k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1926*m + 287*m + 992*m + 2304*m.\nAnswer: 5509*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0 (c) 0.3 (d) 2 (e) 7\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6902*x - 4341*x + 4968*x + 206 - 208 in the form q + h*x and give h.\nAnswer: 7529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-83)\/(9711\/(-26))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8816, -8827, -8846, -8873, -8908?\n\"Answer: -4*w**2 + w - 8813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 150*v**2 + 24642*v - 2236. Calculate n(-249).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 2*k**3 - 9*k)*(-3876 - 1247 - 2057 - 2059 + 2478) as w + f*k + d*k**2 + b*k**3 and give b.\nAnswer: 13522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d + 370 = 133*d. Let g = d - 60. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 - 364 - (-17 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1503*p + 20998. Calculate r(14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Let k(j) = -3*j**2 + 3*j**x - 2*j**2 - 3*j**2. Let b(g) = -g**2. What is b(k(v))?\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081900009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -10. What is the tens digit of r\/26 + (-920)\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20b73157 + -7?\nAnswer: -20b73162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-2)\/4*2. Suppose 8 = 2*d, x*w - d + 4*d - 80 = 0. Let f(p) = p**3 - 18*p**2 + 19*p - 3. What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04376 - 121.66376. Let a = 68 + -191. Let q = a - j. What is q rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37.98 and 1.677?\nAnswer: -63.69246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, -0.2, -5, 2, -109 in decreasing order.\nAnswer: 2, 0.28, -0.2, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-44)\/(l*l**(2\/21)) assuming l is positive.\nAnswer: l**(-947\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.31864 times 0.09\nAnswer: 0.0286776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o*o)**(-15)*(o**8\/o)\/(o**(-3\/7)\/o))**(3\/8) assuming o is positive.\nAnswer: o**(-453\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*sqrt(91)*-3)\/(3*sqrt(112)) + (-3 + 2 + sqrt(13) - -2*sqrt(117)))**2.\nAnswer: -11*sqrt(13) + 1561\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-1)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 7320.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l + 3*y + 44, 5*l = -5*y + 120. Suppose f = -4*f + 80. Calculate the smallest common multiple of f and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -1\/7, -9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 566, 545, 550, 575, 614, 661, 710, 755?\n\"Answer: -a**3 + 19*a**2 - 71*a + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-8) + 1)*4\/(-10)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-740)\/(-555)*10\/(-12)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4661 - -0.0339. Let m = 13.91 - -0.09. Let r = 13.91 - m. Sort r, l, -0.2 in increasing order.\nAnswer: -0.2, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qesxosx. What is prob of picking 1 e, 1 s, 1 o, and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (13 + -9 - -12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15132 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:34 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 19560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 14*y - 29. Let w be u(6). Suppose -15 = -14*o + w*o. Let s be (12\/(-9) - 0)*o\/(-2). Sort 1\/2, 5, s.\nAnswer: s, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-77350)\/(-252))\/(-17) - (-45)\/5 - -9).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/10 + x**4\/24 + x**3\/3 - 2*x**2 + 6*x. Is 5 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5572 and 119\/1860252.\nAnswer: 13021764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -43. Suppose -27*h + 1870 = -1370. Let r = w + h. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 31*s - 15304 = 0. What is s rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152361123 not equal to 152361122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/(-216)*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26587.\nAnswer: 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + -7) - (7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 407770 and 45990?\nAnswer: 1875334230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -14 (b) -2 (c) 4 (d) 1\/3 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/80 + (-3)\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -360.\nAnswer: -360, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472464 < 3472462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 - 83*z**3 - 457 - 33*z**3 + 129.\nAnswer: -116*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 66 = -15*a. Suppose -a*u + 65 - 11 = 0. Suppose -3*j + 99 = u. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 11 = 3 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let i(g) = 6*g**2. Let c(d) = -6*i(d) + 17*j(d). Let z(q) = -197 + 393 - 4*q - 196. Determine z(c(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121360 divided by -1640.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96770 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70658, 141307, 211942, 282557, 353146, 423703?\nAnswer: 494222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**7\/105 - v**6\/720 + v**4\/3 - 4*v. Let z(u) be the third derivative of p(u). What is the tens digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30084531.\nAnswer: 3, 10028177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 300, -118, -536, -954, -1372, -1790?\n\"Answer: -418*n + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + t + 4 = -0*g, 2*t + 16 = 3*g. Calculate the least common multiple of 15 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/14 (b) -0.6 (c) 249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 703369 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561470818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305815 is divided by 6505?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/15 + 5*r**4\/24 - 4*r**3\/3 + 13*r**2 + 2*r. List the prime factors of j(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 14}. What is prob of sequence ktk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 61*p**5\/60 + 13*p**4\/24 + 67*p**3\/6 - p**2 - 7. Is r(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76, 75, 76, 79, 84, 91, 100?\n\"Answer: h**2 - 4*h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -2*t - 14*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 11. Let o be r(8). Suppose -16 = -4*a, t - o*t + 2*a = -24. Solve l = 2*k + t, 0 = -5*k - 16 - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 3 + 3.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.87273275 to 2 decimal places.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r - 5*r = -39*r + 167*r - 4752 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.12589 and 14.791543.\nAnswer: 30.917433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 8*w + 36. Let o be d(-11). Solve 0*z - 2*z = q + 11, -z + o*q = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from hbghg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49753\/2314 - -1\/1157. Calculate the common denominator of r and 59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3833 is divided by 261?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(sqrt(441)*2)*2)\/(sqrt(63)\/sqrt(9)*6 + 3*sqrt(7)*-5).\nAnswer: -sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919774 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298865073 divided by -3.\nAnswer: 99621691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287575*b**5 + 243980*b?\nAnswer: 5751500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 3\/2, -3, -0.03, 87, -1\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/2721598 and -39\/2299.\nAnswer: 29937578","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m - 1. Let h(f) = -f**2 + 3*f + 5. Let x(b) = -h(b) - 4*y(b). Let v be x(1). Suppose 0 = v*c - 31 - 29. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. What are the prime factors of 36 - (-3 - 8\/x)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6650*y**2 + 4*y - 4. Let n = -52 - -53. Let l be m(n). What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436824, -1747094, -3930878, -6988176, -10918988, -15723314, -21401154?\nAnswer: -27952508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - j - 84 = 406, -5*a + 515 = 4*j. Let u be 6*(-4)\/(48\/(-94)). Let k = a - u. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -144701 + 5?\nAnswer: -144674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58*51\/5916*-16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 + 58*z**2\/9 - 41*z\/3 - 20.\nAnswer: (z - 3)*(z + 1)*(z + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 0, 185, -3 in ascending order.\nAnswer: -9, -3, -1, 0, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h*v**3 - 2*h*v**2 + 7*h*v + 13994*h + 5*v**3 - 4408*v**2 wrt v?\nAnswer: -24*h*v - 4*h + 30*v - 8816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.5. Let y = -17 + 16.3. Let c = y + -0.3. What is the nearest to c in 0, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -84 - ((-10 - -8) + -9 + (-7 - -9 - 1))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - (-111 - -30)) + -14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025630114 to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -62. Suppose z = 5*f + i, 6*z - 2*z - 5*f - 237 = 0. Suppose -2*g - z = 5*s - 166, 3*s = g + 59. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 0)*5\/(-15). Suppose 27 = 4*i + m*h, 3*i - 3*h - 15 = -0*h. Calculate the greatest common factor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let i(s) = -3810*s**2 + 75*s - 30. Let a(v) = -v**2 - 5*v + 2. Let y(h) = -15*a(h) - i(h). Calculate y(d(b)).\nAnswer: 15300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3678*h - 4989*h + 11799 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 15?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**3 - 175*p**2 - 1409*p - 37. Determine v(-6).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1835\/30913 or 1?\nAnswer: 1835\/30913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -47*u + 7. Let k(w) = 94*w - 14. Let g(t) = -5*d(t) - 2*k(t). What is the tens digit of g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s**2. Let j(o) be the third derivative of -o**5\/30 - 8*o**2. Calculate j(g(y)).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:27 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 58 + 225 = 4*s, -2*s + 2*g = -88. Let c = -31 + s. Suppose -4*t - c = -8*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgg when three letters picked without replacement from vtztgztvtpv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103613 - -6.\nAnswer: -103607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -27850.\nAnswer: -3\/27850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 3, i: 1, h: 1, y: 5, q: 1}. What is prob of picking 1 i and 1 y?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 441, 2\/9, 2, 86?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.000009 + -46. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l - 3*j, 6*j = 3*j + 6. Suppose 4*k + n - 98 = 64, n - 82 = -2*k. Let o = k + -40. Sort l, o, -4 in descending order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4989, 4995, 5005, 5019, 5037, 5059?\n\"Answer: 2*t**2 + 4987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, -b + 552 = 3*r + 177. Suppose -7*l = 2*q - 4*l - 263, 5*q - 5*l = 645. Let h = q - r. Solve -5 - 20 = -h*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/71, 0.3, 2\/24045, 0.4, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.4, 0.3, 3\/71, 2\/24045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/35 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) + sqrt(117) + sqrt(117) + 2 + sqrt(117) + sqrt(117))*-1)**2*-5 + (-1*sqrt(117) + 2 + 4)**2.\nAnswer: -9227 - 276*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:49 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30579174 to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-245)\/(-147)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50558497 by -6.\nAnswer: -50558497\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22299?\nAnswer: 3, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {i: 3, j: 3, o: 1, u: 2, c: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7 + -8?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 plus 0.471?\nAnswer: -5.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 5*w**2 - 3*w. Let p be k(1). Factor -p*g**3 - 14*g**3 + 13*g**2 + 29*g**2 + 6*g**2 - 32*g + 2*g**4.\nAnswer: 2*g*(g - 4)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {l: 3, y: 1, p: 5}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2 + 13*c**3 + 7*c**3 + 2*c - 16*c**3. Let d(n) = n**3 + n - 1. What is -b(t) + 2*d(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54005 and 8715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 8*z**2 + 9. Let u be j(-8). Let g be 6\/u - (-5)\/(-10). Find w, given that -1\/3*w + 1\/6*w**2 + g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 10*((-9)\/(-3) - (4 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:21 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -0.03 (b) 13\/2 (c) -1\/6 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i + 122. Let n be w(7). Suppose -21*v + n*v + 414 = 0. What is the remainder when 136 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**2. Let z(q) = 196 - 29 + 5*q - 167. Give z(u(r)).\nAnswer: -65*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:00 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**2 - 78*v + 78*v.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - u. Let k = -24 - -8. Let h = k + 24. Suppose h*j + 20 = 13*j. Give i(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 16 + 17 + -12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(100)*2))\/(-1*sqrt(24)\/(sqrt(2) + sqrt(2) + sqrt(8)\/sqrt(4) - sqrt(2)))*3.\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + z**2 + 2*z**2 + (z - 2*z + 0*z)*(-4*z + 3*z + 3*z) in the form w*z**2 + f*z + t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = 1445. Suppose -2*z + y = 43. Suppose -3*h = -4*f - 95, 0 = 2*h + h + 3*f - z. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 495984560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-4)\/16*6\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643892 = -4*d - 123892. What is d rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/165 + 2\/15. Let o = -1 + 0. Let g = o + 0. Which is the biggest value? (a) t (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = -2*s + 5, 0 = 3*v. Let a = s + 0. Suppose -a*n + n = -43. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 2*v - 3. Let p be b(3). Calculate the remainder when 114 is divided by p\/(-10) + (-112)\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1749359\/38 - 46033. Let h = 157\/100 - 8\/25. Calculate the common denominator of v and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/26 - -3 - 2. Let c(h) = h - 2. Let q be c(3). Sort -2\/11, a, q in increasing order.\nAnswer: -2\/11, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -0.4 (c) 20042 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 364210.\nAnswer: 1092630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9481*w = 9476*w - 55 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312 + -3023123?\nAnswer: -3112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 60 = -8*a. Let y = 31 - a. Calculate the remainder when 56 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027122920?\nAnswer: 2, 5, 71, 361663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1631 + 361?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140 a factor of 259873260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -251*x**3 - 13*x**2 - 2*x - 11. Let n(c) = 126*c**3 + 6*c**2 + c + 5. Let l(q) = 13*n(q) + 6*r(q). Find the second derivative of l(m) wrt m.\nAnswer: 792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*d + 1664 = 11145 + 3644 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:13 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:34 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.08 + 0.98. Which is the nearest to v? (a) -1 (b) -2\/17 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, v: 8, a: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(280\/(-147)) + -3. Which is the closest to 0? (a) -2 (b) q (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237483 is divided by 163?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/54 + 74*h**3\/3 - 12321*h**2 + 219*h. Factor g(z).\nAnswer: -2*(z - 333)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 + -4. Let p = -6 - -6.2. Let i = o + p. Sort -3, i, -1\/6 in ascending order.\nAnswer: -3, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, j: 8, k: 1, f: 1}. Give prob of sequence jfj.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12351 or -12653?\nAnswer: -12653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651165 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4 + z + 7*z**2 + 7*z**2 - 13*z**2. Suppose -i + 5*u - 3 - 2 = 0, 0 = 4*i + 5*u - 5. Let a be t(i). Solve -s + 0 = -a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**7\/1050 - v**5\/150 + v**3\/30 + 3*v**2\/2 + 4. Let h(b) be the second derivative of i(b). Factor h(y).\nAnswer: (y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 - 6*d + 3. Let h be i(7). Let a be 1 + -2 + h\/2. Let k be (-1 - -1) + (-1 - -26). Solve 0 = a*p + p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-309)\/206)\/(18\/(-8))*(-6)\/(-2). Let a = 1.2 - 1.4. Suppose -r + 5*v + 52 = 0, 2*v = -3*r + 92 - 4. Sort c, -0.3, r, a.\nAnswer: -0.3, a, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561135?\nAnswer: 3, 5, 37409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 4:06 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/720 - 5*i**4\/12 + 8*i. Let h(d) be the third derivative of g(d). Let w(z) = -2 + 2*z + 2 + 0. What is w(h(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 431103.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55430*s**4 + 63*s**3 + s**2 + 77562009*s?\nAnswer: 665160*s**2 + 378*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5))\/(h*h**(-1))*h**(-3\/10)\/h**(2\/13) assuming h is positive.\nAnswer: h**(-579\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/64 and -107\/200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.023 + -0.277. Which is the second smallest value? (a) 5 (b) -7 (c) v (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 11*y**2 + 100*y + 343. Determine s(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/105)\/(2\/7). What is the closest to 1\/6 in -3, 1\/7, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.049 + 2.449. Let w = -231.98 + 230. Let j = c + w. Round j to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**4 - 20*b**4 - 25*b**4 + (-b**4 - 4*b + 4*b)*(-1 + 0 - 1) + 2*b + 4*b**4 - 5*b**4 + 3*b to l*b**2 + y*b + z*b**4 + t*b**3 + f and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32600 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: Is 380 a factor of 176000420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45847 is divided by 15168.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 - 5 = 0. Let q = 4 - 2. Calculate the remainder when q is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Factor 6*c**4 - 2*c + 0*c**2 + 5*c**3 + y*c**2 + 5*c**3.\nAnswer: 2*c*(c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v**2 - v)*((-4*v + v + v)*(-2 + 1 + 3) - 1788*v - 4127 + 4127).\nAnswer: -1792*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**5\/15 + c**3\/3 - c**2 + 4. Let s(f) be the second derivative of u(f). Differentiate s(q) with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 13644?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-286*388\/(-818389))\/((-1)\/2*-2*-2)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189065804 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006955 rounded to 7 decimal places?\nAnswer: -0.0000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(35\/4))\/(6*17\/(-2142))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 2*v**2 - 4*v**3 - 14*v**3 - v**3.\nAnswer: -23*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 10*b + 1197. What are the prime factors of b\/(4\/((-128)\/24))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.471 - 1.471. Let o = 5.238 - 0.038. Let u = o - 5. Which is the third biggest value? (a) p (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68646973?\nAnswer: 23, 29, 101, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -t - 27, 2*q + 2*q - 72 = t. Is -2\/5 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37280\/62219 or -2?\nAnswer: -37280\/62219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142083 is divided by 17602?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = -2*c + 6*c + 5*g, 344 = 5*c - 2*g. What is the remainder when c is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 + 10083*y**2 - 10086*y - 20168 = 0. Calculate y.\nAnswer: -10084, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-1540)\/1116) + -1 - (-21)\/(-3)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*r + 4, -5*d + 3*r + 3 + 1 = 0. Suppose 0 = t - 4*o - 2648, -t - t = d*o - 5276. What is t rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/250)\/(6\/45)*(-1)\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1324*h**4 + 1314*h**4 - 170*h + 7 - 2637*h**4 - 5*h**2 to n*h + v + b*h**4 + m*h**3 + q*h**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1900))*4 + sqrt(1900) + 1 + (1 + sqrt(1900))**2 - (((3*(5 + sqrt(1900)))**2 - sqrt(1900)) + -3).\nAnswer: -15424 - 820*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:51 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k + 2*k + (1 - 5 + 2)*(k - k - 2*k) + 0*k + 2*k - 3*k - 2*k - 3*k + 4*k to o*k + h and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17643 = 4*x + 5935. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*u - 3, w + 2 = -18*u + 19*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 79703208.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 321, 4, 5, -5 in increasing order.\nAnswer: -5, 0, 4, 5, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-834)\/(-14) - 78\/(-182). Let w = 63 - b. Let h be (-14)\/(-6) - 1\/w. Solve -h*x + 4*i + 12 = 0, 9 = -4*x + x - 3*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778594 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 92 = -53*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w**3 + 7*w**2 + 678*w + 3333. Calculate j(-5).\nAnswer: -3007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/2 - 2675)\/17. Let i = n - -157. Let u = 33\/115 + -2\/23. Which is the second biggest value? (a) u (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123 + -2 - (8 - -1)) + (-124 - -104)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 729*g**2 - 391*g + 9535. Give n(365).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1257465 and 16995?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-24)*-2 + (-15345)\/(-660). Solve -c = -5*r + o, r = -3*c + 7*c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4436*b + 4495. Determine j(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 y when three letters picked without replacement from {h: 4, u: 1, s: 3, y: 5, t: 4, z: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 126 - 63 + 0*v**3 + 18*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2\/2 - 9*c - 3. Let h be x(11). Suppose -3*p + 68 = -2*u, -5*p - h*u + 92 = -0*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 18*j**2 + 18*j + 18. What is the least common multiple of c(3) and (15 + -1)\/(1\/4)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**3 - 9*v**3 + 119*v**5 + 28*v**2 - 118*v**5 wrt v.\nAnswer: 60*v**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886553023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2050*k**3*m - 53*k**3 - 20621*k**2*m + k*m - 3*k wrt k?\nAnswer: -12300*m - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3257163, -2, 3, -4.\nAnswer: -4, -2, 3, 3257163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - 15 - -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24542 (base 7) in base 10?\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/91*(-76)\/((-9120)\/2100)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9319*f**2 + 17*f + 47 wrt f.\nAnswer: -18638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = 2*t, 5*v + t = 2*t + 54. Let y be (v - 5)\/(2\/1). Let c be -11 - (y - 14\/2). Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28348d - -1?\nAnswer: -28348c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*v + 2*v + 40, -30 = 3*u + 2*v. Let h be (8\/u)\/(3\/(-15)). Let a = -568877 - -568880. Solve -2*k - 4*y = -a*k, -3*k - h*y = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: aacb (base 13) to base 15\nAnswer: 70d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 15 - (79 - (2 + 64))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -63, -105, -153, -201?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16*k + 2. What is the remainder when 69 is divided by s(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124014 and 8?\nAnswer: 496056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7679317079?\nAnswer: 7, 20879, 52543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -829850898 - -829850856.0000141. Let j = -102 - -144. Let z = g + j. Round z to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/147)\/((-2)\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 63037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.004007 and -12.\nAnswer: 1.004007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -31*p - 27. Let s be n(-1). Suppose -4*i + 2*x = -3350, s*i = -4*x + 3407 - 63. What is the greatest common factor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 n, and 1 e when four letters picked without replacement from {c: 2, n: 4, j: 5, e: 4}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17608 + -14373. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -270 + 386 - 118 - f**2 - 8*f. Suppose i + 16 = -0*i + 4*z, 2*i + 6 = -5*z. Calculate l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -43, -49, -55, -61?\n\"Answer: -6*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67416 and 848?\nAnswer: 134832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - (98 + -95)) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 4:40 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356*h - 1362*h = -6. Let f be 29*((-8)\/(-12) - h\/(-3)). Calculate the highest common divisor of 1537 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20465 + 20557. What is the greatest common factor of 16652 and j?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 14. Which is the closest to -1? (a) -0.1 (b) 3\/8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 570044451*x + 64207979 wrt x?\nAnswer: 570044451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*q**2 - 14*q**2 - 10*q + 20*q**2 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-4) + (-2)\/4. Solve g*m - 15 = -m - h, 5*m - 4*h = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209 is divided by 313.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/78084927 and 131\/570?\nAnswer: 780849270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2. Let z(j) be the first derivative of -j**5\/30 + 2*j**2 - 23. Let l(i) be the second derivative of z(i). Give l(s(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose x = -0*x - i. Let j be 0 + (-2 - x) - -3. Let d(v) = v**2 - 5*v - 4. Calculate d(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -82, -105, -126, -139, -138, -117, -70?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 2*g - g)*(-2 + 0 + 7) + 58*g - 36*g + 152*g as s*g + l and give s.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 2*u + 5*u)*(-1 + 1 + 2)*(0 + 4 - 2)*(2 + 3 - 4) + 14 - 19*u - 14.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5\/6 (c) -0.2 (d) 9.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 3*m - 1. Let g(v) = -8*v**2 + 17*v + 9. What is g(p) + 5*q(p)?\nAnswer: -3*p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1823012*q**3*x**4 - 2*q**3*x**2 + 2*q**3*x + 2216016*q**2*x**2 + 3*q*x**2 - 7*x**4 wrt x?\nAnswer: 43752288*q**3*x - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-8 - -1 - 3). Suppose u = 6*u - h. Solve -d - 5 = -u*d + j, -3*d - 3*j - 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*f + 120 = 0, -2*f - 3*f = -3*c + 150. Suppose -8 - 22 = -z. Calculate the highest common factor of c and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**3*s**2 + 33*c*s**3 - 379*s**3 wrt c.\nAnswer: -18*c**2*s**2 + 33*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Let f(d) = -d**3 + 4*d**2 - 2*d + 8. Suppose 0 = 5*a + 5*p + 6 - 46, -20 = -4*a - p. Let n be f(a). What is the nearest to w in n, -1\/4, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/3, 1\/3, -3\/4, -496 in increasing order.\nAnswer: -496, -3\/4, -2\/15, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -714 + 717.89. Round o to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 7 + 11. Let w = i - -11. Solve w*x = 4*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 + 775 - 2*r - 260 - 261.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 55. What is the tens digit of i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/2041602 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*r**5 - 8*r**2 - 3*r - 3988 wrt r?\nAnswer: -3200*r**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 44 = 5*p. What is the remainder when 45 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from -23.650875621.\nAnswer: -3.650875621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2 = -2*l, 3*s - 2*l - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -14*u + 396. Factor -41 - 70 - 29 + u - 64*c - 4*c**2.\nAnswer: -4*(c + 2)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 5*j + 8*m, -92 - 31 + 25 = -6*j + 2*m + 38 + 28 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*i = 1, -2*i = 2*q - 0*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-236*h**5 + 1000*h**5 + 541*h**5).\nAnswer: 1305*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, p: 5, c: 1, l: 1, u: 3}. Give prob of picking 1 u, 1 k, 1 p, and 1 c.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 1. Let b(c) = -21*c**2 + 21*c + 75. Let h(a) = -b(a) - 5*u(a). Is h(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 8*y + 4. Let q be l(-3). Let u = q - -2. Suppose u*z + 16 = t + 2*z, 5*t + z - 116 = 0. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 1, k: 3}. What is prob of picking 3 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 6*t**2 + 6. Let y be b(-6). Let j be y\/4*14\/3. Solve 3*v = 2*w + j - 2, 3*v = w + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2478, 4, -1\/7?\nAnswer: -0.2478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2366\/47 - -239749\/4700. What is the common denominator of -13\/32 and h?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7243\/11 + -3478301\/5280. Find the common denominator of d and -29\/420.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 10. Suppose 0*i + 60 = 3*i. What is the smallest common multiple of i and y(4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/1149677?\nAnswer: -2\/1149677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/30 + f**4\/12 - 2*f**3\/3 - 48*f**2 + 4*f. Let y(d) = d**3 + d**2 - 1. Determine -w(h) - y(h).\nAnswer: -h**3 + h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(605) - (sqrt(605) + -1 + sqrt(605))) + sqrt(605)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3\/12*74. Suppose 3*t + 0*q - i = -5*q, 0 = -4*t - 4*q + 36. Suppose 0 = 3*k + t*g - 182, 66 = -k + 2*k + 4*g. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2\/3, 3 in increasing order.\nAnswer: -3, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 102*q - 3. Let i be x(2). Suppose 867 = -3*m - 2*b + 889, 6 = -5*m + 2*b. Suppose 4*r + m + 6 = 0, j - i = -4*r. Is 25 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 248*z**3 - 499*z**3 + 252*z**3 + 0*z**2 + 3*z**4 + z**2 as d*z**2 + k + y*z**4 + t*z**3 + b*z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 40\/24*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4543 + -4471.86. Let g = -0.154 - -72.154. Let s = g - k. Round s to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 10. Let l be g(5). Let o be (-2*(6 + 1))\/(-11 - -12). Let k(f) = -f**3 - 15*f**2 - 16*f - 23. Let s be k(o). Solve -s = 5*z + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/16*0\/1. Solve 3*n - 15 = -c*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -4)\/((-1)\/6). Let o(f) = -3 + 687*f - f**2 + 5 - 694*f + 5. What is o(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgl when three letters picked without replacement from {l: 1, j: 3, g: 4, e: 2, f: 1, s: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177771 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvv. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, w: 1, p: 1, s: 2, l: 2}. What is prob of picking 1 l and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q + 4. Let c(n) = -n - 7. Let d be c(0). Let w be v(d). Let u = 67 - w. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.26? (a) 0.2 (b) -0.5 (c) 0.09 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 11:07 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*o + 2*n - 64, 4*n + 8 = 0. What is the lowest common multiple of o and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -7 + 5 + (6 - (8 + -3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**23*o*o*o**(-2\/83)*o)\/(o**(-1\/6)\/o**(-7\/5)) assuming o is positive.\nAnswer: o**(61609\/2490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 575, 2302, 5179, 9206, 14383?\n\"Answer: 575*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a)*(-2*a - 4*a + 5*a) + 5*a**2 - 6*a**2 + 6*a**2 - 2*a**2 - 3*a + 3*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 divided by 23?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 187 = -45. Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c - 13*c + 33*c)*(c**3 - 4*c**3 + 0*c**3) to a*c**2 + g + z*c**3 + j*c + s*c**4 and give s.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4042 + -4086 + (0 - -82).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/25))**(-8))**34)**(19\/6) assuming x is positive.\nAnswer: x**(5168\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 16) in base 13?\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -7752377.\nAnswer: -248076064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 876 + 1019 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z**(-1))**(-1)\/((z**(2\/7))**(-2\/25))**(-4) assuming z is positive.\nAnswer: z**(334\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2492*0.04.\nAnswer: -99.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 9*a + 11. Let b be l(-10). Let s be 2 - -1 - (0 + b). Suppose o + s = 5. Calculate the smallest common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1. Let a = -26 + 80. Let o(m) = 60 + 3*m - 119 - 4*m + a. Calculate 4*d(n) + o(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/7, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/5)*q**(-13\/2))\/(q**(1\/3)\/q)**(-4\/7) assuming q is positive.\nAnswer: q**(-1613\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(112\/21)*(-5248)\/12?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-249 - -259) + 4 + -1 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -890 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426.37*0.08.\nAnswer: 34.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 - 4*o**3 + 9*o**2 + (o - o - 2*o)*(-o - o**2 + o) - 5*o**2 + 5*o**2 + 3*o**3 to w*o**3 + t*o + u + p*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153926101?\nAnswer: 7, 349, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -272, -905, -1538, -2171, -2804, -3437?\n\"Answer: -633*c + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/60 + u**5\/15 + u**4\/12 - 13*u**2. Solve j(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 13 - (-1 - 5). Let i(c) = 68*c - 4. Let b(f) = 68*f - 5. Let x(y) = 3*b(y) - 2*i(y). Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7)\/(105\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21)*(p**(-17)\/p)\/p)**(2\/129) assuming p is positive.\nAnswer: p**(-80\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/(-12) - 2\/3. Suppose -84 = -n*t - 14. What is the second derivative of t*b - 9*b**2 - b**2 - 3*b**2 wrt b?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95418 and 2592?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**3 + 19*i**2 - 6*i - 5. What is the remainder when l(7) is divided by 280?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (sqrt(1573) - (-1 + sqrt(1573))) + 5.\nAnswer: 6 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/10833 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220557*c**3*h**3 - 34*c**3*h**2 - 42*c**2*h + 78*c*h**3 - 874 wrt c?\nAnswer: 1323342*h**3 - 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2105711 (base 8) to base 10\nAnswer: -560073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(15)*-2*5)\/(sqrt(5)*-3*3))**2.\nAnswer: 121\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891047003 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -20*o + 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 754213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305807903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -30. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45214296*f**2*p**2 - 25*f*p**2 + f*p - 97*f + 2*p**2 - 3 wrt f?\nAnswer: 90428592*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22. Which is the nearest to -1? (a) 1\/3 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n. Let p = 35 - 39.6. Let r = p + 5. What is the closest to n in r, -3, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-35) - 374\/(-5). Suppose n = 6*n - i. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.28 (b) 1\/4 (c) -11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 7:07 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 4, 1.89 in descending order.\nAnswer: 4, 1.89, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821326909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2490 = 7*t + 4*k, 0 = 5*t + 3*k + 2485. What is t rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4, -5*x = 2*n + 5396 - 21971. What is the remainder when n is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 125. Suppose -5*m = 5*d - 765, -g = -2*d + m + 183. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.6. Let z = -4 + 6. What is the nearest to 0 in z, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d - 2*c = -0*c - 124, 5683*c - 5681*c = 5*d - 26 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*b + 14*b - 133*b - 132*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - w + 188. Determine j(0).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-10)\/(-4) + -2)*2. Let o(v) = -4726*v**2 + 2 + 29*v + v**3 - 25*v + 4719*v**2. Calculate o(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/31 + 73\/341. Put 1\/7, 2, -11, b in decreasing order.\nAnswer: 2, b, 1\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/20979 and -22\/6993.\nAnswer: 20979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - -0.7. Let f = -6 - -5.91. Let y = 0.21 - f. What is the nearest to a in 0.2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*w**2 + 3 - 3*w**2 + w**2 + 4*w**2 + (2 - 2 + w)*(-3 + 3 + 2*w) + 57*w**2 + 619*w - 619*w.\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 11. Suppose -2*h = 1 - b. Suppose 2*n - 29 = 7*n - 2*l, 0 = -4*n + 5*l - 13. Sort n, -2, h in ascending order.\nAnswer: n, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, w: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -11*s**2\/2 - 26*s - 16. Let g be x(-7). Let f = -16 + g. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*h**3 - 218452*h + 83010026 wrt h?\nAnswer: 129*h**2 - 218452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -500 + 497. Let b(x) = -6*x + 3. Let n(k) = k - 1. Give h*n(i) - b(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/3 + 24*f**3 - 306*f**2 + 4760*f\/3 - 2600 = 0. What is f?\nAnswer: 3, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -336*h - h**2 + 0*h**2 + 337*h - 1 - 19*h**3. Suppose -4*o + 2 = 5*a - 5*o, 0 = o - 3. Determine d(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6982067815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(1 + -31))\/((-109)\/(82404\/2520)).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dffsffdq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2230*z - 2321*z + 8827 = 0. Solve -z*c - 32 = -93*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:46 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdhhhhhhhhhqd. Give prob of sequence qd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 96840 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + v)*(397 + 131 + 58) + 0*v + 2*v - v.\nAnswer: -1171*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.41 and 2117750?\nAnswer: -868277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(720)*-1 + sqrt(720))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -143. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/64)\/(1\/20). Suppose 4*h - 7 = -3*x - 0, l*x = 5*h. Is x at most 5\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55137, -222222, -500697, -890562, -1391817, -2004462, -2728497?\n\"Answer: -55695*u**2 + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16*v - 14*v = -91, -z = 3*v + 85. Sort z, -1, -6.\nAnswer: z, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**4 - 10*y - 5*y - 6*y**2 + 15*y wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.36 + -6.56. Which is smaller: k or -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 60. Let c be v(-13). Calculate the remainder when (9 - 2)\/(c\/150*-6) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2808671721069 and 0.1.\nAnswer: -2808671721068.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in centuries?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9646897 years?\nAnswer: 0.009646897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8634 or -17265\/2?\nAnswer: -17265\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.8 + 15.8103. Round v to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68.9 + 69.2. Sort 0.4, 0.1, x, -17 in increasing order.\nAnswer: -17, 0.1, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - m + 0*m)*(13 - 8 + 7)*(m**3 - 5*m**3 + 2*m**3)*(-18 + 26 - 23) to the form r*m**4 + k + g*m + q*m**2 + b*m**3 and give r.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2\/7 + 23553540*l\/7 - 46230770544300\/7 = 0.\nAnswer: 3925590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-6)\/4*-2. Let b = l - 4. What is the second derivative of -b*z**2 + 3*z**2 + 2*z**2 + z - 2*z**2 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 85. Let j(f) = f + 21. Calculate -4*g(z) - 18*j(z).\nAnswer: 2*z - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518 + 837. Let l = 333 - s. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = u, -27*c - 5*u = -25*c + 8 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 2167392*d + 587198510208.\nAnswer: 2*(d - 541848)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + y - 12 = 0, -u + 119*y + 90*y - 56*y - 635 = -0*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v + 150*v = 67*v + 689 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 9 = -9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynp when three letters picked without replacement from {r: 4, s: 1, y: 3, k: 2, p: 2, n: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*w + 31 - 2 + w**3 - w**2 + 111*w in the form i*w**2 + f + g*w + j*w**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 7*i**2 - 6*i - 9. Calculate w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 2 (c) 508 (d) -0.2 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -82*x + 3770. Let v be d(46). Sort v, -6, -47 in ascending order.\nAnswer: -47, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**3 + 2*w**2 + 2. Let g(c) = -45*c**3 - 11*c**2 - 11. Determine -2*g(z) - 11*x(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i + 1. Let y(r) = -r. Let j(a) = -a**3 + 10*a**2 - 10*a + 8. Let s be j(9). Let k(p) = s*h(p) - 2*y(p). Give k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p**(-2\/15)\/p)\/p)))\/(p*p**(1\/4))*p\/p**(-3\/4)*p\/(p*p*p**(-1\/2)*p))**26 assuming p is positive.\nAnswer: p**(-1222\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/33 and -5\/178071.\nAnswer: 1958781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -16, 1 in descending order.\nAnswer: 6, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/40 - 401*h**4\/12 - 160801*h**3\/12 - 83*h - 24. Let a(f) = 0. What is f?\nAnswer: -401, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22737535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 0*f**3 + f - 2*f**3 + (-15*f + 3*f - 2*f)*(2*f**2 - 2*f**2 + f**2) to the form x + k*f**2 + v*f**3 + l*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119269 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6724 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8850927 litres?\nAnswer: 885.0927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 1.3. Let u = m - 0.3. Let h = u + -0.70028. What is h rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-4)\/8*3. Let g = 3463\/6 + -573. What is the common denominator of g and (58\/(-12) - 0) + (-12)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let t(u) = 2. What is -4*t(o) + 5*w(o)?\nAnswer: 5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 734*g. Let x(z) = -z. Determine m(x(f)).\nAnswer: -734*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2101 divided by 191.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -18789.\nAnswer: -9394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32b - -1?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 90*l + 21. Let r(o) = -13*o - 3. Let g(t) = 4*n(t) + 27*r(t). Let f be g(-2). What is the units digit of (-2)\/1 + f\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*o + 20. Suppose -2*n - o = -3*n. Calculate the highest common divisor of 80 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 4*t + 80. What is the remainder when -95*(-1 + (-6)\/(-10)) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 54330*n.\nAnswer: -2*n*(n - 27165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q + 5*q + 3 - 5. Let a be s(-6). Find the third derivative of 8*l**4 - 6*l**a - 5*l**2 + 7*l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1985232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43846 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 36. Let j = w - 9. Solve j*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*m - 12 = -k, 0 = 5*k + 4*m + 12. Suppose k = 4*g + g - 90. 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 a be (1 - (-1590)\/8)\/((-37)\/148). Let s be -1*a\/4 + 10\/40. Let b = s + -137. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -546072241 to the nearest one million.\nAnswer: -546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 2:11 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 12:40 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 27 = 5*n, -4*p + 8*n - 71 = 3*n. Let j = p - -9. Suppose 0 = 5*h - 3*h - 2. Put -4, j, h in decreasing order.\nAnswer: h, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 5*w**2 + 13*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3337509 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = 4*w, -4*s = -3*w - 2*w + 26. Find the third derivative of 67*q**2 - 126*q**2 + 18*q**w + 35*q**2 wrt q.\nAnswer: 2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s + 23*s + 16*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277204 and 1258?\nAnswer: 4712468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -53. Let b = 4.2 + -4. What is the closest to 1 in b, 1\/6, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 2630147?\nAnswer: 2630145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112*i*z + 3*i + 11112*z wrt i?\nAnswer: -112*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 + 245. Let b = p - 65. Solve -5*i - b = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -17. Let u(j) = j - 6. Let i be u(6). Suppose 5*t + 4 = 3*y - i, 0 = -5*y + 2*t + 13. Calculate the lowest common multiple of o and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 2*u - 5 + 6 + (u + 3 - 3)*(-4 - 3 + 6) + 0*u + 0*u + 3*u.\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -877036 or 9?\nAnswer: -877036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -98, 0.3 in increasing order.\nAnswer: -98, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 12*f + 7. Let r be n(-12). Suppose 2*c + 5*q - 32 - 10 = 0, 5*q - 105 = -5*c. What is the highest common divisor of c and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14685 and 1180140.\nAnswer: 12981540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.5 - 9. Put -1\/3, -0.2, j in descending order.\nAnswer: -0.2, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.97 + -4.03. Sort 2\/3, -15\/2, z, 3 in ascending order.\nAnswer: -15\/2, z, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - -4?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:23 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**4 + 2*z**3 - 2*z. Let h(b) = -b**4 + b**3 - b**2 - b. Suppose -6*f + f = -15. Let g(i) = f*h(i) - n(i). Factor g(t).\nAnswer: t*(t - 1)*(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47038, 93984, 140930, 187876, 234822?\nAnswer: 281768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -2\/155, -3\/44, -0.01784?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94560 and 208032.\nAnswer: 1040160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 - 5*w - 1. Let p be f(4). Let l(t) = t**2 - 7. Calculate the lowest common multiple of l(p) and 1 - (-1)\/((-1)\/(-9)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13746 is divided by 3895?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, n: 1, r: 1, d: 2}. Give prob of sequence hd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 199*n**2 - 2400*n + 25. Calculate g(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:18 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) 0.21854 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 11) to base 9.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4093 - 11*l - 5715 + 1622.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j + 27. Calculate the remainder when s(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.5. Put -2\/13, j, 4 in ascending order.\nAnswer: -2\/13, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 57. Suppose 0 = 3*t - 4*t + m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*x - b - 2*b, -4*x - b = -12. Suppose 0 = -4*q - x*j + 40, -q - 5*j = -15 - 15. Solve 4*p = 4*t, -4 = -5*t + 6*t - q*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(11*(-2)\/(-11))*(-4)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533755 at least as big as 3533777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from qdqqqzdzedwddzzz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -1. Let p = 3.8 + -41.8. Let x = p - -36. Which is the closest to x? (a) h (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20411 by 11.\nAnswer: 20411\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126792*x = 126819*x + 2376 for x.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 136*u. Let v(b) = -b**2 - 4137*b - 4193*b + 8330*b. What is v(r(c))?\nAnswer: -18496*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 141348 - -7233.92\nAnswer: 148581.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -375474 (base 11) to base 10\nAnswer: -592860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbibkyggbyc. What is prob of sequence kc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71.5? (a) 336 (b) 0.2 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 392\/63 + 2\/(-9). Let f(i) = -i**3 + 5*i**2 + 9*i - 9. Let v be f(j). Solve 0 = 4*h + 2*r + r + 12, 3*h = -4*r - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 3*n - 252. Suppose 0 = -11*f + 20*f - n. Let z = -10 + 18. Calculate the lowest common multiple of f and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -2.6. Let w = 5 - t. Let y = 2.2 - w. Which is the closest to 0.1? (a) y (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**2 + 3 - 5980*s**4 - 11 - 14 - 10*s + 31 wrt s?\nAnswer: -143520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 11, -3, -21, -43, -69?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 = 46. Suppose 3*k = w + 16. What is the greatest common factor of 20 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*g + 1. What is the third smallest value in -9, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*x**5 + 2 + x**3 - 40*x**5 + 0 + 8*x**5 + 0*x**3 + 0*x**3 + (6*x - 2*x - 2*x)*(1 - x**4 - 1) - 2*x**5 + x**4 - x**4.\nAnswer: -2*x**5 + x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b - 0?\nAnswer: 44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 2615*t**2 + 2531*t**2 + 8*t - 2*t.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19*q - 5*q + 9*q. Suppose -23*w + 93 = -19*w - 5*d, -5*d = w - 42. Let g(c) = -126*c. Determine w*k(v) + 5*g(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z - 281. Let h(p) = -13*p + 187. Let b(u) = 8*h(u) + 5*x(u). Let a be b(22). Solve -2*q + 3*q + 2*c + 3 = 0, a*q + 3*c + 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204781013.409 - 204780564.408999138. Let t = -449 + j. Round t to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104383 * -10\nAnswer: -11043830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Suppose 2*d = 5*d + 2*t - 4122, 4*d - 5496 = -5*t. Let v(b) = 28*b + 1374 - d + 2*b. Determine v(u(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/2 + 2*m**3 + 2*m**2 + 32. Solve a(w) = 0 for w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.11+40.843258\nAnswer: 42.953258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5975975.\nAnswer: 5, 19, 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -623, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * 3904.55\nAnswer: 206.94115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-576930 + 69*a + 576930 - 2*a**3 - a**2)*(5*a - 2*a - 4*a + (4*a - a - a)*(-2 + 3 - 3)).\nAnswer: 10*a**4 + 5*a**3 - 345*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let h(r) = -431*r**2. Calculate h(w(t)).\nAnswer: -431*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/12 + 5\/12. Suppose -4*o - 4 = -5*g, 0 = 4*g + 9*o - 10*o - 1. Find l such that 2\/9*l - f*l**2 + g + 1\/9*l**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-9))\/(22\/33) + 7. Put 40, 2, s in descending order.\nAnswer: 40, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-2) - (-4 - 28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 8*n - 6*n + 10*n - 4*n + 12. Determine p(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 1. Let p be m(1). Let z(u) = 2*u**3 + u**2 - u. What is the lowest common multiple of z(p) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11853 - 10786.9. Let l = x + -996. Let f = l + -64. What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1293236226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/29))**(-3)\/(q\/q**(1\/4)*q**(-5))**21 assuming q is positive.\nAnswer: q**(10341\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 1084 + 812 = 0. Factor -49\/3*m**4 + 0 - y*m**2 - 3*m - 91\/3*m**3.\nAnswer: -m*(m + 1)*(7*m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 2. Let j be y(6). Let p be (-1)\/(-2) - 4\/j. Which is smaller: p or 4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -q - 3*a, -4*q - a + 87 = 0. Let c = q + -15. Let r = 32 - c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/60*u**5 - 1\/8*u**4 - 1\/3*u**3 + 0 + 4*u**2 + 0*u. Suppose -2*r + 0 = 4. What is q(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10999, -10998, -10989, -10966, -10923?\nAnswer: -10854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 - -3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14280297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:04 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202102120 + -202211?\nAnswer: 2201122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.828423 rounded to two decimal places?\nAnswer: -33.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -29*u + 9. Calculate n(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*2\/(-1). Suppose 5*f - 27 = -z. Suppose -2*t = t + f*w - 124, -2*t = -3*w - 51. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 7*m**2 - 2. Let q(l) = l**2 - 7*l**3 + l**3 + 2 + l**3 + 5*l**2. What is -5*q(s) - 4*y(s)?\nAnswer: s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -92937\nAnswer: -1\/30979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 3601 + 359 = 0. Calculate the remainder when 596 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335990111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2760 + 27563\/10. Suppose 4*d + 0*d = 128. Let s = d - 319\/10. Find the common denominator of w and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0 - 2\/15*l**6 + 1\/6*l**3 + 0*l + 1\/60*l**5 + 2*l**2 + 1\/24*l**4. What is the remainder when 49 is divided by r(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 - 6*r**2 - 230*r\/3 - 1850\/9.\nAnswer: 2*(r - 37)*(r + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13959.8 take away 1.0696?\nAnswer: -13960.8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-28)\/21*(-12)\/(-158)*50\/(-400)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-72)\/(-54) - (-4)\/6. Let h(w) = -7*w + 6. Let d(p) = p - 1. Let o be (-27)\/5 + (-4)\/(-10). Calculate l*h(c) + o*d(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37654358 divided by 233878?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -41, -56, -75?\n\"Answer: -2*r**2 - 5*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -986425, -1972845, -2959265, -3945685?\n\"Answer: -986420*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 274, 912, 2146, 4174, 7194, 11404?\nAnswer: 17002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9708 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h + 12*h - 30 + 18 - 3*h**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 852*v - 6. Let l = -82 - -80. Let m be p(l). What is the common denominator of 2\/24*m\/12 + 0 and -93\/46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -61*s**3 - 4*s**2 + 2*s - 6. Let d be r(4). Does 17 divide d\/(-78) + 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 2. Let y(v) = -11*v - 6. Let m(p) = 17*i(p) - 6*y(p). Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((3 - -1) + 1)*24\/(-75) and -37\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:22 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 526 and 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 6*w**2 - 7*w. Let t(r) = -43*r**3 + 100*r**3 - 13*r**2 + 16*r - r - 62*r**3. Suppose -1 = -4*i + 23. What is i*t(p) + 13*o(p)?\nAnswer: -4*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 17 + 11. Suppose c*s = 2*s - 18800. Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1674 and -3.\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 3. Let z(w) = 21*w + 12. Let k(d) = 9*v(d) - 2*z(d). Suppose 2*g - 3*y - 49 = 0, 4*y - 63 = -3*g + 5*y. Let i = g - 17. Determine k(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 37.9999816. What is n rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98344 and 639236.\nAnswer: 1278472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 54*z**3 + 2*z**2 - 2. Let m be t(-1). Put 2, m, 1 in increasing order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145142 + -2?\nAnswer: -145144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 185*n - 1599. Let c be t(9). What is the greatest common divisor of 2166 and c?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -75*l - 18. Let c(v) = 74*v + 17. Let p(t) = 4*c(t) + 3*d(t). List the prime factors of p(2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*m = -6546, 3*o - 2*o - 2*m = -1639. Let w = -2817 - o. Round w to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -281671 + 8?\nAnswer: -281662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfddbffddvddbdd. Give prob of sequence fbb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2 - 3*f**2 - 23*f**5 - 6*f**2 + 3*f**2 wrt f?\nAnswer: -1380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7578?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*o*t - 132*b*t**6 - 8*b*t**2 + 4*o*t**4 - 2*o*t + 78*t**2 wrt t.\nAnswer: -15840*b*t**3 + 96*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444 by 28.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82611177 = 4*j - 3*o, -3*o + 20652783 = 2*j - j. Let p = 14702792 - j. What is p rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*a, -4*d = a - 5*a. Let p be 4\/((-372)\/42219) - 2. Let b = -456 - p. Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1*sqrt(228)*6 + sqrt(228) - (sqrt(228) - (sqrt(228) - 2*sqrt(228))*-4)))\/(6*(sqrt(1452) - ((sqrt(1452) - sqrt(1452)*4) + sqrt(1452)))*-5))**2.\nAnswer: 19\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 times -5?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/15, -0.2, 0.4, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*c - 44, -82 = -5*d + 4*c + 2. Let k = d - 23. Let y be (2 - k)*(-6)\/9. What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6183715 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 11. Let l be (-4)\/(-18) + (-141)\/27. Let n be q(l). Suppose -n*j = -2*j - 572. What is the highest common divisor of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -91, -136, -181, -226?\n\"Answer: -45*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7793*n - 12 - 1 + 15 + 3*n**2 + 7710*n to the form q*n**2 + u + v*n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -11, 8, -1, -3, 70 in increasing order.\nAnswer: -11, -9, -3, -1, 8, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*h - 27, -h + 12*d = 4 - 10 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 37*x - 46. Suppose -230*o - 312 = -222*o. Calculate the remainder when 246 is divided by t(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -2556, -10, -5 in increasing order.\nAnswer: -2556, -105, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 67.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 5 - 5.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 873 or 2\/7?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2039.\nAnswer: 2\/2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 5*n + 4. Let t be h(-6). Let u be (6 - 0) + (-2 - t). Suppose b + 0 = u. Solve b = -2*p - p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 2, -2, -5 in ascending order.\nAnswer: -142, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -3 + sqrt(7)).\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1011001111110100001101001?\nAnswer: 1011001111110100001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-13 - -1) - (19 - 21). Let j be 30\/(-4)*96\/(-10). What is the highest common factor of o and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1008)*-1 - sqrt(7)))*-4 + -4 + -3)**2.\nAnswer: -312*sqrt(7) + 18937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-84)*(210\/75 - 4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36173*u + 36165*u - 4*u**3 + 3*u**3 + u**2 - 7 + 1 as g*u + r*u**2 + j*u**3 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 + 8 + (2 - 9) and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*r - 2 - 2*r**3 + 48*r - 25*r - 10*r**2 to d + a*r**3 + u*r**2 + n*r and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 59. Suppose 0 = -2*g - 14 + n. Suppose o + 272 - 193 = 4*k, 2*k = 4*o + 50. Solve k = r + g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -131268458, -131268457, -131268456, -131268455, -131268454, -131268453?\n\"Answer: f - 131268459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.1 - -5.1. Let w = u + 100.5. What is the closest to 3 in w, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -130080 (c) 18 (d) -1 (e) -4 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 44*f**2 - 2*f + 37*f**2 + 4*f in the form t*f**3 + c*f**2 + a*f + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/60 - b**4\/6 + 3*b**2\/2 + b. Let h(d) be the first derivative of f(d). Let k be h(-2). Solve w + k = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4429497.\nAnswer: 3, 31, 47629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o, -y - o = -0*o + 1. Determine k, given that -1\/2*k - 1\/4*k**2 - 5\/4*k**y + 2*k**3 + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121124 (base 6) to base 16.\nAnswer: 298c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51741.3 - -1611\nAnswer: 53352.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/2*(-5)\/(75\/(-9)). Let b(a) be the second derivative of 0*a**2 - 6*a + 0*a**v + 0 - 2\/3*a**4. Let w(n) = -n. Calculate b(w(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -f - 18. Let s = 54 - 49. Let k be 1\/((s\/50)\/((-2)\/(-4))). Solve -c - 3*c - 8 = f*p, -5 = k*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**7\/1260 - l**6\/360 + l**4\/3 - 4*l. Let u(c) be the third derivative of a(c). Find h such that u(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*o + 7 = -1, 2*o + 207 = -t + 404 - 201 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m - 54*m + 5*w - 20 - 13 = 23*m, 3 = -6*m + 3*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -86, -17, 409, -1 in increasing order.\nAnswer: -86, -17, -1, 0, 4, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-88)\/11 + 3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 42?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 3 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58570, 117117, 175664, 234211, 292758, 351305?\n\"Answer: 58547*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1 - 32 + 6*t + 45 + 7*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7134*q**2 - q + 2. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-2040))\/(4*(-6)\/60)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0226 - -87.4286. Let s = 0.406 - v. Are s and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1056)\/(-1496))\/((-10)\/(-255)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -1\/7, 5\/2, 5, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10059 or -50291\/5?\nAnswer: -10059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 12758985.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d*d**3)**(-21))**(1\/88) assuming d is positive.\nAnswer: d**(-189\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32191 divided by -49?\nAnswer: 32191\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 610220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Suppose -z + 23 = -v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**3 - 100256*s + s**4 + 79*s**2 + 100256*s wrt s?\nAnswer: 24*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4)*-1)\/((-11)\/(-66)). Let l be h - 3 - (-4)\/1. Solve -5*i + 11 = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11454885321 to the nearest 100000.\nAnswer: -11454900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2. Let r(z) = 2505319*z**2. Give m(r(v)).\nAnswer: 31383116458805*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(30\/(-2))\/3. Is x\/(-10) + (1754\/1)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.573776mm?\nAnswer: 0.000001573776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -135. What is the highest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 222 or 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14441 + -14426. Calculate the greatest common divisor of m and 1175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 32.66 (b) -0.1 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -900 + 726. Suppose 3*f = -4*k + 53, -k - 2*k + 4 = -f. What is the remainder when r is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a0 (base 12) to base 11.\nAnswer: -3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-384)*-66*-4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 147 - 447. Let r = m + -25. Suppose -v - r = 0, 3*u - v + 3*v = 458. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -6*u - 3. Let x be u\/(24\/28 + -1). List the prime factors of (-201)\/x - 2\/(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95411579 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: Let p = 51 + -48. What is the closest to p in 6, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -4.1, 1\/9 in decreasing order.\nAnswer: 1\/9, -0.2, -3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2446535249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267939, 535869, 803801, 1071735, 1339671, 1607609, 1875549?\nAnswer: 2143491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**3 - k**2 + 1. Suppose -4*h + 2*l = -14, -3*l = h + 10 + 4. What is the remainder when b(-1) is divided by (-16)\/(-4 - -2) - h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b**2 + 5. Let s(a) = 7*a**2 - 8. What is d(s(h))?\nAnswer: -784*h**4 + 1792*h**2 - 1019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 16. Calculate m(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**3 - 1\/60*t**5 + 0 + 69*t**2 + 0*t - 5\/24*t**4. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*i + 13. Suppose -5*f = i + 6. Let u be ((15\/(-4))\/(-5))\/((-96)\/(-256)). What is the third smallest value in 3, u, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -7109, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 57646428.\nAnswer: 172939284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - x**2 - x + 1. Let t(b) = -7*b**3 - 4*b**2 - 5*b - 2. Calculate -2*l(m) + t(m).\nAnswer: -5*m**3 - 2*m**2 - 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*-11 + (18 - (51 - 36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17225 and 1378.\nAnswer: 34450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctcc when four letters picked without replacement from crtcccrrrrttc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -90?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 + 16?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.2 (c) 5 (d) -2 (e) -188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -17. Let s be g*(-123 - 3)\/3. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/6 - 30701681*s\/3 - 942593216225761\/6 = 0. Calculate s.\nAnswer: -30701681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3589*b. Is p(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/199 + 407\/1791. Let g = -10 - -11. Which is the second smallest value? (a) g (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(85) + sqrt(85)*-3)*2)\/((sqrt(180) + (sqrt(180) - (((sqrt(180) + 1*sqrt(180))*-3 - sqrt(180)) + sqrt(180))))*2).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 + 468 = 10*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8255950 to the nearest integer?\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2496163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = 0, 0 = a - 3*k + 1 - 0. Let s = -72 + 92. Calculate the least common multiple of a and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 17 (b) 0.2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1831 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29386.\nAnswer: 2, 7, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 16*t - 50 = 8*t + 15*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b + 8 = 37*b. Let m(f) = -15*f**3 + 5. Let i(h) = 23*h**3 - 8. Determine b*m(c) - 5*i(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -406226046.123 + 39.7?\nAnswer: -406226006.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 212186 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-285224)\/4444 + 52 - (-1 - (1 - -10))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*y + 15 - 2 = 0, 0 = -n - 2*y - 9. Let l be (4 + -2 - 4)*n. What is the third derivative of -h**2 + 3*h**2 + l*h**5 - h**2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Let g be (q + -4)*(-1 + 2). Is 295 - -1 - (g - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -145, -140, -129, -154, -257?\n\"Answer: -7*w**3 + 45*w**2 - 81*w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 121*m**3 + 2*m**2 - 2. Determine w(1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -388 - -389. Let x = -0.45 + -0.05. Which is the biggest value? (a) r (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -28*i**2 + 13*i. Let f be m(10). What is f rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 130*j - 118*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - -5ff1?\nAnswer: 5fa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 11100?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/540 + 859*p**5\/90 - 737881*p**4\/36 + 633839779*p**3\/27 - p**2 + 241. Factor d(i).\nAnswer: -2*(i - 859)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*v**3 + 607747*v**2 - 214869434*v?\nAnswer: 1050*v + 1215494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12300421 + 10?\nAnswer: -12300411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose 2*q + 2*z = 7*q + 9, k = -z + 2. Let h = -147\/4 - -36. Is q greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5 + 6*h + 1 - 4*h - h**3 + 5*h + 4*h**2. Suppose 7*q - 34 = -3*q + 26. Give g(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 15. Suppose 72 = z*o - 0*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96300000 to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, 2, 93?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 5?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-8) - (-12)\/16. Let o(l) = 3*l - 2. Let m be o(p). Find the first derivative of -s + s + s**4 - 1 - 2*s**m wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550639 by 3.\nAnswer: 550639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1.3, 28, 4, 0, 2, -80?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15436.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 7617055*q**2 + 8.\nAnswer: -7617055*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 13) to base 16\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-863212.\nAnswer: 345284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 2. Let h be v(2). Let a be (-1 - h) + 4 + 5. Solve -a + 21 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 1\/60*s**5 - 1\/2*s**3 - 3\/8*s**4 - 6*s**2 + 0*s + 0. What is the units digit of l(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 11 + 13 = 5*b, -3*g = b + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/15)*b**(-3))\/(b*b**(-2\/9)\/b*b\/b**8) assuming b is positive.\nAnswer: b**(184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.93 + 0.07. Let i = -1\/21 - -8\/21. Are u and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2342 + 2342. Solve c - 4*v + 8*v - 1 = w, 15 = 2*c - 5*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1781*h**2 + 0 + 0 - 3981*h**2.\nAnswer: -5762*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14372 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47b73 (base 12) to base 13\nAnswer: -35034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, -1693, -3994, -6297?\nAnswer: -8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22659 divided by -581\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 1. Suppose -3*b = -t*b. Which is greater: -3\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 81*u + 78*u - 3*u**2. Let m(t) = 3*t**3 + 5*t**2 + 6. Let d be m(0). Let l(h) = 21*h**2 + 13*h. What is d*l(r) + 26*b(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*g = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tphhpthtppphptpztzp. Give prob of picking 1 p and 1 t.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + (-131)\/(-2). Suppose 5*j + h = c, -5*c + 63 = -j - 267. Let v be 16\/4 - (-1 - 1). What is the greatest common divisor of v and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129 - 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -11, 12, 45, 88, 141, 204?\n\"Answer: 5*n**2 - 2*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 399*x**2 + 35*x - 41. Give h(1).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:16 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.9 + -17.91. Let k = -4 - -3. Let s = k - g. Round s to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(52) + -4.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1332, 2663, 3998, 5337, 6680, 8027?\n\"Answer: 2*h**2 + 1325*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8276846, 16553693, 24830540, 33107387, 41384234?\nAnswer: 49661081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1103 + -1102.6831. Let t = w - -0.0021. Let n = -0.31900147 + t. What is n rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + l**3 - 4*l**3 - 2*l**2 to h*l**2 + s*l + f*l**3 + b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41679394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:23 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + n = 18, 53 = -4*y - 2*n + 65. Sort 82, y, -5 in increasing order.\nAnswer: -5, y, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 13}. Give prob of sequence ii.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*m + 5*m + 8, 3*m = k - 5. Which is smaller: -4\/73 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*f - 48*f - 4867 + 16 = 146*f for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163*w + 0 + 725*w + 1744*w + 0.\nAnswer: 1306*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.326 + -0.074. Let o = 1.4 + f. Let m = o + 4. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 442\/39. Let y = g - -3. Calculate the smallest common multiple of 8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let t = -698939 + 698938.14. Sort 3, m, t in decreasing order.\nAnswer: 3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**3 - p**2 + 4*p. Let r(j) = 4*j**3 + j**2 - 2*j. Suppose 5*v - 20 = v. Calculate v*r(l) + 3*s(l).\nAnswer: -l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2 - (1 - (-8 - 3)). Let y be 2\/o - (-20)\/(-24). Sort y, -2, 5, -21 in ascending order.\nAnswer: -21, -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**2 + 2*w**4 - w**2 + 6*w**4 wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5225\/24231 - 36\/197. Calculate the common denominator of -2\/451 and f.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 4, -7547, 5, -1 in decreasing order.\nAnswer: 5, 4, -1, -75, -7547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583566519.\nAnswer: 113, 14013863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*f + 229, -2*i + 4*f + 256 = 96. Let o = i - 80. What is the nearest to -1 in 3, -4\/5, o?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**46)**(-22)*(f\/((f**(4\/3)\/f)\/f*f))\/(f\/f**(-4))*f\/(f\/(f\/(f\/(f**(2\/11)\/f))*f)*f)*f*f**(-2) assuming f is positive.\nAnswer: f**(-66995\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 5*d**4 + 2*d**3 - 5. What is the third derivative of c(b) wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251 + 744 - 210)*(-b**2 + 3*b**2 - 7*b**2).\nAnswer: -1415*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-10))\/2)\/(8\/(-150)*-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236499, -473002, -709505?\nAnswer: -946008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t + 96*t = 1226602. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 340400, 3, 5 in decreasing order.\nAnswer: 340400, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/2760*(-23)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Let h(j) = 6*j + 7. Suppose 9 = -y + 3*d + 2, -18 = -3*y - 4*d. Let a = 27 - 29. Let o be ((-1)\/a)\/((-2)\/(-56)). Determine o*s(x) + y*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 18. Let p be -19*1\/((-45)\/(-22)). Let k = p + 80\/9. What is the nearest to -2\/5 in t, k, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213132032 + -10?\nAnswer: -1213132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2871 - -2871. Which is the fifth smallest value? (a) 4 (b) 8 (c) 0.01 (d) g (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*-3*sqrt(304) - (((1 + sqrt(304))*-3 - sqrt(304)) + 1*sqrt(304)*-3))**2.\nAnswer: -480*sqrt(19) + 121609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -13. Suppose a - 6 = -0*a + 2*f, -2*f - 12 = -4*a. What is the tens digit of (d - -1)*1\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 24. Let p be l(-6). What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 706716 - 2254?\nAnswer: 704442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 2*l - 8*l + 7*l**2 - 3 in the form d*l**2 + a + n*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2934034 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, -628, -8 in descending order.\nAnswer: 38, 4, -8, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 140?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1868 + -289?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) - -3*-1*sqrt(4455))\/((sqrt(44) + sqrt(11))*1*4).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (sqrt(1700) + sqrt(1700)*-2 + sqrt(1700))**2 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**3 - 3*j**2 - j + 1. Let k be x(-2). Let u be (-6)\/(-12)*(k - 1). List the prime factors of (-286)\/u*(2 + 14\/(-1)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 8 = 20*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 648635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -371, -545, -715?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8329\/49983 + 1\/33322. What is the biggest value in -1\/2, x, -26, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**3)\/y**(-1\/6))**(-11\/4))**(-4\/11))**(-12) assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-152)\/(-2)*(-6)\/(-8). Calculate the greatest common divisor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-2 - (-5)\/2). Let w = -596 + 836. Suppose 1287 + w = c*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*q - 1834*q + 3209*q + 20828*q.\nAnswer: 23182*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100138011 to the nearest integer?\nAnswer: 10007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (280140\/126)\/58.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Suppose -7*r + 2 = -l*r. Solve 5*x - r = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 117383812 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 61485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from ywwywywxxxxxxx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = 4*g - 2*u, 232 = -5*g + 4*u - 339. Suppose -3*j = -15, -3*j - 327 = -359*a + 356*a. Let o = a + g. Put -4, o, -6 in increasing order.\nAnswer: -6, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q - 1. Suppose 0 = 4*n + 5*x + 39, -2*n + 5*x = -0*n - 3. Let r = -5 - n. What is s(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81875 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30) + (-262)\/1965.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*t + 2*t = 15, 15 = -5*t. Suppose q - 8 = z*w, -2*q - 4*w + 28 = -6*q. What are the prime factors of 15*(-1 - 40\/q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 + 48 + (-46 - -87)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/3 less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**4 - b**3 - 2*b. Let v(i) = -9*i**4 - 18*i**3 + 36*i**2 + 180*i + 192. Let x(c) = -6*h(c) + v(c). Find j, given that x(j) = 0.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8.2. Let n = -1 - h. Let g = -0.1 - n. Which is smaller: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9.41, -3, -1\/32, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.086655 millennia?\nAnswer: 20.86655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3 + (-6 + 4 + 1)*(0 + 2 - 1) - 1 - 1 + 3 + (-7 + 0 - 17)*(3 + 1 - 6))*(-2*j + 0 + 0)*(j - j + 18*j**2).\nAnswer: -1764*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64 and 43310.0017?\nAnswer: 43374.0017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.142 * 10\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-4) + 2\/(-8). Suppose t*b - 3*b + 143 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, c: 12}. Give prob of picking 1 w and 1 c.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1440597, -2881208, -4321819, -5762430?\nAnswer: -7203041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 10950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73204.5803 take away -0.4?\nAnswer: -73204.1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4116520*b**5 + 1046421*b wrt b?\nAnswer: 82330400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431c (base 13) to base 16.\nAnswer: -2468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let c(d) be the third derivative of 7*d**4\/24 - 2*d**3\/3 - 10*d**2. Give -c(q) + 5*j(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.77199 and -0.02.\nAnswer: 0.0554398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.148.\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19.38 times 0.0722\nAnswer: -1.399236","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.946 - -1. Let s = -0.2 + i. Let z = s + 0.14599786. Round z to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14038006 to the power of 1\/2, to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 260*z + 255*z + 65 = 0, z = -2*a + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -211*j**2 + j - 2. Let h(z) = 422*z**2 - 2*z + 5. Give 2*h(u) + 5*m(u).\nAnswer: -211*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -274*(1 + (-9)\/6). Suppose -5*i + a = 32. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*-5938.85.\nAnswer: 13065.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71 and 118?\nAnswer: 8378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 139*h**2 - 13*h - 67*h**2 + 13*h - 61*h**2. Let g(w) = -4*w**2 + 2. Let q(p) = -8*p**2 + 5. Let y(o) = -5*g(o) + 2*q(o). Give y(l(a)).\nAnswer: 484*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 16*m + 4 = -n, 0 = 4*m - 4*n + 8. Solve -19 = 2*j + m*z, j - 3*z = 6 + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let z = x + 0. Let q = -2 - -7. Which is the smallest value? (a) q (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 6*n**2 - n + 3. Let j be i(-4). Is (-185)\/j - (-4)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 87860640.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92 - 26) + 51 + -1 + 23.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3\/3 - 9*u**2 + u - 3607. Give j(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -622\/13. Let o be (-24)\/40 + (-4)\/10. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349*b**3*p - 453*b*p - 4*p + 56414 wrt b.\nAnswer: -1047*b**2*p - 453*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 11 = -6. Put 5, v, 1 in ascending order.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h + 2*h - 834*f + 829*f - 26, -4*h - f = h + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232318?\nAnswer: 2, 116159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26314529.\nAnswer: 73, 547, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9020132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92200021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-20 - (-9 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t - 22892 = -564*t - 8914 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 1 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 403\/39 + 0 + 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2346 = -5*h - 103, 5*h - 1134 = -p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 = t + 24*y - 368, 2*t - 5*y - 5 = -12*y for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -39*q - 2781. Give z(-73).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3647*s = 3628*s - 190 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 92 = -78. Let q = -1.89 + 1.99. Sort q, i, -0.03 in decreasing order.\nAnswer: i, q, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 4. Let t be o(-6). Let b be (2*3\/(-2))\/(-3). Let h(q) be the second derivative of -q**3\/6 + 4*q. Let u(k) = -k. Calculate b*h(m) + t*u(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-2\/5))\/(k\/(k*k\/(k**(1\/4)*k)*k)))\/((k\/(k\/k**8))\/(((k*k**(1\/9))\/k)\/k)))\/((k**(-1))**(-28)*k**(-1\/12)*(k\/k**2)\/k) assuming k is positive.\nAnswer: k**(-2939\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 398*c**3 + 37*c - 202*c**3 - 201*c**3 + 0*c**3 + c**3 + 2*c**3 + (c - c - c**2)*(-3*c + 4*c + 0*c).\nAnswer: -3*c**3 + 37*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/12)*b**8)**(-26) assuming b is positive.\nAnswer: b**(-1235\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnnh. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.6 - 42. Let s = 17 - w. Let g = 0.1 + s. Which is the smallest value? (a) g (b) 0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t*y**3*z - t*y**3 + 36*t*z - t - 203*y**3 + 2*y**2*z + 2*y with respect to z.\nAnswer: 2*t*y**3 + 36*t + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((710\/3)\/(-5))\/(48\/(-216)) is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))**(1\/13)*(y**(-1)\/y)**(-48) assuming y is positive.\nAnswer: y**(1250\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 + 79*k**2 - 270*k wrt k?\nAnswer: -12*k + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 + j - 7. Let h be o(-3). Let f be 2 + (h\/2)\/(1\/4). Solve f = 3*b + 5*n - 20, b + b = -3*n + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wwpppbpdwdddwwd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-12))\/(1\/(-3)). Is 2 a factor of (u*7\/(-4))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14518254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9 + 0)\/((-2)\/3). Factor 0*j**2 + 0 + 0*j**3 + u*j**5 + 1\/2*j**4 + 0*j.\nAnswer: j**4*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 56. Calculate the remainder when u is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1384, -1441, -1498, -1555?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -226816*d**3 - 2*d**2 + 118*d*x + 125632526*x wrt d.\nAnswer: -680448*d**2 - 4*d + 118*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 6 - -3) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**2*r**4 + o**2*r - 6*o*r**5 - 46*o*r wrt r.\nAnswer: -84*o**2*r**2 - 120*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2\/11 (c) -7\/26 (d) 4\/3 (e) -48 (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19910\/(-36))\/(-181))\/(5*(-4)\/(-12)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a + 1. Let m(v) = -35 - 38 + 13*v + 76. What is -9*f(j) + 4*m(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1 - 11*l**2 - 4*l + 5*l - 45*l**2. Let o be r(1). Let p = -37 - o. Solve -p - 6 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(232\/261)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235106880 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 41\/2 of a micrometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2207 + -2202. Let y = 14 - 15.1. Sort r, 4, y in descending order.\nAnswer: r, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 - -107565389472.\nAnswer: 107565389509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - -4) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = -0. Let h = -1221 + 1241. What is the remainder when (4*(-15)\/h)\/((-3)\/z) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3288 = 5*h + 3033, 1574 - 4202 = -3*r - 48*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 46*p**3 - 2*p**2 + 2*p - 1. Suppose 0 = -5*v + 3 + 2. What is the tens digit of j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2508952821 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/5)\/f*f**(3\/10)*f**(-11\/7)\/(f*f*f*f**(-7\/2)) assuming f is positive.\nAnswer: f**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:22 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 734 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*t - 31, 30 = 5*t - 5*l + 40 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 129041733 - 129041733.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -f + 7, -31*f - 2*c = -36*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-3) - -3)\/3. Let n be (0 - a)*(-4)\/12. Let y = 7 - 4. Solve 3*t = y - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + 4*h - 2. Suppose 8 = -k + 3*k. Let q be n(k). Sort q, 0, 5 in increasing order.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 5. Calculate v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:40 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.43 from 0.02.\nAnswer: -2.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1792\/98 + 6 - (0 - (-4)\/14). Calculate the highest common factor of 2552 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(0 - 4 + 6)*(1 + 1 - 1)*(2*i + 4*i - 5*i + (-8 + 13 - 13)*(-3 - i + 3))*(-2*i - 2*i - i).\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/2520 + p**6\/540 - p**5\/360 + 3*p**3 - 23*p. Let x(s) be the second derivative of c(s). Factor x(b).\nAnswer: -b*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007814 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4314014 (base 5) in base 12?\nAnswer: -36301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r - 1 - 11*r + 2 + r**2. Let u(y) = y**2 + y - 2. Let i = 4 - 2. Let o be u(i). Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 738*l**3 - 46116*l**2 - 89304*l.\nAnswer: -3*l*(l + 2)*(l + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 125. Solve -3*q + o*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqi when three letters picked without replacement from uisiusqsusi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/24)\/(-5)*(-2 + -12*5\/(-120))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24313 (base 16) in base 4?\nAnswer: -210030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -102. Let w be (2 + -1)*o\/(-6). Solve 0 = -2*h + w*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 4. Let g be x(6). Let l(q) = -6 - q**2 + 2*q**g + 0*q**2. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, c: 1, e: 1, j: 1, z: 2}. Give prob of sequence zh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10780 = -17*r + 6900. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*16\/(-136)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.3, -98, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292298487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83868 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -56*s**3 - 23*s**2 - 62*s - 208. Is z(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 22*d + 9. Suppose -6 = 5*p - 26. Is h(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/18)\/(55\/(-40)))\/((-232)\/(-48488))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.009 - 0.049. Which is the closest to -1\/5? (a) 5 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 3*b + 4. Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 206*j + 10290. What is c(-50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 12\/7 (c) -551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -265654\nAnswer: 85\/265654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h**(-7))\/((h*h\/(h\/h**(-10)))\/h*h*h*h**(2\/5)))**3 assuming h is positive.\nAnswer: h**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 2 + 7 + (-18 - -14). Suppose -m = -2*d, 4*m + y*d = 25 - 1. Calculate the remainder when 37 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209748 is divided by 84?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034614 (base 7) in base 13?\nAnswer: -45790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -218?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-156)*68809\/316*(-3)\/18*-2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 12, -5 in descending order.\nAnswer: 12, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 216\/5*a**2 - 128\/3*a + 0 - 56\/5*a**3 + 2\/15*a**4 = 0.\nAnswer: 0, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 13 = -16*c. Let n be 0\/((2*(-2)\/2)\/c). Suppose -2*d - 5*h = -0*h - 26, -4*d - 4*h + 64 = n. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 4*v**4\/3 - v**3\/6 - v**2\/2 + v. Suppose 0*f = -2*f - 5*b - 7, 3 = -3*b. Calculate the least common multiple of 12 and j(f).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 2. Let q be z(-1). Let w be (-30)\/q*(-104)\/(-39). Is 5 a factor of (-15)\/(-25) + 44\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 - -181.9. Which is the nearest to 0.25? (a) h (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -1\/7, 2\/3, -28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/54 + a**2\/9 - 12*a. Solve v(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.289857 and -3.672812?\nAnswer: 3.382955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhehhhhvvhvenev. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253643880*m**4 + 159149*m + 76?\nAnswer: -3043726560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k**3 - 1195*k**2 + 1045*k - 230 = 0. What is k?\nAnswer: 2\/5, 1\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1800720, 1800713, 1800702, 1800687, 1800668, 1800645, 1800618?\nAnswer: 1800587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*q + 53, 3*q - 57 = -5*y + 2*y. Let x(m) = -2*m + 49. Give x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1748817*n - 855136*n + 1896059*n + 4169714*n.\nAnswer: 6959454*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6*(-1 + 11). Sort -4, -7, t in decreasing order.\nAnswer: -4, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4 + 0 - 4 + 4. Let y(n) = n + 3. Let j(r) = -3*g(r) - 4*y(r). Give j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -228610 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4147 - 4147 + 91*j)*(2*j + 0 + 0)*(0 + 0 - 1).\nAnswer: -182*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y - y + (4*y + 0*y - 2*y)*(-3 + 2 + 2) - 50*y - y + 5*y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2347 by 2.\nAnswer: 2347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -752 and -748 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 18 = -6*t + i, 3*t - 21 = 4*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 803 - 137)*(-4 + 3 + 2)*(-f**2 + 0 + 0).\nAnswer: 831*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 400087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -1000.4?\nAnswer: 1005.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*u - 269. Calculate the remainder when u is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174\/167 or 0?\nAnswer: -174\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13685 + 131064 = -11815*x - 63529 - 63467 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*o - 5903 = 0, -5896 = -3*d + 7*d - 4*o. Let j = d - -32493\/22. What is the common denominator of j and 4004\/(-2600)*2\/(-14)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - l**2 + 58*l - 239. Give c(4).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2202 = p, -p + 5*j = 4*p - 11025. Suppose -6*t + 2*t = -p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-2)\/8*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 + 2*m. Let b(t) = t**5 - 2*t**3 + 2*t. Let f(s) = -3*b(s) + 2*v(s). What is the second derivative of f(u) wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 3*u**2 + 3*u - 3. What is s(4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 9*o = -98*o + 3431 + 5479 for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 513097121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:00 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsa when three letters picked without replacement from swwwsasswwswaswww.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-36)*(-27)\/((-540)\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117*b**2*x + 78*b**2 - 6909*b*x + 217728*x + 1093 wrt b.\nAnswer: 234*b*x + 156*b - 6909*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08608 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 4, -24, -74, -152, -264, -416, -614?\n\"Answer: -m**3 - 2*m**2 + m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1, 13, 0.6934, -0.07, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/4080 and -13\/4210.\nAnswer: 1717680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:21 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 13*o - 52. Let a(g) = -174*g + 31. What is the hundreds digit of a(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 60*d**2 - d. Suppose 2*x + 79 = p, -x - 295 = -7*p + 3*p. Let i(b) = 36 + b - p + 37. What is g(i(q))?\nAnswer: 60*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i + 5*i + 23 = 0, -5*k = i - 115. Let r = k - 32. Let l = r + 19. What is the remainder when 18 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -286*u**3 + 109*u**3 + u**2 - u + 183*u**3 - 12 + (-2*u + 2 - 2)*(u**2 + 0*u**2 + 5*u**2).\nAnswer: -6*u**3 + u**2 - u - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3551207 by -71.\nAnswer: -50017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01028 and 2.\nAnswer: 1.98972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t. Let a = 12 - 3. Suppose -4*z + 32 = -4*s, -3*z + 4*s + 16 = -a. Let c(l) = -2 + 9 - z + 4*l. Determine j(c(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(-6)\/4*2*(296 - 185)\/(-333).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -38 + 28 - (0 + -6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -120502763.\nAnswer: -5\/120502763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 33. Let q = h - 164\/5. Let u = 3\/10 + q. Which is the second biggest value? (a) u (b) 2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-1420)\/(-50) - (-112)\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 5, 10, -5 in descending order.\nAnswer: 10, 5, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 15966.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 6. Let c be k(0). Let u(g) = g + 2 - 4*g - c + 2. Let l be u(-2). Solve 6 = 5*h + 4*i, -3*h + 11 = l*i + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (9 + 8 + -13 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596046 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let x(s) = -722 + 722 + 4*s. Give x(p(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 30 = 0. Let z = -15391\/12 + 1293. Find the common denominator of 356\/(-360) - q\/(-10) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5810 and 125\/10458.\nAnswer: 52290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**4\/12 - a**3 + a**2. Suppose 30 = -352*b + 357*b + 5*z, 2*b - 3*z - 12 = 0. Let x(m) = m + 5. Calculate b*x(f) + 5*t(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 12:40 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-6)\/(-33)). Let h = -35\/204 + 44\/17. Let l = x - h. What is the closest to l in 1\/3, -0.03, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1343 - 1352) + (21 + -1 - -2) - 36.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2875902 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*w**2 - 2 + 5)*((1 - 5 - 4)*(24 - 16 - 42) - 1 + 6 - 2).\nAnswer: 825*w**2 + 825","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*-26 + 5)\/(3\/24). Let k = z - -1983. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45180 - 45180 - 3626*m.\nAnswer: -3626*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(16\/4)*(-7)\/((-21)\/60)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -139. Let q = 0.07 - 0.67. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yst when three letters picked without replacement from {y: 3, g: 1, s: 1, b: 6, t: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(108)*-1)\/sqrt(12))\/(sqrt(6)\/sqrt(2)*-4))**2*-2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9925?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0 - 5*h**2 + 0*h + 1\/120*h**6 - 1\/60*h**5 + 79\/6*h**3 + 1\/24*h**4. Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 52151.\nAnswer: -52153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f - 83. Let i(r) = -2*r**2 - 16*r - 200. Let d(y) = 4*i(y) - 9*l(y). Give d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 222 (b) 400 (c) -3 (d) -2 (e) 1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) -1\/6 (c) -4\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 57 = 50. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -920a1 (base 11) to base 5.\nAnswer: -13301132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 + 7031*z**2 + 84356*z.\nAnswer: z*(z + 12)*(z + 63267)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5*g - 2. Suppose 10*o = 4*o - 18. Let x be q(o). Solve -x*h = -3 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -19. What is the smallest common multiple of 8 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8218904 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480 = -44*l - 43*l + 47*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 + 12*n**4\/5 - 28*n**3\/5 - 12*n**2\/5 + 8*n\/5 = 0. What is n?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33587*f = -101*q + 33591*f - 723, -5*f = 3*q + 1 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 + 34772*n - 382008 = 0.\nAnswer: 11, 8682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (2 - (5 + -5)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -658.885 - -664. Round v to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-36807\nAnswer: -184035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5135355 = 5*a - 3*w, -2*w - 2054148 = -2*a. Suppose -3*g = a - 10927069. Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a*a**29))\/a**13 assuming a is positive.\nAnswer: a**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*h - 367 = 0, -2*h + 3115 = 7*l + 2*l. Calculate the remainder when l is divided by 112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/21 + i**6\/15 + 406*i**5\/5 - 2561*i**4\/4 - 2815*i. What is the third derivative of x(l) wrt l?\nAnswer: 120*l**2 + 48*l + 9744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/120 + d**5\/10 - 7*d**4\/24 - d**3\/3 - 38*d**2. Let m be 10\/(-3)*18\/(-12). Calculate v(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 4*p = -60, 38539*g - 26 = 38540*g + 5*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7124 = -501*t + 227*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*t = -1602*t + 799*t + 98 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7962 is divided by 762.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 4*a**3\/3 + 11*a**2\/2 - 11*a. What is the first derivative of c(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccciciccccccccicccw?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -708 and -26666.\nAnswer: 18879528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.76975 decades to years.\nAnswer: 607.6975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*(k\/(k\/(k\/(k**8*k))))\/k*k))*(k**(1\/4)\/k)\/k)\/((k\/k**1)\/(k*k**7*k*k)))**(7\/4) assuming k is positive.\nAnswer: k**(7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - ((-946)\/44)\/43?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61238926 and 81507?\nAnswer: 183716778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f. Suppose 7 = 5*b - 3. Let t(l) = 2*l + b*l - 5*l. Calculate s(t(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d + 22. Let b(l) = l**2 + 2*l - 4. Let f be b(2). Let z(a) = -54*a - 67. Let m(r) = f*z(r) + 11*t(r). What is the derivative of m(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 338543\nAnswer: 135417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380\/11 - -404\/11. Suppose -3*w - 27*q = -24*q + 3, 0 = 4*q + 8. Is w at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 55?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27, 59, 107, 177, 275?\n\"Answer: b**3 + 2*b**2 + 19*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -8*f - 37. Suppose i = -2*s + 860, -5*i + 314 = f*s - 976. List the prime factors of s.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 25*l**2 + 11*l + 8. Calculate the remainder when g(-12) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -103?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, -1\/8, 3\/107, 7 in descending order.\nAnswer: 7, 1\/3, 3\/107, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 3*b)*(-8 + 5 + 5)*(2 + 1 - 5 + (4 - 4 - 2)*(2 - 1 - 3)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 629 - 716 - (15 + 0)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1240479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20998673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, -261, -420, -597, -792?\n\"Answer: -9*g**2 - 114*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19879*n + 19896*n + 374 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -u - 7*q + 119, 0 = -3*u + 4*q + 357. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238.1? (a) 10 (b) -1\/12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23275226 by 26.\nAnswer: 895201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -75971, 8 in decreasing order.\nAnswer: 8, 2\/3, -75971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:57 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*a - 1871*a + 3779 + 60621 = 0 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*j + 380, -258 = -2*h - h - 3*j. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3079, -3076, -3071, -3064?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/(-38) - (-168)\/(-21).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*o**3 + 3*o + 0*o - 3*o.\nAnswer: -689*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 765518.9 to the nearest one hundred.\nAnswer: 765500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29*0.263\nAnswer: -7.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-5*sqrt(153)*3)\/(-3*sqrt(900)*-1)*4)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*h + 2*i, 11*h - 12*h - 3*i + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13f7ca (base 16) in base 9?\nAnswer: -2414070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*y = -6*n + 567, n - 116 = 2*y. Let d = -571\/5 + n. Which is the nearest to d? (a) 2\/19 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0614 + -23.7894. Let l = 24.5 + a. Round l to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 142 (b) 822 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.25. Let r = -0.7 - o. Let d = -5753 - -5756. Which is the biggest value? (a) r (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73669956 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 4. Let w = -9 - f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from {v: 3, a: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 7 + 403*i in the form v + y*i and give y.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -882*j + 879*j - 1775, 5*r + 5*j + 2225 = 0. Put 4, 3, 1, r, -5 in ascending order.\nAnswer: r, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + -46.92. Let o = h - -46.999954. Round o to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/23)\/a**(-1\/18)*a*(a**(1\/9)\/a)\/a*a*a*a**(-1\/14)\/a assuming a is positive.\nAnswer: a**(88\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/72*-5*-6*(-4)\/40.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 55\/4, 0.5, 4\/7, 5155?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 335 = 4*k - 39 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112210 (base 3) in base 13?\nAnswer: -acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3 + 314375*b**2 - 3144205*b + 2829825 = 0.\nAnswer: -62885, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -95. Suppose 14*n - 13*n - s = -33, -4*n - 3*s - 111 = 0. Let w = i - n. Sort -1, -4, -5, w in decreasing order.\nAnswer: -1, -4, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(171) + 0) + 2 + -4.\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-1 + sqrt(7) + 3).\nAnswer: -15*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 196 = 9*h. Suppose -13*s - h*s = -36366. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33644, 67292, 100942, 134594, 168248, 201904, 235562?\n\"Answer: w**2 + 33645*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102590696.\nAnswer: 2, 13, 73, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -84. Let y be t\/(-4) + (-2)\/4. What are the prime factors of 1*(-1 - -4) - y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(84)*-1)\/sqrt(3)*-6)\/((sqrt(32)*-2*-3 + sqrt(32))\/sqrt(8)*-6).\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548.537mg in nanograms?\nAnswer: 4548537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) + sqrt(250)\/sqrt(5))*-5)\/(sqrt(10) + (sqrt(640) - (sqrt(640) - sqrt(640)*-1)) - sqrt(10))*4 + 1)**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - 7*n**5\/60 + n**4\/4 + n**3\/2 + 20*n**2. Let d be j(6). Solve 5*f - d*h = -0*h + 11, 5*h - 35 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 80*d + 113. Let f(i) = -240*i - 337. Let o(x) = 3*f(x) + 8*m(x). Differentiate o(n) wrt n.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2, 1\/9, 7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26*3\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 721136.6l?\nAnswer: 721136600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 107. What is the closest to 1 in -3, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2 + 4*i. Let h(n) = 80*n**2 - 35*n. Let d = -183 + 179. Let z be (-42)\/9 + d\/(-6). Give z*h(r) - 35*k(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 + 44\/10. Let y be -3 - (-1 - 5) - 3. Solve 21 = 2*h - 5*q, o*h + 5*q + 15 + 18 = y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115770*1.1\nAnswer: 127347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.1. Let w = t - -0.3. Let d = -4.88 - 0.12. What is the third biggest value in 1, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16497.2 and -0.5.\nAnswer: 8248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/80 - 7*d**5\/40 - 15*d**4\/16 - 9*d**3\/4 + 2*d**2. Factor j(b).\nAnswer: -3*(b + 1)*(b + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267554 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584231?\nAnswer: 19, 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 94792?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, z: 7}. Give prob of sequence zzkk.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -25\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqqyqqvqyqyvvqyvy. Give prob of sequence yvv.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3521786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33476*p = -33600*p + 1299 + 4033 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-77)\/(-44))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65225 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + d**3 - d**3 + 5*d**3 - d**2 + d**2 + (5 - 4 - 3)*(5*d**3 - 2*d**3 - 2*d**3) + 3*d**2 - 3*d**2 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrrrjjjr. What is prob of sequence rjjr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1, 2\/41, 2, 4, 347 in descending order.\nAnswer: 347, 6, 4, 3, 2, 1, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(242)*1 + 4) - (-4*sqrt(242)*-3 - sqrt(242)*2*6))**2.\nAnswer: 176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-36)*-4 - -27. Sort 5, v, 3 in ascending order.\nAnswer: 3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/40543500 and 169\/30?\nAnswer: 40543500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-147) + 16\/42. Put p, -1, -0.3, 0 in decreasing order.\nAnswer: p, 0, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (43 + -46 + 7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41876 rounded to 2 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222862123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -106, -3 in increasing order.\nAnswer: -106, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)\/(b\/(b\/(b\/b**(-18))))*(b\/b**(-11))\/b**(-1\/20) assuming b is positive.\nAnswer: b**(-379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - 4*n)*(-1 + 1 + 2*n)*(-4*n + 15 - 15)*(-1 + 1 + 1).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 3. What is q(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 - 40. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357284919 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -14*c - 49 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 112 + 115 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*-2*(-2 + 3\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 272\/40)\/(4\/5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279901.\nAnswer: 113, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {e: 3, h: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {z: 9, m: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 82*i**2 + i - 1. Suppose -w + 5*w = -3*r - 356, -2*w + 4*r - 178 = 0. Let k = w + 90. Is v(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c8104 (base 13) in base 10?\nAnswer: -1474360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 5}. What is prob of sequence eeee?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/2 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (42 + 3 + 4\/6)*(-116 - -452)?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 893.2835 micrometers?\nAnswer: 0.08932835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**3 - 27*o**3 + 53*o**3)*((1 + 0 - 3)*(17*o + 16*o - 18*o) + 2*o - 2*o - 2*o).\nAnswer: -1280*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/22 - i**4\/2 - 104*i**3\/33 - 36*i**2\/11 + 94*i - 1. Find q such that k(q) = 0.\nAnswer: -2, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7530 is divided by 2409.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 32. Let l be p(-13). Let j be l\/((-105)\/6) + (-384)\/(-15). What is the tens digit of (-12)\/78 - (-758)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4836504 divided by 6\nAnswer: 806084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 5*c + 5. Let w be k(7). Let f be (-6)\/w - 5\/(-6). What is the third smallest value in 0, f, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215 or -2358\/11?\nAnswer: -2358\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4 + 0*o**4 + o**4 - 5*o**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2900)\/(12 + -13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 3*d + 0*d)*(2 + 7 - 5) in the form c + v*d and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 60. Let c be 13 + -2 + 1 - 4*1. Let f(u) = -6*u - 90. Let q(m) = c*i(m) - 5*f(m). Let t(v) = v. What is t(q(a))?\nAnswer: -2*a - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:05 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/6 of a hour?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*h = -9, -12 = -g + 3*h - 7*h. Suppose g = y + 4*y - 100. Let k = 8 - 0. Calculate the highest common divisor of k and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10*-1)\/(24\/(-372)). Calculate the greatest common factor of 31 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-12))\/((-106)\/(-954)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.6252l in millilitres?\nAnswer: 192625.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356317037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 2*(-40)\/128?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -9. Let q(d) = -3*d. Let h(b) = -18*b - 1 + 1 + 20*b. Let t(k) = w*h(k) - 3*q(k). Let u(i) = i. What is u(t(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*f**2 + 8*f**2 - 2*f**3 - f**2 + 81 wrt f?\nAnswer: -6*f**2 + 178*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*u - 100388, 1083*b - 200776 = 1079*b - 2*u. What are the prime factors of b?\nAnswer: 2, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 531\/4*x**3 - 3\/8*x**4 - 396*x**2 + 1581\/4*x - 1053\/8.\nAnswer: -3*(x - 351)*(x - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11223833 bigger than 123462158\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(7\/(-70)*-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = c - 72763, 4*o + 92935 = c + 20172. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.4, -0.13, -3\/11, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*k = 5*k + 29, 2 = k. Let s(t) = -t**2 + 107*t - 705. Let x be s(94). Calculate the greatest common divisor of x and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -933.600274 from -436.\nAnswer: 497.600274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 8*y - 10*y - 2, -3*b = -4*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2539639956 or 1?\nAnswer: 1\/2539639956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/151887 and -37\/1923902?\nAnswer: 5771706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-25)*40\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)*y\/((y*(y\/(y\/(y\/(y**(-4\/3)\/y))))\/y*y)\/y))**(6\/11))**(1\/29) assuming y is positive.\nAnswer: y**(-4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 258 = -3*k - 4*c, -3*c = -4*k + 351. What is the remainder when k is divided by 67\/5 - 4\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -0.5, 0.4, 80, 1, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let x = q + -9. Let o = x + 6.5. What is the smallest value in o, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 97, 0.31, -28\/3, -0.1?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t**4 + 101667 - 2*t**3 - 2*t + 0*t - 101662 to b*t**4 + r*t**3 + f*t + n*t**2 + q and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z + 2 = 3*r, 3*z = 4*r + 4. Let s(u) = 20*u - 3. Is s(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4 + w**2 - 1 + 3*w + w**2. Let b be t(-6). Determine d so that -18*d**2 + 17*d**2 + 4 + 27*d**2 - 28*d**3 - b*d**4 + 19*d**2 + 28*d = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1608*c + 8456 + 8460 - 16916.\nAnswer: 1608*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-373071\nAnswer: -14922.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**9\/(u\/((u\/(u\/(u*u\/u**(2\/15))*u))\/u)*u**(-2\/3)*u*u) assuming u is positive.\nAnswer: u**(-13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 1, c: 2}. What is prob of sequence kfc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 12. Let s(a) = -a**2 + 3*a. Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 + 146134*y\/13 - 47852236\/13.\nAnswer: 2*(y - 326)*(y + 73393)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**3 + 87 + 64 + 16*w**3 - 35*w**3.\nAnswer: w**3 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*p + 9 + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 127850.08.\nAnswer: 767100.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70016038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vovfbivvovovvioofvoo.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 4\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35958, -72014, -108238, -144714, -181526, -218758?\nAnswer: -256494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*r = 63 - 26, 11 = -j + 3*r. Let p be (5\/j)\/((-17)\/(-136)). Let l = 0 - -0.04. What is the nearest to 1\/5 in l, 5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 7, e: 9}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 13*s**2 + 14*s - 10. Suppose 29*w = 28*w, 0 = -3*d - 2*w - 42. Calculate x(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5505 - -553?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -15282672.\nAnswer: 6113068.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*((-4 + 2*u + 4)*(-17 + 10*u + 17) + 19*u**2 - 18*u**2 + 22*u**2) as k*u + j*u**2 + g and give j.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23746*k**3 + 23802*k**3 - 3*k + 0*k + 3*k.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 5*y**3\/3 - 3*y**2\/2 - 2*y - 2. Let i(v) = 15*v**2 - 10*v - 7. Let j be 1\/(-3)*0 + 7. Let p(q) = j*s(q) - 2*i(q). Give p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 44 = -31. What is the tens digit of 16\/40 - (-339)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - b - 2 = -3*b, 4*b - 28 = 5*h. Let d be (h\/6)\/((-1)\/6). Calculate the remainder when 30 is divided by (-2)\/d - (-65)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -28*j - 113 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166061*n**2 + n - 217109?\nAnswer: 332122*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 169196 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*f + 726889 + 1360929 = 0. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*q - 4*a + 936, 2*q = 2*a + 360. Suppose q = 8*y - 16. What is the least common multiple of (0 + 2)\/(-2) + 16\/2 and y?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*i - 14, -2*i = -5*d + i - 4. Is 18 a factor of (9\/d)\/((-5)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k = -3*s - 38*k - 74, 3*s = -2*k - 70 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311445260 and 1220?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Suppose 55*y - 50*y - 345 = 0. Let w(p) = -y + 69 + 27*p. Determine w(d(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 131. Suppose -x + 3*i - 9 = 0, -i + 3 = 8*x - w*x. Suppose x = 7*v - 2425 + 843. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:47 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 13*c**3 + 164*c**3 - 55*c**3 + 0 + 1 to the form h*c + f + x*c**2 + s*c**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/320)\/((-9)\/24).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s**2 + 4*s)*(6 - 6 - 8*s) + 2*s**3 + 15*s**3 + 16*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-192)\/(-8)))\/((-2)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304395 divided by 101465.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5852 and 420?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -38*r - 16. Let j be m(6). Let s = 561 + j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -2. Let p be ((-2)\/16)\/((-2)\/i)*-1. What is the nearest to p in -0.4, -5, -0.04, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:47 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.0114 - 106. Round a to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 86*o**2 + 15*o - 15. Let v be d(1). Suppose -15*h + v + 94 = 0. Solve -3*y - h = -8*y - n, 4*y + 3*n = 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + -4.3. Let x = -1.1 + 1. Let q = x - j. What is the nearest to q in -0.5, -4, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -4*b - 44. Solve 10 = 2*n + b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/6543 in 0, 0.3, -47\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x + 4*q, -5 = -x + 3*q. Let t(u) = 594*u - 7. Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 207*x**3 + 5103*x**2 - 51597*x + 166698.\nAnswer: 3*(x - 21)**3*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z - 8 = -4*k, 4*k - 9 = 3*z. Let n(q) be the second derivative of 0*q**2 - 7\/20*q**4 - 3\/20*q**5 - 1\/5*q**k + q + 0. Factor n(r).\nAnswer: -3*r*(r + 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37127846 smaller than -37127849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 - f - 1. Let z(p) = -6*p**3 - 5*p**2 + 6*p + 5. Let d = 9 + -4. Let n(s) = d*r(s) + z(s). Factor n(g).\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f + 29*f + 1388 = -2022 + 1524 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 16 = 5*m, 2*f + 7 = -2*m + 3*f. Let z(r) = -24*r - 7. What are the prime factors of z(m)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 9*p + 16. Let z be d(-7). Let r = -0.57 + -0.13. Let w = -0.4 - r. Which is the second biggest value? (a) w (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from {r: 3, f: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 38*l**2 + 210*l**2 - 17*l**2. Let o(n) = 2*n**2. What is o(s(d))?\nAnswer: 106722*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s + 257. Let r(g) = 16*g + 216. Give -5*i(b) + 6*r(b).\nAnswer: 16*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3020520240 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + (-15933)\/(-752))\/(((-28)\/72)\/(-7))?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-78)\/182*2\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 8*i**2 - 5*i - 10. Let u be h(7). Solve u*s = -2 + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrggrrg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f**3 - 17*f**2 - 17*f - 17. Let m(o) = -o**3 + 29*o**2 - 6*o + 1. Let r(z) = 24*z**2 - 6*z. Let l(j) = 6*m(j) - 7*r(j). What is 6*b(k) + 17*l(k)?\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1227 - -2709. Suppose w - b = 191 + 109, -4*b + i = 5*w. What are the prime factors of w?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -38.13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*m - 12, 140*l - 5*m - 467 + 2147 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1283.028 millennia?\nAnswer: 15396336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 2*j**7\/105 - 7*j**6\/40 + 379*j**3\/3 - 685*j**2. Differentiate l(r) wrt r.\nAnswer: 16*r**3 - 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**3 + 5*j**2 + 0*j + 0*j**6 + 0*j**4 + 1\/84*j**8 - 1\/20*j**5 + 0 + 0*j**7. Find the third derivative of c(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43092957 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 3*n = -30*s - 9*s - 18*s + 79, 2*s - 5*n - 17 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/8)*u**(-3))\/((u\/u**(2\/9))\/u)**40 assuming u is positive.\nAnswer: u**(469\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 45 = 13*c. Solve -j - 5*r - c = 0, j + 3*r + 3 + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from bbeeebeeeb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from ccscssssmc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 156?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-15)\/5)\/1. Which is bigger: k or -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = 4*h + 12, -5*w = -2*h + 22. Suppose -5*y = n - 19, 4*y + 3*n = 3*y + h. What is the highest common divisor of 16 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86445172 divided by 4.\nAnswer: 21611293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1343, -2715, -4087?\nAnswer: -5459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51355401 (base 6) in base 12?\nAnswer: -5b2b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*o + 5)*(-4*o - o + o) + 1 - 1 + o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -9*y + 4*y + 41, -y + 28 = 3*x. Suppose 4*w = x*w + 10. What is the units digit of (1 - (2 + w))*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = 3*o + 18, 30 = -4*o - 9*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(140) + sqrt(140) + sqrt(140)*1 + sqrt(140)) - sqrt(140))*6)\/(-6*-1*sqrt(448)))**2.\nAnswer: 405\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/2*y**3 - 1\/60*y**5 + y + 0 - y**2 - 1\/12*y**4. Let x(p) be the first derivative of w(p). Calculate x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42904 less than 3279090?\nAnswer: 3279093.42904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h - 0*h. Suppose h*s + 2*s = -2*f + 8, 2 = 3*f - 4*s. Suppose 3*c**3 - 3*c**4 + c**3 + 4*c**4 - 4*c + 3*c**f - 4 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 15660 = 382*t + 44*t - 120*t for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 396 = 132 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*a - 127*a + 1560 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*b + 3*b + 5, 3*a - 8 = 2*b. Calculate the remainder when 99 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-17\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 23. Give r(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 - 15 = 5*z, 2*c + 2 = -4*z. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - y - 233 = -2140, 0 = -i - 5*y + 491. List the prime factors of i.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4 - 6. Let z(x) = -2*x**2 - x**3 + 7*x**u - 5*x + 3 - 7 + x**2. Suppose 5*k + 0*v - 25 = -v, -4*k = 5*v - 20. What is z(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 15 - 17. What is the nearest to u in -0.1, 3\/2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + q = 3*f, 0 = 3*f + 5*q + 14. Let j(b) = -f*b**3 + 1 + 2*b**3 - 3*b**3. What is the units digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)\/((-19)\/19). Let k(h) be the third derivative of -h**5\/30 + 5*h**4\/24 + 4*h**3\/3 - h**2. Let l(d) = d + 1. What is u*k(a) + 6*l(a)?\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9991 is divided by 616.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 0*h**3 - h**2 - h**2 + 0*h + 4*h**3 as s*h**3 + j*h**2 + t*h + n and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 802 + -799. What is the third biggest value in 19, 0.5, -2, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30351\/65802350 - 1\/28001. Let j = v - 90479\/9400. Let l = -19 - -3. What is the common denominator of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(275) + 1))**2 + sqrt(275) - (sqrt(275) - 3*(sqrt(275) + 0)**2).\nAnswer: 160*sqrt(11) + 5241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -70, -94, -138, -208, -310, -450, -634?\n\"Answer: -s**3 - s**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381660154?\nAnswer: 2, 7, 2473, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(1151 + 15*p - 1151).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o**2 + 11*o - 6. Let b(r) = -r**3 + r - 1. Let v(i) = b(i) - j(i). Let x be v(7). Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 20*z - 173. Let d be o(10). Let l = -383 - d. What is the highest common factor of 630 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 12. Let i be n(-8). Let l = -8 + i. What is the units digit of ((-14)\/(-4))\/((-2)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285 - -817. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -1257?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25074, 101674, 229334, 408048, 637810, 918614?\nAnswer: 1250454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552329394?\nAnswer: 2, 3, 92054899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064709 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 55. Which is the closest to -0.3? (a) -2 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-162)\/(-24)))\/(1\/1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/3)\/(-2*4))\/(135\/108).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6817209 and 3.13?\nAnswer: 2.4482791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 6 (c) 2\/15 (d) -0.1 (e) -545\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 647, 7324, 25415, 60626, 118663, 205232, 326039?\n\"Answer: 951*n**3 + n**2 + 17*n - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0 + 0 = 15*s - 15*s + 2*h, 0 = -10*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:13 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95 - 92) + (-6 - 1) - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*x - 28*x. Factor 2\/9*t**2 + x*t + 0.\nAnswer: 2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 2*g**2 + 3*g + 3. Let c be h(3). Suppose -5*y - 597 = -4*j, 588 = 2*j + 2*j + 4*y. Let w = j + -147. Solve -2*r - c = -w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0 + (-2)\/(-10)). Let d = -61.5 - -61. Let v = 3.4 + -3.5. What is the nearest to v in g, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -25 + (0 - 4) + (-5 - 0) + 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366822 and 15822?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -8*1\/2. Let y(r) be the second derivative of 1\/3*r**4 + 5\/2*r**2 + i*r - 1\/20*r**5 + 0 + 1\/6*r**3. Give y(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 208464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6821453 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*n + 2*n. Let t be ((-14)\/4)\/(0 - (-2)\/(-44)). Calculate the greatest common divisor of t and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34272 is divided by 961.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**(42\/5)*(q**(-1\/2))**(2\/21) assuming q is positive.\nAnswer: q**(583\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 24165*y**3 - 6*y**2 + 7. Let q be m(5). Let c = q + 1879518. Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let y be ((-343)\/(-14))\/(-7)*-2*3. Let h(v) = v. Let r(p) = 10*p**2 - 7*p. Let i(n) = y*h(n) + 3*r(n). Determine i(k(x)).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f*f**(-12\/5)\/f)))\/f)**34 assuming f is positive.\nAnswer: f**(-748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**6\/240 + w**5\/40 + w**4\/24 - 4*w**2 - 9*w. Let z(v) be the first derivative of m(v). Find g such that z(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344 - -350. Solve 4*k + 2 = -m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 614*f = 613*f + 55, -5*f = -5*k - 55 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1419, -6473, -14879, -26637, -41747?\nAnswer: -60209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 76.3. Let i = 10.31 + -0.91. Let g = v - i. What is g rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552157439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*r**3 + 8*p*r + 16187790*p + 110578*r wrt r.\nAnswer: 3*p*r**2 + 8*p + 110578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084444665 rounded to five decimal places?\nAnswer: 0.00844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5940 and 67\/50?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 29 - 71. Let o = d - 16. Suppose 0*n = 2*n - b - 939, -3*b + 1853 = o*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 10*d = -40 - 716. Calculate the remainder when (-2)\/(-2) - (-2 + -36) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17 + 24 + j + 2*j - 2*j. Determine b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -13, -1, 22, -4, -40.\nAnswer: -40, -13, -4, -3, -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18487519.\nAnswer: 18487519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10126 - 4?\nAnswer: -1012a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000026213 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(9\/(-84))*(-12 - -9). Let q be 395\/79 - z\/(-6). Which is the biggest value? (a) 3.2 (b) -1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from pepppkpwppewp?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3099, 3325, 3703, 4233, 4915?\n\"Answer: 76*l**2 - 2*l + 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4244782 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833594058?\nAnswer: 2, 1416797029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:18 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 + 31*t - 2*t**2 + 13*t**2 as p*t**2 + i*t + u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16 = 0, 85*s - 82*s = q - 19. Let c(o) = -o**3 + 10*o**2 - 25*o + 10. Give c(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 18*a - 18. Let v be b(-14). Suppose r = -f - 10, 5*r = -2*f + 2 - 16. Let o = v + f. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*p - 1892 = -3*p, -p = -5. Suppose -g = -5*v + 4*z, -5*v - 7*z + 4*z + 627 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u + 36*u + 36*u.\nAnswer: 95*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.158, -28, -24, -0.4.\nAnswer: -28, -24, -0.4, 0.158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62326304.\nAnswer: 2, 53, 36749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8063, -16117, -24175, -32237?\nAnswer: -40303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/50463 and -137\/160656.\nAnswer: 2702394576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and 11\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4580130*d**6 - 3967161*d**2 wrt d?\nAnswer: -549615600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1320 divided by 5\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = 2*v, -25 = -2*v - 3*v. Suppose p + 8 = -3*p. Let m = p + 3. Put -1, m, n in descending order.\nAnswer: m, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {i: 6, u: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/4, -3, 0.2, -3\/67, 0.015?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436677383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 - 9*k + 6. Let x be b(4). Suppose 0 = -0*g + x*g - 8. Suppose -64 = -g*h - 84. Let p(f) = 5*f + 1. Calculate p(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/(3 - (-254)\/(-84)). Suppose -7*q - 2 = 117. Let u = q - 5. Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 366360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**1)**(1\/3)\/(x\/x**(-3))**(-1\/11) assuming x is positive.\nAnswer: x**(56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26025, -26029, -26033, -26037?\n\"Answer: -4*z - 26021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/21))\/(k*k*(k\/(k*k*k\/(k\/(k*k\/(k\/(k**4\/k))))*k))\/k*k*k*k) assuming k is positive.\nAnswer: k**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 6*j. Let b be u(-5). Solve -b = -3*n + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 265?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 85*x**2 + 174*x - 3. Determine v(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*1*-141. Suppose 0 = -18*i + 1812 - 516. Let c = i - a. Sort c, 2\/15, 0.5.\nAnswer: 2\/15, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**9)\/a**(-3\/8))\/(a**(1\/3))**27 assuming a is positive.\nAnswer: a**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102499646.99999945 - 102499655. Let g = -12 + 4. Let n = f - g. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -5*i + 24. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4766\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 9. Let a be 8\/(-16)*(-1 - j). Let z be (a\/(-2))\/((-2)\/4). Solve -2*w = -z*h - 3*w - 20, -w = -h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1208*n + 72651. What is v(60)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-45))\/(2\/9). Solve 0 = 2*s + n + m, 3*n + 0*n + 9 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43\/820 + -1\/410. Let h(k) be the second derivative of -1\/6*k**3 + 9\/2*k**2 + 0 + 7*k - 5\/6*k**4 + g*k**5. Determine h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197709 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/24*12*3\/(-42).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 925*b**2\/3 = 0 for b.\nAnswer: 0, 185\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 4. Suppose 40*u = 36*u + 3*q + 94, 4*q = -4*u + 80. Let f(v) = -4*v**2 - 11 - 2*v**3 + v**3 + 0*v**3 + u - 7. Give f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*o + 28, -2*b + 7*b - 4*o = 26. What is the remainder when 2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7777349356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (3 + -2)*1. Suppose -2*d - c + 4 + 6 = 0, 5*d + c - 22 = 0. Solve -4*h - l - d = -x*h, -4*h = 2*l + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 7*p**5\/15 + p**2 - 162*p. Let f(z) = -87*z. Give f(m(b)).\nAnswer: -2436*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 627793648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27705539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 27. What is x(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(9\/3)*(-47)\/(-705)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 62 + 67. Suppose -5*m + y = 0, 6*m - 3*m = 3*l. Let i be l\/(5\/510) + -3. Calculate the greatest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 317\/3. Factor 0*s + 0*s**3 + 0 - 1\/3*s**4 + l*s**2.\nAnswer: -s**2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(42) - -6*sqrt(168))\/(-1*(sqrt(72)\/sqrt(12) + sqrt(6))) + -2)*5.\nAnswer: -130*sqrt(7) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 91. What are the prime factors of x?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 + 2*t. Let l be f(-3). Find the first derivative of 0*h**2 + 5*h**2 - 4*h**l - 5*h**2 + 1 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 - -7.1. Sort 5, t, -1, -3 in descending order.\nAnswer: 5, t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 890.036 meters?\nAnswer: 890036000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -342, -775, -1384?\n\"Answer: -88*x**2 + 7*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z - 6 = -45*z. Solve 0 = 2*v - z*o - 6, v - 4*o - 17 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70527 = -2900*c + 3827 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3450284, -3450283, -3450282?\n\"Answer: d - 3450285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*d**4 - 25*d**2*q**3 - 3711*q**3 wrt d?\nAnswer: -148*d**3 - 50*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/(-39) + 4956\/273 + -18. What is y in 4\/5*y - 1\/5 - 4\/5*y**3 + 1\/5*y**h = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 63. Suppose 14*s - 18 = l*s. Solve s*x = 4*u + 14, -2*u + 5*u + x + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17370 = 2*h + 72035, -1 = -z. What is h rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173510481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6735\/26 - 259. Which is the second biggest value? (a) 1\/4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1992, -3983, -5974, -7965?\n\"Answer: -1991*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 4863*q**2 + 2283072*q + 242138112.\nAnswer: 3*(q + 149)*(q + 736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7248789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4875\/(-335))\/(-15)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*u + 65 - 54, 3*u - 17 = -2*k. Solve p = 4*w - k, -17*w = -14*w - 2*p - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -51.\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39230534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 25. Let u = b + 18. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 75, -78, -357, -762, -1293, -1950?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 1138, 1705, 2272?\nAnswer: 2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6960 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from ttbp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - 6*l**2 - 4*l + 7. Let j(x) = 9*x**3 + 11*x**2 + 7*x - 13. Let b be ((-48)\/(4 - 2) - 3) + 1. Let k = b - -20. What is k*j(z) - 11*t(z)?\nAnswer: z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340380 is divided by 889?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3214952, -6429898, -9644844, -12859790, -16074736, -19289682?\n\"Answer: -3214946*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*k + 7*k - 6*k)*(834 - 834 - 77*k).\nAnswer: 77*k**2 - 77*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**5 + 0*z**5 + z**5 + (0*z + 0*z - 2*z**3)*(-z + z - 2*z**2) - z**5 + 4*z**5 - 4*z**5)*(5 - 7 + 4) + z**4 - z**4 - z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05009 - 0.05. Round l to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 50?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:12 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -278 and 297 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 2. Let n be t(8). Let g = -2 - -4. Suppose -v - g*v = -n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.139 * -25.\nAnswer: 3.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2396?\nAnswer: 9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 - 1 = 0. Suppose -3*o = -2*g + 2, r*o + 0*g - 12 = -2*g. Suppose -s + 3*s + o = 0. Which is bigger: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5386 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10836*b**2 - 1661 wrt b?\nAnswer: -21672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -698 - -3491\/5. Which is the fourth biggest value? (a) t (b) 21 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323 and 9622.\nAnswer: 182818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3430 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -17*b - 3. List the prime factors of b - ((-1420)\/30)\/(1\/3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -26*n**2 - 12. Let z(l) = -25*l**2 - 10. Give 3*r(i) - 4*z(i).\nAnswer: 22*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3*sqrt(245)*3 + sqrt(245) - sqrt(245))**2.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108920 + -61859. Suppose 0 = 3*o + 3971 + 69712. Let q = y + o. What is q rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.56 + -0.06. Let m = -0.08 + 4.08. Let i = o - m. What is the nearest to 0 in -5, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = x. Let w be x + 1 + (-1 - -2). Let u be w\/10 - (-46)\/10. What is the closest to -1\/3 in 3\/7, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -4.818903.\nAnswer: -5.118903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15324301 to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-8) + (-3)\/4. Suppose 0 = b*v + 11 - 491. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.878 - 7?\nAnswer: -6.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j**2 + 4186 - 4186 to y*j**2 + z + g*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8715 and 1795290?\nAnswer: 1795290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*t, -10 = 5*t - 2*t + 5*u. Suppose f - 2*c + 12 = -0*c, 0 = 3*f - t*c + 31. Let k be -2 - -3 - 0\/f. Is 0 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 36371.19525.\nAnswer: -36367.19525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.7 + -74. Let o = 0.76 - -3.24. Let m be (-2)\/4 - 2\/(-4). Which is the third biggest value? (a) q (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84*25\/13650*11?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 9:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*g - 958595 = -8516*g - 93815 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*a**4 + 2438*a**3 - 17530*a**2 + 15536*a - 360 = 0. Calculate a.\nAnswer: 1\/42, 1, 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 + 199. Suppose -o - z = -6*o. Let p be 94\/o + (-3)\/5. Sort 1, p, 0.1 in increasing order.\nAnswer: 0.1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7 + 3. Factor -4*b**k + 3*b**2 + 0*b**2 + 5*b**2 + 2*b**3.\nAnswer: 2*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3339 divide 210640815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 1, h: 2, q: 6}. What is prob of sequence hmq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*r = -3*a + 43, -115*r + 15 = 2*a - 116*r for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-486)\/(-9) + -8)*3\/2. Suppose 0 = -3*a + 3*g - 9, -3*a - 22 = -5*g - 3. What is the second derivative of 42*m - 66*m**2 + 120*m**2 - z*m**a wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/180 - t**5\/60 + t**4\/24 - 4*t**2. Let c(g) be the second derivative of q(g). Differentiate c(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c - 7. Let w(x) = -x**3 + 11*x**2 - 10*x - 6. Let a be w(10). What is the units digit of k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2088*p**2 - 4*p + 4*p.\nAnswer: 2088*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6701616 (base 9) to base 7\nAnswer: 42425004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4756642 is divided by 7251.\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(28) - (sqrt(264)*1)\/sqrt(11))\/((sqrt(12) - (1*sqrt(96))\/sqrt(8)) + -2*(sqrt(12) - sqrt(192))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -82, 9.\nAnswer: -82, 9, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 3*w**2 + 4*w + 4. Let o be q(-4). Let v(c) = c**3 - 2*c + 1 - c**2 + o - 6. Suppose -y + 3*h + 14 = 0, -y + 17 = -3*y - 3*h. What is v(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1945 + 13617\/7. Let w = 8.3 - 6. Let r = 0.3 - w. Which is the closest to r? (a) p (b) 0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 2, w: 2, i: 6}. What is prob of picking 2 i?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3871*d**3 + 2*d**2 - 6*d + 4. Let o(a) = 46455*a**3 - 25*a**2 + 75*a - 50. What is -6*o(u) - 75*r(u)?\nAnswer: 11595*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -708 + 2645. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*l + 148 = 0, -3*l + 30 = -s - 2*l. Let f = s + 30. Calculate the smallest common multiple of 9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**2*y**4 + 6*m**2*y**3 + 16*m**2*y**2 + 5*y**4 - 13*y wrt y.\nAnswer: -24*m**2*y + 36*m**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -33. Let t = i + 1. Which is the second smallest value? (a) 1\/5 (b) 0.5 (c) -0.33 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Suppose -2*l - 1 = -5*k, m*k = -5*l + k + 13. Suppose -l*y = 3*y - 90. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -30, -1\/7, -7\/6.\nAnswer: -30, -4, -7\/6, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-60)\/(-30))\/(8*3\/3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c**5*v + 338*c**3*v - 8*c - 2*v + 5 wrt c?\nAnswer: -640*c**3*v + 2028*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/55 and 56\/3685.\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 0.9, -5\/2, 1\/5, 0.4 in descending order.\nAnswer: 0.9, 0.4, 1\/5, -3\/13, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 3. Let n(r) = 58*r - 1. Is n(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**3 - 2*c - 2. Let v(s) = -s**2 + 4*s + 7. Let l be v(4). Suppose -5*o = -3*y + l, -o - o = -2*y + 2. Let h be p(y). Solve -9*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -14*n + 3, 0 = f + 2*n - 1361. List the prime factors of f.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -1 (c) 0 (d) -0.2 (e) 1\/4 (f) -4186\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*u = -824*u - 16. Solve -60 = -29*g - u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7.98. Let c = 1160 - 1161. Sort 0, -3, c, d in decreasing order.\nAnswer: d, 0, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153682.\nAnswer: 2, 43, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*a + 79*a + 78*a + 275 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(5) + sqrt(5)*-2)*-2)**2 + (4 + sqrt(20))**2.\nAnswer: 16*sqrt(5) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 16*m**3 + 9*m - 5*m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-10)\/(-5 - -3). Let 3\/2*o**4 + 0 + 0*o + 0*o**2 + w*o**3 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, h: 1, r: 2, e: 1, a: 1}. Give prob of sequence hcoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (40 + (-41 - -7)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = 12, 0 = 2*q + h. Find the common denominator of (-135)\/72*(-22)\/6 and 11\/q - 18\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(153\/(-68))*(-2)\/(-4))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69133813 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = -42*w + 3514. Calculate the remainder when 19628 is divided by w.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10846 is divided by 162?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 968*h - 488*h - 482*h - 3, -2*d + 24 = -5*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/952105 and -57\/7703395.\nAnswer: 84737345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*m - 315398852 + 1478405555 = 371*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771*u**3 + 1065*u**2 wrt u.\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*k - 2*k - 614 + 198 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = -2*t, -4*z = -3*t - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -2579*f + 2593*f. Calculate the greatest common factor of f and 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 4154554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13*t - 2. Let h(m) = -m**2 + 40*m - 283. Let n be h(9). Let j(a) = -25*a - 3. What is n*j(v) + 7*g(v)?\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -14.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 4:03 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -123*a + 23. Is g(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1153 divided by -4\nAnswer: 1153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.645 rounded to two decimal places?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (3 - 11) - (3 + -19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 2)) + 3 - ((-1*sqrt(55) + sqrt(55))\/sqrt(5) + sqrt(11)))**2 - ((-3 + sqrt(176))*5)**2.\nAnswer: -4613 + 598*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 7*p**5\/120 + p**3\/3 - 2*p. Let i(f) be the second derivative of t(f). Let z(l) = 553 + l - 553. Give i(z(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((0 - -5) + 25 + -34). Which is greater: z or -539?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (6 - 156\/13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 20. Let q = i - -7. Let x be q\/6*(-10)\/3. Let s(b) = b - 1. Determine s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(12\/5)*u*u**(1\/6)*u)\/(u**4*u\/(u*u\/u**12)) assuming u is positive.\nAnswer: u**(-313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5 - 3*k**4 + 13422*k**3 + 203232*k**2 = 0.\nAnswer: -58, -16, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhvxxvvvv. What is prob of picking 1 v and 1 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365452396 = -168*y + 365441476 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnmnnmmmmnnnmmn. Give prob of picking 1 m and 1 n.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/8 (b) -13 (c) 2\/15 (d) 56 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 2, a: 1}. What is prob of picking 2 p and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 1. Let l(r) = -33*r**2 + 2. Calculate -l(i) + 2*u(i).\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540366*i + 59698*i + 468044*i.\nAnswer: 1068108*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283624613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w, 30 = 2*a - 0*w + 2*w. Let n(h) = h**2 - 13*h + 3. Let r be n(a). Find the first derivative of -10*v**3 + 20 + 4*v**r - 5*v**3 wrt v.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-15) + (-12)\/9. Suppose -6*g - 20 = -2*g. Sort 0, d, g, 3.\nAnswer: g, d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 3)*(-3 - 3*h + 3)*(-h**2 + 0*h**2 + 0*h**2).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/21*2\/438. Let t = d + 173219\/15330. Calculate the common denominator of -32\/9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -65*x - 2100. Give m(-35).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 9587*q**6\/120 + 5*q**4\/8 + 13*q**3\/3 + 98*q**2. Let d be a(-2). What is d rounded to the nearest one thousand?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 290\/87 + (-2)\/(-3). Calculate the remainder when 96 is divided by 5 + (-2 - -198)\/k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*j - 1720015, 2*j + 1796701 = 2*y + 76691. Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let c(w) = -w - w**p + w**2 + w**2 + w**3. Suppose -14*j + 7 - 3 - 4 = 0. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**4*z + 1783*o**2*z - o*z + 576329*z wrt o.\nAnswer: 24*o**3*z + 3566*o*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.92 - 21.12. Let j = l + -6.6. Round j to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h + 37*h**2 + 0*h - 7*h + 2 + 794*h**2 as j*h + k*h**2 + g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -696.9 and 1881.\nAnswer: 1184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9500 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**6\/9 + 32*c**5\/15 - 8*c**4 + 128*c**3\/9 - 32*c**2\/3 - 2. Factor n(u).\nAnswer: -4*u*(u - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 287*r - 10*r**2 + 12*r**2 - 147*r - 2*r**3 - 144*r in the form h + b*r**2 + y*r + v*r**3 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17684791 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*n = -4*s - 2, -2*n - s = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243403269 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -13. Let f = 16 + t. Which is the smallest value? (a) 1 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 14)\/(7\/((-350)\/(-3))). Let s(o) = 2*o + 5. Let m be s(10). What is the greatest common factor of m and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 684\/203 + -9571\/2436. Find the common denominator of 43\/28 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2373 and 13003249.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1844789\/31 or 59509?\nAnswer: 59509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167211 - -1043?\nAnswer: -166146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2031 or -199139\/98?\nAnswer: -2031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23 + -29 - (-253)\/45 - 0 and -22\/365.\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/4 - 9*g + 3. Let l(w) = 4*w**2 - w. Determine 4*l(t) - 5*r(t).\nAnswer: t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - z + 2. Let v be q(-5). Suppose 5*f + 8 + 2 = 0, 5*s - 177 = -4*f. Let c = s + v. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309140 and 195?\nAnswer: 927420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -42. Suppose -64 - i = -d. Suppose s + 80 = 4*v, -2*v - v = 4*s - d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 2821 = -30*z. Let p = -212 + z. Solve -p*n - 2 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -10) + -11 - -12) + -21 + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.4 - -55.38. Round d to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -2*c + 780. Let y = c - -76. What is the remainder when 27 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:21 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 109*a - 110*a. Let x be a + (-91)\/21 + 37\/(-24). Suppose y = -1 - 2. Is y less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24)*(-8)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*a - 815*a - t - 2 = 0, 8 = -4*a - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-20)*(-2)\/(-4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 6) to base 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Let f = -4.3 + 4.6. Which is the closest to l? (a) f (b) -1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*h**4 - 95*h wrt h.\nAnswer: -2328*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -259. Let z be (-24)\/i + -5 - (0 - 5). What is the smallest value in z, -5, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgbkgncggczb. Give prob of sequence gn.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:30 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or -3\/112?\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37188 + -19254. Does 147 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6252689654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99 - -46) + -127 - (80 + -1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4212) + sqrt(13) + -2)*3)**2.\nAnswer: -684*sqrt(13) + 42273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -4, -0.3, -7, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -94. Let g(l) = -l**3 - 5*l**2 - 3*l - 3. What is g(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11*6\/(-66) + (-1)\/1. Suppose 3*d + 27 = 5*n, 3*n - d = -4*d - 3. Solve -n*p + 4*z - 7 = 0, c = -3*p + 2*z - 4 - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y - 2)*(4 - 2*y - 4) + (-1 - y + 1)*(5 - 5*y - 5).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 358, 0, -123, -2, -1.\nAnswer: -123, -3, -2, -1, 0, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385336610*j**3 + 682*j + 58570 wrt j.\nAnswer: 2312019660*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49231318511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474550595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c + 3*q, -c - 5*q - 3 + 33 = 0. Let u = -2 + 1. Let m = u - -10. Calculate the remainder when m is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 12*h + 9. Let c be q(-11). Let x be (40\/(90\/(-9)))\/(4\/c). Suppose 3 = 2*k - 11. Solve -19 = -4*i + 2*u - k, -2*i = x*u - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 77 = -22*z + 3*k - 2*k - 0*k, -3*z - 19*k = 621 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 1.9. Put q, 4, -11 in descending order.\nAnswer: 4, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18198846 divided by 7961?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + (-4)\/(-58). Let f = -1193 - -1212. Let y be 6 - (-8 + f - 4). Is y != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-778)\/8 - 122\/(-488). Let t = 12 + 134. Let y = i + t. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57490 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, b: 9, r: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g**3 - 4*g**2 - 4*g + 2. Let r(w) = -7*w**2 + 33*w**3 - 132 + 17*w + 123 + 24*w**2. Determine 9*o(l) + 2*r(l).\nAnswer: -6*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*f - 3*i - 4, -15 = 2*f - 5*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -2 - -9) + -10 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(3) + -1 - (-4 + (sqrt(3) - sqrt(24)\/sqrt(8)))).\nAnswer: -16 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 24. Let v be o(-20). Suppose -v*n + 2*l = -1104, l + 4 = 2*l. What is n rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 1. Let v(k) = 4*k**3 - 6*k**2 + 3*k - 9. Let h(u) = -12*u**3 + 18*u**2 - 10*u + 26. Let s(m) = -3*h(m) - 8*v(m). What is 6*r(x) - s(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/3)*n**(-2\/13))\/((n*n**(-18))\/(n\/n**(21\/5))) assuming n is positive.\nAnswer: n**(2141\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1659 divide 2773619058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 7, w: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -37, -0.1 in ascending order.\nAnswer: -45, -37, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - 2*f**2 - 3*f + 2. Let n(z) = z - 1. Let g(y) = -7*y - 24. Let t(l) = g(l) - 6*n(l). Calculate the remainder when t(-5) is divided by r(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278138\/21765 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 230 - 169)*(-4*k**2 + 9*k**2 + k**2).\nAnswer: -2796*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 19.6 (b) 0.3 (c) -1\/9 (d) 5 (e) 4\/9 (f) -1 (g) 5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 49123661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -127947 * 0.18\nAnswer: -23030.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 552, -5, 1, 11, -7 in descending order.\nAnswer: 552, 11, 3, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7) - 99\/504)*(-390)\/(-117).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 22. Calculate z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 0.3. Let t = n + 1. Sort t, 5, 3.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + 56\/(-6). Let c = 82 + -77. Let w = c - u. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1135, 1\/5, 2789, -5 in increasing order.\nAnswer: -1135, -5, 1\/5, 2789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -165*g - 2887*g - 1248*g - 1979*g in the form d*g + p and give d.\nAnswer: -6279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/39*(-51)\/34. Which is smaller: n or 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = d + 17, d - 3*w + 8 = -5. Is -11 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 + (-191 - -86) + 209\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4))**(7\/4))**(-3)*((p\/(p*p\/(p\/(p\/p**(-3)))))**(-4\/13))**(-26) assuming p is positive.\nAnswer: p**(-533\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -60. Let w = n + -43.2. Let f = -125\/777 - -2\/111. Which is the closest to -6? (a) 1\/3 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arbbbplpppjabap. Give prob of picking 1 j and 2 a.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23250791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1165842327 to the nearest integer?\nAnswer: 34144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttbtovtovctvzvvct.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**3 + s - s.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10059007.\nAnswer: 7, 599, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 76. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6285579 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46631575 is divided by 295?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1416*m**2. Let g(o) = -33*o**2 - 5*o. Let s(p) = -13*p**2 - 2*p. Let c(v) = 6*g(v) - 15*s(v). Determine x(c(a)).\nAnswer: -12744*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1303123 (base 5) to base 9\nAnswer: -37766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m - 23 - 68*m + 23*m + 21*m. Let d be z(-9). Solve -u + d*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2818 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:36 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4649?\nAnswer: -1\/4649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342931 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-88)\/(-11)*(-6)\/(56*-21)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 2\/17, 69, 4.\nAnswer: -11, 2\/17, 1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 8 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2)*((-24)\/60)\/2)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11*r - 56 + 11 = 0. Let a = 3 + -12. Let u be (-1)\/3 + a\/(-27). Solve x - 15 = r*f + 2*x, u = f - 3*x + 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 30. Suppose 11*i = 19 + 25. Solve -i*n + 0 = k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12\/5)*k*k)**(31\/5)*k*k**(-22)\/k*k\/(k**(-2\/67)\/k) assuming k is positive.\nAnswer: k**(-37604\/1675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -2)*(4 - -4). Let q be 12\/(-8)*t\/6. Suppose 2*z - 3*z = 0. Solve m = -z*m - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/7))**(5\/2) assuming w is positive.\nAnswer: w**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 69. Put z, 5, 3, 0 in increasing order.\nAnswer: 0, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 633418*z**3 - 391498 wrt z.\nAnswer: 1900254*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 14*s**2 + 48*s - 1. What is m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103843e (base 15) in base 10?\nAnswer: -11570459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y. Let h be -10 + 12 + 3\/(-1). Let g(b) = 12*b**3 - 10*b - 4. Let f(r) = h*g(r) + 10*i(r). Differentiate f(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114.46 + 109.846. What is r rounded to 1 dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 787895*u**3 - 31039320495*u**2 + 31038532605*u.\nAnswer: -5*u*(u - 78789)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 724, 624, 514, 388, 240, 64, -146?\n\"Answer: -n**3 + n**2 - 96*n + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a factor of 2458918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231625908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/12 - 17\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/240 and 103\/100915560.\nAnswer: 201831120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347591*l + 85 = -8*i + 347594*l, i - 21*l = -320 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4719329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 42, 3 in decreasing order.\nAnswer: 42, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**0*t)\/t)**30)**(-1\/68))**(-28) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73878 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7723685.\nAnswer: 5, 311, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7174 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7889\/1116 - -5\/372. Let x = 1\/892 + -28589\/40140. Calculate the common denominator of h and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -r - 3*r. Let o be (6\/(-8))\/(4\/r). What is the third smallest value in -2\/3, -2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 216554*5\/43240 - 3. Let l = 1016\/47 - g. Find the common denominator of 83\/6 and l.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3581284588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. List the prime factors of -4 + 1 - -5 - k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31975 + -31976. Let f = -4.64 + -2.3. Let k = 7 + f. Which is the smallest value? (a) k (b) 3\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 61 = -5*l, 0 = 4*l + 5*u - 3*u + 62. Let m = l - 4. Let r = -14 - m. Solve r*h + 2*w - 28 = 0, -2*w + 1 = h - 3*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 532?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/576)\/(2\/(-16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxxskxkssxekikk. What is prob of picking 1 i and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-136)\/(-85)*(-15)\/(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 27*j - 6*j + 0*j - 143*j - 71*j to the form k*j**2 + l*j + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.979 - -0.021. Which is the nearest to -1? (a) -2\/9 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r - 3*r**5 + (-3*r**3 + 4*r**3 - 2*r**3)*(2*r**2 - r**2 + r**2) + 3*r**4 + 8*r**5 - 3*r**4 + (-2*r**2 + 2*r**2 - 2*r**2)*(4*r**3 + 2*r**3 - 3*r**3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 92*i**2 - 380*i + 476.\nAnswer: -4*(i - 1)*(i + 7)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120 - 135 - 2*p**2 - 16*p - 3*p**2 - 4*p.\nAnswer: -5*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1\/8, 4, 62\/627?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.1, -2\/21, -1213, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = 4*l, 16 = 2*n + l + 2*l. Let b = n + -13. Let o(a) = a - 1. What is o(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16.51 (b) 3 (c) 0.5 (d) -3\/2 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + v. Let q be m(-1). Suppose 4*x - 67 = -q. Suppose a + x = 3*i, -3*a + 6*a - i = -8. What is the smallest value in a, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1300 = b + 165, b - 1135 = 5*z. Calculate the remainder when b is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1446626*p**3 - 1880*p**2 - 125*p?\nAnswer: -8679756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(((-11)\/22)\/(42\/8)). Let m(d) = -d**3 - 21*d**2 + 2*d + 48. Let g be m(r). Let a(o) = 6 - o**2 - 6 + 6*o + 6. Give a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + 0 + 0)*(m + 3*m - 2*m) - 426*m + 426*m - 25*m**3.\nAnswer: -37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(24\/3300)\/(((-210)\/(-165))\/7)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -179 and -168132659744.\nAnswer: -168132659923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5015 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -204454?\nAnswer: 204454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/89? (a) 4 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4 + 4*l**2 - 2*l**6 - 4 + 5*l + 5 - 2. Let d(x) = -x**6 + x**2 + x - 1. Let j(b) = -5*d(b) + q(b). What is the third derivative of j(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145466?\nAnswer: 2, 617, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06409, -19, 5, -0.02, -5, 4 in ascending order.\nAnswer: -19, -5, -0.02, 0.06409, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**2 - 26 + 123 - 48 - 49.\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(63) - sqrt(252)\/sqrt(4)) + (-1*sqrt(7) - sqrt(7)) + -5 + (3*sqrt(84)*1)\/sqrt(12).\nAnswer: -6 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67 and 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:49 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5097 + 5215. Which is the closest to -1? (a) s (b) 4 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 + 11 = 0. Suppose 21 = 2*v - d. Suppose 19*z = v*z + 82000. What is z rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 10 + 0*l**2 - 2\/3*l**3 + 0*l. Let v(i) = 119*i**2. Calculate v(n(w)).\nAnswer: 476*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222100222221 - -12?\nAnswer: -1222100222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 13 = 3*x - 0*x, -x + 5*y = 21. Suppose 5*h = 5*b + 45, -2*b + 0 = h - 12. Suppose 22 = 3*i + h. Are i and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312032 - -3?\nAnswer: 3312101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n + 7. What is r(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, -45, -1\/3, 3, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**27)*(z\/z**(-10))\/z)**(-28\/9) assuming z is positive.\nAnswer: z**(-1036\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 153*s**4 + 30*s**3 - 1530*s**2 - 27*s + 1377 = 0. What is s?\nAnswer: -3, -1, 1, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19135 * -2\nAnswer: 38270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2 + 13*d - 5. Let u be h(-7). Let x be (2\/(-1)*7)\/u. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96948 in -2\/7, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*s - 304950008 = 0, -2*s = 8*i - s - 813200004. What is i rounded to the nearest 1000000?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - 4*j)*(0*j + 2*j + 0*j)*((-j - 2*j + j)*(1 - 1 - 2*j) - 44*j + 6*j**2 + 44*j).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*t - 6. Suppose -2*q - t*q + 294 = 0. Let w = q - 29. Solve 4*l + 0 + w = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Suppose 0 = -0*u + 4*u - 8. Suppose -5*s = -u - 38. List the prime factors of q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4751617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128716 - 128716. Let q be 2*2*15\/12. Put w, -3, q, 3 in decreasing order.\nAnswer: q, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**3 - d**2. Let n be m(-1). Suppose -3*u + 16 = k, 15*k - 10*k = -u + 38. Let t = n - k. Solve 3*s + 3*o = o - 5, -t*s + 25 = -5*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -1 (c) 1\/10 (d) 5 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 21452970.\nAnswer: 64358910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1361 * 4.\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85529 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**3 - 6*g**2 - g - 8. List the prime factors of i(3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13311 + 13277. Which is the smallest value? (a) i (b) 9 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2016 and 3726948?\nAnswer: 626127264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 10*z**2 + 8*z - 9. Calculate l(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*l*o + 8176*j*o**2 - 15*j - l*o**2 + 859636*l*o with respect to l.\nAnswer: 3*j*o - o**2 + 859636*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047345393 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*h**4 - 11050*h**2 + 85299*h + 21?\nAnswer: 288*h**2 - 22100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Let t = 0.7 + -0.3. What is the nearest to -4 in v, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l. Let d(x) be the second derivative of x**6\/720 + x**4\/12 + 2*x. Let q(t) be the third derivative of d(t). Calculate b(q(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.629 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f + 2. Let g be h(-6). Is (-40)\/g*1137\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0 + d**2 + 0*d**3 + 3\/8*d**6 + 0*d**5 - 37*d - 61\/24*d**4. What is the second derivative of h(r) wrt r?\nAnswer: 270*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -217*a**2\/2 - 135*a + 37. Differentiate x(s) wrt s.\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**7\/840 + h**6\/90 + h**3\/6 - 4*h**2. Let r(o) be the first derivative of v(o). What is the third derivative of r(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83070 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7062 = -g - t + 14, 4*g - 28302 = -5*t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*k**2 - 182*k + 182*k)*(6*k - 5*k - 2*k) + 8*k**3 - 19*k**3 - 20*k**3 - k**3 + 2*k**3 - 2*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818 a factor of 116009349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 13*x = -8*x - 63, 4*x - 51 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 623925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 43\/4340?\nAnswer: 43\/4340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-3 + sqrt(18)*4)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - 7*d**3\/3 - 197. Let l(a) = 2*a**3 + 13*a**2. What is -11*i(s) - 6*l(s)?\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 19. Let l(u) = u**2 - 2*u - 2. Calculate l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -338245 divided by -67649?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = -f, 40 = 3*w + 34 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7371300 to the nearest one hundred thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76812 is divided by 128?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002044 to 7 dps.\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3115520 (base 6) to base 4.\nAnswer: -210230220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05711 rounded to 3 dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15089696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 19*c + 14. Let p(q) = 47*q**2 - 12*q. Let t(m) = -47*m**2 + 12*m. Let b(v) = c*p(v) - 3*t(v). What is the second derivative of b(r) wrt r?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*c**4 + 2*c**3 + 0*c**3 + c**4 - 3*c**2 + 35*c + 2*c**2 wrt c?\nAnswer: 504*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 3, 8, 13?\n\"Answer: 5*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:12 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-5)\/((sqrt(88)*1)\/sqrt(8)) + 6*(-3*sqrt(99)*-4)**2.\nAnswer: -5*sqrt(11) + 85536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154866.\nAnswer: 2, 3, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485683?\nAnswer: 11, 67, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = f - 5, 4*f - 67*j + 65*j + 10 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*27\/(-12) - 3\/2. Let r(v) = 12*v + 43. What is the common denominator of 26\/69 and r(n)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6. Let w = 2.2 + m. Let l = 317 + -317.06. Which is the closest to 0? (a) l (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-198))\/(4\/2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 + 6*x + 1. Suppose 0*b = b - 6. What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 9 + 15. Let o = r + -5. What is the closest to -5 in o, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123817.3*-0.1\nAnswer: 12381.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 36. Suppose -32 = -3*z + c*p, -2*z - 4*p = -0*p + 12. Suppose 0 = 4*n - 4*x - 40, -z*n + x = 6*x - 22. Solve -4*d - 16 = -n*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*s + 2, -3*s = -n + 4*n - 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 16. Suppose 4*d + 2*a = -18, 3*d - 4*a + 11 + 19 = 0. What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -31?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1179, -1402, 379, 5166, 13961, 27766?\nAnswer: 47583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6820 = -841*j + 549*j - 2103*j - 165620 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*r + 9, -15 = -0*k + 3*k - 5*r. What is the biggest value in -1\/4, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.05, -3, -3\/61, -4 in decreasing order.\nAnswer: 0.2, -3\/61, -0.05, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6608, -13259, -20006, -26897, -33980, -41303?\nAnswer: -48914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e2 - 7c?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/6, 1\/21, 1, 17, -0.02, 5\/4, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-9)\/(-12)) - (-8 - 144\/(-18)). Which is the nearest to i? (a) 12 (b) 0.3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*s - 7, -16*s = -d - 15*s - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/6)\/((-3)\/(-4))*3\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 18, -21, -62, -105, -150?\n\"Answer: -x**2 - 34*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*1*-2*(-2)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 901 = 713. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 9}. What is prob of picking 1 v and 2 r?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*m + 29 = -2*m, -23 = -3*b + 4*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-42))\/((-2)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 0 + 0 + -3 - (-15 + -9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:30 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(425)))**2*2 + 0.\nAnswer: -180*sqrt(17) + 7668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122*g**4 - 69*g**4 - 75*g**4 + 40 wrt g?\nAnswer: -88*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6244049.\nAnswer: 7, 17, 137, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**8\/24 + 16*r**7\/105 - 59*r**6\/60 - 16*r**5\/15 + 13*r**4\/3 + 16*r**3\/3 - r**2 - 11. Solve b(t) = 0.\nAnswer: -4, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-780)\/260*(-4946)\/6?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/11400)\/((14\/(-5))\/(-14))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -124*h**2 + 2. Let o be q(-2). Let u = o - -1112. Suppose -7*n + u = 2*d - 3*n, -d - 5*n = -294. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455397 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:44 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q + 3. Suppose 4*r - 4*y = 44, -y - 3*y + 19 = 5*r. Let x be n(r). Let a = 109 - x. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40078079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -17. Let s = 588 + -571. Let y = s - l. Is y < 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127985314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/2 - 9*v**4\/2 + 7*v**3\/2 + 9*v**2\/2 - 4*v.\nAnswer: v*(v - 8)*(v - 1)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24078 - 24045. What is the nearest to -0.3 in 0, -60, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/70550 and -7\/4250.\nAnswer: 352750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -905 by -5.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/((-3)\/4). Suppose -p*q - q = 0. Suppose 5*v = 35 - q. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -37, -63, -93, -127, -165, -207?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -j + 7 + 3, 3*i - 2*j = -18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27393, -55186, -82979, -110772, -138565?\nAnswer: -166358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/38 and -2 - ((-62)\/(-4) - 5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - (7 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/270 + (-6)\/(-27)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12029105 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (4 - 18 - -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*10\/50. Which is the closest to j? (a) 7\/4 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:07 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0 - 1\/2*y**3 + 0*y**2 + 4*y - 1\/2*y**4 - 1\/20*y**5. Let n be q(-6). Solve -n = -w - 5*o, 4*o = -w - 4*w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Sort 5, 1\/9, -1\/3, o in decreasing order.\nAnswer: 5, o, 1\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25*f - 21*f = 28, -2*f - 6 = 2*b. Put 0.5, -1252, b in descending order.\nAnswer: 0.5, b, -1252","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 - 44. Let c = a + -73. Calculate the greatest common factor of c and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 8 = 0. Let h = -107 - -111. Find the third derivative of 4*v - x*v**3 - h*v + v**2 + 3*v**2 wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -8. Suppose -5*v + 4*v = -t. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1315043.\nAnswer: -10\/1315043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 - 189 + 78 - 2430*o**2 + (7 + 3 + 0)*(3*o**2 - 4*o**2 - o**2) - 5*o**2 + 3*o**2 + 0*o**2 as q*o + r + u*o**2 and give u.\nAnswer: -2452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/24 - 2*f**2. Let p be s(3). Suppose -p*h + 8*h = 5. Sort 1\/7, h, -0.3 in descending order.\nAnswer: h, 1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 1050, 1575?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*v = -20, -3*b + 2*v = 7 - 15. Suppose -120 + 15 = -21*g. Solve -3*s + 4*s = g*d - 6, b = 4*d - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26069183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 - 224. Which is the closest to 2? (a) 7 (b) 4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 3*g - 3. Let r be m(2). Let s = 7 + r. Suppose -3*t + 4*p = 4 + 9, 2*p = s*t + 8. Which is the closest to t? (a) 1 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 11 = -9*u. Let h(m) = -m**3 + 5*m**2 + 2*m - 5. Does 19 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 + 4*i**2 + 4*i. Let u(a) = 6*a**3 + 3*a**2 + 3*a. Let z(k) = 2*q(k) - 3*u(k). Give z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -5, -2\/15, -4 in descending order.\nAnswer: 0.1, -2\/15, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bdbrbdb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i + 40. Let w = i - 21. Let d = w - -25\/2. What is the closest to d in 0.3, -3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1938 + 1974. Let v = 27 + 8. Is v <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 325*p + 328*p + 563)*(2 + 1 - 1).\nAnswer: 6*p + 1398","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -29, -38, -49?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-5)*(-1390)\/278.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/(b\/b**(-6)))**(-5\/2) assuming b is positive.\nAnswer: b**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149*t**4 - 12*t**3 + 15798 wrt t.\nAnswer: -596*t**3 - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i + 1. Let x(o) = 4*o + 7. Let j(l) = 3*l + 6. Let s(y) = -3*j(y) + 2*x(y). Let m be s(-5). Determine t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84309732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.5 (b) -4\/3 (c) -0.06 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 48 = -2*t - 3*w, 0 = 3*t - 5*w - 110. Let z = t + 17. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 1. Let s(y) = 58*y**2 - 31*y + 3. Let o(n) = -24*n**2 + 13*n - 1. Let b(p) = -12*o(p) - 5*s(p). Determine -b(a) - 2*z(a).\nAnswer: 4*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*x + 406*x + 23*x + 81*x + 6495 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14\/9)*p\/p**(-3\/13))\/(p*p**8)**20)**(-50) assuming p is positive.\nAnswer: p**(1054900\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 16 + -1 + -4 + -5 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 7 + 0*b**2 + 2\/3*b**3 + 0*b. Let x(o) = 8*o**2. Calculate w(x(v)).\nAnswer: 128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1348141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6471)\/(-6465) + -1)*(-4340)\/(-6). Let q = o - 2\/431. Which is the nearest to q? (a) -2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281.246519 - -280.996. Let u = 0.1305196 + g. Let v = 0.12 + u. Round v to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -1 + -1 + 17 + (-149 - -148)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 485, 600, 949, 1538, 2373?\n\"Answer: m**3 + 111*m**2 - 225*m + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a - 2*a - 10*a - 2*a + 2*a + a + (a - 5*a + 2*a)*(0 + 1 - 3) - 3*a - 5*a + 6*a + 0 + a + 0 as w*a + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26870139, -26870141, -26870143?\n\"Answer: -2*h - 26870137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -264027 take away 5?\nAnswer: -264032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -91*s + 279*s - 94*s - 103*s. Let k(t) = -367*t. Give m(k(h)).\nAnswer: 3303*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 963421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -236, -239, -248, -263, -284?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojtj when four letters picked without replacement from {s: 1, t: 2, i: 5, o: 1, j: 2, r: 4}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {l: 1, j: 3, x: 2, m: 3, z: 1, b: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, u: 5, l: 2}. What is prob of picking 2 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 4203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -17*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14584 and 2.\nAnswer: 14584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 45. Let h(k) = -18*k + 10*k + t*k - 1. Determine h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1 = w, f + 5*w = 4*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 14581716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a factor of 212378705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**2\/2 + 9*b + 108. Let n(i) = i. What is z(n(k))?\nAnswer: k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12538889\/14880 + 26115\/31. What is the common denominator of 83\/2400 and t?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 748009476*j**3 + 0 - 748009539*j**3.\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 6\/((-120)\/(-4))*55.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 27 + 99. Calculate the greatest common factor of j and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -8. Let a(s) = 12*s**2 + 5*s - 4*s**p - 8*s**2 - 2*s**2 - s**3 + 5. Calculate the remainder when a(-4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/15)\/(32\/12))\/((-165)\/44)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 3. Let m = -8 - -11. Let f(g) = 1 - 5 + 3*g - 1 - 3. What is m*f(b) + 8*c(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttntnn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(16)\/(2*sqrt(8)) - sqrt(12)\/(-4*(sqrt(6) + sqrt(24)\/sqrt(4))).\nAnswer: -7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let g(i) = -14*i - 10. Let f(m) = -g(m) - 3*s(m). Let o(z) = -11*z - 12. Let r(a) = -6*f(a) - 5*o(a). Let t(l) = -3*l. Calculate t(r(x)).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 10) to base 11.\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)**(-20))**22 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85323 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569977?\nAnswer: 587, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 23*i**2 - 50*i - 3. Give l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8940 and 4023.\nAnswer: 80460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172745 is divided by 154?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i + 99*i - 3078, 2*a + 73 = 3*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-26)\/(-12))*(-27)\/(-18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5458 (base 11) to base 6\nAnswer: -53202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -28*z - 32 - 24*z + 55*z. Let r be c(15). Let b(f) = 8*f**2 + 5*f - 5. Let n be b(4). Calculate the highest common divisor of n and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3716 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264717 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -196, -761, -1702, -3019, -4712, -6781?\n\"Answer: -188*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 7560*d + 7559*d = -6, 0 = 16*l + d - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:29 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 - 23)*(-3*q**2 + q**2 + q**2) as z + g*q + p*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 19 = -2*l, -5*x - 29 = -2*l. Suppose 3 = -y - l*y. Let v(n) = 3*n**3 + n**2. Calculate v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -5, -0.024, 1\/3?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1455, -2914, -4395, -5910, -7471, -9090, -10779?\n\"Answer: -2*k**3 + k**2 - 1448*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6148, -12317, -18478, -24625, -30752, -36853, -42922, -48953?\nAnswer: -54940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*s - 145, 5*s - h = h + 242. Let v be (-4)\/22 - s\/(-22). Suppose v*w + 0*w = 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103395602*o**5 - 176*o**2 + 73486 wrt o.\nAnswer: 6203736120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 82 + 54 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 4476?\nAnswer: 31332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-1 + (7 - 17) + 11 + -3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5975353*k**5 + 13*k**2 - 728426978*k.\nAnswer: 119507060*k**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmpmpm. Give prob of sequence mpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*m + 389*m = 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339599 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -388.9?\nAnswer: -194.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -3\/58, 36795\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71176 (base 12) to base 10.\nAnswer: 147114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c - 3. What is the remainder when 43 is divided by r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose 6*f - i*f = -2*s + 44, -2*f = -5*s + 75. Suppose -s = -4*u - 3*a, -3*u + 0*u + 3*a + 39 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 5 (b) 0.12 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16412500 and 1040.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*t - 98*t + 12*t**2 + 233*t + 13*t**2.\nAnswer: 25*t**2 + 309*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*d**3 - 3 + 337*d**2 + 95*d**3 - 349*d**2 - 12*d as p*d**2 + w + l*d**3 + f*d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 556*n**2 - 562*n**2 + 2*n + n + 44 to the form f + y*n + v*n**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 2, m: 9}. What is prob of sequence mm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**4 + c**3 + c**2 + c. Let u(h) = 2*h**4 - 5*h**3 - 7*h**2 - 5*h. Let v(b) = 5*g(b) + u(b). Find the third derivative of v(d) wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) 3 (b) 1 (c) -95 (d) -16 (e) 1\/3 (f) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*2 + -9 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 - 3*i**4)*(263 + 164 + 150 + 124).\nAnswer: -1402*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0. Let f(l) = 5*l + 30. Let n be f(-5). Suppose -n = 3*h - 2. Which is the nearest to -2? (a) -8 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -3*t + 1\/3*t**3 + 0*t**2 + 0. Let w(k) = -6*k**2. Calculate o(w(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 26*k**3 + 52*k**3 - k**2 - 27*k**3 - 39 + 3*k to the form d*k**3 + p*k**2 + y + a*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 886\/13. What is the closest to -0.2 in -1.3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 6*b - 5. What is g(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2394 (b) -2\/27 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 0.2, -0.5, 205?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14298733, 14298732, 14298731, 14298730?\n\"Answer: -x + 14298734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5131\/4, 0.07, 3.\nAnswer: -5131\/4, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 + 285. Suppose -7*p + s = p. What is the remainder when p is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5723269 is divided by 54?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:13 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*c - 112*c + 358. Determine k so that -2\/17*k**c + 12\/17 + 10\/17*k = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoboztozyytvyoo. What is prob of picking 1 b and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -17. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 6864792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1350*x**2 + 897*x + 5412. What are the prime factors of a(-6)?\nAnswer: 2, 3, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-12 + 5 - -3) + -4 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.8 - -12. Let k = 17.8 + d. Let f = k - 16.6. What is f rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5535*x*y**3 + 13*x*y + 2*x + 398*y**3 + 5*y**2 - 111 wrt x?\nAnswer: -5535*y**3 + 13*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 427?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 17, 40, 71?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-45)*-2)\/(7 + (-930)\/135).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -812 divided by 324859?\nAnswer: -812\/324859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 - -1 - 0. What is the third biggest value in 0.1, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1366\/9 - -152. Let u = 0.19 - 0.54. Let g = -0.35 - u. Which is the second biggest value? (a) 3\/10 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -21*a + 8. Let i(y) = -y**3 + 9*y**2 - 8*y + 11. What is i(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -141. Suppose -6*k + 7*k + n + a = 0, 0 = -4*k + 5*n + 16. Which is bigger: k or -6\/67?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-11)\/((-176)\/(-12)))\/((-198)\/(-8))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, -2.43, -0.6, 0.2, 1\/2 in descending order.\nAnswer: 20, 1\/2, 0.2, -0.6, -2.43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -5*n**3 - 21*n**2\/2 + 33*n. Find the first derivative of j(x) wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, 2\/7, 0.2.\nAnswer: -4, 0.2, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - 0)\/(-1 - 0). Suppose m*p - 2 + 22 = 0. Let q = 1357\/9 - 151. Which is the second smallest value? (a) 1\/3 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.29848 rounded to 2 dps?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = -212. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**2 + z + 2. Let p(i) = -i**3 + 4*i**2 + i - 6. Calculate the lowest common multiple of c(-3) and p(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-24)\/30)*(-8)\/(-16).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*m = -9 + 59, 0 = -5*b + 4*m + 46. Suppose 2 - b = -y. Suppose 0 = -3*f - 4*x + 113, -y*f - 5*x + 11 + 139 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14138 + -14113. Solve 8 = -33*x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggegggeggegegggggegg. What is prob of picking 1 e and 1 g?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.523 + 3668.123. What is z rounded to the nearest 10?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10 + 95\/(-50)*-512. Is -2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:01 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*b = -1507 - 1073, 0 = 4*g - 3*b - 3443. List the prime factors of g.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-15)*6\/(-2596). Let a = y - 34398\/3245. Find the common denominator of a and (2\/24)\/((-2)\/332).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 14*l - 360. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5063*k*p**3 - 353*k*p**2 - 2*p**3 + 50*p wrt p.\nAnswer: 30378*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 + -369. Let p = -28 + l. Let j = p - -232.9706. What is j rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 2 (b) 0.101 (c) 1 (d) -0.2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11355*j = 11349*j + 1308. Calculate the remainder when j is divided by 86.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 13\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -320109.\nAnswer: -1\/320109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -107885086 divided by 3\nAnswer: -107885086\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9250a (base 11) to base 6\nAnswer: -2521114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 342\/570*10\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 2. Let c be d(-2). Let x = c + -6. Let r be (-2 - 118\/x) + -2. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41440.92 decades in months?\nAnswer: 4972910.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o - 31. List the prime factors of n(-20).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 24 = -4*q, 97842*o = 97843*o - q + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)\/(sqrt(36)\/sqrt(4)) - (sqrt(351)*-2 + sqrt(39)))\/(4*5*(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (-2 - (-8 + 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssrsr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4443.\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. Suppose z = 5*m - 2*m - 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 85 and 4361.\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -5 (b) 2 (c) -1 (d) -0.5 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 0*u - 4*u)*(0*u - u - u)*(-6 + 10 + 9) + (-u + 4*u - 2*u)*(-u - 2 + 2) - 67*u**2 - 2442*u + 2442*u to the form d*u**2 + m + x*u and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3206851933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:13 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*n = 184, 3*n + 322 = 5*f + 15. Suppose -m + 17 + f = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3.66, -3\/2, 0.01, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*t - 3973*t - 76920 = 0 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 2*f + 9. Let m be u(-5). Let i = 94 - m. Solve i = a + 5*o - 4 - 3, 0 = 4*a + 5*o + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(392\/(-42))*3\/(-36).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27150787 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -96849*j**3 - j**2 + 3*j - 3. Let c be b(1). Let n = c - -11428227\/118. What is the common denominator of -89\/20 and n?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4547 and 176025.\nAnswer: -800385675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53258, -106515, -159772, -213029?\n\"Answer: -53257*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-40))\/(44\/330).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p + 2. Give g(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22250362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Let k be (-2)\/x - 0\/3. Let l = -4 - -3.6. Which is the closest to k? (a) 3\/2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53648 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*c + 6*v - v, 5 = -v. Suppose c = -4*d - 3*d - 546. Let r be (d\/(-4))\/((-7)\/(-42)). Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 0*f + 5*f - 96.\nAnswer: 10*f - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 444711 - 97*c + 15*c**3 - 6*c**3 - 444710 as u*c**3 + f + g*c**2 + a*c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3824*v - 1 - 3824*v + 35*v**2.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -245286812*b*v**2 + 97279872*v**2 wrt b.\nAnswer: -245286812*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 - 60*i + 10. Give k(-14).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*s**3 - 4)*(-8 - 1 - 15) in the form o*s + g + n*s**3 + b*s**2 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:23 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94734*q - 94840*q + 7738 for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*h + 30, h + 24 = 4*t + 3*h. Find the common denominator of (-2)\/(-32)*776\/t and -97\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + 0 + sqrt(2736) - (sqrt(2736) + (-1 + sqrt(2736) - sqrt(2736)))*-5) - (-3 + (sqrt(2736)*-2 - sqrt(2736)) + -2 + sqrt(2736) + 3))**2.\nAnswer: -4032*sqrt(19) + 536400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/(-50) + -7 + 34\/(-10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -88. Let t = -39 + b. Let g(m) = 6*m**2 + 29*m - 17. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-5))\/(1\/(-35)). Suppose 14*j - 10*j - 476 = 0. Let y = j - k. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 319 = 42*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -48. Suppose -3*y + 525 = 5*d, -4*y = 14*d - 11*d - 315. What is the remainder when d is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85489, -85443, -85391, -85333, -85269, -85199?\nAnswer: -85123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6647*g - 7269*g + 1466*g.\nAnswer: -12450*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 39) + -7 + 22 - (-91 - 0) - 8\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + 47 - -35 - (-2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -11. Suppose -2*v = -r*y + 2 + 5, 3 = -2*v - y. Which is the third biggest value? (a) 0.3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2941 + -2630. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*m - 73*m - 21*m**2 - 55*m.\nAnswer: -21*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 180. Suppose -5*l + 7 = -3. Suppose d**l - 3*d**y - d**2 - d**2 - 8 - 12*d = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let s = 1031 - 435. Let u = 596 - s. Put u, -2\/7, o, 2\/5 in ascending order.\nAnswer: -2\/7, u, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23.3 or -315?\nAnswer: 23.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5146 and 1951662.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437 and 29762.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 8792276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22181770 is divided by 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/27 + 1 + 79657 + (-4)\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 23*n**5 - 10*n**5 + (-3 - n**4 + 3)*(-2*n + 4*n - 4*n) + 0*n**2 + 0*n**2 - n**5.\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 26 - 32 = -a, 2*z = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + -1 + sqrt(1458))*1*4.\nAnswer: -4 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -121. Suppose u*q - 4 = 17. Let o(t) = -2*t**3 + 3*t**2 + 3*t. Determine o(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1410 and 161\/5358.\nAnswer: 26790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2184 and 2520.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119168 + 0.197.\nAnswer: 119168.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 m when three letters picked without replacement from tffmmmm?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/5 + 101119*i**3\/5 - 505562*i**2\/5 - 808924*i\/5 + 1213368\/5 = 0. Calculate i.\nAnswer: -2, 1, 6, 101114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x + 25*x - 56 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + -3. Let a = -0.3 - -2.3. Let x = 3 - a. What is the nearest to -2\/3 in x, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:23 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48366 >= 48354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4204 (base 13) to base 7.\nAnswer: -35422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/20 - w**4\/6 + 2*w**3\/3 + 2*w**2 + 74*w. Let q(a) = a**3 - 3*a**2 - a. Let m be q(3). Determine l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 > -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2726340, -5452675, -8179010, -10905345?\nAnswer: -13631680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 112 = 19*u. Let f = -11 + 20. Find the first derivative of -u*m**2 - 10*m**2 + f - 884*m + 884*m wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4199 - 4854.1. Let v = y - -655. What is the smallest value in 5\/9, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -7 - (-6)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-530)\/1325)\/(152*(-2)\/(-20))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 - 6*y**2 - 4*y**4 + (-2*y**2 + 2*y**2 + y**2)*(-y + 4*y - y)*(-4*y + 8*y + 3*y) in the form b + w*y**4 + l*y**3 + t*y + a*y**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1134329 divided by -1237.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 9 + 9)*((3 - 2*w - 3)*(0*w**2 + 0*w**2 - w**2) - 135*w**3 + 64*w**3 - 107*w**3).\nAnswer: 528*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + g**3 - 2*g**3 + g**3 + 0*g**3 + (-3*g - g + 2*g)*(-3*g**2 - g**2 + 3*g**2) + g + g**3 - g + 149*g**2 - 110*g**3 + 23*g**3 - 149*g**2.\nAnswer: -84*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -79*s**8\/56 + s**4\/6 + 5*s**2 + 201*s - 1. What is the third derivative of n(y) wrt y?\nAnswer: -9480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 8*z + 4 = 7*z, -2*m = -5*z + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5554*c + 1456*c - 1946 + 178950 = 560*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10 - (-28)\/70)*-1\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*u + o + 19, 0 = -4*u - o - 1. Let i = 3 + u. Suppose 29 + 27 = 5*c - i*z, c = -3*z + 1. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1404\/14609 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.73, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 9*x - 1. Suppose 112 = -20*d - 68. Calculate b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252700 rounded to the nearest 10000?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12764 * -2\nAnswer: 25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkq when three letters picked without replacement from {s: 2, q: 4, v: 2, o: 8, k: 4}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.073, 1\/5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let p(s) = -15774237*s. Determine p(d(c)).\nAnswer: 15774237*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 q when four letters picked without replacement from gqgggznzggnzzgqzggzg?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o - 2*o**2 - 11\/24*o**4 + 0*o**3 + 0. Let n be y(-4). Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162192377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211303 - -1001?\nAnswer: 1212310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:56 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, g: 5}. What is prob of picking 1 i and 2 g?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 77, 17, -97, -283, -559, -943?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 12. Let u be ((-1)\/(-6))\/(4\/f). Suppose -7*s + 3*s = 0. What is the second smallest value in u, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 3:43 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582 and 188608158.\nAnswer: 188608158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)*12*24\/2592. Let p = -45 - -48. Factor -4\/3 - 2\/3*r**2 + 7\/3*r - y*r**p.\nAnswer: -(r - 1)**2*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(187)*1)\/sqrt(11)*5 + -5.\nAnswer: -9 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27858 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1041, 1692, 3449, 6864, 12489?\n\"Answer: 92*s**3 + s**2 + 4*s + 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o**2 - o**2)*(655*o**2 - 137*o**2 + 194*o**2) - 4*o**4 - o**4 - 6*o**4.\nAnswer: 701*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-88))\/((-3)\/(-4)). Let a(c) = c**3 - 6*c**2 - 7*c + 1. Let r(x) = x**3 - x + 7. Let l be r(0). Let z be a(l). Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007282 to six dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/2 + 1119*i. Let z(p) = 2*p + 17. Give y(z(w)).\nAnswer: 24*w**2 + 408*w + 1734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66, -0.3, -0.1565, -0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -149. Suppose 45*j - k*j - 6 = 0. Suppose 4*v = -5*s + 210 + 73, -5*s - 221 = -j*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5073 by 57.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31284226.\nAnswer: 2, 15642113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977*a = 945*a + 26176. What is the remainder when a is divided by 399?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 17 + 2 + 59)*(8*d - 3*d + 7*d).\nAnswer: 696*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 9\/43 (b) -1\/6 (c) -1260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2170 + 2169.6. What is the closest to -24 in -1, r, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k. Determine h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*a**3 + a - 2*a + 6299*a**3 + a.\nAnswer: 5986*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 13*a - 585 = 0. What is the remainder when a is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/97 and 59\/141232.\nAnswer: 141232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (588*q + 147*q + 341*q)*(-6 + 1 + 2).\nAnswer: -3228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 39 = 3*z, 0 = 2*t + 2*z - 11 - 7. Suppose 197*m = -90*m + 19*m + 5896. What is the smallest common multiple of t and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -30, 3, -44, 1 in decreasing order.\nAnswer: 3, 2, 1, -30, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53039074.999897 + 53039119. Let u = g + -44. Round u to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1210)*1 + sqrt(1210))*-6)\/(sqrt(2) - sqrt(200)*-2 - sqrt(14)\/sqrt(112)) + -1.\nAnswer: -1 + 1584*sqrt(5)\/83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 50*k**3 - k**2 + 2*k + 2. Let s be v(-1). Let u = 247 - s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.050297l to millilitres.\nAnswer: 1050.297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32039082109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 35. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11681660 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3764.2 take away -0.2?\nAnswer: -3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1091634976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -237, -4\/5, 1\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z**(1\/4)*z*z))\/(z**(-3\/14)*z*z*z))\/(z**11\/(z**9*z)) assuming z is positive.\nAnswer: z**(-113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.25223 seconds in microseconds?\nAnswer: 70252230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u + 1. Let c(j) = j**3 + 2*j**2 - 5*j - 4. Let h be c(-3). Let g be u + -3 + h + 17. What is the highest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/7 and 53\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/36 and 81\/11980.\nAnswer: 107820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -127 and -3.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*o**2 + 2*o**2 - 7*o**2)*(4 - o**2 - 2*o**2 - 980*o + 979*o) to the form y + s*o + b*o**3 + r*o**4 + p*o**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 88435 - 88435 + 20*i**3.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16557, -33087, -49617, -66147, -82677?\nAnswer: -99207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 36 = -8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*d)\/d*d\/(d**(-2\/13)*d*d*d) assuming d is positive.\nAnswer: d**(223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 5:03 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, j: 2, d: 1, k: 2}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80768569 to the power of 1\/2, to the nearest integer?\nAnswer: 8987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 2292\/(-20))\/(10\/(-25)). Let w = -21 + c. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s + 60*s + 224. Which is the closest to s? (a) -5 (b) -2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -318 - -803. Suppose 2*o + 4 = 2, -5*o + a = 5*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 m when three letters picked without replacement from {c: 2, g: 3, d: 10, m: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -k - 10, 5*f + 50 = 5*k + 10*f. Suppose 2 = 5*i + 4*p - 2, k*p = i - 24. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.25 - -24.2. Which is the nearest to -0.4? (a) -0.9 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -3*w**3\/2 - 3*w**2 + 4*w. Let o(i) = -9*i - 5. Let z(d) = -5*g(d) + 6*o(d). Let y(r) = 2*r**2. Determine y(z(k)).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:31 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*2*-2)**2 + sqrt(13))*6 + (-1 + (sqrt(637) - (-1 + sqrt(637))))**2.\nAnswer: 6*sqrt(13) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/5 - 937*o**4\/5 - 329472*o**3\/5 - 51580152*o**2\/5 - 3049471152*o\/5 - 2998219536\/5.\nAnswer: -(o + 1)*(o + 234)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -771\/340 + 36\/17. Are c and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 * 326\nAnswer: 6911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 339372?\nAnswer: 7805556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 145\/3. Suppose 9 + 1 = 5*w. What is the common denominator of w\/6 - 140\/v and -25\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*j + 14, 4*j + 8 = 8*j + 2*f. Let y(k) = k**2 - k - 1. Let l(d) = -5*d**2 - 9*d - 1. Let u(q) = j*y(q) - l(q). Factor u(t).\nAnswer: 2*(t + 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25723 = -9351*s - 54378 - 247184 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {u: 1, s: 4, g: 1, w: 8, l: 6}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/24 - -1) + 27\/72. Find the third derivative of -b - 942*b**n - 1 - 8*b**3 + 939*b**2 + 5*b**4 + b wrt b.\nAnswer: 120*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/92 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 9*q - 8. Let d be t(-2). Let j be ((-238)\/35 - d)*3*-15. What is the highest common factor of j and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -4917, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1. Let j(t) = -76*t - 3. Let m(l) = j(l) - 2*o(l). Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 50. What is the remainder when 159 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -12122, -1 in descending order.\nAnswer: 0, -1, -3, -12122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1593*k**3*t**2 - 4360*k**3 - 8*k**2*t - 27*t**3 wrt t?\nAnswer: 3186*k**3 - 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321886 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50870?\nAnswer: 2, 5, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38\/197 + 100\/2561. What is the biggest value in 2\/73, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (28 - 27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1598 and 42.5.\nAnswer: 67915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74251 = 260*r - 1824*r - 247*r for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*a*q**2 - a*q - 6*a + 6*q**2 + 97 wrt q?\nAnswer: 476*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 2*z - 1. Suppose -8 = 4*g - u, 3*g + 5*u = g + 18. What is the units digit of o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -18. Let r(u) = 12*u + 4. Let z be r(-1). What is the remainder when q is divided by -3 + 2 + 2 - (4 + z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1255*f + 1255*f - 23*f**3)*(-4*f - 5*f**2 + 4*f + (0 + 1 - 3)*(f**2 + f**2 + 0*f**2) + 2*f**2 - 3 + 3).\nAnswer: 161*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose 0 = 5*g + 5*w + 2 - 27, 4*g - s*w = 6. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -365887 + -4?\nAnswer: -36588b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 3 - 3)*(0 + 0 - 2)*(3*w - 6*w + 2*w + (3*w - w - w)*(-3 + 0 + 2) - 3*w + 0 + 0).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, -1\/2, -1 in decreasing order.\nAnswer: 2, -1\/2, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 21, 57, 113, 195?\n\"Answer: c**3 + c**2 + 12*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052322 rounded to five dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53441 - -53681.91. Let r = m - 246. Round r to one dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353120014 (base 6) to base 12.\nAnswer: 225900a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/45812 and -149\/156?\nAnswer: 137436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**5\/20 - o**4\/6 + o**3\/2 - 60*o + 46. Let b(q) be the first derivative of j(q). Let l be (0 - -1*1)*-3. Give b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 625365.7km?\nAnswer: 62536570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/9, -0.177, 268, -12 in decreasing order.\nAnswer: 268, -1\/9, -0.177, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/2 - 2139*j**2\/2 + 4269*j\/2 - 2133\/2.\nAnswer: 3*(j - 711)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 16158*h**2 + 33011520*h + 1516056064.\nAnswer: 2*(h + 47)*(h + 4016)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329854 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 - 89 = 0. Let d = 76 - p. Calculate the remainder when 166 is divided by (-9 + d)\/(2*(-1)\/(-28)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 33*o + 50. Calculate p(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqbw. What is prob of picking 2 w and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g - 5. Let b be r(-5). Let y = -72 - -112. Suppose 5*l - y - 5 = b. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z + 255. Let u be l(-15). Let r(f) = u + 10 - 3 - 6 + f. Calculate r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + (-1020)\/105. What is the units digit of -2 - z - (0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - 4*z**3 - 10*z**2\/3 + 4*z + 11\/3.\nAnswer: -(z - 1)*(z + 1)**2*(z + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852678 is divided by 1245?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52552?\nAnswer: 2, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**4)\/c*c)\/c)**(1\/73) assuming c is positive.\nAnswer: c**(-4\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 23*r - 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p = -28*p + 370 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6a9487 (base 11) to base 14\nAnswer: 21412a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*c + 38454 = 503*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/5 - f**4 + 2*f**3 - 2*f**2 - 1817*f. Factor u(s).\nAnswer: 4*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.178 + 0.758. Let s = -0.044 + y. What is s rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 193, 122, 1, -176, -415, -722, -1103, -1564?\n\"Answer: -h**3 - 19*h**2 - 7*h + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -959*o**5*v - 7*o**4*v + 126210*o*v wrt o.\nAnswer: -19180*o**3*v - 84*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 9 + 7 + -1 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11100 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383 - -11491\/30. Let r(y) be the second derivative of 0*y**5 + 0*y**3 + 0*y**2 - 1\/42*y**7 - j*y**6 + 0*y**4 + 2*y + 0. What is b in r(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01847 + -4.3\nAnswer: -4.31847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 6315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*k - 74, -4*n - 3*k + 88 = -9. Let s be 45 - (8 - (-3 + 8)). What is the highest common factor of s and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + x)*(293*x**2 - 10*x**2 - 2*x**2)*(-x - 3 + 3) to p*x**4 + g*x**3 + n + a*x + u*x**2 and give p.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 635, 1046, 1433, 1784, 2087, 2330, 2501, 2588?\n\"Answer: -2*m**3 + 425*m + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-170)\/(-102) - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -925317 - -925363.8271. Let k = 177 - 130.2. Let i = k - m. What is i rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + 0 - 118\/(-44) and 143\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2247.791 + -2246. Let x = -1.8 + w. Round x to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2062 - 5*i + 4*i - 2063. Determine t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 412 + 109 = 0. Let k = -144 + v. Suppose -4*y = 2*l - k + 5, -5*y + 194 = 2*l. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479323338?\nAnswer: 2, 3, 59, 3276199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9923, 9882, 9793, 9632, 9375, 8998, 8477, 7788?\nAnswer: 6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g**2 - 22*g**2 + 7 + 0 + 13*g. What is the least common multiple of 2 and r(11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5970.5107 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432)*1*-6 + -1*(sqrt(432) + -2*sqrt(432)) - (sqrt(432)*3 + -5)*-3) + -5)**2.\nAnswer: -2112*sqrt(3) + 7396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 212, 437, 662?\n\"Answer: 225*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 59.3. Put 0.1, s, -3, 0 in descending order.\nAnswer: 0.1, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339810 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6168? (a) 5 (b) 1 (c) -681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 2\/5, 100 in decreasing order.\nAnswer: 100, 3, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + (12 - (-1 + 6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o + 57*o = 12. Let g be 2\/(-4) - 114\/o. Let s be ((-23)\/1*4)\/(g\/90000). What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -v, -2*x + 0*x = -3*v. Suppose d - 14 = -3*l + 7*l, 0 = -x*d - l + 3. Solve -d*u + 5 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 31. Calculate the highest common divisor of z and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1058488\/9 + 117610. Determine n so that 10\/9*n**2 - 8\/9 - 8\/9*n + 10\/9*n**3 - 2\/9*n**4 - j*n**5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 6*j - 17. Let b be q(7). Suppose b = n - 4*a + 2*a, -3*a = 2*n - 113. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 q when three letters picked without replacement from yllylccccytlltlclcqy?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -8, -1.\nAnswer: -8, -1, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1895 and -0.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b. Let j(p) = -19*p**2 + 114*p + 13. Calculate g(j(a)).\nAnswer: 418*a**2 - 2508*a - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 - 9*n**2 + 11*n**2 + 6*n**2 + n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95164.85mm to kilometers.\nAnswer: 0.09516485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194658861 by -1.\nAnswer: 194658861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.993 + -10.9. Let d = 0.007 + y. Which is the nearest to 0.1? (a) -2 (b) d (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = -3*d - 26, d + 7 = t. Suppose -2*c = -5*p - 57, 0 = -p - 0*p + 5*c + 7. Let y = d - p. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 3*t - 111, -t = 5. Let n be (i\/40)\/((-2)\/15). Let b = n + 9. Solve -12 = -f + 5*u, 4*u = -f + 6*f + b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose 31 = r*q - 1. Calculate the least common multiple of 6 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173617.4 millimeters to centimeters.\nAnswer: 17361.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1.52.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273050633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 11*j**2 - 30*j + 12. Let w be k(-5). Solve 0 = -33*o + w*o + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.38 times 0.2\nAnswer: -1.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udrwwdduwsucr. Give prob of sequence ddd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/22 - (12 - (-32058)\/429).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 d, and 1 z when four letters picked without replacement from {c: 4, o: 2, q: 2, d: 2, w: 1, z: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 20 = 247*m - 242*m, 5*i = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 3 - 3)*(1449*q**2 + 287*q**2 + 1780 - 1780) + 4*q**3 + 0*q**3 - 2*q**3 to k + t*q + j*q**3 + a*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 7\/6 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 63*w**4\/2 - 363*w**3\/2 - 9*w**2 + 396*w + 192 = 0.\nAnswer: -1, -4\/7, 2, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8774, -17504, -26234, -34964?\n\"Answer: -8730*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and 2042\/660 - (-10)\/75?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15522*b + 15659*b + 5206 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + s + 2*s)*((-7*s + 7*s - 9*s)*(0*s**3 - s**3 + 2*s**3) - 2*s**3 + 5*s**3 - 37*s**2 + 38*s**2 + 7*s**4).\nAnswer: 8*s**5 - 12*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5734*z**2 + 3*z. Let p(c) = -2*c + 79. Calculate p(r(o)).\nAnswer: -11468*o**2 - 6*o + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 11*a**6\/30 - 107*a**5\/12 - 3121*a**2. What is the third derivative of y(x) wrt x?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4 + 5*z + z - 5*z + 9. What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*o + 44 - 44)*(2*o + o - 2*o)*(-3 + 2 - 17) as x + g*o**2 + i*o and give g.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k + 15. Calculate the lowest common multiple of k and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 5*k**2 + 4*k + 4. Let h be c(-6). Suppose 3*x + 720 = -5*j, -8*j - 137 = -7*j + 2*x. Let n = h + j. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*x = -348*x + 26. Is x less than 29\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18841 by 15.\nAnswer: -18841\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53120965 rounded to four decimal places?\nAnswer: -1.5312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 0*w + (-2*w - 2 + 2)*(-2 - 1 + 1))*(-36 + 23 - 36 + (-1 - 1 + 3)*(4 + 0 - 3))*(15 - 10 - 10)*(-2 + 5 - 1).\nAnswer: 1440*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i - 3*i - i + 0*i - 71*i**2 wrt i?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 2*n**2 - 4*n + 12. Calculate q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Solve -3*w - 4*k + 5 = -10, -3*w + 9 = y*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4217 * -19.8\nAnswer: -83496.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -562.2 + 546.606. What is p rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 5 - 5 + 2*c + c - 2*c + (1 - 7 + 2)*(2*c - c + c) - 3 + 3 - 10*c)*(11*c + 4*c - 20*c) to the form m*c**2 + h*c + b and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.6. What is the second smallest value in -0.2, -2, t, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v + 4. What is q(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1184 + -1090. Solve 2*s - h = -84 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 36. Suppose 0 = -4*w + v + 346, 3*v - 3 = -c. Is 1*(w - 6\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209526?\nAnswer: 2, 3, 47, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 70. Let x be u(0). Suppose 10 = 3*z - 8*z, 22 = 3*l - 2*z. Let g be ((-84)\/(-9))\/(4\/l). Calculate the highest common factor of x and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525390 is divided by 1168.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*u + 3662 = 3044 - 4086 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpo when four letters picked without replacement from gpgoogggmpg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + (-6)\/((-6)\/3). Let r = 8 + v. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9 + 20. Let u = h + -1.6. Let x be 3\/(42\/(-4))*1. What is the second smallest value in u, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(28\/12))\/(6\/(-1030)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9293 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.9 - -15.9. Let l = -0.05 + 0.13. Put u, l, -3\/2 in increasing order.\nAnswer: -3\/2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 7)*(3490*k**3 - 3490*k**3 + 3*k**4).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 3*j**4 - j**4)*(2 - 6 + 1) - 3*j**4 + 2*j**4 + 4*j**4.\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and -71\/1556.\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -483311635*g**2 - 145814449 wrt g.\nAnswer: -966623270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -6*u - 614. Calculate the remainder when 35 is divided by 14\/(-4)*u\/21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12347, 24683, 37017, 49349, 61679, 74007, 86333?\nAnswer: 98657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2818 (base 10) in base 2?\nAnswer: -101100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 - 9\/126*-2*7*-5 is divided by ((2 - 1) + -2)*-16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.67? (a) -34.3 (b) 1 (c) 917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 469, 470, 467, 454, 425?\n\"Answer: -i**3 + 4*i**2 - 4*i + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwixiwxxx. Give prob of sequence xw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1862 and -1.\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13116*y**2 - y + 2. Let a be n(1). Let h = a + -262413\/20. Calculate the common denominator of 109\/6 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.032 + 1?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3375 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 + 2. Suppose -4*b + 5 = b. Let y be (0 - (2 + b)) + 3. Determine x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1)\/1 - 1404\/342.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -31\/4, 4, 243911?\nAnswer: 243911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -124, -172, -204, -214, -196, -144?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16626533\/385 + (-4)\/5 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2841*i - 1550*i + 262006 + 23409 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 505 - (3 + (0 - -6)). Suppose 21*l - f = -55. What is the remainder when 56 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*o + 15447, 2*o - 6*o = 2*m - 10280. Suppose 3*a + m = 5*f, -a - 9 = -12. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from aaawwwwwwwaawawaaaaw?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 3*g**2 - 5*g + 3. Let h be m(3). Let s(x) = x + 13. Suppose 49 = -8*w + w. Let o be s(w). Calculate the greatest common factor of h and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 258864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 14*o + 17. Let c(b) = b**2 + 15*b - 16. Let i(g) = 5*c(g) + 4*u(g). Let y be i(7). Is -25 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(sqrt(8)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 + f - 9. Let t be j(9). Let y be (t - -6)\/(1 - -1). Suppose 4*q + 6*m = y*m + 120, -96 = -4*q + 3*m. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, 0.4, 80?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + -1*(sqrt(17) + -1 + sqrt(17) + 1) + -5)*6.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 2. Let h(r) = 4*r + 3. Let v(j) = -2*h(j) - 3*u(j). Let o(w) = 5*w. Let b(f) = -2*o(f) + 3*v(f). Let k(q) = q. What is k(b(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022042 (base 5) in base 9?\nAnswer: -131226","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 14*i - 74 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2417631 (base 9) to base 6\nAnswer: -44034344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - j)*(0 + 5 - 4) + 2 + j - 2 - 2 - j - 2*j - 5*j.\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 572040767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 981191039 divided by 1741?\nAnswer: 563579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 11:03 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5. Let w(p) = p**3 + 1. Let h(f) = 4*f**3 + 2*f + 5. Determine u*h(x) + 5*w(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3770 = -176*x - 115*x + 161*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37699 or -75397\/2?\nAnswer: -75397\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111385197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1703*z**3 + 13 - 3.\nAnswer: 1703*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 591\/4 + -147. Let w be 32\/6 + 2\/(-6). Let b = 1.2 - 1. What is the second smallest value in w, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115070 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.023 + 15.577. What is the nearest to -3 in 4, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + 18. Are 0.1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2 (b) 3\/8 (c) -3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. What is o(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1045\/2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**6\/900 + h**4\/60 + 9*h**3 - 2*h - 60. Let b(m) be the third derivative of g(m). Factor b(j).\nAnswer: -2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 34c?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32556 divided by -5426?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -344*r + 1. Let n(y) = 2*y**2 + 68833 - 68833. Determine n(h(w)).\nAnswer: 236672*w**2 - 1376*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/25065 and -131\/711846?\nAnswer: 3559230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 - -133. Let t be 10\/12 - (-2)\/(-4). Let l = -109 + 979\/9. What is the third smallest value in v, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(5\/9)))*f)\/f*f*f*(f**15*f)\/f)\/((f**(-4)*f)\/f*f*f*f\/(f*f*f\/f**(-10\/3))*f*f) assuming f is positive.\nAnswer: f**(205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8) + -4 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**3 + 7*h - h**2 + 4 - 4. Let t(v) be the third derivative of 3*v**6\/40 + v**5\/60 - v**4\/4 + v**2 - 6*v + 517. Calculate -7*t(j) - 6*u(j).\nAnswer: -9*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 32\/176*1155\/(-84)*(-4)\/6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 5, -9 in ascending order.\nAnswer: -9, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-30)*9\/6. Let m(o) = o**3 - o**2 + 1. Let h be m(-1). Do b and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66922281 and -0.8144.\nAnswer: -66922281.8144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 - 7*h - 134. Let c(t) = -17*t**2 + 12*t + 266. Determine -3*c(p) - 5*v(p).\nAnswer: 6*p**2 - p - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382479970?\nAnswer: 2, 5, 3659, 37783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11411 and 11.53?\nAnswer: 131568.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(8) + 0 + -2 + -1)*5.\nAnswer: -40*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2154, -2131, -2104, -2073, -2038?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 - -171.92. Let r = z - -0.08. Let b = 695\/9 - 77. What is the nearest to 1 in -4\/5, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 7*f + 2*f + 6*f**2 + 238*f**4 + 6*f - 25*f in the form l*f**3 + g + d*f**2 + n*f**4 + z*f and give n.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 321795?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 6)*(1 + 2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242.64 * -2.087.\nAnswer: 506.38968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 + 12*c - 9. Let z(l) = -l**3 + 5*l**2 + 15*l - 2. Let x be z(7). Let t be r(x). Are 224 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 80 = -4*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222925 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -4 (c) 5 (d) -53 (e) 10.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w + 5. Let m(n) = 23*n + 9. Calculate -6*m(p) + 13*s(p).\nAnswer: 5*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 19. Let l be k(-8). Solve -l = -5*b - d - d, -3*b + 5*d = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = 1. Let l(d) = -b + 8*d - 2 - 11*d. Suppose -24*g + 22*g - 8 = 0. Give l(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01286134494 rounded to 6 decimal places?\nAnswer: 0.012861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115 and 1.1631?\nAnswer: -133.7565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.1. Let g = p + 1.4. Let q = 0.9 - 0.9. What is the third biggest value in q, 3\/2, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 746.689 to 0 decimal places.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - p + 0 - 2)*(-3 + 12 - 10 - 10*p) as n + k*p**2 + c*p and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149938557 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 7:22 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8600 = -3326*c + 3526*c for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 158260 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22902180 - -4.\nAnswer: -22902176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223, 913, 2055, 3643, 5671, 8133, 11023?\n\"Answer: -t**3 + 232*t**2 + t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 9*s - 214. Let g be t(30). Calculate the remainder when 374 is divided by g\/(-56) - (-8)\/28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 879*a - 59*a**2 + 1329*a - 751*a + 60*a**2 to w + g*a + z*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/(-80) - (-12)\/20. Let i(o) be the first derivative of o - 8 - 5\/3*o**3 - 1\/2*o**l. What is i(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-20 - -1) + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cca when three letters picked without replacement from {g: 1, u: 1, k: 1, c: 2, m: 5, a: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixipb. What is prob of sequence iib?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k - z - 2, 5*k - 19 = 2*z. Factor 9\/2*b**k - 3\/2*b**2 + 0 + 0*b.\nAnswer: 3*b**2*(3*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 296*(324\/(-48))\/(3 + 0). Put -3, -1, p, 0 in decreasing order.\nAnswer: 0, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1127 - 1124. Solve g = -5*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10 + 3013\/230 + -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 681\/13 - 1991\/39. Which is the fourth smallest value? (a) -2 (b) 2\/9 (c) q (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624 = 128*w - 656 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -39*f**2 - 209*f - 210. Let x be t(-4). Factor 4\/3*z**x + 12100\/3 - 440\/3*z.\nAnswer: 4*(z - 55)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.209 and 1021.\nAnswer: 1021.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 22*y - 50. Let b be h(24). What is the tens digit of (-268940)\/(-252) + 3\/27*b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g, -2*s + 5*s = 4*g - 12. Let r = -11948\/3 - -4026. Let k = -43 + r. Which is the nearest to k? (a) 3 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773740038?\nAnswer: 2, 3, 47, 2743759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66085148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 - w + 1. Let l be (8\/(-12))\/(4\/6). Let b(h) = h**4 - h**3 - 3*h**2 - 3*h + 2. Let i(p) = l*b(p) + 2*a(p). Determine j so that i(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -14*m - 1. Let j be i(1). Let x be ((-3)\/j)\/(1\/5). Let w be -1 + (21\/9 - 1). Is w at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*y**2 + 88*y**2 + 5*y**3 + 189*y**2 to the form h*y + z + b*y**3 + i*y**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*b + 864 - 6626 = -644*b + 13988 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y + 2. Let t be -1 + y*(-3)\/6. Let z(w) = -w**3 - w**2 + 33. Let d be z(t). Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*i**2 + 44*d*i + 41*d + 5*i**2 + 1261 wrt d?\nAnswer: -i**2 + 44*i + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 19 - (-10 - 33)) + (-17 - -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460 divided by 5.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + -89. Let a = g + 570. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 12*v**2 - 11*v + 12. Let o be r(11). Suppose -3*s - 3*b + 180 = 0, 2*s - b - 132 = -o. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 170688 and 0.04.\nAnswer: 6827.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let b = 106727 + -106692. Solve 38*k - b*k + 3 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 22 = -295. Calculate the greatest common factor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, a: 8, d: 1}. What is prob of picking 2 w and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 + 247 + 150*j**2 - 63*j**2 - 28*j**2 - 30*j**2.\nAnswer: 2*j**2 + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*q**2 + 271*q**2 + 277*q**2 + 291*q**2.\nAnswer: 135*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(8)\/sqrt(4) + sqrt(2)))**2 - (-2 + -5*(sqrt(2) - (sqrt(2)*1)**2)).\nAnswer: 5*sqrt(2) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247242000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 44 = 8*i. Let w(k) = 107*k**2 + 8*k - 41. Let u(g) = -2*g**2 - 2*g + 1. Let r(l) = i*u(l) - w(l). What is the derivative of r(o) wrt o?\nAnswer: -198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/180*(-8 + (-3)\/(-1))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -43*s + 4. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4252 * -245\nAnswer: -104.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 59. Let j = 3.19 - 2.99. Which is bigger: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442194580 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: Find the common denominator of 51\/28 and -11\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 49 = 5*t, -2*t - 41 = 2*t - m. What is the common denominator of -77\/16 and (108\/t)\/(248\/(-93))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9326*d + 7. Let v(z) = 15*z**2. Determine t(v(b)).\nAnswer: 139890*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1184154*p*w + p + 255978 wrt w?\nAnswer: 1184154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + 2 + 2))**2.\nAnswer: 216*sqrt(17) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4432392866?\nAnswer: 2, 11, 18315673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220103 + -4.486.\nAnswer: -220107.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5302b (base 12) to base 15\nAnswer: 223ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142138 is divided by 1665.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -45617*14\nAnswer: -638638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and -1717?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = 12*f. Solve 5*l + 25 = 0, f = -0*n + 3*n + 3*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 2 - 3*u + 4. Let t(v) be the third derivative of -v**4\/3 + 7*v**3\/6 - 8*v**2. Let p be 27\/6 + 2\/4. Calculate p*t(l) - 6*k(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) - 86\/(-18). Let p(t) = t + 4. Let r be p(-4). Suppose -4*d + 0*d + 8 = r. Solve d*u - 6*u + 5*s + 31 = 0, -i*u = -2*s - 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775067849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -29 + 92 + -35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133 + -439?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.1434km to millimeters.\nAnswer: 548143400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*c + 5*z, 4*c - 5*z = 11 - 30. Let r(t) = -92*t**2 + 107*t**2 - 3*t + 2*t. What is the units digit of r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891304 is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -641*i + 49. Let p be a(-10). Is (-1 - -3)*p\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h + 1. Let g be l(-1). Solve 0 = 3*t - 4*w + g, 0*t - w + 12 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 37, 35, 35, 37, 41, 47?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-120)*(-4)\/((-8)\/(-3))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*n - 43*n + 4216069. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + t = -q - 16, 5*q + 4*t = 53. Let k = 57 - 33. What is the remainder when k is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1463 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.188 from 4.\nAnswer: 4.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from jxxxxjxbbjxpjjxjaja.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let y = -69.5 + 71.4975. Let p = y - r. What is p rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38739542 is divided by 1926.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2303 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 24 = 9*w - 26 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 3, 1, -5 in decreasing order.\nAnswer: 55, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/60 - z**2\/2 - z. Let f(l) be the first derivative of s(l). Suppose 0 = 2*g - 3*g - 2. What is f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*r**2 + 2740*r**2 + 2741*r**2 - 6323*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7 + 6*q**2 + 7. Let c = 76 - 67. Let h(l) = 3*l + 5 + 4*l - c*l - 5. Give s(h(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 941664 and 38760.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3048 or 3047?\nAnswer: 3048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 35 + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2*-1)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 257*h - 489. Calculate j(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -0.2, -5, -4 in descending order.\nAnswer: -0.2, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*t - 60*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9052402*r**2*v**5 - 4*r**2*v**3 - 38*r**2*v**2 + 16*r**2*v + 35*r**2 - 68*r*v**2 + r*v - v**2 wrt v.\nAnswer: -543144120*r**2*v**2 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.14682 times 4171\nAnswer: 612.38622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 217, 496, 855, 1288, 1789, 2352?\nAnswer: 2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(9\/(36\/(-16)))*-276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 3. Let u be a(-2). Suppose u - 20 = -v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let z = -93559\/2 - -46778. What is the third smallest value in -0.03, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23159.83 and 1077032.6.\nAnswer: 1053872.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c**2 - 11*c - 1 + 7 + c**2. Let t be d(11). Solve 3*m + 4 = -5*j, -3*j = -6*j - 3*m - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 2694*y**3 + 3*y**2 + 22656*y**3 + 2*y**2.\nAnswer: 19962*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/22 and -169\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 24054.\nAnswer: 96216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36241.84647152 from -0.46.\nAnswer: 36241.38647152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29302266 by 4883711.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2115*j**4 + 1319*j**2 wrt j?\nAnswer: 50760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -11*a**4\/12 - 9*a**2\/2 + 11*a - 7. Let b(d) be the first derivative of v(d). What is the derivative of b(z) wrt z?\nAnswer: -22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9320*v*z**2 - 2*v*z - 8*v - 9603511*z**2 with respect to v.\nAnswer: -9320*z**2 - 2*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 5*x**2 + 7*x - 2 - 4*x**3 + 8. Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*s + 16 = -6*s, 0 = 5*s + 5. Which is the second smallest value? (a) 0.1 (b) z (c) -11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -9*x - 32. What is the third smallest value in x, -4, -2\/33?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*s**2 + 3*s - 2*s**2 - 4*s + 195*s**3 - 192*s**3 in the form b + k*s**2 + n*s + u*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 56. Let g = 202 - 1820\/9. Is q < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:38 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1053) + (sqrt(1053) - ((-4 + sqrt(1053) - sqrt(1053)) + -2)) - -5*sqrt(117)*-3) + -2)**2.\nAnswer: 54*sqrt(13) + 9478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 351142, 702280, 1053412, 1404538, 1755658, 2106772?\n\"Answer: -3*o**2 + 351147*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1279 + 2840. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67625.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -7, -3, -5, -0.45?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2505 - 273. List the prime factors of m.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-160) + (-2)\/(-20). Which is the second smallest value? (a) -1 (b) x (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*q + 129883*k + 36779*q wrt k.\nAnswer: q + 129883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213767189 <= 213767189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -605*b**4 + 541*b**3 + 180*b + 12*b**2 - 201*b**2 - 20 + 4*b**2 - 1531*b**3.\nAnswer: -5*(b + 1)**2*(11*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*z**5 - 872*z**4 + 4372*z**3 - 2872*z**2 - 672*z = 0. Calculate z.\nAnswer: -2\/11, 0, 1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 203. Calculate the remainder when a is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425 times 0.12?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 less than -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*n - 4*p, 2*p + 7 = 4*n + 53. Let k(h) = -9*h + 9. Let d(g) = 1. Let w(y) = -4*y. Let c(x) = 4*d(x) + w(x). Calculate n*c(m) + 6*k(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*v + 52, 0*k = -5*k. Let n(i) = -2*i + 28. Let d be n(v). Solve 5*a + p = -16 - 9, 0 = d*a + p + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151)\/(6493\/688) + (-2)\/1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7054492, -7054489, -7054486?\nAnswer: -7054483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11816, 23628, 35440, 47252?\nAnswer: 59064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 5*m. Let c(x) be the second derivative of x**4\/12 + x**3\/3 + 3*x. Let o(p) = -10*c(p) - 4*h(p). Let d(f) = -f**2. Determine o(d(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 14, m: 5}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + 0*a + (-2 + 7 + 8)*(3*a - 3*a - 2*a) + 4*a - 5*a + 2*a.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5))\/(a**(-1\/12)\/a)*(a**(2\/13))**(-37) assuming a is positive.\nAnswer: a**(217\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (10 - 6) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 4*y - 32, 1224*w - 1228*w + 63 - 7 = -4*y for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7021)\/(-6018) - (-95)\/6. What is the greatest common factor of g and 19839?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 7*l**2 - 80 + 63*l + 15 - 20*l**2 + 32.\nAnswer: -3*(l - 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505\/10 - (-1)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/9)*x)\/x**(-8))\/(x**(3\/7))**(1\/33) assuming x is positive.\nAnswer: x**(6613\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3545329 decades in years?\nAnswer: 3.545329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = x + u, -3*u + u + 10 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 6*a + 4*b + 35, -6*b = -a + 8 + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348*l**2 + l - 62.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 18. Let b = -3 + k. Does 10 divide 40\/b - 2\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1728*-4\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = f + 39, -3*r - 50 = 2*r + f. Let m(q) = 21*q**3 - 6*q**2 + 11*q. Let n(z) = 4*z**3 - z**2 + 2*z. Determine r*n(w) + 2*m(w).\nAnswer: -2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.06508 * 9\nAnswer: 0.58572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17*k**2 + 4*k - 1. Let w be n(-3). Let s be (-6)\/14 - (-1320)\/w. Solve 0 = -0*t + 3*t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.2777 rounded to 1 decimal place?\nAnswer: -90.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 13. Let f be c(-9). Let t be (-1)\/(-3 - (2 - f)). Let p be (2 + -5 - -2)*t. Does -2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168749 is divided by 21088.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.3. Let t = -0.2 - k. Let o = -238 + 238.5. What is the third biggest value in t, o, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(2 - (-3)\/(-1)). Suppose 2*j - 23 = g. Suppose 440 = -j*h + 19*h. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8584 = -2*z + 2*y, -98*z - 3*y + 12906 = -95*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*6604\/(-254).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 99. Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/14025*-34)\/((-12)\/(-10)*1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*x + 7. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1745335)\/(-84725))\/(2\/(-10))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 5*g**4 + 4*g**4 + (-2*g**3 + 3*g**3 + g**3)*(g - g - 2*g) - 42*g**2 - 13*g**4 - 24*g**4 + 35*g**4.\nAnswer: -5*g**4 - 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/9 - 8*a\/9 + 4\/3.\nAnswer: -4*(a - 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-800)\/(-280))\/(2\/959). Let u = 2727 - n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542126?\nAnswer: 2, 13, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 415, 685, 1051, 1507, 2047?\nAnswer: 2665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - -5.1. Let i = 5.9898 - a. Round i to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*h + 20 = -0*h, -7 = -z + 4*h. Let d = 12 + -8. Calculate the remainder when z is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869 equal to 2873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = -5*d - 4, 0 = 2*d + 4*n + 8. Solve -o + d*p + 12 = 4*p, -2*p + 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:30 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let f be g(4). Suppose 5*o - 274 = f*d - 6*d, 3*d - 60 = -o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 10. Let h be k(-8). Suppose 6 = 7*v - h*v. Calculate the smallest common multiple of v and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9275501 is divided by 396?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 37. Let t = 4 + -13. What is the nearest to 0.1 in t, o, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/24)\/((-551)\/3306)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvcc when four letters picked without replacement from bbtcccvcbbbbvctvb.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 111*y - 5.\nAnswer: -111*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -3*m + 100. What is the common denominator of (-109)\/m + (6 - 2) and 77\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - 23\/4. Let p = c + 7. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8)*-2)\/(70\/(-392)*7)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4935 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 964295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(128) + sqrt(128)*4*6 + (sqrt(128) + 5*sqrt(128) + 0)**2).\nAnswer: 400*sqrt(2) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208 * 2.91.\nAnswer: 605.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78291 is divided by 26097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111101121 (base 3) in base 10?\nAnswer: -49129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 52 - 19*i**4 + (3*i**3 - 2*i**3 + 0*i**3)*(1 - 1 - i) to the form r*i**2 + p*i**4 + k + a*i + o*i**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 9 + 0*d**3 - 3 + 5 as j*d + m*d**2 + s + r*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -0.2, -148 in ascending order.\nAnswer: -148, -0.2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 8*l**2 - 9*l - 14. Let o be 3 + (5 - 4) + -11. Let c be i(o). Let t be (-3696)\/c - 4\/14. What is t rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230 or 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2137, -2031, -1925, -1819, -1713?\n\"Answer: 106*a - 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*c + 196. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 20 = t, -4*t - 4*v + 2*v + 30 = 0. What is the third derivative of w**5 - 2*w**2 + 8*w**2 - 3*w**t + 5*w**5 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30697, 57361, 84027, 110695, 137365?\n\"Answer: f**2 + 26661*f + 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -458?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 14*v**2 - 12*v - 11. Let a be c(13). Let r(m) = 5 - 3 - 1211*m + 1213*m. Calculate r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e066 - a3?\nAnswer: dfc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/8, 0.05, 4, 2 in descending order.\nAnswer: 4, 2, 7\/8, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -110384.34 and 16.\nAnswer: -110368.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, 115, 495, 1027?\n\"Answer: 76*u**2 - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49272101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 601*f**2 + 11*f + 6. Let i(d) = 901*d**2 + 16*d + 8. Determine -5*i(c) + 7*r(c).\nAnswer: -298*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 10*t**2 + 174*t - 342. Calculate i(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjljtp. Give prob of picking 1 t and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 32. Calculate the smallest common multiple of t and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -2*21\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 863. Suppose 2706 + r = 56*a. Which is smaller: 59 or a?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5 + 1 + 9*m - 2 + m**2. Let h be b(-9). Suppose -h*w = -94 - 82. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 1, z: 2, t: 1, r: 4, o: 2, e: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*g - 85*g - 470. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-453845768)\/6*(3 + -111). Let w be i\/306 - (-4)\/34. Suppose -w = -2*n - 6296810. What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2458183?\nAnswer: 7, 13, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 25990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 2*v + 2*v)*(130420*v - 260109*v + 131429*v) as c + n*v + t*v**2 and give t.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1215519 or 1215660?\nAnswer: 1215519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 380, 350, 154, -292, -1072, -2270, -3970, -6256?\n\"Answer: -14*t**3 + t**2 + 65*t + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + -7 - (-6 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5589*y**3 + 11*y**2 - 22739*y + 18 wrt y.\nAnswer: -33534*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 0.04. Let k(u) = -3*u + 59. Let y be k(19). Which is the second smallest value? (a) w (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/12 + a**3\/3 + a**2 + 3*a. What is the units digit of b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202000012100111 + -212?\nAnswer: -202000012101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 31 = 3*v, -5*d - 9201 = -6*v - 9152 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(2058) - sqrt(2058)*4))\/((sqrt(648) - sqrt(648)*2)\/(sqrt(189)\/sqrt(7))).\nAnswer: 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 + 2*j**4 + (-j**3 - j**3 + j**3)*(-3*j + 5*j + 0*j) - 3*j**4 - j**4 + 3*j**4 + (-j + 0 + 0)*(0 + j**3 + 0).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -3093 and -3093 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u. Let a(t) = 6*t + 319. Calculate q(a(y)).\nAnswer: -24*y - 1276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29050543444.1 - -98\nAnswer: 29050543542.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1185234, 1185238, 1185254, 1185288, 1185346, 1185434, 1185558, 1185724?\n\"Answer: t**3 - 3*t + 1185236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j. Let r(f) = -24*f. Let k(h) = 2*h. Let m(o) = -6*k(o) - r(o). Calculate y(m(s)).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 9 + 15 - 1 - 7. Let q be n(8). Solve 2*w + 6 = -2*b, 0 = 5*w - q*w - 2*b - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 3*f)*((-1 - 1 + 4)*(-1 + 2 + 1) + 3 + 2 - 1).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288 = -79*u - 3236 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 3, b: 2}. Give prob of picking 1 b, 2 w, and 1 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 10995, -0.4, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(504)\/sqrt(2) - ((sqrt(49)*-3 - sqrt(49))\/sqrt(7))**2) + (sqrt(700))**2 + sqrt(1008)\/sqrt(9).\nAnswer: 11*sqrt(7) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(2*(sqrt(72) - (2*sqrt(72) + sqrt(72) + sqrt(72))) - 1*-1*1*sqrt(2)))**2.\nAnswer: -1680*sqrt(2) + 88216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcb when three letters picked without replacement from yjcbcccyccrbcyyc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -497 - 3763. Let m = -489 - j. Suppose 5*g - m = -0*g + q, 0 = -2*g + q + 231. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.3 (c) 0.23 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 386611128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1.7. What is the closest to 3\/7 in 1, z, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 92*c + 28*c + 24*c - 16*c to a*c + i and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25 - -14)*(-90)\/55 is divided by (5 - 9 - -5) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2875002966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(2206204\/174)\/133.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let p(z) = 6*z**2. Let y(u) = -u**2. Let d(j) = -p(j) - 3*y(j). What is g(d(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32027, -64053, -96079, -128105?\nAnswer: -160131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -32333402?\nAnswer: -32333410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*x + 85. Suppose 161 = -v + 3*v + 3*k, 0 = -2*v + 3*k + 155. Let b = v + x. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367 + 69065799\nAnswer: 69066166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -202083095 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3)\/(-2))*(-888)\/333?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -225400192 divided by -14087512\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122616 (base 8) to base 13.\nAnswer: -163a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 6*r - 8. Let q be i(-4). Suppose q = -2*c + 3*o - 5, -4*c - 4*o + 22 = c. Suppose c*g - 133 = 27. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 49*c + 63. Let v be x(-3). What is v rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45392.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*g - 18 = -4*w + 382*g, 3*w = 4*g + 11. Calculate the highest common factor of 3685 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 3563\/3, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -11781.\nAnswer: 1\/11781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 298967779 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 8 = -3*d + 1, -z = 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 + 267*b + 119 - 265*b + b**2 + 3*b**2 to x*b**2 + o*b + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*y**6 - 42591*y**5 - 2*y**3 + 191961465*y**2 wrt y.\nAnswer: -7680*y**3 - 2555460*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.2 - 31. Let k = b - 0.7. What is the nearest to 0.1 in 1, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-40)*54\/(-222). Let q = m - -1\/74. Let u be 4\/6*(-27)\/63. What is the closest to q in u, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4715849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 1. Let z be -2 + -6 - (-3 + 0). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -282*u**3 - u**2 + 36*u + 1155. What is the second derivative of b(a) wrt a?\nAnswer: -1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -69 - 28*j**2 + 57 + 23*j - 21*j - 42*j = 0.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/360 - b**5\/30 - 7*b**4\/24 + 13*b**3\/6 - 11*b**2. Let u(y) be the first derivative of p(y). Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 116*a**2 + 43*a**2 + 40*a**2 + 31*a**3 + 33*a**2.\nAnswer: 31*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n - 6. Let g(u) = u**2 + u + 6. Let i(y) = -6*g(y) - 5*w(y). Let t(s) = -s**2 - 5. Determine 2*i(q) - 3*t(q).\nAnswer: q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: dbd0 (base 15) to base 5\nAnswer: 2442140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -23)*2\/(-6). Let u be (-9)\/2*a\/(-12). Let x be (-34)\/(u + -2 + -3). Solve -5*n - 29 = 2*w, -5*w - 3 - x = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1280*j**4 - 3*j**3 + 17887*j**2 wrt j?\nAnswer: -30720*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.63 - -0.37. Which is the third smallest value? (a) 1\/10 (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1886250 and 5000.\nAnswer: 7545000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - t - 4*t = -55, -2*d + 3*t - 19 = 0. What is the units digit of 8\/d + (-358)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. What is the least common multiple of 7 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104506 + -12130?\nAnswer: -116636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b + 8 - 8 + 26*b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**6\/360 - v**5\/120 - v**4\/12 + 2*v. Let j(g) be the third derivative of p(g). What is the first derivative of j(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1032 - 677. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 48 = -3*g + g, o = -3*g + 5. Let w = -1 + 13. What is the remainder when (12\/(-15))\/(o\/(-245)) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*p**3*x**2 - 11780*f**2*p**3 - 3*f*p**3*x**2 + 8*f*p**3*x - f*p**3 + 7*f*p + 2*x**2 wrt f?\nAnswer: 2*p**3*x**2 - 23560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jada when four letters picked without replacement from {a: 2, d: 2, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7 + 2 + 2 + 0*n - 4*n. Let q be v(-12). Sort -4, q, 2 in decreasing order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 44. Which is the nearest to 0.3? (a) l (b) 1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -14021?\nAnswer: -14018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*i + 22. Let o(c) = 2*c - 4. Let m be o(i). Find the first derivative of -m*j + 2 - 2*j + 3*j wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s - 1. Let h be i(11). Suppose f - 41 = -0*o + 4*o, 0 = -4*f + 5*o + h. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5354 or -5?\nAnswer: 5354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1493*x - 3. Let t(s) = -2*s**2. Give y(t(q)).\nAnswer: 2986*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82393.\nAnswer: 82393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98) + -2 + sqrt(98)).\nAnswer: -56*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1389, -3043, -4733, -6459, -8221, -10019?\nAnswer: -11853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/336 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 620cce7?\nAnswer: 620cce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = b - 181. Let m = -271 + b. What is the tens digit of (m\/(-9))\/((-6)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o)*(100*o**2 - 52*o**2 + 300*o**2) - o**3 - 2*o**3 + 4*o**3.\nAnswer: 349*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l + 1. Suppose -37*v - 5*v + 21*v = 59*v. What is the biggest value in v, 0.011, l?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10250 + -1?\nAnswer: 10245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-180))\/(5019\/478)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + 3*s - 1. Let y be t(2). Let r be ((-2)\/4)\/(y\/28). Suppose -x - 2*p = -9, r*x + 1 = 4*p + 3. Solve -5 = x*n, -n + 4 = -3*g - 2*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t = 73*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 9 - (-3 + (-4 - (3 - 8)) + -2)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 30. Let t be m(0). Let c be -2*(t\/(-4))\/(-5). Solve c*r = 12 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 11*f - 4*f + 3*f. Suppose 24 = 3*y + y. Let r(z) = y + 3*z - 6 - z. Calculate r(n(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 8\/1)*2. Let w(o) = -o + 1. Let r be w(1). Suppose r = 2*q - 0*q - 24. Calculate the highest common divisor of q and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7529, -2\/9.\nAnswer: -2\/9, 0.3, 7529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15398 is divided by 5520.\nAnswer: 4358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 316781699.\nAnswer: 1267126796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7868 or 39342\/5?\nAnswer: 39342\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/(-14)) - (1 + -12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 - 7*c - 3. Let g be w(7). Let o = 5 + g. What is the units digit of (5\/o + -1)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.16 + -38.3. Let n = -0.06 + f. Let u = -7.2 - n. Which is the third smallest value? (a) u (b) 6\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.1 (b) 6 (c) 1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33675 is divided by 33514?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.7 - 20.7. What is the biggest value in -100, a, -3\/7, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 3*c - 3. Let h(t) = 12*t**2 - 17*t - 17. Determine 6*h(p) - 34*w(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -337021 to the nearest 1000.\nAnswer: -337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/40*96\/10. Are j and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7435 * -2\nAnswer: -14870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 m, and 1 i when four letters picked without replacement from ppipmmpixiipxpphx.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5\/6 (b) 1\/10 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -16. What is the second derivative of -g + 15*g**s - 15*g**4 + 3*g**5 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28*r = 0. Solve r*t = 5*t + 4*g - 25, 0 = -2*t + 5*g - 23 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.01 - 0.01. Let o = m + -22.9986. What is o rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 92. Let o be g(-8). Suppose o*n + 68 + 32 = 0. Let z(a) = 2*a**3 + 2*a**2 - 3*a + 1. Let y be z(-3). Is y greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4724, -9418, -14038, -18548, -22912, -27094, -31058, -34768?\n\"Answer: 6*h**3 + h**2 - 4739*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 4*u - 3*u - u**4 - u**3 + 2*u**3 as o + s*u**3 + x*u**4 + z*u + q*u**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + sqrt(11))**2*-6*1 + (-2*(sqrt(11) + -1)**2 - sqrt(121)\/(sqrt(33)\/sqrt(3))).\nAnswer: -288 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 220, 309, 362, 373, 336?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404 + -257. Let l = h - 143. Let g(c) = -c**2 + 5*c - 6. Determine g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432098.\nAnswer: 2, 59, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/63 and -25\/78245097?\nAnswer: 234735291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88171.17 nanometers?\nAnswer: 0.00008817117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729115.\nAnswer: 3, 5, 7, 54563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -37. Let k(d) = d. Let j(g) = -3*k(g) - z(g). Let a be j(8). Is 13 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) -5\/801 (c) 5 (d) -1 (e) -1.1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2 - 24*c + 45 = 0. Calculate c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53\/(2\/8*1). Suppose f = 4*s - 100. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1147153616*p - 1335668619?\nAnswer: -1147153616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -74, 25, 5, 124, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 4*a**2 + 3*a + 2. Let w(j) = -6*j + 106 + 120 - 227 - j**2 + 5*j. Suppose 0 = m + 2 - 1. Give m*k(s) - 3*w(s).\nAnswer: s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.0253 litres in millilitres?\nAnswer: 914025.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*v**2 + 13*v**2 - 15*v**3 + 2*v**3 - 2 + 2 + (-2*v + 0 + 0)*(0*v - 2*v**2 + 0*v) + (13 + 9 - 2)*(-v**3 + 0 + 0).\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, s: 1, i: 12}. What is prob of sequence nsi?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*l - k, -3*l - 2*l + 45 = -4*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 90*p - 25. Let l(b) = 73*b + 2. Let w(t) = 81*t + 2. Let g(f) = 11*l(f) - 10*w(f). What is -40*g(v) - 3*i(v)?\nAnswer: 10*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84840 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/10*5*520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*l*y**3 + 16*l*y + 2*y**2 wrt y?\nAnswer: 870*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 4:48 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 28969 = -29387 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -69a0b (base 16) to base 13\nAnswer: -121c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 3. Let b be v(-7). Let o = 19 + -5. Let d = o - b. Solve 0 = z - d*r, 3*r - 13 + 6 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.589 + -1.589. What is the closest to -1 in -2\/13, 1\/5, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 - 2*w - 17. Calculate s(5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8903720?\nAnswer: 2, 5, 7, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 106*j + 261*j as u*j + d and give u.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = -4*v + 4, -5*l + 4*v = 12. Suppose -7 = 3*f + 29. Let m be (-9)\/f - (-1 - -2). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(275) - (sqrt(275) + (-1*sqrt(275) - sqrt(275)))) + ((sqrt(275) - (-1 + sqrt(275))) + sqrt(275) + -5 - (-5 + 2*sqrt(275))) + 0 + 2)**2.\nAnswer: -750*sqrt(11) + 171884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 100277, -2\/3, 5, 4, -0.16?\nAnswer: 100277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789917313.\nAnswer: 2423, 1151431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.34024 from -0.157.\nAnswer: -15.49724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 209666573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*o = 2607 + 13233, -5*s + 79320 = -4*o. What is the common denominator of 1\/40 and 10\/(-25) + 169\/s?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 472c3 + -286?\nAnswer: 4703d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6584, -6646, -6706, -6764, -6820, -6874?\nAnswer: -6926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629550591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (56 - (-55 + 72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 32 + 6)*((c**3 + 1 - 1)*(-2*c - 2*c + 3*c) + 0*c**4 + 3*c**4 - 5*c**4 + 3*c**4 - 5*c**4 + c**4 + (0 - 1 + 0)*(-c**4 - c**4 + c**4)).\nAnswer: 198*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4989*i - 20067. Let x be f(-4). Suppose 0 = -b - 70 - 41. Is x < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) + sqrt(153))*2 + 6*(-1*sqrt(153) + sqrt(153) + sqrt(153)))\/(sqrt(45)\/(sqrt(180) - (sqrt(180) + sqrt(180) + sqrt(180)*-6 + sqrt(180)))).\nAnswer: 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 16?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f**2 + 8541*f - 2387. Calculate u(388).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274575 is divided by 90?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7450199.1 milliseconds in hours?\nAnswer: 2.06949975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -2*p - 2, -2*z + 3*p = -8. Suppose z*r - n = 15, 2*n + 18 = -r + 5*r. Let y be 1 + -14*(-3)\/6. Solve 5*h + 7 - 23 = -f, -h - r*f - y = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2, -11\/4, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 - 9*o + 52. Determine r(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:08 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 426 and -1?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70592518907780181 - 70592519318761952.79999947. Let u = -410981769 - i. Let r = -2.8 + u. Round r to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -j. Let i be 1\/j*(-16)\/28. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377927, 755869, 1133811?\nAnswer: 1511753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a factor of 3480659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1314611\nAnswer: -6573055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 + 39*m**4 + 106*m**3 + 99*m**2 + 16*m - 12 = 0.\nAnswer: -6, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, d: 2}. Give prob of picking 1 d and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -2*x, -5*c - 6*x = -3*x - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11871864*i**4 - 10969435 wrt i.\nAnswer: 47487456*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 338, 5, -13, -4 in descending order.\nAnswer: 338, 5, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 23. Suppose -f = -11*a + 6*a. What is the second derivative of -a*s + 9*s**2 - 39 + 39 - 5*s wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Let z = 2 + r. Suppose -3 = -z*j + 72. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -5 + -1 - -1*9. Solve l = -s + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992770 = -2*s + 2*f, -17*s - 5*f - 496409 = -18*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23126 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 2*z**2 + 2*z - 2*z**2 - 14*z**2 + 66.\nAnswer: -14*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1052218317 to the nearest integer?\nAnswer: 32438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 - -75118?\nAnswer: 751c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916227 is divided by 324025.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129650819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -229574.626 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 + -40. Calculate the remainder when n is divided by (-2 + 4)\/((-4)\/(-86)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*k**2 - 2*k**3 + 214 + 2*k + 0*k**3 - 442 + 231 to z + g*k**2 + d*k**3 + c*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620 divided by -155.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -15. Sort s, -5, 0 in decreasing order.\nAnswer: s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564839 is divided by 632.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(90))\/sqrt(6))\/(-4*sqrt(25)\/sqrt(5)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -9, -1154, -9\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/23*1\/(-18).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 4*q**3 + q**3)*(-3*q - 4*q + 5*q) + (4 - 4 + 2*q**3)*(0 + 2*q + 0).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/4 + k**2\/2 - 2*k - 104. Give t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7\/24*q**4 + 1\/60*q**5 - 28*q**2 + 25\/6*q**3 + 0*q + 0. Let t be m(-6). Solve -3*y + 5*i + t = 0, 3*y = -i + 5*i + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 30 = -a + 12, 3*j - 186 = -4*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2 - (-67 - 6). Let n = 86 - j. Suppose 55 - 10 = n*g. Solve g*h + 8 = -i, i + 4*i + 10 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -385 + 47. Suppose -9*l = -3*p - 5*l, -7 = 2*p - 5*l. Solve 0 = -9*f - p*f + u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 745143?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - 5*b + 30, 3*b = 5*h. Solve 4*v - 3*k - 14 = 0, -h*v - k = -0*v - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 6. Let c = 3 - 0. Suppose 5*v = -q - 6 - 0, 2*v = c*q + 1. Put d, -5, v in descending order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1293*f**3*u**3 - 163*f**2*u + 4*f*u**3 - 2*u**3 wrt f?\nAnswer: 7758*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*(-6)\/(-16)*(2 + -138)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 4\/494843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259922 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3415396 to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-28))\/((-1)\/2). Calculate the remainder when 73 is divided by 4*(q + 46\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37705488 is divided by 2356593.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 11) + 9 + (-6 - 2) + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7440 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.043 + 123.043. Let y = -125 + a. Sort -2\/3, 1\/9, 0, y in decreasing order.\nAnswer: 1\/9, 0, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5178260 and 4256.\nAnswer: 289982560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.123 - 1.123. What is the nearest to -0.1 in 0, -19, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -749 + 2440. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r = -252 + 62 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53345 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: b\"What is the lth term of -1225, -2437, -3635, -4813, -5965, -7085?\n\"Answer: l**3 + l**2 - 1222*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4354416 and 3168?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -5 - (-21 + -10). Suppose 4 = l, 4*k - 18*l + 15*l = m. Solve -7 = -k*u + 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dc5 (base 15) in base 11?\nAnswer: 7454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 r, and 1 d when four letters picked without replacement from kxxdixhhdrkrrkrhh?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(((g\/g**(2\/43))\/g)\/g)*g*((g*g\/(g\/(g*(g*g**20\/g*g)\/g))*g)\/g)\/g assuming g is positive.\nAnswer: g**(1034\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/21)\/((-4)\/(-78)). Let g = n - 9. Let q = 52 - 415\/8. Which is the smallest value? (a) -2\/3 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 27*h + 7 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -371 - 9*(-5)\/(-15). Let d be ((-1)\/6 - 0) + l\/(-12). Suppose 0 = 28*u - d*u - 138. What is the common denominator of -38 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 0, 1816 in ascending order.\nAnswer: -5, -3, 0, 2, 1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1088\/4760*(-4)\/16?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1447, 1432, 1413, 1390?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 + 5*b**3\/2 + 3*b**2 + b + 8. Let f be v(-15). Solve 7*s = s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*l**4*t + 7*l**2*t**3 + 16*l*t**3 + 3*l*t**2 + 4*t**3 wrt l?\nAnswer: -156*l**2*t + 14*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p + 79. Calculate u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) -3\/5 (b) -1\/11 (c) -0.1 (d) 65\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32646 is divided by 776.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*b - 146 = 0, 5*b - 300 = -4*o + b. Is o at most 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 9*a - 1100 = 0. Suppose -2*u - 5*b = -380, -9*u + 10*u - a = 5*b. Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**3 - 90*v**3 - 35*v**3 + 6*v**3.\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i + 94*i - 43*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 5*k - 1, 3*k = -f + 7. Let n(b) = -3*b + f*b + 2*b. Suppose -4*c - h - 3 = -2*c, c - 6 = -2*h. Determine n(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let n be 8\/12*30\/o. Solve 17 - n = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/330 and 2\/2094627.\nAnswer: 230408970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 146*y - 466. Give d(5).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*b. Solve -4*k + 0*k - 20 = b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 10*o + 12. Let t be h(9). Suppose t = -0*x + x. Suppose -17*a = -a - 128. What is the remainder when a is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21950181 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24101056, -24101049, -24101042, -24101035, -24101028, -24101021?\n\"Answer: 7*b - 24101063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 4*j**2 + 6. Let o be -3 + -4 + 2 + -1. Let m(v) = -3*v**3 + 3*v**2 + 5. Calculate o*m(s) + 5*c(s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 17038?\nAnswer: 85190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k = 31*k - 3*a + 358 - 398, -6*k - 3*a = 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = -5*n - 47, 3*n - 136 = -2*o - 141 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/39756 and -71\/54?\nAnswer: 357804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/12)\/(6*7\/(-1002771))?\nAnswer: 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 2a42?\nAnswer: 2a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0588358 and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165733422 to the nearest integer?\nAnswer: 12874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(2\/(-18)). Suppose j*r = -2*r. Suppose r = 5*f - 25 - 15. What is the lowest common multiple of 14 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*l + 2, 3*l + 26 = 3*n - 28. Find the second derivative of 3*o**5 + 20*o**5 - 6*o + n*o**5 wrt o.\nAnswer: 740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2689*d + 9833*d - 2849*d as q*d + i and give q.\nAnswer: 9673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4101549 by -4593.\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -4.\nAnswer: -17, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*c = 198, -5*p + 0*p = 4*c - 1001. Is 34 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbwwwfbdgbj. Give prob of picking 1 g and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -4)\/((-4)\/6). Let o be 1\/g + 604\/(-21). Let s = -290\/7 - o. Calculate the common denominator of -125\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 7*w**3 - 7*w**3 - 13*w**2 + w**3 + 13*w**2 + (0 + 0 + w**2)*(3*w - 5*w + 3*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 20 = 2*c - 12 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(9\/2)*m*m**(-3\/4))\/(m**(3\/13)\/m*m*(m**(-3\/11)\/m)\/m*m) assuming m is positive.\nAnswer: m**(3885\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m**2 - 3*m + 10. Let b be z(0). Put -5, -1, b in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 87, 4 in decreasing order.\nAnswer: 87, 4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 11\/6*t**4 - 1\/28*t**8 + 0*t**3 + 3 + 0*t**7 + 0*t**5 - 59\/30*t**6 + t**2 - 28*t. Find the third derivative of b(s) wrt s.\nAnswer: -240*s**3 - 1416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15174660 rounded to the nearest 10000?\nAnswer: 15170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*r - 16 = -7*n, 3*n - 11 = r. Let j(i) = -2*i - i**2 + 0*i**n + 0*i + 7*i + 5. Calculate j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -911 less than or equal to -920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.683 rounded to two dps?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_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: Calculate the remainder when 1294 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1440 + -1296. What is the lowest common multiple of 72 and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*l - 2, 1 - 7 = -2*x. Let h be l\/(4\/3)*-2. Which is the second smallest value? (a) -4 (b) -10 (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1023, 2455, 1, 3 in descending order.\nAnswer: 2455, 4, 3, 1, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124124772 to the power of 1\/2, to the nearest integer?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59*3.2.\nAnswer: 188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/402)\/((-14)\/357*-17)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*4 - -1*(sqrt(204) + (-3*sqrt(204) - sqrt(204))))\/(sqrt(48) + sqrt(1200) + sqrt(60)\/(sqrt(5)*3)).\nAnswer: 15*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1573) + -1)*-4*-3 - -3*(sqrt(1573)*-1 + -2 + -1*sqrt(1573) + -2))**2.\nAnswer: -6336*sqrt(13) + 58932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 22836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18287 or -17221?\nAnswer: -18287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 54 = 9. Let c = 7 + -1. Suppose -x = -c*x + 215. Calculate the remainder when x is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341300111 (base 5) in base 15?\nAnswer: -485e06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 594609373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119099 is divided by 1550?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2748\/(-41678))\/(3\/7).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/25 - 15*s**4 - 8512*s**3\/5 - 25088*s**2\/5 + 2*s - 480. Find t, given that y(t) = 0.\nAnswer: -112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 - -1.5. Which is the nearest to r? (a) -0.2 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/10*42\/10*2. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-27)\/(-10) - 3)\/((-1848)\/11620) and 25\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-124)\/(-279)*((-10)\/(-16) - 1). Suppose 0 = -0*u - 3*u - 3*d + 18, -2*u - 4*d + 18 = 0. Put u, 2\/3, v in decreasing order.\nAnswer: u, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a**2 - 72*a**2 - 57*a**2 - 4*a**2 to the form p*a**2 + j*a + s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8\/14 + 5910\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -693\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -3 (b) -2 (c) 1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/84 + 2*t. What is p in v(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.952177ml to litres.\nAnswer: 0.001952177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 16. Let l = d - -12. Suppose 0 = -l*h - 4*n - 3479992, h = -h - 3*n - 1739994. Round h to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - r + 15 - 4 = 0, -2*z = 5*r - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -222*l + 149*l + 949 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1899*q - 38. Let j(a) = -5698*a + 122. Give -16*i(s) - 5*j(s).\nAnswer: -1894*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-796 - 802 + 1561 - 3*d + 3*d**2)*(2 - 4 + 1)*(-3*d**2 + 4*d - 4*d) to the form v + k*d + l*d**4 + y*d**2 + m*d**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86712813.\nAnswer: 3, 11, 29, 30203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -75, -77, -55, -3, 85?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -445550?\nAnswer: 445531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/((g**(-6\/11)*g*g)\/g))))\/g**(-18))\/(g\/g**(-2\/43)*g)**(3\/5) assuming g is positive.\nAnswer: g**(40956\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64780 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 88.7. Let v = 0.0981858 - -4.2018004. Let u = p - v. Round u to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132.4 + 348.4. Sort -0.4, o, -3\/5 in decreasing order.\nAnswer: o, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5597 - 226.1403. Let w = 227 + t. Let n = 2209\/11 - 201. What is the nearest to w in 0.3, n, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4 + 8*z + 2*z**2 + 6 + 9 + 5*z**2. Let b be v(-6). What is the third biggest value in -0.1, b, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78, 116, 152, 186, 218, 248?\n\"Answer: -d**2 + 41*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - 3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88269 is divided by 2444.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(750) - (sqrt(30) - (sqrt(30) - 2*sqrt(750) - sqrt(30))))\/((sqrt(750)*-1)\/(sqrt(15)\/(-2*sqrt(5) - sqrt(5)))))**2.\nAnswer: 16\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 2*x**2 - x + 1 - 1 - 2*x**2 + (-2*x**2 - x**2 + x**2)*(2 + 4 - 4) + 402*x**2 - 2*x - 217*x**2 + 3*x + 327*x**2 as l + a*x**2 + w*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 147 + (-90)\/(12 - 2)?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1063.4 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*l = 20, -4*q + 3*l = -0*l - 13. Calculate the remainder when 23 is divided by q + (-1)\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*x + 7 = 0, -19*s + 15 = -15*s + 3*x. Solve 0 = -s*c + 5*n - 31, -4*c + 7 = 2*n + n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h + 2*a - 314, -2*a = -5*h + 397. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose -7*t - 8 + 29 = 0. Suppose -m + w*h + 47 = 0, -t*m + 56 = -h + 3*h. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -31. Let o(t) = t**3 + 3*t**2 + 6*t + 6. Let c be o(-4). Let q = z - c. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (246 - 298 - ((-6 - -2) + (7 - 4)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 95608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61628766?\nAnswer: 2, 3, 10271461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (550\/33)\/(-25)*12\/(-5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867544 (base 9) to base 8.\nAnswer: 1762272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/204477 and -46\/1976611?\nAnswer: 5929833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -348*s**3 - 6*s**2 + 5*s - 2. Let h(b) = -694*b**3 - 11*b**2 + 9*b - 4. Determine 6*h(f) - 11*w(f).\nAnswer: -336*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 16 - (0 + 6) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2 + -2)\/(94\/(-282)). Solve 2*d - 5*y + 2*y - 4 = 0, 0 = w*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4794*w - 6659 = -5427*w - 962 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 17 = 5*r. Let t = 39 + 96. Let j be (t\/18)\/((-1)\/(-6)). What is the greatest common divisor of j and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10240882 to the power of 1\/2, to the nearest integer?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -94657, -5, -2\/11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-6) + -4 - 3\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 184935, 182996, 181059, 179124, 177191, 175260?\n\"Answer: q**2 - 1942*q + 186876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 4642\/77. Which is bigger: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(21*n**5 + 226*n - 226*n)*(4 + 1 + 0).\nAnswer: 315*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*i = 2*i - 8, -44 = 7*d - 9*d + 7*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16808453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.058 - 28.942. What is the second biggest value in -1\/5, 5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141454031 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023119059 to the nearest integer?\nAnswer: 44979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -q + 18, -3*q + b = q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 9*q + 8. Give d(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 + 2*s + 6. Let c be o(-6). Let p = c - -7. Sort p, -4, 5 in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/140*14\/(-12). Let h(l) be the third derivative of -6*l**2 + 0 - 1\/6*l**3 + 0*l - n*l**4 - 1\/30*l**5 - 1\/120*l**6. What is h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248320*a**3 + 302506*a**3 - 39439*a**3 - 57090*a**3.\nAnswer: 454297*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1534, -1520, -1506, -1492, -1478?\n\"Answer: 14*v - 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/74 or 1?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 56 + 59. Let w = y - -84. Calculate the remainder when w is divided by (-187)\/(-9) - (-10)\/45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16790289 is divided by 8395139?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t - 84*t + 35*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 37*z + 105*z - 32*z - 34*z.\nAnswer: 2*z - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:49 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + (-208)\/48. Let k = j + -5. What is the remainder when (-216)\/(-20) + (-2)\/k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/5)\/((24\/130)\/(1208\/1963))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - -24 - ((76 - 32) + -34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/13, -14\/9, -0.4, -5.\nAnswer: -5, -14\/9, -0.4, 9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 963, 946, 929, 912?\n\"Answer: -17*y + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {e: 2, t: 1, b: 3, i: 1, a: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.68 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - (-35)\/10. Let x be (-5)\/p*(-9)\/10. Sort x, 2, 3 in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 551307828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -76, -30, 76, 242, 468?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 14. Let z be q(14). Let v(g) = -g - 2. Let b be v(z). List the prime factors of (-40)\/b + 0 + 2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/8)*(w*w**(-22)*w)\/w*(w**(5\/3))**(-22\/5) assuming w is positive.\nAnswer: w**(-677\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10562720 rounded to the nearest ten thousand?\nAnswer: 10560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*f - 43, 5*u + 5*f + 1 - 36 = 0. Suppose r - 7 - u = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/277290 and -1\/10270.\nAnswer: 277290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1063066485 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 56367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(75) + -1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290\/3 - 2651\/30. Suppose -v + 3*h + h = -10, 3*h = 2*v - 5. Calculate the common denominator of y and (0 - (-2)\/(-8))*53\/v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59876*v**3 + 17984*v wrt v.\nAnswer: -359256*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6311.434ml?\nAnswer: 6.311434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.6 - 9.77. Let q = 0.17000028 + y. Round q to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.452892 rounded to 2 decimal places?\nAnswer: -47.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*20\/(-125)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l\/(l**(-2\/25)*l))\/(l*l**9\/l*l\/(l*l*l**(1\/3))) assuming l is positive.\nAnswer: l**(-1244\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba - 1?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68583 > 68615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8550186 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 859.7197.\nAnswer: -13755.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, b: 3, e: 4}. What is prob of sequence kke?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2027*o + 6579 = 39011 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -235. Suppose -44 = -4*b + g. Suppose 47 + b = 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bbbbkbbbkbbbbbbkbb.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33195 and 232602?\nAnswer: 2573741130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 18*j + 19. Give p(17).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100 + 10202111?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*d + 8, 613*y - 682*y = 3*d + 66 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/9*61\/629520*36.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 1224*m + 101.\nAnswer: 1224*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8 - 8. Is 7 a factor of 132\/16 + 3\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 39*g + 5. What is f(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2250 (base 8) to base 4\nAnswer: -102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/140*8)\/(2\/10). Let q = -5 - -9. Suppose -h*l = 2*l - q. Put 2, -5, l in decreasing order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*o = -6 - 8, 3*k - 26 = -5*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -548110 divided by -590?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-70)\/1617*(-44)\/(-16).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.65 - -0.35. Suppose 8 = 4*w - 12. Sort -0.5, s, w in descending order.\nAnswer: w, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (0 + 1*(sqrt(931) + -3)*5 + 1)*5)**2.\nAnswer: -1172998 + 47600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2220100220001001?\nAnswer: 2220100220000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 5352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2296726 divided by -2.\nAnswer: 1148363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 9*q + 9*q to d*q**2 + z + w*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 35 = -3*s + 5*o, -s - o - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29230073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-9)\/(-105). Let c be (3\/(-2))\/((-1)\/2). Suppose 2*h + 4*m = -12, 5*h + 2*m - 3*m - c = 0. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 11\/3*m**3 + 21*m**2 - 28 + 2*m. What is the second derivative of s(t) wrt t?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1843078 equal to -1843078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**3 - 333*t**2 - 85*t - 73. Give l(-33).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 + 2*t + 1. Let q be p(-2). Suppose q = 2*u + 7. What is the highest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 25. Let a(c) = -6*c + 49. Give 6*a(i) - 13*o(i).\nAnswer: -10*i - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-72))\/(2\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1005, -3\/5, 5?\nAnswer: 1005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/109663 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/3))\/j)**12\/((j\/j**(3\/2))\/(j**(-3\/4)\/j)) assuming j is positive.\nAnswer: j**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*b = -3*w + 21, w - 4*b + 9 = 0. What is the derivative of w*l**4 + 374 - 170 - 3*l - 345 wrt l?\nAnswer: 44*l**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 118012 = -6*l - 6050. Does 37 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 11*j**2 + 28*j + 7. Calculate l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2)\/sqrt(3))\/sqrt(2).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v**(2\/7))**14)**12 assuming v is positive.\nAnswer: v**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 98*c**2 + 22831*c - 703. Calculate w(-233).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 - (-5 - -4 - 0) - (-120 - -107).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 2*v - v to d + c*v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133715 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: Express (3 + 14978*r - 37 - 14993*r)*(0 + r + 0) in the form o*r + a*r**2 + m and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.6? (a) 0.2 (b) -1\/6 (c) 968.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 192. Let f(g) = 33*g**2 - 1. Determine l(f(z)).\nAnswer: 132*z**2 - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/27 (c) -122 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41836 = -30*p + 38924. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 13*t - 6*t)*(2*t**2 + 3*t**2 - 4*t**2).\nAnswer: 7*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (190\/(-57))\/((-3)\/8136). Let o = 32781 - n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = m + k + 11, 5*m - k - 21 = 0. Suppose -f = -2*l - 2 - 7, 0 = -l + 2*f. Let h be -4*(-3)\/l + 5. Solve p = -m*g + 7 + 1, h*g + 6 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1412897 and 0.1.\nAnswer: -141289.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 12*g + 20 = 0. What is the second biggest value in 5, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 271.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 40. Let t be (-1 + 1)*(-4)\/i. What is the third derivative of -24*k**2 - k**3 + 21*k**2 + t*k**3 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-1)\/2)*22. Let f be (1 + h)*(-2 - 0). Calculate the highest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = z + 4*x, 2*z + z + 5*x = -33. Which is greater: 1\/5078 or z?\nAnswer: 1\/5078","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 145*j**2 - 43*j - 90. Is 25 a factor of t(73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198385 divided by -39677\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + 4 + -3 + (-15 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2120, -4298, -6476?\n\"Answer: -2178*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, x: 7}. Give prob of sequence nnxn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 58*n + 7*n = -109, 11 = 3*z - 5*n for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.0019127 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 3)*(0*z - 2*z + 0*z) + 8*z - 12 + 21 - 15 - 11.\nAnswer: -6*z - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243 = 533*n + 5153 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 893.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64402642 (base 7) to base 11.\nAnswer: 3103302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let q = -580\/9951 - 2\/321. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (519\/(-3806))\/(1\/(-4626)*-37). Let j = p - -192\/11. Calculate the common denominator of j and -91\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(50985\/(-21))*4\/(-14). Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1428)\/(-7) - (-2)\/1. Suppose -3*l + w - 1250 = -o, 4*l = 3*o - 1392. Let c be l\/(-22) + (-8)\/(-44). Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21723 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (12 - (11 + 4)) + (5 - -4)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 249595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j. Let l(k) be the third derivative of k**4\/24 - 8*k**2 - k. What is z(l(f))?\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4, o - 2 = -4*t + 6*o. Suppose 3*n - 1053 = -3*v, -4*n + t*n - 355 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4146 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(72) + -1)*-5)**2 + (sqrt(48)\/(sqrt(6)\/sqrt(2)) - sqrt(16))\/(sqrt(32)\/(sqrt(8)\/sqrt(2))).\nAnswer: -1200*sqrt(2) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-10)\/(-45)*-6. Suppose -c*x + 4062 = -6*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 916*c - 3637. Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-9))\/((-4)\/438). Let i = -25 + v. Let x = i - 64. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620752 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089989 * -1.4.\nAnswer: 0.1259846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -2\/17, -762, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21270 is divided by 7087.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 353 = 53. Let w = g - -92. Let m = 39 - w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35037 is divided by 319?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ajajlkljlmlmlkjjjjkk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-4) + 1\/2. Let r = -8 - -7. Suppose 8*w = 3*w + 2*h + 7, -5 = -4*w + h. Put r, d, w in descending order.\nAnswer: w, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -1\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/((-64)\/160)*14\/1764*42.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60398 in 0.14, 6, 3\/7, 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcoootooltuucouklo. Give prob of sequence uuu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -18 (c) -5 (d) 0.2 (e) 5\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 254*o - 3481. What is y(14)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 30. Calculate the smallest common multiple of 16 and 4\/k + 22\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1207 + 1225. Let u be (1 - 0) + (-153)\/(-3). Let x = -25 + u. Calculate the highest common divisor of x and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -w - 2*v, -2*w + 14*v - 10*v + 28 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(70) + sqrt(70))*-4)\/((sqrt(90) + 1*sqrt(90)*6 - sqrt(90)) + sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19474 is divided by 203.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 46. Let h = 2.01 - 2. Let c = h - -6.99. What is the biggest value in 4, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 - (1 - (3 + -13))) - -14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/(-708))\/(2\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, 1\/6, 7 in descending order.\nAnswer: 7, 1\/5, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 1400 + 980. Calculate the least common multiple of p and 5.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/2 of a minute?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17461 is divided by 486?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 209939794474662 and -0.1.\nAnswer: 209939794474661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15645609 times -0.2?\nAnswer: 3129121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.066 + -510692.\nAnswer: -510690.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**7\/105 - l**6\/60 - l**5\/60 + l**3\/2 - 2*l. Let x(c) be the second derivative of q(c). What is t in x(t) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 371265?\nAnswer: -371260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -36. Let g = 12.75 + p. Round g to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208298 by 3906.\nAnswer: 104149\/1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16062021 - -43537178.\nAnswer: 59599199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524815547 a multiple of 8609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a\/(a\/a**12)))\/((a*(a\/(a**(-11)\/a))\/a)\/a))\/(a*(a*((a**5*a)\/a)\/a*a)\/a)**23)**(-24))**(-46) assuming a is positive.\nAnswer: a**(-176640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 777.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 + -272. Sort k, -8, 5, -4 in descending order.\nAnswer: 5, k, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:43 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*h - 2*i - 22, -2*h = -5*i + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Suppose i + 12 = q*i. Suppose 4 = -i*k + 16. Put k, -1, -5 in descending order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 - (-5)\/2). Let u = -7 - -7. What is the smallest value in u, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - 599*u**2 - 35*u - 17255. Give z(150).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hhoexhexh?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2227, -4462, -6697, -8932?\nAnswer: -11167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by -88785.\nAnswer: 116\/17757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t*t\/(t*t\/(t\/((t\/(t**(-5)\/t)*t)\/t)))*t))**(6\/13)\/((t\/(t*(t**(-2\/3)*t)\/t))**(1\/30))**(-42) assuming t is positive.\nAnswer: t**(362\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*j + 201845982, 1177*j - 134563982 = -2*b + 1180*j. What is b rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613\/5 - 12\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.5. Let h = 0.1 + x. Let v = h + 0.40005. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 62. Solve -5*q + x*h = -5 + 3, 2*h + 14 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2404051 and 1235.\nAnswer: 12020255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 9) to base 10\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -566*w**3 + w**2 + 45*w + 46. What is the remainder when u(-1) is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 114*a**2 + 17*a**3 + 14*a**3 - 44*a**3 + 114*a**2 + 21*a**3.\nAnswer: 8*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*5\/25 - -47. What is the greatest common factor of 168 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128327, 256650, 384971, 513290?\n\"Answer: -i**2 + 128326*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 64 = -5*u + 353, 417 = 3*c + u. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 819, 793, 749, 681?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -58473.9821 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 + 19*b**2 + 6*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200120 + 22?\nAnswer: 2200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Suppose -y = -x + 1. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 3*o + 9*o - 5*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15101695 + -44001695. Round o to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*p - 107*p = -256*p - 4303 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = r - 328, -i - i + 134 = -r. Let s = 62 - i. Let z(k) = -2*k - 32. Let c be z(-17). Sort -5, s, c, 4 in descending order.\nAnswer: 4, c, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 10\/3 (c) -2 (d) 0.3 (e) -10 (f) -10.8 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - (-1 + -8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 + 4*r**3\/3 - 3*r**2 + 7*r + 2866. Let g be 1 + (0 + -2)*-1. Determine k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) - (sqrt(11) + sqrt(11)*1)) + sqrt(77)\/sqrt(7) + 0 + ((sqrt(99) - (2*sqrt(99) + sqrt(99)))*-3 + sqrt(99))\/((sqrt(54)*-1)\/sqrt(6)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 785755 (base 13) in base 9?\nAnswer: 5307387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18931, 75735, 170405, 302935, 473319, 681551, 927625, 1211535?\n\"Answer: -d**3 + 18939*d**2 - 6*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884137623.\nAnswer: 3, 294712541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 8 = 27. Let c be -4*(w + (-6 - 3)). Find the second derivative of -c*v**5 + 2*v**5 + 17 - 17 - 28*v wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + (sqrt(99) - sqrt(99)*4) - sqrt(99)))\/sqrt(9).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281345 (base 9) in base 5?\nAnswer: 134444130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u + 3*u)*(1 - 1 - 1) + 2*u - 5*u + 4*u + (u + 0 + 0)*(1 - 1 + 2) + 3*u - 2*u + u - 544*u + 168*u + 224*u.\nAnswer: -145*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1515 - 1515 + 11*u)*(-u**2 - 3*u**2 + 6*u**2 + 2*u**2 + u**2 - 2*u**2 + (2 + 0 - 1)*(0 + 2*u**2 + 0) + 0*u + 0*u + u**2).\nAnswer: 66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 8*k**2 - 6*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*m + 384 + 48 = 0. Sort 1, -4, m, 40, 5 in decreasing order.\nAnswer: 40, 5, m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-11)*-2 + 1140\/22 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + 10 + -2. Suppose x - l = -4. Solve s - x*s = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 + 6146*s - 18456 = 0.\nAnswer: -3076, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - (-1 - (-249)\/216).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.587 - 106.802. Let a = 98.315003 + q. Let i = 0.1 - a. What is i rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*p - 6, 40*j = 3*p + 41*j - 6. Solve -p = 3*s - 3*u, 5*s - 3 = 8*s - 4*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001597526159 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642 take away 0.2367?\nAnswer: 11641.7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -390*w + 369*w - 42 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/(-15) + -1)*3 + -102 + (-118041)\/(-1155)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 31 = 59. Let h be (18 + u)\/(-1 + 0). Suppose -3*l + 3*i + 15 = -0*l, 3*l = i + 9. Solve g + t + t = 9, -l*t + 10 = h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101011100100110 - -110001?\nAnswer: -1001101011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 14*o + 45. Let n be y(5). Solve n = 7*p - 2 + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 454 and 10442.\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**5\/7 - 2*g**4\/7 - 18*g**3\/7 - 6*g**2\/7 + 4*g\/7 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1 + 4 + sqrt(162) + (sqrt(162) - (sqrt(162) - (sqrt(162) + 2)*-2) - sqrt(162)))*-3)**2.\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-2))))**(-50))**(-3\/32)\/(u*(u\/(u\/(u\/u**(-6\/11))))\/u*u\/((u*u*u\/(u*(u*u**(-1))\/u))\/u)*u*u**0*u\/((u\/u**(-2\/13))\/u)) assuming u is positive.\nAnswer: u**(-16197\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 50*g**2 + 105*g + 67. Let j be u(-52). Let y(s) = 30*s - 448. Let k be y(j). Suppose 0*c - 2\/15*c**3 + 0*c**k + 0 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -1055*t + 1065*t. Solve 5*m + 4*x - 36 = 0, t*m - 4 = 3*m + x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559*t - 2826 = 1087. What is the second smallest value in 1, -6, t, -0.34, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, w: 7}. What is prob of picking 3 w?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (1 + sqrt(10)\/sqrt(2)))**2 - (sqrt(5) - (sqrt(245) - (sqrt(245) + 0)))) + (5 + -1 + sqrt(80))**2 + sqrt(80).\nAnswer: 35*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-5 + 5)) + (3 - 6 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, -2, -7\/4 in ascending order.\nAnswer: -2, -7\/4, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 14.06. Let h = s - -14.1. Let f = -119 + 117. Which is the closest to h? (a) -1 (b) f (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/4 + y**3\/3 + y**2\/2 + y - 3. Calculate the least common multiple of s(0) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284338666 take away 0.5?\nAnswer: -284338666.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6606898 is divided by 209.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12323 + 10?\nAnswer: 12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 8*m + 1. Let j be n(8). Suppose -2*p + 5 = -j. What is the derivative of 2 - p + 0*t**2 - 3*t**2 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 1) + 1*(-8 - -7). Suppose -h*n + 35 = 2*n. Solve -3*d + t - 8 = -d, 0 = n*d - 3*t + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (0 + (-13 - -3))) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from wwybywyyjwwywywby?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -m + 4*y, -4*m - 3*y + 30 = 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*r + 9718 - 9972 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012221101 + -11?\nAnswer: 11012221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35868414 divided by 3.\nAnswer: -11956138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c\/(c*c**(3\/4)))\/(c*c*c\/(c**(3\/8)*c)*c\/c**9))**7 assuming c is positive.\nAnswer: c**(1211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 - 5260*j**2 + 292825*j = 0. Calculate j.\nAnswer: -1105, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j. Let m(x) be the second derivative of j + 0*x**2 - 1\/6*x**4 + 0*x**3 - x. Let u(i) = -i. What is m(u(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -442*c + 442*c + 25*c**2. Let b(j) = -6*j. What is b(g(d))?\nAnswer: -150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -669?\nAnswer: 154\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81719, -4, 6.\nAnswer: -81719, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let n(z) = 9*z. What is n(k) + 3*t(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222212222100101 + -1?\nAnswer: -1222212222100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.4 - 13.1. Let w be (-22)\/10 - (-5)\/25. Let y be w\/6 + (-5)\/15. Which is the biggest value? (a) y (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + j - 119 + 119 - j**2 in the form h*j**2 + a*j + g*j**3 + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l. Let j = 0 - -4. Let t be (j\/3)\/(2\/3). Let d be t\/((-4)\/10 + 0). Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -6, -8, -14, -24?\n\"Answer: -2*p**2 + 8*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375837026?\nAnswer: 2, 187918513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (112\/21*(21\/70)\/(-1))\/((-2)\/(-80))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 - b. Suppose 3*r - 4*g - 69 = -88, -r + 5*g = 10. Let w(h) = 9*h**3 - 2*h. Determine r*w(x) + 8*p(x).\nAnswer: 3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 12) in base 9?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 4*j**3 - 4*j**3 + j**3 + 17*j**2 + 32*j + 82 + 3*j**2. Let n be z(-13). Solve -n*o = -2*s + 28, s = 6*s - 3*o - 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -46.22. Let b = -0.45 + c. Let l = 0.17 + b. What is the second smallest value in -1\/5, 6\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1150\/25)\/((-22)\/(-28)) + 84\/(-33) + 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 7*h - h = -p + 2*h - 155, 0 = 22*p - 4*h - 270 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153\/56 + -58477\/56. Let g = d - -1079. Let 3\/2*r**3 + 0 - 15*r**2 + g*r = 0. What is r?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315, -1374, -1477, -1624, -1815?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4485805 (base 9) to base 16\nAnswer: -24e83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 + 2 = 0. Let o be q\/2 + (-3)\/(-6). Let m(j) = 0 - 2*j**2 - 7*j - o + j**2. Determine m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-1575)*25*(9\/2)\/1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 s(r) = 1579*r**2 - 16152*r + 3627. Calculate s(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 - 919 + 215 + 353 + 44631*g)*(5*g**3 - 3*g**3 + 0*g**3 + 2*g**4).\nAnswer: 89262*g**5 + 89262*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3057 - 1258*j - 3057)*(2*j - j**2 - 2*j)*(-2 + 5 - 1)*(-4 + 0 + 5).\nAnswer: 2516*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -16 + -19 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 16 = 4*m, -4*t + 3*m = 11 + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -36285\nAnswer: 36285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(300)*-1*-3 + -1)**2.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81996581 to the nearest integer?\nAnswer: 9055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 194, 292, 390, 488?\n\"Answer: 98*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41611939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3449\/103 (b) -4\/35 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12) + 3 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen tenths of a centimeter?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*l = 19*l + 24*l - 7072 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 128144336 divided by -359956\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + 188.2. Let z(o) = -o**3 + o**2 - o + 1. Let s be z(2). Suppose 13 = 5*f + 2*k, 4*k + 1 = 3*f - 12. What is the nearest to f in i, s, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*k - 22, k = z + z. Let p(v) be the third derivative of -v**4\/24 + v**3\/6 - 36*v**2. Give p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165481229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -408.11 * -0.1203\nAnswer: 49.095633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2451 and 25413?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.5 + -84. What is the second smallest value in -2, -0.2, -5, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -175115 and -1.\nAnswer: 175115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/(-2)*2. Suppose 3*t = 1 + k. Is 15 + -1 - (-1 + t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 48943*o + 97885\/2.\nAnswer: (o + 1)*(o + 97885)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1303285360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3781\/12 - -1283\/4. What is the closest to -1 in 4\/9, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 4*t - t + 3*t. Suppose 0*h + 4*h - 27704 = 0. Let n(o) = o + 0*o + 6925 - h. Calculate n(p(b)).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -813 - -1573\/2. Suppose -26 - 22 = 2*c. Calculate the common denominator of p and (-2 + 237\/c)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -33. Suppose 20 = -55*v + 50*v. Which is the biggest value? (a) v (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16534, -16542, -16552, -16564, -16578, -16594?\nAnswer: -16612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 76.2. Let g = b + -41.3. What is g rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 555331.29 + 108906656.71. Let b = g + -109461990.19999908. Let u = b + 2.2. What is u rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 322 - 334 = 0, -26 = -4*t + 2*c. Suppose -3*i + 3*m + 11 = -13, 0 = -i + 4*m + 14. Suppose -12 = -i*g + t*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + 11*j**2 - 9*j - 5. Let r(u) = -u**3 + u**2. Let p(k) = -2*r(k) + t(k). Suppose -2*y - 5*z - 1 = y, 5*z + 65 = 5*y. Calculate p(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668107.7nm to centimeters.\nAnswer: 0.06681077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595303962 - 595332173.21073. Let a = k + 28226.31073113. Let o = a - 15.1. What is o rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.95496 + -0.04504. Suppose 3*f - 5 - 7 = 0. Let u be 22\/(-10) + -2 + f. Sort 2, g, u.\nAnswer: g, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 11*a - 2. Let o be ((-6)\/(-18))\/((-2)\/66). Let t be j(o). Let v be (-4)\/(-12)*(t - 1). Let x(y) = -2*y**3 + 2*y + 1. What is x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10477 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 447 + 1448 = 0. Is -79 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2086, 4147, 6172, 8143, 10042, 11851, 13552?\n\"Answer: -3*c**3 + 2082*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:57 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 12. Let m be a(-5). Let b(z) be the first derivative of 6*z + 35*z**2 - 2*z - 37*z**m + 25. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -2\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900)*-2 + -1)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26858 + -18009?\nAnswer: -43866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-4)\/(-491)) + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3)\/g**(-7)*(g\/(((g*g**(-5)*g)\/g*g)\/g))\/(g\/g**(2\/3)) assuming g is positive.\nAnswer: g**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 571694.324 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -359, -356, -351, -344, -335, -324?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*16\/704)\/(10\/(-24)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -537 greater than or equal to -526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79367, -317769, -715107, -1271381?\nAnswer: -1986591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/15 - -2)*(-33 + 5786\/176)*-24.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**3 + 3*h**2 - 7*h + 24. Let k(n) = 3*n**3 - n**2 + 6*n - 21. Suppose 4*a = s - 19, a = 5*a - 2*s + 18. Let r(o) = a*k(o) - 4*q(o). Give r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkdkdkkddk. Give prob of picking 1 k and 3 d.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m = -71*m + 2*q + 6, -2*m = 2*q - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -134751\/50 smaller than -2694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129.3 - 160.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Let u be k(11). Suppose 12*y - u = 8*y. What is the second biggest value in y, -4\/7, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 23. Suppose -4*z - 21 - 11 = r. Let g be (5\/2)\/(z\/(-16)). Put g, -2, 0 in descending order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(1\/(-3) - (-30)\/36). Solve 4*o + 4 = -4*l, -20 = c*o - 5*l + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.1, 84, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-114)\/(-4))\/((-6)\/(-4)). Let p(v) = 5*v**2 - 5*v - 5. Let q be p(5). What is the greatest common factor of q and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 + 174. Suppose 18*q = s*q + 45. What is the third biggest value in q, 0.5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h + 2. Let l be z(3). Let r be l\/15 - 5\/(-3). Suppose -5*v + 5 = -5*n, -3*n - r*n = -15. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3840 + 7273. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -32*q**2 - 5*q - 7. What is w(-2)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1\/2)\/o)*o**(3\/2)*(o**(-1\/2)\/o)\/(o*o**(-2\/17)*o))\/((o**3\/o)**(-16))**0 assuming o is positive.\nAnswer: o**(-13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 2 - 234828*x.\nAnswer: -234828*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c = 846*c + 39001 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 16*m - m to j + y*m and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 2, h: 1, n: 4, z: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4272*f**2 - 8*f - 389. Let d(l) = -534*l**2 - l - 49. Let c(z) = 51*d(z) - 6*j(z). What is the second derivative of c(h) wrt h?\nAnswer: -3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 4*j, 3 = -2*f + f + j. Suppose -2*w + 4*w - 6 = 0. Let b(y) = -2*y**w + 2*y**2 + y + 0*y**3 - 4*y**2. Calculate b(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169261442.522 take away 0.4?\nAnswer: -169261442.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 81, -1\/2?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 2*m. Let y be (m - 2)\/((-2)\/6). Calculate the greatest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -44*f**4 - 4672*f**3 + 49180*f**2 + 3893856*f + 706320 = 0.\nAnswer: -109, -27, -2\/11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11134 + 3?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f - 116. Let u be x(-9). Let o be 0\/u + 48\/80. Which is the third biggest value? (a) 0.5 (b) o (c) 5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, y: 3}. Give prob of sequence oyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - x = 0. Solve -o + x*o - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9191*z + 18430*z - 9237*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*s**3 - 27*s**3 + 3 + 0*s**3 to b*s + q*s**2 + n*s**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -9 - -9) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 90\/150 - 117\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/3))**(-27) assuming o is positive.\nAnswer: o**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*a - 2087 - 2569. What is the remainder when 2145 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 7\/2*o**2 - 3*o + 13 - 1\/3*o**3. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0727 + -11118643522.\nAnswer: -11118643522.0727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 15. Let n be t\/(-55) - (-70)\/22. Solve -n*k = -k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -24. Which is the closest to 2\/7? (a) z (b) 1\/3 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653086 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -17. Calculate the common denominator of ((-9)\/(-12))\/(30\/(-404)) and 20\/5 - 7\/w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let n(h) = h**2 + 6*h + 1. Let k be n(-6). Let y = -3 + 7. Let c(m) = 2*m - 4. Give k*c(z) + y*o(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110 - -1?\nAnswer: 111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 727230838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -42 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346 divided by 1.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let s = t + 5. Suppose r = s*r - 8. Solve v + 5 = -r*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 14) to base 10\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 627 (base 8) to base 6\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + 35*j**2 - 803*j + 7526. Give w(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3663106 (base 7) to base 13.\nAnswer: 1357a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a*a)**(-3\/2)\/((a\/(a*a**10))\/a)**(-35) assuming a is positive.\nAnswer: a**(-749\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*o + 5*o + 4*u, -4*u + 16 = 0. Let r(f) = 491*f - 251*f + 8 - 241*f. Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 0*g**5 + g**5 + (4 + 3*g**2 - 4)*(-g**2 + 2*g**3 + g**2) + 575*g**5 - 1147*g**5 + 574*g**5 + 97*g**2.\nAnswer: 7*g**5 + 97*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l**3 + 4*l**2 - 19*l + 5. Let v(k) = -12*k**3 - 3*k**2 + 18*k - 4. Calculate -4*b(c) - 5*v(c).\nAnswer: 8*c**3 - c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(3))*4 - sqrt(297)\/sqrt(11)).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*h - 239*h + 59 + 155 + (2*h - 3*h - h)*(0 - 2 + 1) to g*h + c and give c.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 13*i**2 + 10. Let p(v) = -4*v - 1. Let j be p(-1). Let k(m) = -m**3 - 14*m**2 - 11. Let q(s) = j*u(s) + 2*k(s). Is 3 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 79479.33mg?\nAnswer: 79.47933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 2*n. Let f be (-4)\/6*(1 + -4 + 0). Give w(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26217948 by 2242.\nAnswer: -11694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3400\/(-275)*(-8)\/((-144)\/(-99))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**38*n**(3\/2)\/(n**(-5\/3)*n))**(-3\/8) assuming n is positive.\nAnswer: n**(215\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*o, 5*j - 7*o - 5 = 47*j - 3*o - 5*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/24 + 7*g**3\/6 - 7*g**2. Calculate c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)*2)\/(sqrt(64)\/(sqrt(8) + sqrt(32)\/sqrt(4))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 27 = 3*c, -4*f - 2*f = -4*c - 34 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1596763 and -1596768 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhnhkkknhnyk. What is prob of picking 1 n, 1 k, and 1 h?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 - 4*o + o)*(0 - 1 + 0)*(2 + 4 - 4).\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34\/35 - 1433\/70. Let u = -2391\/14 - -171. Find the common denominator of v and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1807689*z + 5423064. What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169383290.\nAnswer: 2, 3, 5, 131, 149, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2))\/h**(-11))\/(h**0)**(21\/4) assuming h is positive.\nAnswer: h**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 734619, -4, 5 in ascending order.\nAnswer: -4, 5, 734619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 11:45 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4, -5*a = -2*l - 3*l - 25. Let q(z) = 87*z + 9 - 31 + 88*z - 176*z. What is q(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, 2921, -4 in descending order.\nAnswer: 2921, -1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 + 1 = 0. Let a be (28 - 31)\/(0 - (0 - i)). Suppose -2*d = -2*f - 322, -159 = -2*d + d + a*f. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s + 53. Let g(z) = 13*z + 39. What is -5*g(b) + 4*r(b)?\nAnswer: -29*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:10 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/120 + v**5\/15 - v**4\/6 + v**3\/2 + 3*v**2. Let g be (-2 + 4)\/(4\/(-10)). Let q be 4\/5*g\/(-2). Give o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237\/2 - -116. Sort 7, t, 0 in decreasing order.\nAnswer: 7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522c (base 14) to base 12.\nAnswer: 8234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 15. Let n be -1 + 4\/8*2. Let v be s(n). Let q = -11 - v. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 5. Let b be ((-8)\/(-6))\/(1\/(-3)). Let w be r(b). Suppose 0 = -5*v + w, j + 3*j = -2*v + 38. Solve 0 = -3*u + j*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + 4\/6. Suppose -9*p + 22*p - 3029 = j. Calculate the remainder when p is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3910*s + 46915. Determine k(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 - 1728 = -4*u. Let n = u - 152. Suppose -n = x - 3*x. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -2, 1109 in decreasing order.\nAnswer: 1109, 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11237.\nAnswer: 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2 + -6)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*45\/(-144)*(-6)\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11410.5 + -11410. Which is smaller: i or 341\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*x + 2 + (2*x + 1 - 1)*(1 + 2 - 1) + 2*x - 1 + 1 - 6*x + 2*x + 3*x + (-3*x + x + 3*x)*(0 + 1 + 2).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -19 - 81. What is the least common multiple of 10 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*z**2 + 309 - 309)*(-2*z**3 + 3*z**3 + z**3) + (z**3 - 2*z**4 + 2*z**3 - 2*z**3)*(0 - 2*z + 0).\nAnswer: -178*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-116)\/216) + (-71)\/((-71)\/18)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(152)*2 - sqrt(152)))\/(sqrt(128)*5 + (2*sqrt(512) + sqrt(512) - sqrt(512)))*4.\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 10*w**2 - 46*w + 121. Give u(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from wdhmw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 1. Let k = -0.57 - 5.33. Let b = -1.1 + k. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let a = 784 - 784.04. What is the biggest value in -6, 2, r, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7572 + -7557. Let d be (-4)\/(-14) + (-14047)\/(-7). Is (1 - d\/2)*(-12)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3089658 and 9174.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, z: 1, j: 1, f: 4, c: 2, h: 5}. What is prob of sequence zhhz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/2193, 0.3, -6, -2 in decreasing order.\nAnswer: 0.3, -8\/2193, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 5*r - 2. Let f be x(3). Let s(d) = 6*d**2 + 2*d + 2. Suppose -6*w + 5*w = 1. Let g(k) = k**2. What is f*g(p) + w*s(p)?\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2832 and -139\/3186.\nAnswer: 25488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 56, -5, 1, -0.09, 7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/1*(-1750)\/(-1575)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -857 + 856.999999543. What is g rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193422149*m**3 + 5998713*m + 12 wrt m.\nAnswer: 1160532894*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let t be b(4). Suppose -t*d = -6*v + v - 1, 4*v + d = 16. Let h(i) = i**3 + i. Let j be h(0). Solve j = 4*u + 4*y - 24, 0 = v*u - 5*y + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (43 - 9)*(1 + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132\/5 + -929\/35. Which is the second smallest value? (a) 2\/7 (b) 2 (c) u (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 5*y + 25, 3*t = 4*y - 10. Let b be (-216)\/t - 10\/(-25). Does 10 divide -2 - (b*-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -203. Suppose -l + 4*l - 12 = 0. What is the common denominator of 9\/(-14) + l\/f and 87\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/(-6))\/(1\/6) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9146 + -1.0146. What is the closest to -0.1 in 1, 3, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110100000 - 110100010?\nAnswer: 1000111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 57. Which is smaller: d or 26\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r**3 - 25*r + 33*r - 94*r**3.\nAnswer: -r**3 + 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8359769?\nAnswer: 11, 59, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137 and 1196421?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.099998 - 0.1. What is y rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31243 - -15043?\nAnswer: 50330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 2429, 3, -1 in increasing order.\nAnswer: -111, -1, 3, 2429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 848*o**3 + 5*o**2 - 844*o**3 - o**2 + 10*o. Let f(i) = 3*i**3 + 3*i**2 + 9*i. Determine 5*f(r) - 4*q(r).\nAnswer: -r**3 - r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - (-195)\/(-35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3396 + 6.3396. Which is the closest to 7\/5? (a) -4 (b) p (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + -4 - 0\/2. Let w = -28 - -44. Calculate the highest common divisor of j and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*z + 160*z + z**3 + 2*z**2 - 2*z**4 - 484*z + 4 + 166*z + 7*z**2 to the form f + u*z**2 + b*z**4 + s*z + m*z**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 357\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-315))\/(4\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 - 72*u - 4. Let i be m(-9). Put 33, 0, i, 15 in ascending order.\nAnswer: i, 0, 15, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -33*l - 389 + 89 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 55.99978. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 91, 172, 289, 442, 631?\n\"Answer: 18*y**2 + 27*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -18. Suppose -i*c = -8*c. Suppose c = 3*j + r - 76, -3*r - r + 44 = 2*j. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 84, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12230870 by -1.\nAnswer: -12230870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 4)*(-1317 + 646 + 618)*(-2*t - 2*t + 6*t) in the form g + c*t and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702 - -1369. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 - 2) + -11 - 2) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g - 59*g + 3*o - 11922 = 0, -g = 3*o - 3974. What is the smallest common multiple of g and 8?\nAnswer: 15896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0, 15, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7240\/(-30))\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 778 = 6. Suppose -2*u + 3*q + 0*q + y = 0, -u + 4*q + 33 = 0. Solve -2*i - 6 = -3*v - u, v = -i - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6856148613 - -6856148237.0000739. Let u = 376 + c. Round u to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -3*o**4\/8 - o**3\/6 - 7*o**2 - 3. Let c(g) = -13*g - 1. Let x be 4 + -1 + (1 - -1). What is x*c(d) - 7*w(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 124*u**2 - 247*u - 624. Let l be h(126). Solve 12 = 3*s, l*c + 3*s = 10*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(-x - 1 + 1) + x + 0*x + x + (-3*x - 3*x + 4*x)*(-2 - 3 + 4))*(-2 + 5 - 1).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 3. Suppose -3*x + 3*t = 135, -234 = 5*x - 0*t - 2*t. Let h = -45 - x. Calculate z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 577 - 60 = 3*y, 423 = -2*y + t. List the prime factors of ((4 - 19)\/(-5))\/((-6)\/y).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 76*j**4 - 1668*j**3 - 10048*j**2 - 8640*j = 0?\nAnswer: -4, -20\/19, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346885781, -346885784, -346885787, -346885790, -346885793?\nAnswer: -346885796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from krkkfkkkvkkrvrrk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000111304 to seven decimal places.\nAnswer: 0.0001113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109, 83, 43, -17, -103, -221, -377, -577?\n\"Answer: -v**3 - v**2 - 16*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35260)\/31390*(-28)\/1148?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414335933 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 - 3*q + 15. Give s(-7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 54*t**2 - 23*t + 455. What is the units digit of k(56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (65000\/(-6))\/(3622268\/19919328 + 4\/(-22)). What is x rounded to the nearest one million?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -206\/45 (b) -42 (c) -0.3 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -66*b**3 + 6*b + 4. Let h be m(-2). Suppose 4*p - 8 = 0, -6*n - 5*p = -n - h. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 0, 0 = -3*p - 158*j + 161*j + 84. Suppose -394 = -2*i + 5*k, -2*i - 2*k = -3*i + 196. What is the remainder when i is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 77*q**2. Suppose 0 = 5*o - 3 + 8, -3*d + o = -13. Let x(g) = g**2 + d*g**2 - 5*g**2 + g**2. Give x(y(v)).\nAnswer: 5929*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*g**5 + 1467*g**4 - 4494*g**3 - 17712*g**2 + 26106*g - 5355 = 0. What is g?\nAnswer: -3, 1\/4, 1, 5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -0.3 (c) -4 (d) -3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4271782 (base 9) to base 11.\nAnswer: -1325422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -2, -22, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 563 - 175. Suppose 4*y + t = -f + 134, -y - 60 = 2*f. What are the prime factors of -15 + 13 - (y - 0)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 1. Let j(p) = 4*p**2 - p. Let i(m) = -6*j(m) + 5*s(m). Suppose 0 = -14*v + 16*v - 6. What is the tens digit of i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31880.7208 to the nearest 10.\nAnswer: -31880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0419754 + 0.9.\nAnswer: 0.9419754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 32.811?\nAnswer: -32.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + -49. Let g = -24 + t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -5, -2, 8, 1 in decreasing order.\nAnswer: 8, 1, -2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - -49.3. Let h = -47 + x. Which is the fourth smallest value? (a) -0.3 (b) h (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1242*b**3*t + 3*b**2*t*v + 3*b**2*v + 5*b*t*v - 63*b*t - 2*b*v + 2*b - t wrt b.\nAnswer: -7452*b*t + 6*t*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.67 rounded to zero dps?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 + 6 = 0. Let q be (1 - (-28)\/(-8))*w. Solve -c + 4 = 2, -q*m - 12 = 4*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4424, 1 in ascending order.\nAnswer: -4424, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -32*n**2 + 1435*n + 3249. Calculate t(47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1236 + 617. Let t = -619.000663 - v. Round t to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 700*m - 8194. Determine p(-338).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-8))\/(-1)*-2. Suppose 4*u = -n*x + 308, x = -5*u + 588 - 192. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -28, -7, 12, -4, 2, 14.\nAnswer: -28, -7, -4, 2, 12, 14, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 - a. Let b be g(1). Calculate the remainder when (60\/5)\/(2\/b) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -20, -31?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y - 83. What is f(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21)**(-8\/9) assuming a is positive.\nAnswer: a**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -305140, -0.5 in increasing order.\nAnswer: -305140, -7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 7*p + 5329 - 5329.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6521 - -21.289848.\nAnswer: -6499.710152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orqorrqolqsrrsll. Give prob of picking 1 l and 1 q.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31223030012 (base 4) to base 14.\nAnswer: -694594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7959 + 7971. Suppose f + 32 - 98 = 0. What is the greatest common factor of v and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and 319.52.\nAnswer: 304.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2674295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46295494 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -17.3. Let n = d - 17.43. What is n rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 3073 + 3164 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 154\/35 - 3. Suppose q*z**2 - 6\/5*z + 4\/5 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 divided by -15?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4806 - -6846. What is the smallest common multiple of 850 and n?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - 133?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 603\/45 + 2\/(-5). Solve -s + 2 = -4*i - o, 5*i = -3*o + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 477.54 and 233075974.9?\nAnswer: 233075497.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 r when three letters picked without replacement from rrrrrrrwrrrwrwrrrrwr?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.035, 16, -51, 3\/7?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14720 = -24*q + 137384. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.666575 or 0.07?\nAnswer: -1.666575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 4*s + 2. Let w be q(-2). Calculate the greatest common divisor of w and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-4)\/5 + 1). Suppose -2*d - 5*d = 21. What is the second biggest value in f, d, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-7))\/((-8)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*b - 9, 2*b - 6 = 4. Find the first derivative of -25 + c - 7*l**4 - 4*l**4 wrt l.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16398, -32329, -48260, -64191?\n\"Answer: -15931*z - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(3 - 67*i + 42*i + 47*i).\nAnswer: 66*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = k + a - 21, -k - a - 9 = 0. Let d(o) = 7*o - 1234. Let y(v) = -11*v + 1973. Let q(c) = -8*d(c) - 5*y(c). What is q(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(-3*m**2 + 12 - 12) - 21*m**3 - 19*m**3 + 39*m**3 + 9*m**2.\nAnswer: -7*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3 - 8*t**3 + t**4 + 4*t**2 + 4 + 2*t**2. Let u(c) = c**3 - c**2. Let p(n) = -3*i(n) - 24*u(n). Factor p(a).\nAnswer: -3*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 15\/(-28). Let o = 0 + 3. Let c = -17\/18 + 95\/72. Put c, j, o in descending order.\nAnswer: o, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**4 - 9*m**4 - 2*m**4 - 2*m + 87. Let g(d) = 25*d**4 - d**3 - 11*d + 435. Let i(x) = -2*g(x) + 11*v(x). Differentiate i(q) wrt q.\nAnswer: 20*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194 and 19.\nAnswer: 3686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3031.158 + -3035. Let d = 0.158 - b. Let g = 2.1 + -2.4. What is the third biggest value in g, 0.3, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (602\/30 - ((-1860)\/124 + 47\/3)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*z + 11, 5 = 4*v - 3*v. Let d = 6 + z. Let s = 93 + d. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 2*o**2 + 3*o**2 + 3*o**2 + 5*o**2 - 5*o**2 + o**2 - o**2 + o**2 + (3 + 4 - 5)*(o**2 - 2*o + 2*o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 39. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvcoccorccworvccr. Give prob of sequence owvc.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 67 - 37)*(-23*w**4 + 55*w**4 - 22*w**4).\nAnswer: -820*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-54))\/((-19)\/(456\/(-288))))\/3\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5535\/2 + -2768. Which is the closest to -1\/5? (a) 2 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 10 + 18. Suppose -g*t - 18 = j, -t - 10 = t + j. What is the tens digit of t - 164\/(-2) - (2 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 2*f + 18. Let r be 177\/(-118) - (2\/4 - 2). Let s be z(r). Solve s*c + 4 = 14*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-42)*18\/20\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22712928?\nAnswer: 2, 3, 7, 73, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277741?\nAnswer: 277741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, -0.7, 1, 5, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 + 297. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4310 - 23?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let o = -2 + 4. Let x(d) = -5 + 0 + 5 + o*d**2. Calculate v(x(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(9)*1))\/(sqrt(8) + 5*sqrt(72)) + 5*sqrt(3)*-3 + sqrt(15)\/(sqrt(15)\/sqrt(3)).\nAnswer: -223*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253465137.\nAnswer: 47, 97, 274943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -739 or -5921\/8?\nAnswer: -5921\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 95349 * -14007\nAnswer: -1335553443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3522103 * -0.123\nAnswer: -0.0433218669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/1 - (5 + -2). Suppose v*c = c. Is c at least as big as 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvfl when four letters picked without replacement from fllfvvfffvlvfffl.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101001000100110111110011 + -101?\nAnswer: 10000101001000100110111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 3*b**2\/2 - 12*b + 89. Calculate q(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1208245 to the nearest 10000.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.936 - 11. Round q to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**5 + 1649*h**2 - 17*h**4 - 1649*h**2 - 399*h wrt h.\nAnswer: 120*h**3 - 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13575*v + 244776 + 442658 = -194941 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-148) + 13\/20. Which is bigger: w or -51?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q**2)*(-2383 - 2369 - 2*q - 3*q**2 + 4713).\nAnswer: -6*q**4 - 4*q**3 - 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 35*l**2 - 37*l - 41. What are the prime factors of c(17)?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 269? (a) 5 (b) 3 (c) -1 (d) -2 (e) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 3, 5, 0.3.\nAnswer: 0.3, 10\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -488 + 263. Let z = g - -213. Which is the smallest value? (a) z (b) -0.5 (c) -4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:35 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -161*f. Let g(d) = d - 16. Let q(b) = -b + 12. Let c(m) = 3*g(m) + 4*q(m). Determine h(c(k)).\nAnswer: 161*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - b + 0)*(13*b**3 + 172*b**2 - 172*b**2) - 2 + 2 - b**4 to x*b + k*b**3 + h + g*b**2 + u*b**4 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/141 and 85\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 233?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -154935 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -26. What is the greatest common divisor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 - -74. Let l = 38 + i. What is the smallest common multiple of 9 and (-1)\/(l - 4\/10*-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122004 (base 6) to base 4.\nAnswer: 2220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 2, v: 2, j: 2, k: 1, e: 3}. Give prob of sequence lle.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 0.3, -3\/8, 83\/3, 5, -172 in increasing order.\nAnswer: -172, -3\/8, 0.3, 0.9, 5, 83\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11613, 24658, 37703?\n\"Answer: 13045*r - 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*y = -243*y + 497*y - 168 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3995955840 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -2003, -3158, -4415, -5774?\nAnswer: -7235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 6*s + 7. What is the lowest common multiple of 22 and i(7)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 1, 5, 12, -3, 3, -1 in descending order.\nAnswer: 29, 12, 5, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, z: 14}. Give prob of picking 3 z.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -753135609930.\nAnswer: -753135609930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*o**2 + 38*o + 5*o + 217*o**2.\nAnswer: -3*o**2 + 43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzbzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -594*d**4 - 3*d**3 - 16*d + 149088?\nAnswer: -2376*d**3 - 9*d**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25339657 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a - 4*a)*((4 + 0 - 2)*(-436*a + 436*a + 26*a**2) + 5 - a**2 - 5)*(-5*a**2 + 3*a**2 + 3*a**2).\nAnswer: 51*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-5 - 8 - 24)*(3*c**2 + 0*c + 0*c).\nAnswer: 111*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/12 + g**3\/6 - g**2\/2 + 22*g. Let q(w) = 8*w**2 - 12*w + 10. Calculate q(m) + 10*x(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 68, 76, 84, 92?\n\"Answer: 8*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 1)\/(4\/8). Factor 4*n + 5*n**4 + 7*n**4 + c*n**2 - 7*n - 18*n**3 - 3*n**5.\nAnswer: -3*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 38 + 68, -g - 3*s + 16 = 0. Let o = -1.03 - 0.27. Let d = 0.3 + o. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*o. Let p = -17 - o. Let a = p - -25. Calculate the highest common factor of a and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108790141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1) + 17\/5 + 300\/(-125). Put 1, 4, -43, w in decreasing order.\nAnswer: 4, 1, w, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8507 - -0.1493. Sort d, 6, 1\/2, -3.\nAnswer: -3, 1\/2, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 1. Let f be t(-1). Suppose -4 = -4*a - f*q, -q + 6*q + 5 = 5*a. Let p = 3 + -2. Solve b - p = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnssnnnnnnnnnsnns. What is prob of sequence snsn?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 + 1467. What is the greatest common divisor of r and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 8 (c) -0.15 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:14 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88350 by -2325.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -3109, -7785, -14553, -23413, -34365?\nAnswer: -47409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 134*10\/(-1100) + (-6)\/10. What is the biggest value in 2\/21, 0.4, v, 4\/189?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/20)\/((-20)\/25)*4)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 345484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 - 21*r**3 - 39*r**2 + 9*r + 54 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryorrryyyxs. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.626 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3038*v**3\/3 + 621774*v**2 + 95440774*v - 942490\/3.\nAnswer: 2*(v + 307)**2*(1519*v - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -122991? (a) -5 (b) -1 (c) -108 (d) 3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 + 175.5. Sort 5, -1, x in increasing order.\nAnswer: -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9440*a*j**2 + 77*a + 2049*j**2 - 5*j + 7 wrt a?\nAnswer: 9440*j**2 + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 9. Let a be q(6). Let p(f) be the first derivative of f**4\/4 - f**3 + 2*f - 2. Let n be p(a). Solve -6*o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202405344 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/8 + i**3\/3 - 1319*i**2. What is d(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -161*y - 42. Let z(f) = -19*f - 5. Let j(b) = 5*a(b) - 42*z(b). Let g(w) be the third derivative of -w**4\/12 + 26*w**2. Determine g(j(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:01 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*c = 217*c + 2400 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o**3 - 1325169*o**2 - 129040658*o wrt o.\nAnswer: 60*o - 2650338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdd when four letters picked without replacement from wdwdddddddd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.02. Suppose -8*y = -3*y. Which is the biggest value? (a) q (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 2700.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/6 - 11*c**3\/3 - 87*c**2. Let u be i(-5). Suppose -2*k - 5 = 3*j - 3*k, 2*j + k = 5. Is u < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(108) - (sqrt(108) - (1 + sqrt(108))) - sqrt(108)) - (-3 + 1*sqrt(108) - sqrt(108)))*6*-2 + 5)**2*-4.\nAnswer: -33124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 2\/9 (c) -2\/527\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + 2 - (50 + -10 + -33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 4*f - 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b\/b**1))\/b)**(1\/34) assuming b is positive.\nAnswer: b**(-1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 8*c + 3*c)*(-3*c + c + c - c - 5 + 5 + (-2*c - 1 + 1)*(2 - 5 + 2) + 2 - 2*c - 2 + 2*c + 0*c - 7*c)*(4*c**2 - 4*c**2 + c**2).\nAnswer: 119*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i. Let j be f(-2). Let n be -2 + j\/1 - -3. Suppose 21 = 3*d + 3*t, n*d - t - 39 = -10. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v - 5. Let p(a) = -10*a - 4. Let h(b) = -7*p(b) + 6*t(b). What is the units digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/((-70)\/(-182)*120\/375)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -153. Suppose k = 6*d - d. Let r = 2 + d. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 50\nAnswer: -24\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b**(1\/10))**(-12)\/(b**(-3)\/(b**(-2)\/b)*((b\/b**(-1\/2))\/b)**(3\/8)) assuming b is positive.\nAnswer: b**(-111\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s = -660. Let t = -50 + s. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*k + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 2. Let v be k(-1). Let s be ((-1 - -121)\/(-4))\/v. Is 2\/s - 192344\/(-120) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*b**2\/9 + 2437028*b\/9 - 61696.\nAnswer: -2*(b - 15424)*(79*b - 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 725, 1710, 3695, 7028, 12057?\nAnswer: 19130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**5 - 4*f**4 + 2*f**3 + 2*f**2 - 4*f. Let l(o) = -2*o**5 + 3*o**4 - o**3 - o**2 + 3*o + 1. Let v(z) = -2*l(z) - 3*s(z). Factor v(i).\nAnswer: -2*(i - 1)**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7076.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:06 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s**2 + 7*s + 7. Let q be c(1). Sort -5, -0.03, 4, q, 1\/5.\nAnswer: -5, -0.03, 1\/5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evo when three letters picked without replacement from {e: 2, m: 3, v: 4, o: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - ((-2*sqrt(84) - sqrt(84))*1 - sqrt(84) - sqrt(84) - sqrt(84)))\/(sqrt(12) - 5*sqrt(12)*-2).\nAnswer: 7*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 5*s. Suppose -2*d + 4 = -a, -4 = 3*a - 4*d + 2. Let j(k) = 3*k**a + 94*k - 55*k - 50*k. Calculate -4*j(b) - 9*q(b).\nAnswer: -3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/447 (c) -17\/4 (d) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z. Let d(v) = 1782770*v**2. Determine a(d(n)).\nAnswer: -5348310*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956 is divided by 593.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-782) - 115\/510. Sort k, 2, -0.062, -2 in decreasing order.\nAnswer: 2, -0.062, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.252 - -3.748. What is the third biggest value in -0.5, r, 3\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:42 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -20, 2281*s - 2278*s - 26 = 5*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -1. Let u = -8 + a. Let b(m) = 13 - u + 4*m**2 - 7*m - 3*m**2. Determine b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 2. Let y = 184 + -188. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669534.59 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 15475*o**4 + 16872040*o**3 + 7596916040*o**2 + 1225709414160*o + 8213467051440 = 0. What is o?\nAnswer: -1106, -438, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - f = -18 + 17, 3*f + 29 = 5*x. Let s(c) = c**2 - 4*c + 8. Let r(j) = j. Determine x*r(h) + s(h).\nAnswer: h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 5*p - 15. Let l be o(-5). Let z = l - -18. Solve q - 11 = 4*c, 0*c - z*c = -q + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 653400?\nAnswer: 653345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 32957.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(5 - (-1287)\/(-258)). Let h = t - -658. What is the highest common factor of 105 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2570683*n**3 - 22*n + 195.\nAnswer: 15424098*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2) - (sqrt(2) + -1)) - sqrt(22)\/(sqrt(66)\/sqrt(6)) - (sqrt(24)\/(sqrt(48)\/sqrt(4)) - ((sqrt(32) + sqrt(2))*-3)**2)*-1)*4.\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + 2*b**2)*(b**2 + 0*b**2 + b**2) + 0*b**3 + 10*b**3 - 3*b**4 - 7*b**3.\nAnswer: b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186343 - 144?\nAnswer: -186487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10761032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {a: 11, o: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 946, -3, -1\/25, -0.4, 0.077.\nAnswer: -3, -0.4, -1\/25, 0.077, 946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.84 millilitres in litres?\nAnswer: 0.11884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -u + 15, 4*y + 12 + 0 = 3*u. Solve 15 = -u*m - 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/2688*4)\/((-1)\/9)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 13) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134834 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s - 3. Let i be (-2)\/(-10) - (-1792)\/40. Suppose 0 = -2*h + 3*v + 3, -7*h + 2*h = 3*v + i. Give o(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.016 - -6.884. Let z = -10 + 17. Let p = z - n. Which is the nearest to p? (a) 4 (b) 1\/2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 4:03 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 12*t**2 + 1071*t - 810 = 0.\nAnswer: -90, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((6\/36)\/((-23)\/(-4048)*100)).\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242369?\nAnswer: 17, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 345454?\nAnswer: -345453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 270*b**2 - 88835*b.\nAnswer: 5*b*(b - 163)*(b + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 2*s**2 + 0*s**2)*(-4*s**2 - 12*s + 3*s**2 + 3*s) to the form o*s**4 + l*s**2 + h + w*s + y*s**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -z + 861. Calculate the remainder when z is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 26.\nAnswer: -86\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/120 + n**5\/12 + n**4\/2 + 7*n**3\/6 + n**2. Suppose 0 = -0*j - 20*j + 120. What is the units digit of d(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9139806 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321 + 329. Suppose -60 = -b*w - 4*w. Let n = -10 - -14. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68348075.\nAnswer: 5, 17, 73, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/71 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.02. Let d = g - 0.0266. Round d to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 - 1\/5. Suppose -8 = -2*h + 2*d, -3*h + 5*d + 2 + 18 = r. What is the third derivative of 3*g**2 + h*g**2 - 2*g**5 - 5*g**2 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2)*2)**2 - sqrt(2)*-1*-2.\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 147.239, -0.131, 5 in ascending order.\nAnswer: -1\/2, -0.131, 5, 147.239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41470.01 nanometers in centimeters?\nAnswer: 0.004147001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5*g**4\/4 - 3*g**2\/2 - 3*g - 95. Let b be h(-1). Solve 0*u = -b*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 - 0) + 6. Suppose 8*k + 7 = v + 4*k, -2*v + k = -r. Is (v - 2)*-1*-119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311210 + 1003?\nAnswer: -1310201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/4 - 150945*v**2\/2 - 603789*v\/4 - 75474 = 0. What is v?\nAnswer: -1, 100632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 + 11*u**2 + 5*u + 4. Let w(q) = q**3 + 5*q**2 + 2*q + 2. Let k be (6\/(-8) - (-23625)\/(-100))*-1. Let a = k + -239. Calculate a*y(t) + 5*w(t).\nAnswer: -t**3 + 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1126 + 4.6434. What is i rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -39, -2.\nAnswer: -39, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f = -43*f - 693. Calculate the lowest common multiple of f and (-150)\/(-3) + 5\/(-5).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218145 is divided by 280.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0, -0.042, 3\/4, 5\/8?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 11 = -c - 7, 2*c + 18 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/2*1050\/(-156975)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -8*o - 20. Suppose -12 = -5*s + 3*u, -s + 0*u = -5*u - o. Suppose 4*z = -4*h + 56, 4*z - 4 + s = 0. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 905.5 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose -o = 5*t - 45, w*o - 5*t = 2*o - 75. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 0.4, 1\/15, 2 in decreasing order.\nAnswer: 5, 2, 0.4, 1\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*b - 128. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.88 + -2.908758. Let i = n + 51.977758. Let r = -52 + i. What is r rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70\/3 + -68\/3. Sort i, -2\/13, 1\/8 in increasing order.\nAnswer: -2\/13, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:53 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24817, -5 in descending order.\nAnswer: -2, -5, -24817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*s = -3*q - 1, 8 = q - s. Suppose -q*n = -7*n + 68. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c = 0. Suppose -4*a + 2*a = -10. Suppose 3*b - 77 = -a*v, -5*b + b - 20 = -v. Solve c = 2*t - 0*x + 5*x - v, 4*x = t + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 119*z - 623. Let k be h(5). Solve -k*i + 7 = -90*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/54 + 4*a**3\/27 - 4*a**2\/9 + 36*a. Factor u(v).\nAnswer: -2*(v - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 322\/1932 - (0 + (-119)\/6). Suppose -r = -57 + 7. What is the highest common factor of v and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67501.73 kilograms to milligrams.\nAnswer: 67501730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*t**4 - 2*t**4 + t**2 - 8*t**4 + 2*t + t**3 as g*t**4 + b*t + f*t**2 + w*t**3 + d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 1085311?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 201010021120211 (base 3) to base 8.\nAnswer: 46607446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*m - 2 + 6 = 0, -116 = -5*s + 4*m. Suppose 4 + 6 = -2*j + 2*r, 5*r = -4*j - s. Sort 2, j, -3.\nAnswer: j, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:23 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71873 - 71868.8721. What is t rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 - -272. Let i(l) = -6*l + 35. Let r be i(g). Solve r*c + 20 = v, -2*v + v + c = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.1064 - 47.07. Let x = -0.01 + -0.047. Let f = t + x. Round f to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - (sqrt(187) + (sqrt(187) - -6*-1*sqrt(187)))) + sqrt(187))*1)\/((-1*sqrt(66)*3)\/sqrt(6)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -7 - (3 + -6). Let k(a) = -a**3 - 5*a**2 - 3*a - 7. Calculate the lowest common multiple of 66*(-2)\/(-8) + (-6)\/(-4) and k(t).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + -0.07. Let j = y - -0.08. Let w = 2 - 1.7. Which is the smallest value? (a) 0 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*w - 2. Let m be (-222)\/(-111)*(3\/2)\/w. Let x(h) be the second derivative of -3*h**5\/10 - h**2\/2 - 2*h. Calculate x(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 401*w**2 + 3*w - 221*w**2 - 1.\nAnswer: 180*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*x + 461*x - 5855 + 103*x + 171 + 2765*x wrt x.\nAnswer: 3497","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**3 + 298*k**2 + 48*k + 1632. Calculate a(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*i + 90, 2*v + 12 = 3*i + 41. Let j = 12 - i. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/22)\/((-2)\/(-8)). Suppose 0*l - l + 13 = 2*f, -m*l + 11 = f. Solve -l*j = -j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 564.5 and -0.091741878.\nAnswer: 564.408258122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.872894 litres to millilitres.\nAnswer: 2872.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*y + 7 = 0, -i + 5*y - 1 = 2. What is the smallest common multiple of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -13980718.4422\nAnswer: -13980642.4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707745?\nAnswer: 3, 5, 29, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9) - (-304)\/6. Suppose -2*w + 14 = -q. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13 + 888*b + 6 - 886*b. Let w be o(-8). Solve l + 4*l + 31 = 4*y, -2*l - 18 = -w*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrl when three letters picked without replacement from {r: 1, l: 4, v: 1, z: 5, u: 3, y: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2088 + 2089. What is the closest to -1 in -3\/2, 19, t, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)\/(i**(1\/3)*i))**(-30)\/(((i**0\/i)\/i)**22*(i*(i**(-1\/4)*i)\/i)**(-28)) assuming i is positive.\nAnswer: i**435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1546 * -774\nAnswer: -1196604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**(8\/11))**(-1\/3) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -13 + 16 + -27 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.19 + 10\nAnswer: 5.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*v - 8, 4*m - 3 = -3*v - 9. Suppose -28 = 2*n - m*n. Let a = 4 - n. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (2 + -2 - -2). Let t(c) = c**3 + 5*c**2 - 8*c - 7. Let j be t(h). Let b(r) = 5*r + j*r - 9*r. What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let x(z) = 2*z**3 + 2*z**2 + 5*z + 9. Let p be x(-2). Let d be (-80)\/(-36) - (-2)\/p. Let n(l) = 19*l**d - 9*l**2 + 3*l**2. Determine c(n(g)).\nAnswer: -169*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2738174468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3 - 3)*(132339 - 132339 + 2935*o**2).\nAnswer: -5870*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q**3 + q**3)*(-8*q - 1 + 0 + 6*q - 2*q**2).\nAnswer: 2*q**5 + 2*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 821317.999978 - 821316. Let f = 2 - n. Round f to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876672256 to the nearest integer?\nAnswer: 29609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7421?\nAnswer: 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1177016839 to five decimal places.\nAnswer: -0.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14\/101 - 8299\/606. Let d = 2\/17282943 - -556681451\/80653734. Let v = -86\/189 - d. Calculate the common denominator of a and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29125185.\nAnswer: 3, 5, 113, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 7*h**2 + h - 6. Give k(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/2))**(-12\/17))**(5\/19) assuming g is positive.\nAnswer: g**(-30\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -44*f**2 - 7*f - 2. Let b be r(-1). Are -38 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10582 is divided by 212.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559042839.\nAnswer: 3, 11, 23, 37, 126733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22116 and 2841?\nAnswer: 20943852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3b420 (base 12) to base 15\nAnswer: -19396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 37914457?\nAnswer: -3\/37914457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/5 - 1608*x**2\/5 + 9741*x\/5 - 1626 = 0 for x.\nAnswer: -542, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1286700 and 2144500.\nAnswer: 6433500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/24 + 7*i**3\/3 - 96*i**2 - 169*i. Let l(t) be the first derivative of z(t). Give l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -10*k + 122. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let c(b) = b**2 + b + 1. Let g(f) = -2*f**2 + 4*f + 1. Let x(h) = y*c(h) + g(h). What is the second derivative of x(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461631071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**5)*h\/(h*h*h**(-5)\/h))\/(h\/((h*h**(-6)*h)\/h)*(h\/(h\/((h*h\/(h**(-4)*h)*h*h)\/h)))\/h))**(1\/15) assuming h is positive.\nAnswer: h**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 206*z**2 - 1086*z + 16243. What is i(201)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.45844 millilitres?\nAnswer: 0.00245844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12232 (base 5) to base 13\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410016 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -18, -31, -48, -69?\n\"Answer: -2*b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b3 (base 12) to base 7.\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2955632 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3096, 6195, 9292, 12387, 15480?\nAnswer: 18571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128113\/2 > 64057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-112)\/(-20) + -5). Suppose 0*b - 2179 = -5*r + 4*b, 5*r - q*b - 2178 = 0. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -43*z**2 + 1239*z - 67. What is m(29)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 5*s + 4*j + 364, -91 = -s - 5*j. Calculate the remainder when 175 is divided by s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 + 2*s**2 + 2*s - 1. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009542711 rounded to four dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440378363 and 3158?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j - 33*j**3 + j**2 + 85*j**3.\nAnswer: 52*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279484 is divided by 97?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/2520 + a**4\/8 - 2*a**2. Let i(f) be the second derivative of g(f). Let t(l) = -3*l. Calculate t(i(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -13*i - 300. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51931189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkjk when four letters picked without replacement from {j: 3, l: 2, k: 6, m: 8}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4652?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u + 5. Let x be z(-4). Let j = -383\/3 + 127. What is the second biggest value in j, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, k: 1, r: 5, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83405*-20.4.\nAnswer: 1701462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/3 + 37*b**4\/3 - 529*b**3\/3 - 37*b**2\/3 + 176*b = 0.\nAnswer: -48, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 584, 1145, 1706, 2267?\n\"Answer: 561*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 + -4))\/(85\/(-34))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -0*t - 2*r, -35 = -5*t - 5*r. Let s = t - 3. Suppose 8 - 28 = -s*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00522986 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 267 = -5*v + 80, 0 = v - 4*i - 55. Which is bigger: v or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(1\/33))**44 assuming c is positive.\nAnswer: c**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-12)*(-16)\/3)\/(-1*2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 19. What is the second biggest value in -3, m, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, k: 1, c: 1, b: 1}. What is prob of sequence gkc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:33 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 - 211. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.6 (b) -0.04 (c) 2\/5 (d) 2 (e) -1 (f) 778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. What is the least common multiple of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94167, 94167, 94165, 94161?\n\"Answer: -m**2 + 3*m + 94165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/20 + x**4 + 2*x**3 + 8*x**2 + 4*x. What are the prime factors of h(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1518, -44, 112 in descending order.\nAnswer: 1518, 112, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3129 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2072 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - 3*n + 1. Calculate l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7775147?\nAnswer: 757, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -291b60c (base 13) to base 6.\nAnswer: -1143404025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -97*g**2. Let t(h) = 3*h - h + 7 + 74 - 81. Give n(t(k)).\nAnswer: -388*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 102. Let m(g) = -5*g + 1. What is -m(l) - r(l)?\nAnswer: l**2 + 5*l + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from vyvyyvyvvvyyv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z, -3*z = -v + 3. Let l(r) = r + 1 - 1. Calculate l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (386 + -415)\/(2\/(-134) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6 - 3 + j**2 - 1 - 4 + 2*j. Let z(k) = -5*k + 0 + 1 + 4*k - k**2. What is c(n) + 2*z(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/((-8)\/8*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36491569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -170 (b) -7 (c) -3 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1493, 6300, 14423, 25874, 40665, 58808?\nAnswer: 80315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(21)\/sqrt(3).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 1449?\nAnswer: -1448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1728))\/(sqrt(4) - sqrt(576)*-4) + 3.\nAnswer: 48*sqrt(3)\/49 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20071 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -2.06. Let w = 0.22 - 12.22. Let z = w - -8. What is the closest to n in -0.5, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {y: 4, r: 1, s: 1, b: 2, d: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970462?\nAnswer: 2, 71, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*-3*3636\/303\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195 = 16*g - 6053. Let u = g + -264. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 6)\/2 - -6. Let n(v) = 54*v**2 - 108*v**2 + 55*v**s - 12 - 2*v. Calculate the smallest common multiple of n(5) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:54 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.5 (b) 2\/7 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5891760 and -43\/34068.\nAnswer: 100159920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7266407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Simplify ((z\/((z\/z**(-9))\/z))\/z*z**(-1\/7))**(-28)*(z*z\/(z\/(z\/z**(-8)))*z**(-3)*z)**(-10\/9) assuming z is positive.\nAnswer: z**(2224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1461 = -2*v, -898 = -3*g + v + 560. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(6\/9 - 1). Suppose 4*t = -3*w - x*w + 5, t = -4*w - 2. Suppose 0*g - 36 = -2*v + 2*g, g = -t*v + 27. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2*o + o - o. Let p = 0 + -4. Let f(w) = -3*w. Let r(h) = -8*h. Let x(u) = p*r(u) + 11*f(u). Give s(x(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -43)\/3 + (0 - -3). Let a be b\/(-65) - (-1360)\/(-9516). Is a greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 26, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 54, 74, 96, 120, 146?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 179*j - 151 = 0, 393 = -2*h - j + 402 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 2*m + 2. Let j be x(2). Let w(l) = -7*l - 5. Let h(q) = 4. Let o(v) = v + 4. Let r(t) = 5*h(t) - 6*o(t). Determine j*w(p) - 3*r(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of ((-4276440)\/132)\/(-6) - (-18)\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 14 + 6 + d**3 - 6*d**3 + 6*d**3.\nAnswer: d**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*u + 451*u = -102 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4 - 2)*((h - h - 3*h)*(3 - 1 - 4) + 0 + h + 0).\nAnswer: -119*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 55929*r - 559279. What is t(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90969*r**3 - 95021*r?\nAnswer: -545814*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c781 (base 14) to base 12.\nAnswer: 17ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77*(-80)\/(-220) - (3 - 2 - 0)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -610162b?\nAnswer: -6101648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241533 and 1713?\nAnswer: 241533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 48 = 48. Let w = 55 + g. Calculate the smallest common multiple of 5 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24652847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 5, 1, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14268, -14271, -14276, -14283, -14292, -14303?\nAnswer: -14316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {r: 1, c: 1, g: 1, d: 6}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/7 + 3163*i\/7 - 15790\/7.\nAnswer: -(i - 3158)*(i - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 567283 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*w, -o + 2 = 5*w - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -9672, -1\/3, 0.12 in decreasing order.\nAnswer: 0.12, -2\/7, -1\/3, -9672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {b: 7, l: 3, v: 1, y: 5, c: 2, t: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b - 24 = 0. Let o be 15*b\/27*-6. Let m be (595\/o)\/7*4. Solve -2*w + 5*a = -m + 3, 5*w + 2*a = -23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 16*t - 66 = 3*u - 0*u, -t + 20 = -u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(637) + 0 + sqrt(637) + 3*(((sqrt(637) + -1 - sqrt(637)) + sqrt(637) - sqrt(637)) + sqrt(637)) + 2)*-4)**2.\nAnswer: 4480*sqrt(13) + 255056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-9)\/(-2)))\/((1568\/(-63))\/(-14)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a - 43*a + 3180 = -58*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 + 2201?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 3. Let w(l) = 2*l - 4. Let i be w(y). Solve -i*b + 3 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = 3*g, 5*b - 4*g - 6 - 29 = 0. Suppose b*r - 60 = 2*r. Let d = r - -9. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 39 - 183 + 48 - g**3 + 45 + 18.\nAnswer: -g**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4356) - (sqrt(4356) + 1*(sqrt(4356) + (sqrt(4356) + sqrt(4356) + sqrt(4356) + -2*sqrt(4356) - sqrt(4356)))))\/(-6*-1*(sqrt(192) - sqrt(12))).\nAnswer: -11*sqrt(3)\/18 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -5 (c) 0 (d) -4\/5 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160555593 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1709733 and 52\/15.\nAnswer: 8548665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + -2160?\nAnswer: -2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111093800?\nAnswer: 2, 5, 227, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m. Let o(q) = -q**2 - 5*q - 5. Let i(l) = -o(l) + 2*p(l). Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 257, 546, 837, 1130, 1425, 1722?\n\"Answer: d**2 + 286*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 not equal to 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let w(d) = -3*d + 25. Calculate -4*f(c) - w(c).\nAnswer: -c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017157, 2034064, 3050971, 4067878, 5084785?\nAnswer: 6101692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v**(-31)\/v)*v)*v*v*(v\/((v**(-8)\/v*v)\/v))\/v assuming v is positive.\nAnswer: v**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i*i*i**(1\/21)*i*i*i*i*i)\/i))\/i**(-3\/7)*(i**(2\/9))**(-3\/20) assuming i is positive.\nAnswer: i**(-1187\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 278*u**3 + 25*u**3 + 378*u**3 + (-3 - u + 3)*(-u**2 - u + u).\nAnswer: 682*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/((-2)\/16))\/(-1). Suppose u*d - 4*d = -24. Let k = d - -10. What is the highest common divisor of k and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1008) + 3*1*sqrt(1008) + 5 + (sqrt(1008) + 2*sqrt(1008) + sqrt(1008) - sqrt(1008)))**2.\nAnswer: 840*sqrt(7) + 49421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 2*l**2 + 1\/20*l**5 - 10*l + 1\/3*l**4 + 5\/6*l**3 + 0. Suppose -q - 4*q = 3*r + 9, 2*r - 16 = 4*q. Calculate a(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/120 + 7*r**5\/60 - 7*r**4\/24 + r**3 + 5*r**2. Determine u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*x - 474 + 624, -8*x + 240 = 4*u for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 + 31. Let l(x) = 6*x - 57. Let v be l(7). List the prime factors of o(v).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 + 137. Let t be 3\/(-6) + z\/4. Calculate the greatest common factor of t and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + sqrt(847) + (-2*sqrt(847))**2 + 3.\nAnswer: 22*sqrt(7) + 3391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 24. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/((-160)\/(-2))*10\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1277854 and 3592?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f + 2. Let s(b) be the third derivative of b**4\/6 + 2*b**2 + 460. Calculate x(s(a)).\nAnswer: 40*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 43497 - 42878 + 32*p + 45*p. Give d(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - o - 1. Let k be m(-1). Let s = 12 - k. Calculate the smallest common multiple of s and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 240 (b) 5 (c) 0.3 (d) 1 (e) 3 (f) 5.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*b**3 + 0*b**2 - 190*b**3 + b**2 + 7*b in the form n*b**3 + o + x*b**2 + r*b and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 855550\/130 - (-2 + 53\/26)*4?\nAnswer: 19743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 476*j - 488*j + 10164. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*r**3*t*w**2 - 186*r**3*t*w - 18*r**3*t + 236*r**2*t - 27*r**2 + 5*w**2 wrt r.\nAnswer: 378*t*w**2 - 1116*t*w - 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73 (b) 2\/13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 235?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45)*-4*4 + sqrt(45))\/sqrt(9).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1754*b**5 - 1038*b + 1 wrt b?\nAnswer: -35080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - b**5 - b**5 + (0 + 1 - 2)*(3*b**5 - b**5 + 0*b**5) - 15*b**5 - 3*b**5 - 4*b**5.\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 37076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 1161069?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 19964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 14*s**2 - 34*s - 65. Give j(-14).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(10\/7)*k*((k*((k*k**(-3\/5))\/k)\/k)\/k)\/k*k)**(-33) assuming k is positive.\nAnswer: k**(1188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15959 + 79801\/5. Solve -b*i**3 - 16\/5*i**2 - 8\/5*i + 0 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -v - 98, 4*v - v = 6. Let r be 8\/(-40)*5\/2. What is the second biggest value in a, -1, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1589*0.3\nAnswer: -476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 75, 125, 189, 273, 383, 525?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -1 + 1\/2*s**3 + 0*s**2 - 3\/2*s = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47236497055 + 0.\nAnswer: 47236497055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 200225712 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 21. Let m(h) = 10*h + 4. Does 15 divide m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j**3 - 25*j**2 + 8*j. Let y(v) = 12*v**3 + 26*v**2 - 7*v - 1. Let a(r) = -3*t(r) - 4*y(r). Factor a(f).\nAnswer: -(f + 2)*(3*f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l**2 - 2*l**3 - 15*l**2 + (-3*l + 5*l + 0*l)*(5*l**2 + 0*l**2 - 2*l**2) + 0*l**2 + 0*l**2 + 2*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 27*s - 124. Let l be f(-30). Which is smaller: l or -209?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.081 + -0.081. Which is the closest to -1? (a) -4 (b) f (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:03 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-132 - 119*j + 132)*(11*j - 7 + 7) + 7 - 1 + 2 - j**2 + (-3*j + j + 0*j)*(0*j + 6*j - 5*j) to a*j + f + r*j**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.7018502 + -0.5.\nAnswer: -121.2018502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**6\/160 - 3*a**5\/80 + a**3\/2 - 8*a**2. What is q in g(q) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:47 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 11*v**2 - 18*v + 16. Suppose -12538 = -12*f - 12634. Determine c(f).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x**3 - 9*x**2 - 13*x + 4. Let n(a) = -a. Let k(t) = -4*n(t) + r(t). Let w(u) = -6*u**3 - 2*u**2 - 2*u + 1. What is -4*k(b) + 18*w(b)?\nAnswer: -8*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*638\/725*10?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 - 12*i**2 + 21*i + 12. Let s(l) = -l**3 + 2*l**2 - 2. Determine m(w) + 6*s(w).\nAnswer: -13*w**3 + 21*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10846 + -32534\/3. Put -4, -1\/3, -0.2, b, 11 in increasing order.\nAnswer: -4, -1\/3, -0.2, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 9. Let f be (-4)\/z + 30\/(-9). Let x be ((-2)\/3)\/(1\/f). Solve 6 = 3*h - 3*r + 3, 0 = h - x*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24\/955627 - 2864029911\/628802566. Let k = -15\/94 + x. Calculate the common denominator of 43\/3 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2. Let o = -12941\/12 - -1079. Let c(b) be the second derivative of o*b**4 + 0*b**2 - 3*b + 0 + 0*b**3. What is j(c(t))?\nAnswer: 147*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 3\/2 + (-29121)\/(-1142). Let t = -49\/2 - -24. Do a and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*v + 256*v + b = 297831, -v - b = -49641. Does 137 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60660 is divided by 3079?\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 2*r + 1. Let s(x) = -2*x**2 + 4*x + 2. Let i(j) = -2*a(j) + s(j). Let q(o) = 86*o. Calculate q(i(z)).\nAnswer: 172*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951 - 14*z**2 + 4*z**2 + 1867 - 916.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/r**(-4))\/((r\/r**(2\/11))\/r*(r**2*r)\/r) assuming r is positive.\nAnswer: r**(94\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (198\/24)\/11 + (-122)\/(-8). Suppose 3*d - 3*q = 51, 0 = -q + 4*q + 6. Suppose -19*h = -d*h - f. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 + -3.6. What is the biggest value in -3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 986, 1031, 1054, 1043, 986?\n\"Answer: -2*m**3 + m**2 + 56*m + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -3*c - 3*q, -2546*q = -2544*q + 8 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23342 divided by 2.\nAnswer: 11671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {l: 5, w: 6, s: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-5))\/(-1) + -11. Let c be (78\/208)\/((-3)\/o). Is -26\/9 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*o + 740*o = -1300. Let z = -258 + o. Solve -5*j - 5*y = 5, -3*j = z*y + 3*y - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + 0.8. Suppose k = 7 - 9. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-12))\/(m*m**(-6\/13)*m))**(-38) assuming m is positive.\nAnswer: m**(-5662\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27954*r**2. Let p(f) = -8*f**2. Calculate p(n(d)).\nAnswer: -6251408928*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z**3 + 2*z - z**5 + (1 + 2*z**3 - 1)*(1696*z**2 + 44971 - 44971).\nAnswer: 3391*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -18, 20, 94, 210?\n\"Answer: p**3 + 9*p**2 - 26*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j + 21*j + 174 - 66 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6032348 and 1573656?\nAnswer: 36194088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 28 = r + 7*k, r + 7 = 2*k. Let t(v) = -102*v + 6*v**2 - r*v**2 + 102*v. Let c(h) = -3*h - 2*h + 3*h. Give c(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6994 = 108*r + 7534 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/3*96\/80. Let o be (2\/(-3))\/(r\/(-48)). Suppose 3*t = t + o. Let v(l) = -2*l**3 + l**2 - l + 2. What is v(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184313 + 184316. Suppose -5\/2 - 7\/8*u**m + 13\/2*u + 65\/8*u**2 = 0. What is u?\nAnswer: -1, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 443\/2 - (-1)\/2. Suppose 3*s + q = h, -s - 4*q = -0*s - 63. Let n(a) = 3740*a + 37430. Let r be n(-10). What is the greatest common divisor of r and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 32, 65, 94, 107, 92?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + 0*v)*(2*v - 2*v - v)*(-v - v - v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - l - 18, 3*l + 27 = -5*u + 4*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 1, s: 3, j: 1, m: 2, o: 9}. What is prob of picking 1 x, 1 i, 1 o, and 1 m?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*a - 5*c, 3*a + 2*c - 28 = -41 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 - 0.78. What is the closest to -3 in a, 2\/5, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*m - 33, -2*m + 28 = 4*o + 2*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1157*z - 1189*z = -3808. Calculate the remainder when 203 is divided by z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 2\/1241 (d) 7 (e) -0.5 (f) -8\/7 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**3 - 21*b**2 + 8*b - 14. Let z(x) = 8*x**3 - 25*x**2 + 7*x - 16. Calculate -6*r(c) + 5*z(c).\nAnswer: -2*c**3 + c**2 - 13*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**1\/w)\/w*w*w)**(-16\/7)*(w\/w**(1\/5))**(16\/5) assuming w is positive.\nAnswer: w**(-352\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -41. Suppose i = -2*r + f*i + 64, 5*r - 175 = 2*i. What is the third derivative of 16*c**3 + r*c**3 - 18*c**3 + 31*c**2 - 12*c**2 wrt c?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmmmtmmmmmmmmmmm. What is prob of picking 2 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 3 - (7 + -25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 - g**4 + 2*g**4)*(293 - 148 - 8*g - 144).\nAnswer: -8*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(12))*-3 + 0)**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5315 + 5315 - s**2. Let w(f) = -2*f**2 + 3. Let j(h) = 2*h**2 - 4. Let n(d) = 3*j(d) + 4*w(d). Determine n(u(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -o + 464, 5*w = 2*o + 2*w - 939. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7054.3 + 7120.3. Let d be 2 + (1\/(-3) - 0). What is the second biggest value in 0.5, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 1, q: 3, b: 1, d: 7, o: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -72. Let f be (d + 59)*((-134)\/(-6))\/1. Let j = -19087\/15 + f. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 23*r + 6. What is a(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - -33. Let p = -119 + u. Let h = -5 - p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233938 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-490)\/175)\/((-7)\/35).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 504600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -126. Let h be (j - -2123)\/((-6)\/432). Round h to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2419 (base 16) to base 4\nAnswer: 2100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65d0275 - 0?\nAnswer: 65d0275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-3*f + 5*f + 3*f)*(2 - 3 + 0)*(-3 + 0 - 1)*(-1 - 3 + 8).\nAnswer: 160*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, i: 1, f: 2, c: 4, g: 5}. What is prob of picking 2 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63\/8 of a meter?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 4*f - 5, -2*d + 6*f - 3*f + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44524045 (base 6) to base 8.\nAnswer: 5112175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518333394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1202*p + 192 + 1267*p + 112 - 2470*p + 108.\nAnswer: -p + 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -517.8 - -600. What is the smallest value in -1, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 12 = 17*v. Suppose 3*k - 13446 = -3*i, -2*k + 6863 - 24821 = -v*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 323*t - 4236 + 4236. Let i(z) = -30*z**2. Give a(i(l)).\nAnswer: -9690*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 + -227. Suppose 42*r - 583 = z*r. Calculate the remainder when 158 is divided by r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.6. Let u = -4 - -9. Sort x, u, 4 in increasing order.\nAnswer: x, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:51 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5928*o + 177843. Determine g(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2653072 (b) 5 (c) 1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280\/13 + -1387\/65. Suppose -4\/5*l + p*l**3 - 2\/5*l**2 + 8\/5 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924015 is divided by 574.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022011011012002 + 12?\nAnswer: 10022011011012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5111971485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/4*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 4. Let v be x(-7). Let s = -2 - -36. Let n = -31 + s. What is the closest to v in -3, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5121.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 (base 10) in base 12?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 173984 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + 1.7. What is the closest to -3 in 0.5, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 - ((47 - (29 - -8)) + -23 + -3)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 143, -0.4, -3, -5 in decreasing order.\nAnswer: 143, 0.4, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zys when three letters picked without replacement from {u: 6, y: 1, z: 1, s: 3, q: 4, x: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991531.\nAnswer: 991531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -22*c**6 - 4*c**4 - 4*c**3 + 14*c**2. Let y(k) = -k**4 - k**3 - k**2. Let f(p) = -v(p) + 4*y(p). What is the third derivative of f(a) wrt a?\nAnswer: 2640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 0. Suppose g = -4*p + 26. Solve i + 5*j + 0*j - 26 = 0, -p*i = 3*j - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16c466a + 15?\nAnswer: -16c4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 99, 4, -3 in descending order.\nAnswer: 99, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1192 - 1197. Let s = 0.06 + -0.36. What is the closest to 2 in s, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/70 + 2*n**3 - 21*n**2. What is the first derivative of q(l) wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/36072 and -65\/972.\nAnswer: 324648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 = -11*a, 2*l + 5*a + 1 = -4. Let o be 12 - (2 + 0)\/1. Suppose 5*h - o - 5 = 0. Solve -2*i = -5*r + 6, l*i + 15 = -5*i + h*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45659989*t**3 + 365106*t**2 + 4*t - 11 wrt t?\nAnswer: 273959934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2, -3*a - 6 = -p + 4*p. Let h be ((-20)\/(-7))\/(((-15984)\/(-756))\/37). Put h, p, 13 in ascending order.\nAnswer: p, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 3, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 177005?\nAnswer: 177007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 461\/1092 + 1\/156. Let w be (10\/3 - -1) + -4. Let j = 0.04 - 4.04. What is the nearest to w in j, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (32 - (-34 - -35)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -277 and -0.09214.\nAnswer: -277.09214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*h - 2*h + 5*f, -3*f = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -39*f**2 + 121*f**2 - 41*f**2 - 43*f**2. Let k(u) = 40*u**2. What is k(a(b))?\nAnswer: 160*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbctcbtbbbucbttt. Give prob of picking 3 t and 1 u.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*z - 6, -4*l + 8 = 3*z + 2*z. Suppose t + 8*s - 3*s + 25 = z, t - 2*s - 10 = 0. Solve -2*a - 2*h = t, -2*h + 7*h = a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265 by -53.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**35\/(s\/(s*s**(-15\/7)*s)*s**(-2\/27)\/s) assuming s is positive.\nAnswer: s**(-13\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5616 - -14173. What are the prime factors of h?\nAnswer: 7, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*u**3 - 2888*u**2 + 12096*u + 1664.\nAnswer: -4*(u - 4)*(u + 52)*(15*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let b be q(3). Let z(s) = 4*s - 82. Let o be z(20). Let w = b + o. Solve 3*h = -2 - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*p**2 - p + 174?\nAnswer: -266*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -639708 by 6.\nAnswer: -106618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -65*f + 126. Let o(a) = 64*a - 130. Let z(h) = -7*n(h) - 6*o(h). What is the thousands digit of z(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 1, g: 3, t: 6, c: 1, r: 3}. What is prob of picking 1 m, 1 b, and 1 c?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/4 + 4*b**3\/3 - 5*b**2\/2 - 4*b + 2. Let j be s(-5). Is 1 - 2\/j*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Suppose 14*n = 27*n. Let w(f) be the second derivative of -2*f + n*f**2 + 0 - 5\/3*f**3. Determine w(a(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8101744 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g + 8. Suppose -4*t - 2*l + 6 = 0, t + 3 = -46*l + 47*l. What is x(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184.017719 - 0.061961. Let c = j - -212.08. Let u = 28 - c. What is u rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465.9762 + 0.4238. What is n rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 46. Let o be y(26). Solve 14 + 4 = o*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1503, -1432, -1253, -912, -355?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 466040\/5978 - (-22)\/539\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*p**2 - 120.\nAnswer: -442*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 17554828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 1411\/(-340))*(-8)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 469, 722, 975, 1228, 1481?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -1\/3, 5 in ascending order.\nAnswer: -1\/3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*m - 15, -2*f = f + 2*m - 17. Suppose f*b - 881 = -2*w, -4*w - 283 = -4*b + 905. Suppose n = 6*n - b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*16 + 0 - -1. Let c = x + -14. Calculate the remainder when 0 + 1030\/14 - (528\/77)\/12 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61037 + -464?\nAnswer: 60463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 2*d**2 + 4*d - 3. Let z be b(2). Let r = 10 + -11. What is the units digit of (1 + z)\/(0 - r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3464\/12903 - 5\/1173. What is the third smallest value in 6\/19, y, -0.2?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427582888 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 1. Let p be y(1). Let b(q) = 5*q + 3. Determine b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1448 = t - 3*u, 0 = -4*u + 16. Let g = t - 255. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a gram in milligrams?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let g(y) = -y**3 - 4*y**2 + 7*y + 6. Let r be g(-5). Let l be (24\/90)\/(4\/10). Sort r, d, l in decreasing order.\nAnswer: l, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96822 is divided by 3645?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/198 - 740\/2124 and -19\/6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = 7*a - 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27632047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2826 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33221, -66999, -100777, -134555?\n\"Answer: -33778*j + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614808 (base 9) in base 3?\nAnswer: 2200111220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -53. Let c = a + 53. Let y be -25*(6\/c + (-10)\/6). What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 9. Suppose 2*b - p*b = -35. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + (12 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*o - 27, -12 = -i + 3*o + 2*o. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*m = 32732, -7*m = 4*v - 8*m - 26196. List the prime factors of v.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 + 873\/126)\/(13\/(11011\/(-12))) and 17\/9252?\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -63. Let i(t) = t**3 + t**2 + t + 3. Let n be i(3). What is the greatest common divisor of f and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*b + 7 = 0, 5*b + 2 = -m + 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -200 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 102886949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2 - 4 = -38*t + 41*t, 0 = 4*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 722056563 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 244 = -5*o, o + o - 116 = 5*k. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 352458227 + 1?\nAnswer: 352458228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -364445 - 18?\nAnswer: -364462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -66. Let i = h - 59. Let k be (3 + -4)*(2 + -5). Is k > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/157 (b) 48 (c) -14 (d) 2\/7 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t - 4*t - 22*t**2 + 5*t - 11*t**2 + 4*t to the form q*t**2 + v*t + f and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (917\/98 + -10)\/((-12)\/(-14))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-50))\/(-39*(-202)\/177255)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282481620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.06 * 3\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 1. Let m be l(-5). Suppose m*d = 2412 + 4110. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914571 is divided by 112.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (-16)\/(-6). Let l be f\/(-2)*(-2)\/(-14). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Suppose 0 = -0*s + 7*s - 14. Let u(v) = -157*v + 157*v + 3*v**s. What is y(u(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 48*u**3 + 202*u**2 + 86*u**2 - 44*u**3 + 90*u**3 to the form r*u**2 + c*u + g + d*u**3 and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g. Let f(m) = -m**2 - 1. Let y(k) = -4*k**2 - 2. Let z(a) = -2*f(a) + y(a). Calculate q(z(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 27*x + 110)*(2*x - x - 2*x)*(x - x + x) - 6*x + 6*x + 6*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -547, -541, -523, -487, -427?\n\"Answer: i**3 - i - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -212121001 (base 3) in base 11?\nAnswer: -11a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x = 0. Let p = -65\/4 - -17. What is the nearest to -3 in x, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 28. What is v(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5 + 0*a - 3*a + 6 + 6 + a**2. Let y be c(5). Factor v**4 + 11*v**3 - 4*v**4 + 6*v - y*v**3 + 3.\nAnswer: -3*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548644?\nAnswer: 2, 19, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39b + -317?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16090 or -16091?\nAnswer: -16090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1626.516 + -2.484. Let l = x + 1395.6. Round l to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 248\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-13)*114\/228.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15683, -31375, -47067, -62759, -78451, -94143?\n\"Answer: -15692*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s - 10. Let h be z(-13). Let l = -121 - h. Let n be ((-21)\/(-9))\/(1\/(-3)). Is n > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68872 + 85955 = -1949*x + 55428 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 11*m**2 + 2. Let d be b(11). Let s be -1*(1\/(-3) - 0). What is the biggest value in s, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2308033 and 31\/247.\nAnswer: 43852627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 2 (c) 40 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 2*l. Let c be (11 - 9) + 0*(1 + 0). Suppose 0 = -c*x + l, 5*s + x = 16 + 11. Solve 3*k - s = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*q + 11, -3114*h + 3 = -3117*h + 3*q - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(228)*1*-3)\/sqrt(12) + 1 + 5 + sqrt(228)\/(sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18632810946937 minus -0.5?\nAnswer: 18632810946937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z + 4 = 0. Let i(v) = 3*v + 0*v**2 + 2*v**2 + v**2 - z - 4*v**2. Give i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 610, 863, 1096, 1303, 1478, 1615, 1708?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 320 = 256. Suppose 2*v = -3*v - 10, -m*x + 6 = -v. Suppose -5*s = 20, -2*s - 5 = -g + 7. Solve -9 = g*h - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88165 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.4758 kilograms in nanograms?\nAnswer: 369475800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77189 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1132, -2263, -3396, -4531, -5668, -6807?\n\"Answer: -z**2 - 1128*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -4225?\nAnswer: 88725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, 0, -0.1, 4\/7, 0.1, 5617 in decreasing order.\nAnswer: 5617, 4\/7, 0.1, 0, -0.1, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 9*v + 8. Let z be r(7). Let t = z - -8. What is the closest to 2 in 1\/4, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15448 = -145*h + 3703 for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(156) - (3*sqrt(156)*-2 + sqrt(156)))\/(sqrt(12) - sqrt(192)*-5))**2.\nAnswer: 4*sqrt(13)\/7 + 101\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21828476 = -5*g - 5*n + 9041659, 0 = -5*g + 3*n + 30870143. Let w be 8\/(-14) - g\/(-49). Round w to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9296.476us?\nAnswer: 9.296476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 52*k**2 - 344*k**2 + 2 - 16*k + 18*k - 2.\nAnswer: -396*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 5*a + 12. Let p be r(3). Is p greater than 21\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 1 = -36 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.61506 centuries in millennia?\nAnswer: 6.661506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 8 - 2. Let b = -4 + q. Let r be -8*((-75)\/b)\/(-5). Solve 2*y + 2*y - r = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and 0.276.\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) 0.029 (c) -3 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/45 - 7*a**3\/6 + 2*a. Let x(t) be the second derivative of n(t). Let d(p) = -p**2. What is d(x(q))?\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6148 is divided by 1226?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.0004 + 11. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t + 8\/3*t**3 - 6*t**2 + 7 + 1\/2*t**4 + 1\/30*t**5. Determine u so that r(u) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -11*m + 19*m. Find the third derivative of m*f**2 + 21*f**2 - 2 - f**2 + f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130592 by 8.\nAnswer: -16324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-20)*(-95)\/38\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2396528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/73 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*p - 28*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dshm when four letters picked without replacement from {m: 1, d: 1, y: 1, s: 2, h: 7, z: 5}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1\/660*v**6 + 0*v**4 + 0*v + 0*v**3 + 0*v**5 + 2\/1155*v**7 + 0 - 12*v**2. Factor n(w).\nAnswer: 2*w**3*(2*w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-25) + (-15844)\/(-20). Calculate the common denominator of (66\/368)\/((-9)\/42) and (1 + -220)*(-22)\/r.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**2*g**2*o - 4634933*c**2*g*o + 182*c*g**2*o - 3*c*g*o + 4*o - 8715 wrt c?\nAnswer: -28*g**2*o - 9269866*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -7, -4, -826, -2.\nAnswer: -826, -7, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n + 23*n = -32480. Let o be (0\/2)\/(0 - 2). Suppose o*a = 8*a - n. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b + 77 = 65*b. Let i be (1 - (-17)\/(-3))*-6. Let q = i - b. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u + 64. Let l(s) = -179*s - 11452. Let r be l(-64). Put r, 1, u in decreasing order.\nAnswer: r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001 - 11001010010010110101?\nAnswer: -11001010010000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**3 - 63*o**3 + 27*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = 9. Let h(f) = 13 - 6 - 21 + 12*f - f**2. Let p be h(v). Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530585439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1993486\nAnswer: -199348.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*((-130)\/(-78))\/((-6)\/120)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:10 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 496\/(-84) - (-6 + 0 - 0). Put 4, 158, 2, b in decreasing order.\nAnswer: 158, 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 + 2 = 0. Let o = 19 - -26. Suppose -9 = 4*g - o. Solve -7*s + x*s + 3*f = -10, -2*f - g = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3))\/4*3. Let u(d) = 5 - 2*d - 6 + 2*d + 30*d**2. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39450013 is divided by 3337.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k + 1. Let u(b) = -3*b**2 - 14*b - 8. Let d(h) = 4*s(h) - u(h). Let g be d(11). What is the tens digit of (g + 4\/6)*(-4 - -43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-64)*4\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12001556 (base 7) to base 4\nAnswer: -10002222032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56937987 divided by 5.\nAnswer: -56937987\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738262?\nAnswer: 2, 79, 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 43. Let n(m) = -36*m. Calculate n(z(h)).\nAnswer: -36*h + 1548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29784293 is divided by 81?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = 16. Let y = -841 + 839. Which is the nearest to -0.2? (a) y (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (3 - (-4 + 1)). Suppose -385 + 1519 = b*n. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 3, -3.2, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let j(y) = 14*y**2 - 16*y**2 + 3 - g. Let t(u) be the third derivative of -11*u**5\/60 + 11*u**2. Calculate t(j(x)).\nAnswer: -44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/14 and -57\/1310?\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let n(q) = -q + 4. Let l(u) = 3. Suppose 0*x + 3*x = -12. Let a(d) = x*l(d) + 3*n(d). Calculate a(f(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 16*s = 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343 - 30. Let y = p + 389. Solve g + 0 = -d + 5, 3*g - y = -4*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = 0, -2*g = -5*b - 0*g + 864. Let l = -210 + 269. What is the remainder when b is divided by l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, 22, 68, 136, 232, 362, 532?\n\"Answer: z**3 + 2*z**2 + 17*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121031.\nAnswer: 127, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*d - 1414, -13*f - 2*d - 2133 = -16*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1614 or -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15010.00019718 + -15010. Round o to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-12) - 9230\/(-60). Let a = 301 - d. Is 38 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -106, -146, -214, -316?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((-8 - -10) + -7 - (5 + -16))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 823309999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 + -233220?\nAnswer: -232203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-2 + (-14 - 5) + 18 - (0 - -4))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49 - (1 - -3) - 2. Let b = -22 + t. Calculate the remainder when 29 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/39 (b) 0.18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2374 - 2351. Let c(b) = b**3 - 21*b**2 - 44*b - 41. Calculate c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232044102 + -120?\nAnswer: -232044222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**5 - i**4 + 90*i**3 + 6*i**2 - 2727*i?\nAnswer: -240*i**2 - 24*i + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*s - 20. Solve 2*y = -s*y + 5*q - 5, 0 = -5*y - 5*q + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Does 3 divide 37\/4 + (-1)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854979 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 12*y - 13. What are the prime factors of b(-8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 0. What is the least common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 571788968*f*g - 10733969*g - 3 wrt f?\nAnswer: 571788968*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 105 = 6*o - 5*o, q = -5*o + 507. Is -13 - -5 - (-11 - o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -211, -488, -751, -994, -1211, -1396, -1543, -1646?\n\"Answer: u**3 + u**2 - 287*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + g + 1)*(0 - 1 - 1)*(10 + 9 + 2) as t*g + b and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20533.644ms in minutes?\nAnswer: 0.3422274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*d + 6*d + 2)*(-34*d + 32*d + 1 - 5).\nAnswer: -8*d**2 - 12*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-580)\/1160*((-8)\/(-39))\/(1\/3)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*c**5 - 449760*c**3 - 192310*c**2 - 2*c - 52.\nAnswer: 9000*c**2 - 2698560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2365 - 2414.74. Let b = -57.1 - a. What is b rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -22*b + 10. Let d(v) = -5*v**2 - v + 9. Let x(w) = 5*w**2 + 2*w - 8. Let k(a) = 4*d(a) + 5*x(a). Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -9, 81?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + (-228)\/18. Let d = v + 15. Determine c so that -5\/2*c**d - c + 3*c**3 + 0 + 19\/2*c**4 + 5*c**5 = 0.\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q + 2*q - q)*(-4*q**2 + 4*q**2 + 2*q**2) + 0*q**3 - 3*q**3 + 20*q**3 + 1 - 2*q**3 - 3*q**3 + 4*q**3)*(-5*q**2 - 6*q**2 + 6*q**2).\nAnswer: -90*q**5 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208) + sqrt(208))**2 - 1*sqrt(39)\/sqrt(3)) + sqrt(1053)*-3 + sqrt(1053) + sqrt(13) + 2.\nAnswer: -18*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*v = -28544 + 92840 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135 or 2306\/17?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16562838 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16296.021323 - 16296. Round g to 4 dps.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/28994 and -71\/854.\nAnswer: 1768634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2051755, 2051754, 2051753, 2051752?\nAnswer: 2051751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1542? (a) -4 (b) 1 (c) 40 (d) 81 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104114703 divided by -451\nAnswer: -230853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 67011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-2 - (8 + -4)). Suppose r - 21 = -9*f. Solve 5*q - f*p + 7*p - 5 = 0, 2 = 2*q + 5*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 880379489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(8*d**2 - 8*d**2 - 10*d**3) + d**3 - d**3 + 3*d**3 to the form w*d**2 + y*d**3 + z + f*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76778 - -114208. What are the prime factors of g?\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -v + 37, 5*v = -3*r - 901 + 932 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 51*m + 35 - 25*m - 25*m - 12. Let r(o) = o. What is s(r(a))?\nAnswer: a + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -3. Let m = u - 6. Which is the smallest value? (a) -0.5 (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -12, 0 = 3*b + 3*d - 60. Let q(o) = b*o - 18*o - 7*o - 7. Calculate q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 6*l**2 - 2*l**2 + l**3 + 8*l**2 - l. Let a be z(-2). Sort -1, a, 0.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4344542*i**2 + 3093441 wrt i?\nAnswer: -8689084*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42*77\/2695)\/(-2*2\/70)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 56*q - 1238 = 0. Calculate the remainder when q is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 1. Let i be p(-3). Suppose -i*a + 3 = -9*a. Suppose -2*d = -3*v + 81, -d = a*d. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j**4 + j + (-j**3 + 2*j**3 + 0*j**3)*(0*j - 2*j + 0*j) + j**4 - j**4 - j**4 + 5*j**4 - j**4 - 5*j**4.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1836*z - 7202. Let d be n(4). Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 + 2.06. Which is greater: 47 or t?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*6)**2 - (sqrt(13) - (2*sqrt(13) - sqrt(13)))**2*-5.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k**2. Let z(n) = 62*n - 31*n - 30*n. Give r(z(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.719 + -0.9. Round u to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 30, 64, 112, 174?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 12) to base 13\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 6320 = -28919. Let l = a - -924. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 3, y: 5, f: 2, a: 1, o: 3}. What is prob of picking 1 f, 1 t, 1 a, and 1 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55673 - -14?\nAnswer: 55707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*r**2 - 1 - 4 - 7 - 3*r**2 + 5 + (-1 + 1 - 2*r)*(0*r - 5*r + 6*r) + 2*r**2 - 3*r**2 + 2*r**2 to a*r**2 + k + t*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -4008869?\nAnswer: -4008869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2 - 2*x - 2) - 2*x + x - 2*x - 252*x + 56*x - 280*x.\nAnswer: -481*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 25 - (1 + 18 + -5) - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 288\/28 - (-4)\/(-14). Let h(y) = 8*y + 102. Let u be h(-14). Let v be (0 + 0)\/(u - (-5 + -7)). Solve v = -5*l + 15 + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -136 and -0.1?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/7)\/((-5697)\/(-3798))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogl when three letters picked without replacement from {o: 2, y: 3, l: 1, g: 1, e: 8, m: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = -2*p + 3*p, 0 = -5*y - 4*p - 16. Suppose -d + 2 = -y. What is the least common multiple of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 7*v - 1. Suppose -13 = 5*o + 12. Let q be h(o). Solve 6 - q = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 13. Let f be a(-9). Let b(k) = -1999*k**2 - 4*k. Let h be b(f). Let v be (0 + 1200)\/(12\/h). What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.554 less than -0.3?\nAnswer: -43.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83861 is divided by 2487.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145\/2 - -73. Is 1\/2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from bbbbxbxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + 0 + (3*(sqrt(13) - (sqrt(26)\/sqrt(2) - sqrt(13))) - sqrt(13))**2).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 4) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 2. What is f(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u**2 + 732974*u**3 - 1 + u + 3 + 171279*u**3 - 2*u**2. Let g be j(2). Suppose -3*a + 11965980 = -g. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) 996.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/21 - 4\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 - 110*p**3 - 49*p**2 - 891. Find the second derivative of i(s) wrt s.\nAnswer: 6*s - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.046.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 46*w**2 + 2 - 32*w**2 + 2*w**2.\nAnswer: -76*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -457873, -3, -4, -1.\nAnswer: -457873, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*y - 68, i - 7 - 12 = 2*y. Suppose 7*f = 4*f + i. Find the second derivative of 0*w**3 - 8*w + 0*w**3 + f*w + 7*w**4 wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4\/7, -15, -444, -28\/13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*33 + (5 - 4). Suppose -4*b - p = -n, 3*n + 3*b = n + 24. Solve 2*w - 4*g + n = 0, -3*w - 25 = 2*w - 5*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 32*v**2 + 16*v + 12. Calculate the remainder when u(-4) is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7254 = 1508*o + 2247*o - 23597 - 47492 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**5 - 735*a**4 - 170*a**2 - 6455181*a?\nAnswer: 160*a**3 - 8820*a**2 - 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146559567 - 146559566.27999969. Let v = 0.1 - -0.62. Let k = v - t. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*g + 2*x + 23 = 0, 13*g - 11*g = 11*g + 3*x + 39 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.392 rounded to 0 decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 - 2*m + 11*m**2 - 9*m**2 + (-2*m - m + m)*(0*m + 0*m + 2*m) to the form o*m + d + p*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/117 and -5\/182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/2 + 7\/(-14). Suppose 5*l = l + w. Solve 2*u + o = 5, -3*u = -2*o + 4 + l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 21*k**3\/2 - 145*k**2\/6 + 101*k\/6 - 19\/6 = 0.\nAnswer: 19\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -956c06?\nAnswer: 956c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65531251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 13}. Give prob of picking 2 k and 1 t.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-124)\/(-20) - 2\/10. What is the third biggest value in i, -3, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmkm when four letters picked without replacement from kemdmmkmepkm.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10023924277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 3000 and 3000 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v**2 + 109*v + 7. What is l(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/19 or 2\/5?\nAnswer: -105\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 7)*(245*d**3 - 5*d**5 - 245*d**3).\nAnswer: -35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -89, -173, -257, -341, -425?\n\"Answer: -84*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*p = -0*l - 17, -5*p + 5 = 3*l. Suppose 2*r - 65 + 5 = -l*c, -3*r + 15 = 0. Let b = c - 8. Calculate the greatest common factor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10596697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(3*r + 5*r + 0*r) + 4*r + 122 - 122)*(-2 + 2 + r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 231.6.\nAnswer: 238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 6883 + 6883.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34606a (base 13) to base 9\nAnswer: -2301775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let x(r) be the first derivative of 3*r**2 - 6*r - 20. Let b(v) = -4*v + 5. Let f(m) = 6*b(m) + 5*x(m). Calculate f(j(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) + -18 + 731\/34 + -25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-4)\/(-10)*(-80)\/(-32). Find the common denominator of u - ((-500)\/12)\/((-276)\/9) and -15\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3601 - 3598. Suppose -5*o + 3*o = -12. Find the second derivative of -o*h + 19*h + 5*h + 30*h**3 - 5*h**m wrt h.\nAnswer: 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -0.07328.\nAnswer: -1.24576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/8 - -3*(-1)\/3. Suppose 2*m - 4*q + 7*q - 148 = 0, 0 = 2*m - r*q - 116. What is the remainder when m is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30)\/(6\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-2)*(6 - 5). Suppose 3*b + z*x - 364 = x, 3*b - 380 = 4*x. Suppose 9*y - 4*y + q - 126 = 0, -5*y = -q - b. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.2 + -15.2. What is the biggest value in -0.08, u, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r + 139. Calculate v(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(3 - 0 - 9)*288?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 7*l**2 + 55*l + 9. Does 20 divide x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 112585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/6 + 4*c**3\/3 + 3*c**2\/2 - 40*c - 1. Determine k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*t + 2*i, -70468*i = -2*t - 70470*i + 36 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 + 4*d - 2. Let v be i(-6). Suppose 2*x - 296 = 82. Let t = -119 + x. Calculate the highest common factor of v and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817439 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86267692309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x + 12. Suppose -3*m - 9 = j, -2*j - 12 = 2*j + 4*m. What is the units digit of r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 10. Let i be b(-6). Find the first derivative of 1 + 1 + 1 - 2*j**i wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354260*j**2 - 6016448*j**2 - 3*j + 2 - 36525*j**2.\nAnswer: -6407233*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 9, 107, -2 in decreasing order.\nAnswer: 107, 9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 303*d + 268 = 72*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210 - 82. Let y = n - 303. Sort y, 0.5, 1\/3.\nAnswer: y, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g - 375 = 12*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 58*r**3 - 5*r**2 + 3*r + 16. Let i be m(-6). Round i to the nearest 100.\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -39*o**2 + 62 - 28\/3*o**3 + 0*o - 1\/4*o**4. What is the second derivative of y(l) wrt l?\nAnswer: -6*l - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + j = -3*n - 238, 2*n + 5*j - 136 = 0. Let f = 3453 + -3207. Calculate the remainder when f is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1250*y**2. Let l(m) be the first derivative of -4*m**2 - 3485. What is l(w(d))?\nAnswer: -10000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418a3 (base 15) in base 3?\nAnswer: 101120002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-46779)\/(-11067) - (-4)\/68)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l - 4. Let r be d(-2). List the prime factors of 430\/15 + r\/6.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -4*n**4\/3 + 112*n**3\/3 - 7326*n**2 - 13800*n. Differentiate q(g) with respect to g.\nAnswer: -32*g + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - 54. Let h = -240.0000161 - m. What is h rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 11 - 6*p**2 + 4*p + 0*p**2 - 3*p**2. Let n be i(-10). What is the tens digit of n + 2 + -1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*f - 5*r, -4*f + 5*r = -5*f - 3. Let a = f + 19. Solve 0 = 4*w - 11 - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 45 = -20*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 22313100022113?\nAnswer: -22313100022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a - 4. Does 14 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 17 - 15)*(-43708 + 43708 + 240*c) in the form g*c + z and give g.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 6603297\/2 and 3301650 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 46. Let s = -35 - j. Are -0.21 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472923597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 712992 + 138784. Let f = 851780.49967 - k. Let t = -4.5 + f. Round t to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12033003023 + 322?\nAnswer: -12033002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:16 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10*c - 24 = 0. Let z be -2 - -4*3\/c. Suppose 4*b - 42 = j - 4*j, 5*j + 10 = z. What is the remainder when 23 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -5, -1, -405 in ascending order.\nAnswer: -405, -99, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:51 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341 + -12?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*((sqrt(165)*4)\/sqrt(3))\/(sqrt(11)*1*6) + 5.\nAnswer: 5 + 40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 269?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -132.7. Let x = 6.7 + g. Which is the closest to x? (a) -2\/11 (b) 2.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -3\/4 (c) 1\/394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/17, 14, -0.027, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4831*z**2 - 43 + 6 + 4832*z**2 - 18.\nAnswer: z**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -309 - -113017?\nAnswer: 112b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/61, 1, -4, -22, 0, -5, 165 in increasing order.\nAnswer: -22, -5, -4, 0, 10\/61, 1, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/12 - 14*p**2 + 1. Calculate u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144923 divided by -381641.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*v - 2, 0 = 3*y - 0*v + 3*v - 3. Suppose 2*n - 7*n + 40 = y. Calculate the least common multiple of ((-10)\/(-3))\/(8\/24) and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17664, 7, -5, 4, 1 in decreasing order.\nAnswer: 7, 4, 1, 0, -5, -17664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, n: 12, t: 3, o: 2}. Give prob of picking 1 h and 1 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 12) in base 13?\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**3 - 3*m**2 + 4*m - 3. Let g be a(1). Let w be 2\/7 + g\/(-84). Solve -2*i + 3*j + 9 = w, 2*j + 15 = -2*i - 3*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22003 and -668.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/168 - 5*c**4\/24 - 2*c**3\/3 - 3*c. Let t(d) be the second derivative of a(d). Differentiate t(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0396 - 2.4516. Let l = b - -2.3. What is l rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 + 12 = 0, -y + 852 = 3*h. Let u = -518 + y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3\/5 + 618063*h**2\/5 - 6378486453*h + 1213785581985 = 0.\nAnswer: 191, 102915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3328451 and 3856.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 484\/3 - 160. Factor -r*y**2 + y + 1\/3.\nAnswer: -(y - 1)*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*t - 11480998 - 6096645. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 111 - 3156*g - 201 to n + u*g and give u.\nAnswer: -3156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Let d = -17 + j. Let q = d + 17.4. Put -1, q, 0 in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/24 + 2*s**2. Let z(b) be the first derivative of -2*b**2 + 3. Give z(q(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*m - 477 + 496, 3*o + 65 = 10*m. Let a be -4 + 0\/(1\/(-1)). Let x = a + 20. Sort -2, x, o, -3 in decreasing order.\nAnswer: x, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.94 + -30.3. Which is bigger: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41722044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:01 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1248050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 517*h - 9 = -519*h + 110 - 11, 2*h = -11*m + 128 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -g. What is the common denominator of -146*((-22)\/(-24) - g) and -87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 6*v + 5. Let g(p) = p**2 - p + 1. Determine -4*g(s) + u(s).\nAnswer: -s**2 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from {r: 7, o: 1, b: 5}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*h - 87. Let r(a) = -a**3 + 6*a**2 + 54*a + 9. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9455, 38860, 88225, 157556, 246859, 356140?\nAnswer: 485405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3*z**5\/5 - z**4\/3 + 4*z**3\/3 - 6*z - 6. Let j(d) be the first derivative of h(d). Factor j(u).\nAnswer: -4*u*(u + 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284\/185 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseieisei. Give prob of sequence se.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10101011000111010101 (base 2) to base 6\nAnswer: 23004501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - w**4 + 3*w**4 - 3*w + 4*w**3 - 2*w**3 + 2 to the form x*w**2 + h + s*w**3 + t*w + m*w**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3710 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*x**2 + 167*x**2 - 649*x**2 + 170*x**2 + 180*x**2 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-8.28.\nAnswer: 0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506000 and 2312420.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10448*x - 1. Let v(a) = -3*a - 229. Determine v(f(n)).\nAnswer: -31344*n - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g*z**3 + 17*g - 12*z**6 - 4*z**2 wrt z?\nAnswer: 72*g - 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1086 and 98778.\nAnswer: 17878818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63588362 and 5298.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6345?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 - 2*u**2 - u. Let p be s(-1). Let m be 2\/(3 - 7\/p). Suppose m*y = -t + 58, 167 = 3*t + t - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25595 - -27235. Is a equal to 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 7*p - 1 - 15*p - 3*p**2 - 2*p**4 to z*p**3 + y + k*p**4 + w*p + f*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.6 - -68.5. Let p = w + -36. Let o = 12 + p. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 48*x**2 + 4*x + 26. Let z(d) = 7*d**2 + d + 4. Let u(i) = -3*k(i) + 20*z(i). Let m(p) = -p**2 + p. Let o = -1 - -2. What is o*u(r) - 5*m(r)?\nAnswer: r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -190 - 20?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/617156 and 83\/1020.\nAnswer: 157374780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - a**2 + a**2)*(-3 + 1 + 3)*(2*a**2 - 1 + 1) to p*a**2 + h*a**4 + x + m*a + l*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623249737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a586 (base 14) in base 10?\nAnswer: -1449930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, 0, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -439 or -413?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 121990 in descending order.\nAnswer: 121990, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 - 106. Let n = 23 - 31. Does 20 divide l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/54*-3). Let f be (-156)\/(-15) + (-30)\/75. Suppose -22 = -f*c + 58. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -609, -3, 25, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 77*r + 77*r + 5 as d*r**2 + u*r + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.635 - -0.135. Sort -4, u, -0.1 in increasing order.\nAnswer: -4, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -42, -46?\n\"Answer: -4*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6167594086 and 82.\nAnswer: 6167594168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/17 or 383475?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 62.2. Let o = -19 - c. What is the nearest to o in 2\/13, 4, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 2 + -10 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 13503672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 9, -14\/9, -4\/291, -1, 1?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 107, 294, 599, 1046, 1659, 2462, 3479?\n\"Answer: 4*a**3 + 23*a**2 - 4*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -137002 * -0.1974\nAnswer: 27044.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2, 0, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60841.\nAnswer: 11, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 11*b = 682. Let d(k) = k**3 + k + 110. Suppose -4*w = 3*a - 15, 3*w - a + 9 = 4. Let g be d(w). Calculate the greatest common factor of b and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (212388\/130)\/((-344)\/10). Let x = 4\/559 - a. Let c = 6074\/915 - 43\/61. What is the common denominator of c and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -23*m - 43*m - 1026 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = 6. Let d = -26035 - -26075. Solve d*r - 42*r = i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25057979 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**2 + 0*h**5 + 0 - 5*h + 7\/15*h**6 - 7\/12*h**4 + 0*h**3. What is the third derivative of q(u) wrt u?\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115941719?\nAnswer: 1693, 68483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + 453*d - 5940 = 75*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10704 + 10*t**3 + 10706 - 8*t - 35*t**3 to the form w + j*t + l*t**2 + y*t**3 and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*v + 264, -r + 5*v + 36 = -7. Factor 24*u**2 - r*u**2 + 17*u**2 + 18*u**2 - 64 - 32*u.\nAnswer: -4*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156725 = 4*t - 5*o, 3*t + 120*o - 117535 = 122*o. Calculate the highest common divisor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9770 less than -9769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 19 = 107. What is the least common multiple of k and 58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 10 = 5*p, -92 = -106*p - 145*p + 234*p - 4*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12575 is divided by 1257.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piqqvlvqqvqlxii. What is prob of sequence llp?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3768*q + 11115 = 3573*q for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let m = -0.1 + 0.4. Let i = 188.9 - 189. Which is the nearest to z? (a) i (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16394356 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 0.292, -10\/11, 0.2?\nAnswer: 0.292","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*k + 0*k = -159, n - 119 = 5*k. Let g = 152 - n. What is the remainder when 62 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 - f**2 - f**2 - 2*f**2 + 2*f**2 + (-f + 0 + 0)*(-3*f - f + 5*f) + 2*f - 2*f - 2*f**2)*(-3 - 4*f**2 + 3).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 9*p - 2, p + p - 10*s + 16 = -27*s + 22*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5015, -5767, -6519?\n\"Answer: -752*t - 4263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3304 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5521.\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.95, -0.0495, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2)\/(2\/3). Let k(o) = -o + 4. Let f(y) = -3. Let c(p) = z*k(p) + 5*f(p). Let r be c(-6). Solve 0*m - r = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 653003247957440 + -653003293566460.9999953. Let w = j + 45609002. Let y = w - -19. What is y rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**7\/35 + 121*q**6\/30 - q**5\/5 + q**4\/6 - 4*q**3\/3 - q**2 - 10*q - 33. What is the third derivative of m(a) wrt a?\nAnswer: 144*a + 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 253836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 22 - -43) + 9 + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187)\/(-44) - (2 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 323, 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrruurrruererurrre. What is prob of sequence eurr?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -32*x**2 + x. What is y(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let a(m) be the third derivative of -17\/8*m**4 + 20*m**2 + 0*m**3 + 0*m + 2. What is a(j(b))?\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -12, -1, 11 in decreasing order.\nAnswer: 11, 9, 5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1, 0 in descending order.\nAnswer: 1, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25657 + 0?\nAnswer: 25657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*h**3*k + 197*h**3*t**2 + 11*h**3*t - 2*h*k*t + 3*k*t**3 - 2*t**5 wrt t.\nAnswer: 394*h**3 + 18*k*t - 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - w = -4*w + 353, 5*w = -5*o + 435. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 0*a**2 + 4*a**2 + (-24*a**2 + 20*a - 20*a)*(0 + 0 - 2).\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-528))\/(36\/3564)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948792 divided by 4?\nAnswer: -987198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 + 32 - 28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -0.3 (b) 4\/51 (c) 12 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 9. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 142. What is the highest common factor of k and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 17*z in the form v + i*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.36673 * -0.5.\nAnswer: 1.183365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)\/h)**(2\/3)*h**(3\/5)\/h**(-29))**19 assuming h is positive.\nAnswer: h**(6346\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-12)*p*p**5)\/((p*p**(1\/3))\/p)**13 assuming p is positive.\nAnswer: p**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 4 + 6*q**2 - q**2 - 2*q - 2*q**2. Let k = 0 - -2. Let n be u(k). Which is smaller: n or 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(1\/4)*n)\/n**(-11))\/(n**(1\/5)*n**(-1\/19)))**(-47))**19 assuming n is positive.\nAnswer: n**(-216153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 408320946 a multiple of 4026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 936628 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 402 (b) 3\/26 (c) -3\/449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(397936\/(-224))\/(-187)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + -0.48. Suppose -73*o = 358 + 7. Which is the fourth biggest value? (a) -2 (b) o (c) -1\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 936\/(-7722)*(-30)\/(-8)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 - 5554304*s**3 - 14592470*s wrt s?\nAnswer: 12*s**2 - 33325824*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = 39*z - 786 - 930 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*i - 35 = 0, 3*i - 2*i = -5. Suppose 0 = w*s - 3*f + 19, -4*s - 4*f = -3 - 1. What is the common denominator of (3 + s)\/4 - -11 and -73\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m - 52 = 0. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 122 = -3*n, -n = -2. Let q = -28 - v. Let j be 1*(30 - 1\/(q\/(-2))). Is j < 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9313 and 0.0771.\nAnswer: 9313.0771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 125*l**2 - 9. Let c be b(-3). Let m = -7808\/15 + 3179\/6. Calculate the common denominator of 1*2\/6*c\/30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-6))\/((-27727)\/3262).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((sqrt(112) + 0 - sqrt(112))**2 + -6*(sqrt(112) - sqrt(28)))*-5.\nAnswer: 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*j - 4, 5*m - 14 = 3*j - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11778489925 rounded to the nearest one million?\nAnswer: -11778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(-60) + 4\/(-10). Is w smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13) + -1 - sqrt(13))*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g + 4. Let f = 6 - 0. Let k be o(f). Solve -k*r = 4*n - 36, -4*n - 2*r + 11 = -3*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 4. What is the common denominator of 45\/(-2) + q\/(-1) and -27\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-3\/31)))**10*(n\/((((n*n**32)\/n)\/n)\/n))**(1\/16) assuming n is positive.\nAnswer: n**(-419\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19967, 19978, 20003, 20048, 20119, 20222, 20363, 20548?\n\"Answer: b**3 + b**2 + b + 19964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*x + 120, x + 2*x = r - 72. Let l = -21 - x. Suppose -6*t + 4 = -194. What is the highest common factor of l and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 65218530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 + 223*n**2 + 2*n - 827162 wrt n?\nAnswer: -3*n**2 + 446*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 11*i + 1. Let p be b(7). Let f = 293 - p. Calculate the remainder when f is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22700 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7387, 6875, 6027, 4843, 3323?\n\"Answer: -168*t**2 - 8*t + 7563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/12 + 13*y**3\/3 + 75*y**2\/2 - 584*y - 5. Give o(28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, 56, 5 in descending order.\nAnswer: 56, 5, 4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 41 = o. Suppose -o = -4*m + s - 0*s, -4*s = m + 11. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -15 - 70) + 13 - (13 - (1 + 1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdnvddd. What is prob of picking 1 v and 2 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 1150*x - 11402. Determine c(1140).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366249499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 + q**3 + 42 + 42 - 382 + 41 + 48.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290240.\nAnswer: 2, 5, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 0. Let s be 3 + (-1 - b) + -6. Is s != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 19*r = -12. Suppose r*u - 9*u + 1000 = 0. Is 50 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 + 3*i**2 - 4*i + 9. Is k(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85063214 + -20.02\nAnswer: -85063234.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 25 = -5*u, -3 = -2*u - 3*v + 20. Suppose -4*q - u = -24. Solve -q*c + 2*z - 20 = 0, 10*z - 23 = -c + 5*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1059517484 rounded to six dps?\nAnswer: -0.105952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -113563713 divided by 3\nAnswer: -37854571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -714\/5 (b) -135.2 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77278935.\nAnswer: 3, 5, 5151929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1 (c) 170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*f = 34, 0 = 2*f - 7 - 1. Calculate the remainder when 639 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1649.091276 + -1649. Round v to three decimal places.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by -3.\nAnswer: -440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319241197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 4*g)*(-3*g**3 - 2*g**3 + g**3) + (0 - 2 + 1 - g**2)*(-1718*g**2 - 19 + 862*g**2 + 864*g**2).\nAnswer: -20*g**4 + 11*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**4 + s**3 + s. Let i(v) = 9*v**4 + 5*v**3 - 3*v**2 + 6*v. Suppose -7*o + 16 = -3*o. Suppose -o*u + 9 = -11. Let k(p) = u*c(p) - i(p). Factor k(a).\nAnswer: -a*(a + 1)*(2*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9804b + 4?\nAnswer: 98051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - a)*(-4*a - 2*a + 2*a)*(2 - 1 - 2 + (0 - 3 + 4)*(7 - 3 - 2))*(19*a - a - 5*a) to the form p*a**3 + w*a**2 + o + u*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/12 + 5*n**3\/6 + 3*n**2\/2 + 4*n. Suppose -j + 25 = 4*j. Determine v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19*d**2 - 3394*d - 18518. What is n(-173)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**2 + 38*k + 831. What is the thousands digit of o(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -38, -1, -2, 1, -3 in ascending order.\nAnswer: -88, -38, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - q + 615 = -2*q, 5*d + 1534 = q. Is (1*d)\/(18 - 19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 95 = -109. Let f(q) = -5*q + 137*q**2 + 8*q - 134*q**i - 4. Determine f(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 5*q**2 - 651958*q**4 + 651965*q**4 - 4*q**2 + 2 - 2*q as g + x*q**3 + w*q**2 + i*q + m*q**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5 + 5 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, 2, -3, -2 in decreasing order.\nAnswer: 2, -2, -3, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.791 - 0.069. Let n = 0.8 + g. What is n rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02881 - -0.16006. Round j to three decimal places.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 30*t**2 + 69*t - 50. What is the tens digit of x(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 4)*((-6563)\/2)\/1. Let n = h + 4156. Let m = -1656 - n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 12 = 11*i, 3*x + i - 14 = 0. Let u(f) be the third derivative of 0 - 1\/90*f**4 - 1\/150*f**5 + 0*f**3 - 1\/900*f**x + 0*f - 7*f**2. Factor u(h).\nAnswer: -2*h*(h + 1)*(h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*q + 157, 2*d + 3*q = -0*q + 155. Suppose -d*s = -80*s + 32. Let b(h) = h**3 - 10*h**2 + 16*h - 10. What is b(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1501478996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 6. Let z be p(6). What is the common denominator of (-4)\/2 + 19\/z and -46\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*i*r*y**5 + 123*i*y**3 - 134*i*y**2 + r*y**2 - 3*r - y**2 - 1 wrt y.\nAnswer: -3300*i*r*y**2 + 738*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23301208 a multiple of 1247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d + 6. Let o(x) = -2*x**2 + 9*x - 12. Let v(r) = -6*o(r) - 13*s(r). Let m be v(10). Solve -3*q + 6 = 0, 3*y + m*q + 2 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:52 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 8*j + 3. Let w(f) = -3*f**2 - f - 2. Let p(l) = r(l) - 2*w(l). Let q(z) = -8*z + 0*z + z + 8 + 4*z**2. Calculate 7*p(k) - 6*q(k).\nAnswer: -3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 26 + 41. Which is the closest to u? (a) 0.5 (b) -1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose -4*n = -i - 94, -n = 3*i - 4 - 13. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 3*w + 9 = -48*j, j - 3*w = -4*j - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u - 4. Let v(w) = 4 + 0*w - 4*w - 5*w - 9. What is 6*g(j) - 5*v(j)?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3*i**5\/70 - 55*i**4\/42 + 16*i**3\/3 - 16*i - 1. Factor k(r).\nAnswer: 2*r*(r - 16)*(3*r - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1*0\/(-9). Suppose k = 3*z + z - 12. Determine i so that -i**2 + 8*i**5 - 9*i**5 - z*i**4 - 5*i**3 + 2*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = -r, 8 + 0 = u - 2*r. Let f be 32 - (u - (0 - 1)). Suppose 0 = -f*w + 28*w + 5495. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzhd when four letters picked without replacement from {n: 1, h: 1, z: 1, y: 1, x: 1, d: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence togp when four letters picked without replacement from opgt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put -72, 55\/3, -6 in increasing order.\nAnswer: -72, -6, 55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 22*c + 18. Let i(k) = k + 9. Let o be i(6). Does 17 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + 0) + 2.\nAnswer: -5*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f = 5, z + 26*f - 11 = 24*f. Let u(v) = -26*v + 16. Calculate u(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**4 + 168*m**2 - 85*m**2 - 2*m**3 - 82*m**2 - m**4 as o*m**2 + v*m**4 + j*m**3 + w*m + l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - d**4 - 4*d**4 + (-597 + 597 - 27*d)*(-4*d - d**3 + 4*d).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*a = 10, 0*a = -2*j - 3*a + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 67*q**2 - 367*q - 1414. Give v(-72).\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7288976936 + 6192.\nAnswer: -7288970744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-13 + -2 - -8) + -28).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14. Let k(r) = 985*r - 41. Give 2*k(x) + 6*p(x).\nAnswer: 1970*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000121689 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 74\/3 (b) -7\/5 (c) 1\/3 (d) -2 (e) -0.4 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184517, -184516, -184515, -184514?\nAnswer: -184513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/15 + 4*k**4\/3 - 74*k**3\/15 + 128*k**2\/15 - 104*k\/15 + 32\/15 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -11, -35, -79, -149, -251, -391?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/42 + 2\/(-7). Suppose -5*h + 3*j - 66499991 = 0, -27087257 = m*h - j - 487260. What is h rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*u - 13 + 1, -p - u = -32. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {e: 3, z: 10, d: 3, k: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 111*m**4 - 5*m + 52*m**4 + 31 + 6*m wrt m?\nAnswer: 1956*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 8) to base 14\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16089684 by 236613.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 < 19509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + (2 + 0 - 3)*(-1 + 0 + 2) + 4 - 4 - 4)*(4 - 4 - 2*p) + (2 + 11 + 4)*(-p + 4*p - p).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -368.47 + 6.47. Let t = -361.502 - u. Let g = 0.002 + t. What is the third biggest value in g, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3187*n**3\/3 + 1230*n**2 - 2*n + 1690. Find the second derivative of y(i) wrt i.\nAnswer: -6374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 1, 2, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = m - 2*m + 11, -n - 3 = -m. Let r(b) = b**3 - 3*b**2 - 3*b - 6. Let x be r(m). Suppose 3*y - 7*y = -108. Is x bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*l**2*s**3*y**2 - 2*l**2*s**2*y**2 - 3*l**2*s*y**2 + 2*l**2*s*y wrt s.\nAnswer: 354*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3615274020?\nAnswer: 2, 3, 5, 19, 43, 73751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -62617*(-4)\/(-40)*-10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -49*q**6\/120 + q**5\/60 + 191*q**3\/6 - q**2 + 488. Differentiate i(f) wrt f.\nAnswer: -147*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19624061 is divided by 2452994?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13789 - -26152. Suppose -h = -57*g + 39222. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 518, 1032, 1538, 2036, 2526?\n\"Answer: -4*p**2 + 526*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 111*d**2 + 55*d - 2978. Let c(w) = 9*w - 1. Let t(b) = 6*c(b) - l(b). Find the first derivative of t(v) wrt v.\nAnswer: -222*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*k - 5*n, -3 + 2 = -k - 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 465141, 465140, 465137, 465132, 465125, 465116?\n\"Answer: -z**2 + 2*z + 465140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*q - 2*d + 220, 254 = 5*q + 2*d. Let c = q - 32. Solve 5*z = z - c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/20 + q**4\/2 + 23*q**3\/6 - q**2. Let r(z) = 5*z**2 - 18*z - 35. Let k(n) = 8*c(n) + 5*r(n). Factor k(u).\nAnswer: (u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 144 = -2*o + q, -3*q = 3*o - 108. What is the remainder when o is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a factor of 1644672784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -624.33 + 624. Which is the third smallest value? (a) j (b) -1 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h. Let f(d) = -d. Let l(x) = -3*f(x) - i(x). Let j(z) = 4*z**2. Determine l(j(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 3*h = -3*s + 12, 0 = h - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3460 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -42, -37, -32, -27?\n\"Answer: 5*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12269, 2, -3 in increasing order.\nAnswer: -12269, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 1. Let r be g(1). Let n(h) = -h**2 + 7*h - 7. Let f be n(r). Let j be (-2)\/f + 88\/6. What is the greatest common factor of 21 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092203 times 3?\nAnswer: 3276609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2, 10*l + 13 = -5*x + 8*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376095841?\nAnswer: 11, 677, 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 9*x + 2. Let b be z(-9). Solve -2*l + 0*l + 14 = 4*y, 2*y - 4 = -b*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -705 + 704.921. Let y = h + -93.621. Round y to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -86*l - 23. Let k(d) = -6. Let h(b) = -4*k(b) + n(b). Let m = 2 + -4. What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011010100 (base 2) in base 3?\nAnswer: -12220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-5) - (1 + -2). Suppose -2 - 4 = -b*s. Suppose s*q = -26 + 76. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*y**3 - 378*y**3 + 760*y**3 - 254*y**4 - 57*y**4 + 5*y in the form v*y + q*y**2 + s + i*y**3 + m*y**4 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39981118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 + 465 = -19*l + 42 - 142 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/3)\/(2\/6). Let n(z) = -z**2 - 8*z + 1. Let x be n(a). Let g be (-16)\/(-2) - (-4 + x). Solve -19 = u + u + 5*d, -3*d - g = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1214 + -22?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) + 93\/33. What is the biggest value in l, -1\/4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 13*h + 14. Let c be b(12). Find the third derivative of -23*s**5 - 21*s**5 + 41*s**5 - 4*s**c wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -22*y - 182. Determine n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-6)\/(-90)*6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -436*p**3 + p**2 - 55*p - 56. What is the hundreds digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.693097 to 2 dps.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 5*w**2 - 3*w + 2. Let u = 41 - 20. Suppose 2*d - 5*p = -d + 21, 3*d - p - u = 0. What is the remainder when x(-3) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(931) - (-1 + sqrt(931)))*-2 - (-4 + sqrt(931)*-1 - sqrt(931))) + 0 + -5)**2*-1.\nAnswer: -84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let n(v) = -920*v**2. Calculate l(n(u)).\nAnswer: -1840*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*a = -931 - 718 + 335 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-51) - (24650\/(-4335))\/145.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 1247.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 389741.\nAnswer: -4\/389741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let m(n) be the first derivative of n**2 - 43. Give m(a(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*t + 25 = -9*t, -3*o + 4*t = -20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-75) - (-2)\/8. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:12 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:31 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 862 - 358 - 111.\nAnswer: a - 1331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -24*a - 5. Let n(r) = -16*r - 3. Let y(m) = -5*g(m) + 8*n(m). Let l be y(-2). What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365.341597 less than -7?\nAnswer: 358.341597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 2. Suppose -10 = 3*r + 4*c, 0*r + 5*c = 5*r + 5. Let l be -15*(0 - r\/6). Let s(k) = k + 3. Give l*o(q) + 4*s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, -4*y + 5 = -8*x + 9*x. Sort -4, y, 3, -17 in increasing order.\nAnswer: -17, -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*(-3 + q + 3)*(7 + 2 + 0).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-63) - 1488\/(-378). Which is greater: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 6051*d**2 + 865830*d.\nAnswer: 3*d*(d - 1862)*(d - 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/38380136 or 0?\nAnswer: -3\/38380136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -121\/2. Let r(k) be the first derivative of -3\/4*k**2 + i*k**3 + 3 - 3\/2*k + 3\/8*k**4. Suppose r(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -25*v**2. Let g be z(1). Let w = -16 - g. Let p be (-4)\/(-6) + 3\/w. Put 0, p, -3 in increasing order.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3540, -6737, -9906, -13029, -16088, -19065?\nAnswer: -21942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29414 + -15381. List the prime factors of f.\nAnswer: 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928 by -232.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -29*n**2. Let r(j) = -1247*j**2. Determine -2*r(c) + 87*v(c).\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d - 42 + 57. Solve -26 + d = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + 31670\/(-5208). Let f = 1\/434 - z. Find the common denominator of 55\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8181574 divided by -2?\nAnswer: -4090787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -103423, -102980, -102537?\n\"Answer: 443*m - 103866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 6*p + 1. Suppose 25*r = 20*r - 100. Let u = r + 14. Let n be h(u). What is the closest to n in 4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16634764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57609041, 57609039, 57609037?\nAnswer: 57609035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16660\/(-153))\/(-35))\/((-30)\/(-135))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6192\/48*((-2300)\/276 - (-7 + -1))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5)\/((-2)\/(-1 + 2)). Let o be (v\/2)\/((-33)\/(-154)) + -2. Which is the closest to -1? (a) 3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2 + (-96)\/(-40))\/(20\/225). Solve r - 12 = -h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a36 - -95?\nAnswer: 1b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from cyyqqyyycaayqaayy.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)\/t*t\/(t*(t*t*t\/t**8*t)\/t))\/(t**(-2))**(-12) assuming t is positive.\nAnswer: t**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -310 + 7*p**2 + 69 + 2*p**2 - 410 + 132 to the form d + g*p**2 + q*p and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8628 + 8627. Which is the third smallest value? (a) 61 (b) -8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/6, 12, -2\/3, -1.4, -0.1 in descending order.\nAnswer: 12, -0.1, -1\/6, -2\/3, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*405\/108*(1 - 0). Solve x*j + 572 = 452 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/45 + i**5\/15 - i**4\/18 - 14*i. Determine v so that w(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18588 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: Calculate -35 + 43 + 30 + -6 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 6*k - 3810 = -k. List the prime factors of k.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12489 and 23892.\nAnswer: 549516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9122 - 9114 = -x - 18238, 0 = -p - 3*x + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 29023.6?\nAnswer: -29023.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-5)\/1050*(18 - 6 - -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 73 (c) -0.0527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-33012)\/(-1310)*(40\/24)\/1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -46, -36, 5, -29, -5, -3.\nAnswer: -46, -36, -29, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111100110111 - -11010?\nAnswer: 100110111101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -192, -1 in increasing order.\nAnswer: -192, -109, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291 and 33.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 3955825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 28. Let z be 0*(-4)\/16 + -2 + a. Solve -5*t + n - 11 = -35, 3*t - 2*n = z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7350 divide 5725841100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 511996.2 years?\nAnswer: 6143954.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.4559345087 less than 87?\nAnswer: -18.4559345087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -34. Suppose 4*g - 7*g = -s. Is 13 a factor of 662\/18 + g\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/30)\/(3\/(-154)). Find the third derivative of 6*x**2 - 6*x - 18*x + j*x**3 - 9*x**2 - 3*x wrt x.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/9 - (-360)\/(-1620)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-9))\/5)\/((-2)\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + 3*t**2 - 4*t + 5. Give v(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3817672 divided by -17.\nAnswer: -3817672\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84370, 168728, 253086, 337444, 421802, 506160?\n\"Answer: 84358*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4566503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 9. Suppose -15 = -3*g + 60. Suppose -7*p + 2*p + g = 0. Solve -5*n + 7 - 36 = -3*c, a*n + 27 = p*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88413, 11.1, -1\/6?\nAnswer: 88413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -0.07 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 5*l - 3*l)*((-2 - l + 2)*(7*l**2 - 24*l**2 + 5*l**2) + l**3 - 3*l**3 + 3*l**3).\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -17*w + 21*w - 77624, 3*s + 97004 = 5*w. Is 373 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404822*g**3*i**2 + 4*g + 54876*i**2 wrt g.\nAnswer: 2428932*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - b - 8, 5*d + 5 - 3 = -4*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5316318 to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(4))\/sqrt(2))\/(sqrt(112) + -3*sqrt(112) + sqrt(112)) - ((1 + sqrt(300))*-3 + -3*sqrt(300) + 5)**2.\nAnswer: -10804 + 959*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -111.7. Let w = 27 + z. Let r = -5.1 - w. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 33634.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 16) to base 11.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7 - 13*s + 51*s - 11*s - 11*s - 13*s. Determine o(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)*s**(-3))\/(((s\/(s\/s**(5\/6)))\/s)\/(s\/s**(-1))))\/(s**2*s**(-1))**(-10) assuming s is positive.\nAnswer: s**(373\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1409316931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 16695.5 and -1424895505.\nAnswer: -1424878809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542 - (2 - (-6 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkknkk. Give prob of picking 1 n and 1 k.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131d (base 14) to base 11\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n, -4840 = -u + 4*n. Suppose 43*f + u = 39*f. Let r = 4771 - f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 4*f**2 + 18*f + 17. What is t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from lgi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -458784?\nAnswer: -458782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:22 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, a: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 530, 1061, 1592, 2123, 2654, 3185?\n\"Answer: 531*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*v**2 - 9*j*v + 2415*j - 9*v**2 - 2*v - 2 wrt v?\nAnswer: 2*j*v - 9*j - 18*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244640*g**4 + 2*g**2 + 8058*g - 5 wrt g?\nAnswer: -5871360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 404*s**2 - 9764*s - 10164 = 0 for s.\nAnswer: -121, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/15516 and 7\/144.\nAnswer: 62064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 179.308. Let a = j + 0.008. What is the third smallest value in 88, 4\/3, a, -3\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 - 1 = x, 3*x + 5*z = 13. Let a = x + -1. Solve -4*n - 4 = -a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 665133715?\nAnswer: 665133721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(45) + sqrt(5))*-1)\/((sqrt(18) + (2*sqrt(126))\/sqrt(7))\/sqrt(2)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 = -6. Let b = 3 + g. What is the least common multiple of (385\/(-14))\/((-5)\/4) and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 234*t**2 + 277*t. Let f(i) = -234*i**2 - 278*i. Let b(h) = 3*f(h) + 4*o(h). Find the second derivative of b(v) wrt v.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/56 + 117\/21. Suppose 0 = r*u - u - 128. Let k = 27 - u. Let o(z) = -z**3 - 5*z**2 - 2*z + 6. Calculate o(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 15*o - 11. Let u be i(6). Suppose u*b - 1176 = -b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (141*4\/192)\/(-1)*-2 and -139\/102.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 21393*n**2 - 4 - 4 - 10198*n**2 - 11*n + 9.\nAnswer: -31591*n**2 - 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95718, 95721, 95724, 95727, 95730?\nAnswer: 95733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 707 - 197. Let l be (4\/w)\/((-6)\/15). Let u = 4.1 - -0.9. Which is the closest to l? (a) -0.3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 164*t**3 + 491*t**2 - 137*t - 431. What is f(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 z, and 1 m when four letters picked without replacement from emzmmzeleem?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/9))**21)**(-2\/25) assuming c is positive.\nAnswer: c**(56\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 14*v**2 - 11*v. Let o be b(-10). Let l be o\/18 + (-2)\/(-6)*2. Suppose -4*r + 902 + 142 = 0. What is the greatest common divisor of r and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**3 - 34*c**2 - 12*c + 46. List the prime factors of t(19).\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 211.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -184. Let n be (2\/3)\/((-9)\/(l\/(-6))). Is 2\/7 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7638 and 9086940?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Suppose q - 5*k - 88 = y, q - 88 = 3*k - 0*k. Let f(a) = -a. Let o be f(-8). Calculate the highest common factor of q and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*k**3 + 38*k**2 - k**3 - 7*k**2 + 2 in the form h*k**2 + a + p*k + n*k**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/151 (b) 88972 (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -347 (b) -25 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592550 is divided by 9871.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 1. Let r(c) = 3*c - 1. Let g be r(-1). Let q be a(g). Let d = 2299 + -2278. What is the greatest common factor of d and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049848 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.96 - -0.04. What is the nearest to 1 in 0.4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197b32 (base 14) in base 6?\nAnswer: 31221412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c + 4*l - 2 = 0, -4*c + 32 = -2*l for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83985 = 2911*c - 2856*c. Calculate the remainder when c is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 + 185. Suppose 0 = -6*p + 3*p + 6, 2*x = -i*p + 8. Calculate the smallest common multiple of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - -8) + (-3 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760549812 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39861843.9 less than -254?\nAnswer: -39862097.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3095\/1151340)\/(2\/(-24))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27312\/1861 at least -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 108 = 18*f. Let y(q) = q**2 - 13*q + 16. Let c be y(f). Suppose -9 = 3*g, 0*g + 12 = -t - 4*g. Put c, t, 5 in descending order.\nAnswer: 5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821327 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from otootottto.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + 2 - -3 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 4. Let a(d) = d**2 + 20*d + 2. Let g be a(w). Suppose g*z = p - 12, -4*p + 3*p + z = -11. Calculate the least common multiple of p and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6))\/b)\/b)\/(b*b*b\/b**(-9))*b**(-9)\/(b\/(b\/b**(-3))) assuming b is positive.\nAnswer: b**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*k**4 + 19449*k**3 - 196*k**2 + 189*k wrt k.\nAnswer: 1488*k + 116694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from uruqnuurmumuugu?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/(45\/360) + 0\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56870406647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*k + 6709 = -1501 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d**(-8))\/(d**7*d*d*d**(-2\/19)) assuming d is positive.\nAnswer: d**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 30 = -5*m, 5*a + 18 + 9 = m. Let v be (114\/(-14))\/((-20)\/70). Let x = -28 + v. What is the closest to x in a, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21289 by 4.\nAnswer: 21289\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*d - 5*d = 402, d = 5*w - 498. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*v - 1 + (5*v + 2*v - 4*v)*(1 + 1 + 0) + 0*v + 0*v + v + 9*v - 882 + 882 in the form m + j*v and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*f. Suppose c = -2*i + 9, -f*i + 7 + 22 = 5*c. Let q be (11 + -5)*(-40)\/(-48). Solve -3*j = -3*g + 6, -2*j - c*g + 5 = -q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1664008 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5+113189024464.33\nAnswer: 113189024469.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/13 - 6796*o**2\/13 + 592110*o\/13.\nAnswer: -2*o*(o - 85)*(o + 3483)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4590 and 67\/40.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -996*i - 61. Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 1 in decreasing order.\nAnswer: 3, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155.697 + -0.303. Let s = d - -156.1. Put -0.5, s, 0.15 in increasing order.\nAnswer: -0.5, s, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f - 24. Let x(m) = -f*m + 3 + 6 + 2. Let y(b) = -2*b + 4. Let a(p) = -3*x(p) + 8*y(p). Find the first derivative of a(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/6 - 2*k**2 - 4*k. Let u be x(9). Let f = -0.18 - -0.68. Which is the second smallest value? (a) f (b) -4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2174 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 2\/17, -88, 1\/2, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1}. What is prob of sequence vt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i + 5. Give l(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (35720\/1786)\/(0 - -10). Factor -4\/3*b + 0 + 2*b**u.\nAnswer: 2*b*(3*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 32*p**3 + 34*p**3 + 4*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + f = 22610 - 7305, 2*f - 15310 = 4*z. Is -3825 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 4*n = -123, i - 19 = -5*n + 3*n. Calculate the remainder when 287 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/840 + 3*y**5\/70 - 5*y**4\/56 - 17*y**3\/21 - 365*y**2. Solve k(t) = 0.\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 296*t - 9352. Let w be s(32). Calculate the greatest common divisor of 27660 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1691 + 4 + (-2 - -4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643720*z**2 + 1 + 1 - 2.\nAnswer: 643720*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832) + (-3*sqrt(832) - sqrt(832)) + -1)**2.\nAnswer: -96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2605973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/12 - x**3\/6 - x**2\/2 + 2*x. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 84 + 92 - 36 + 91 - 231.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*p - 10. Let r(j) = 9*j**3 + 127*j**2 + 667*j + 1117. Let g(o) = 6*o**3 + 85*o**2 + 445*o + 745. Let x(l) = p*r(l) + 8*g(l). Factor x(z).\nAnswer: 3*(z + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 80 = 5*m, 817*k - 70 = -5*m + 818*k for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-14 - -11) - (5 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o**3*p*y - 32328*o**3*p + 2*o**3 + 49046007*o**2*p*y - 2*y wrt o.\nAnswer: -84*p*y - 193968*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003468321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 4 - 4)*(-i + 3*i + 0*i) - 92*i**2 + 7701 - 7701)*(-i - i + 0*i).\nAnswer: 192*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (38577\/(-1287) + 30)\/(-2 - 26\/(-12))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2430 and 90.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3024 and 2876496?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 + sqrt(112) + sqrt(7))*5.\nAnswer: -5 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d. Suppose -4*u = -4*o - 0*u + 4, 5*u = 4*o. Calculate f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 889 divide 12891812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 26665, 0.5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371255 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 15 = -z, -4*z = t. Which is the second smallest value? (a) -2\/15 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/15 + -2 - 864\/(-240). Suppose 0 = 2*s - 0*s. Let j(k) = k**3 + 4. Let u be j(s). Solve f*t + t - u = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 31 + (1 - 13) + -17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:26 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(5 + sqrt(176) + sqrt(176) + sqrt(11) + 2))**2.\nAnswer: 126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Let y be 1\/(1 - 0 - -4). Which is the smallest value? (a) -1\/4 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dobodooddoddooodd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o + 48 - 80. Solve -2*n + 4*p = o*p + 14, -5 = -5*n - 3*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140640*m + 7032\/11*m**3 - 35200 - 8\/11*m**4 - 1541762\/11*m**2 = 0 for m.\nAnswer: -1\/2, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*((-13400)\/3570 + (-260)\/(-70))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -93. Solve -w*x + 9 = 2*u, -2*u - 5*x = -7*u + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - u - 5 = 3*u, -3*q + 17 = -4*u. Suppose -q*f = -23 + 5. Suppose -f = -2*o - 0*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/17)\/(b**10\/b))\/(b**(-3\/2))**(-13\/6) assuming b is positive.\nAnswer: b**(-825\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.59117 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68da7cd + 3?\nAnswer: -68da7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-15)))\/b*b*b)\/b**6 assuming b is positive.\nAnswer: b**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 11. Let f be ((-36)\/(-21))\/((-2)\/(-7)). Suppose 6*z + 6*z - f*z = 0. Calculate b(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219246857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50795 is divided by 1384.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5944, 6468, 6990, 7516, 8052, 8604, 9178, 9780?\n\"Answer: o**3 - 7*o**2 + 538*o + 5412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*g - s - 8, 0 = -4*s. Suppose 5*w = -t + 65, 4*w - 4*t - 20 = 8. Solve g*y = -y + w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.29 + -53.2604. Let r = -30 - x. What is r rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269500 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + v - 17. Calculate n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 8 - 11, -2*x + 5*r + 7 = 0. What is the remainder when x is divided by (-1)\/(-1)*(17 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 13. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o - 5. Let v be (-6)\/(-5)*(6 - 7\/2). Let a(z) = -z**3 + 2*z**2 + 5*z - 7. Let h be a(v). Determine l(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 12 = 0, r + 56 = -5*o - 0*r + 29 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)\/q*(q\/(q*(q*q**(-11\/3))\/q))\/q*q\/(q\/(q**(2\/25)*q)*q)*q*(q**(-5\/3)\/q)\/q)**(-41) assuming q is positive.\nAnswer: q**(123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 269, 137, -49, -289, -583, -931?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62363?\nAnswer: 7, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -132821?\nAnswer: -132821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7295*k - 824288. What is x(113)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -401772?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {a: 10, d: 3, s: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*p = 38630 + 24644 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/7 (b) 5 (c) 3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 426, 628, 826?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 1. Let g(w) = -7*w**2 - 28*w + 28. Let x = 1033 - 1005. Determine x*d(a) + g(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m + 3. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010000011111010 + -1?\nAnswer: -111010000011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-596)\/136 + 3\/(-2). What is the nearest to 0.1 in -1\/3, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 1. Let i(j) = 3*j**2 - 7*j - 16. Let d(c) = -4*a(c) - i(c). Let u be d(-6). Is ((-146)\/u + -3)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98169244997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 5. Let f(w) = -213*w + 4266. Let i be f(20). Which is the closest to -0.1? (a) t (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9481298 is divided by 282?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/3 + 59\/6. Which is smaller: 35 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.224 + -0.157. Let u = 0.0812 + y. Let o = 0.3 + u. Round o to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 5*q + 9. Let v be w(6). Let b be 45\/(-23) - (-4 + v)*2. Does 1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2 (c) -0.6 (d) 10 (e) 16282\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 6. Let d(s) = -17*s + 18. Let z(f) = 4*d(f) + 14*i(f). What is z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/99 and 19\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-154))\/((-2)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*u - 3*f**3 - 14*f**2*u - 64*u + 1 wrt f.\nAnswer: 3*f**2*u - 9*f**2 - 28*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10495708 and 2114.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*((-1696)\/(-3) + 6). Suppose -7*a + b = -6122. What are the prime factors of a?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 137025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 18*b**2 - 17*b - 7. Determine o(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 3*c**2\/2 - 3*c - 21. Let q(l) = l + 1. Determine 2*q(x) - s(x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000131287881 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g + 2. Let a be (-6)\/9*(-3)\/(-2). Let o be y(a). Suppose -2*p + 124 = 2*q, 0*q - 4*q - p + 242 = o. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 480*b - 38368. Calculate h(378).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521.92 - -521.895421. What is v rounded to 4 decimal places?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 22. Let u be l(4). Let c(r) = -11*r**2 - r**2 + u*r**2 + 17*r. Let h(m) = 2*m. What is c(h(o))?\nAnswer: -8*o**2 + 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 62 + (1 - 2) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -355493*l**3 + 3*l**2 - 820281*l wrt l.\nAnswer: -2132958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(2\/7)*w)\/w*w*w*w)**(-26) assuming w is positive.\nAnswer: w**(-780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Let m(l) = 2*l**2 + 14*l + 9. Let r(t) = m(t) - 3*q(t). Is r(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -14. Let y = i + 5. Suppose 0*b + 24 = y*b. What is the highest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {f: 1, d: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*-4*2*sqrt(180) + (sqrt(180) + sqrt(180)*-3)*-1 + 1)**2.\nAnswer: 624*sqrt(5) + 243362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.5 + 26. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wrccxcwxrllrcrwl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 14*k**2 + 12*k + 27. Let u(o) = -o**2 - o - 1. Let c(p) = -s(p) - 3*u(p). List the prime factors of c(-8).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = f. Let h be (-3 + -5 + (-285)\/(-35))\/(28\/(-49)). What is the closest to 0.6 in 2, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-15) - (-8)\/(-20). Suppose -4*q + q + 2*p = -6, -5*p - 2 = -q. What is the units digit of q\/(w\/1) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-4) - (-1 - 11). Let b = 16 - q. Suppose -3*g + 3 = 2*g + 2*w, 4*g - 2*w = b. Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 128 = 8*t. What is the highest common divisor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 12. Let v be h(0). What is the least common multiple of 6 and v\/6 + 13 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 222?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, m: 3}. Give prob of sequence llll.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -1)\/(-8 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 551*q**8\/56 - 1519*q**4\/8 + 36*q**2 + 10*q. Find the second derivative of g(v) wrt v.\nAnswer: 66120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 + 1233 = 3*f. What is the remainder when f is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.4 (c) 9\/7 (d) 482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9680 times 33?\nAnswer: -319440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-4))\/(21\/(-12516))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 + n. Let b be v(-2). Let t(g) = -g**3 - g - 1. Let y be t(b). Suppose -4*u - 15 = -y*u + 5*l, -4*l = 4*u - 36. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313547 - 3176?\nAnswer: 310351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752*x - 614*x = 11523552. What are the prime factors of x?\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, v: 7}. Give prob of sequence uvvu.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/13)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 9*c + 3. Let a(j) = j**2 - 8*j + 3. Let r(f) = 3*a(f) - 2*d(f). Let l be r(14). List the prime factors of l\/9 + 14\/63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:05 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -124420?\nAnswer: -124455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/8)*w*w**(2\/3))\/(w*w**(-1\/8)*w*w*w*(w\/(w*w\/((w*w**(-5\/2)\/w)\/w)))\/w))**(-7\/2) assuming w is positive.\nAnswer: w**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/2 + 150\/(-60). Let b(v) = -v**3 - 3*v**2 + 4*v + 3. Let d be b(-4). Suppose d + 48 = x*y. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007279 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1976995723 to the nearest integer?\nAnswer: 44463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**3\/3 + 11*c**2\/2 + 243*c - 6682. Let k(n) = -n**2. Calculate v(k(g)).\nAnswer: -g**4 - 11*g**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119491441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132314311 (base 5) to base 16.\nAnswer: -a2ccf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 57. Let z be m(11). Solve 0 = u + 3*b + 11 - z, -3*b - 15 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/210)\/(42\/(-42)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 + 3. Let k be m(6). Suppose 2*c + 11 = -5*o, -5*c = -o - 4*o - 60. Solve c = k*r + 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 11:58 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -11*j - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + 60\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167688314*i**3*x**2 - 14*i**3*x - 10*i**3 + 2062*i**2*x + 2*i*x - 4 wrt x?\nAnswer: 335376628*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40709 - 591?\nAnswer: -4119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 7. Let t be g(-5). Let i be (0 + (-5)\/10)*14. Let p be 1*0\/(-4 - i). Solve r + t*r - 8 = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947 divided by 114?\nAnswer: 649\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121, -148, -177, -208?\n\"Answer: -j**2 - 24*j - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*p - 7, -4*k - p + 6*p - 1 = 0. Let d = 111 - 78. Let z(g) = -105*g + 5*g**3 + 32*g - 2*g**2 + 41*g + d*g. Give z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69029171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1856 and 0.07248.\nAnswer: 134.52288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5376\/(-72))\/8*1*3\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 7476*y + 55890576.\nAnswer: (y + 14952)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -128. Let d = -19 - -21. Suppose 0 = -d*i + 2 - 4, 0 = -y - 2*i + a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 34*y - 44 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -10 + 5 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35524544 - 233?\nAnswer: -35525221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**3\/3 - 5*j**2\/2 + 4*j + 1. Let c be f(3). Let w = -5 + c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l + 3. Let y = 21 + -19. Let v be p(y). What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/21 - 314*u**2 + 164160*u\/7 - 9302248\/21.\nAnswer: 2*(u - 3221)*(u - 38)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.8996\nAnswer: 0.08996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 7754455962.51?\nAnswer: -7754455963.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-22)\/(-6))\/((-7)\/(-105)). Is j - 1\/(2\/8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3348*f - 180. Let m be a(-15). What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 divided by -2?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-384)\/(-3840)*15\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + 2*y = 14, -i + y - 3 = 0. What is the second derivative of -5*u**2 + 4*u**2 + 2*u + 3*u**i wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26397893, -52795790, -79193673, -105591536, -131989373, -158387178, -184784945, -211182668?\n\"Answer: v**3 + v**2 - 26397907*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*g - 4 = 0, 103*v + 2*g - 13 = 100*v. Solve -b - 14 = 3*m, -2*m + 6 - 19 = -v*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354445281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8633, -16796, -24969, -33158, -41369?\nAnswer: -49608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34406594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 - z + 3. Let v(r) = -8*r**3 - r + 4. Determine -6*g(j) + 7*v(j).\nAnswer: -2*j**3 - j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18352106807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 54. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -67189*x**3 + 5*x**2 + 2*x + 8. Let h = 37 - 42. Let n = h + 9. Let g be a(n). What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 2379279.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2097802*o**6 + 7075670*o**2?\nAnswer: -251736240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115283977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35144429 or 281155429\/8?\nAnswer: 35144429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4165 - 106?\nAnswer: -4273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.18371755\nAnswer: 0.03674351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/100 and -137\/509670.\nAnswer: 5096700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9945 + 44580. What are the prime factors of n?\nAnswer: 3, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*b + 791568 = -69*b. Calculate the smallest common multiple of b and 5.\nAnswer: 57360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (0 - -4)) + -43 + 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1540\/79 or 20?\nAnswer: 1540\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*k**2 - 126*k**2 - 361*k**2.\nAnswer: -609*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 107*u\/2 + 280.\nAnswer: -(u - 112)*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -22413?\nAnswer: 22406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6) - (11249\/(-21) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -698, 0, 2, -1, 1 in ascending order.\nAnswer: -698, -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 3302954.\nAnswer: -29\/1651477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 77*a + 71. What is s(-19)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 59, 3.2, -78 in increasing order.\nAnswer: -78, -0.13, 3.2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose 6 = j*n - 57. Calculate the remainder when 62 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124371249\/26 or 4783511?\nAnswer: 124371249\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426329 + 852671 - 426342 - 66*n.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 592, 673, 828, 1081?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*g**2 - 97*g**2 + g**3 + 15*g**4 + 1 - g**3 to the form o*g**4 + r + a*g**2 + h*g + t*g**3 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017204 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/5 - 60764*n\/5 + 12152 = 0. Calculate n.\nAnswer: 1, 15190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 18482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y - 23. Give h(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 + 7*k - 41. Let y be l(-11). Let q(h) = 6*h**2 + 4*h + 2. Let g be q(-1). Solve 15 = n + g*z, 3 = y*n + z - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 119*s**2 + 6 - 8*s**2.\nAnswer: -127*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7755*m. Let a(p) = 9*p**2. Determine a(r(k)).\nAnswer: 541260225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/3*(40\/(-30) + 1). Sort -1\/2, 2, k, 12.2 in descending order.\nAnswer: 12.2, k, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1500) + (sqrt(1500) - -1*sqrt(1500)) + sqrt(1500)))\/((-2*sqrt(3888))\/sqrt(4)).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and 6 - 3922\/(-555)*35\/(-32).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0235628 kilograms in milligrams?\nAnswer: 23562.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-81)\/(-486)). Let d = 24 + -15. Let l = -57 - -80. Solve -n*p + 2*z + 18 = 0, -2*p - 4*z + l = -d*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -40, -50, -76, -124, -200?\n\"Answer: -u**3 + u**2 + 4*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*x - 4*x + 17 = 0, -4*c = -2*x - 36. Suppose 5*s - 5*w - 5 = 0, c = 2*s - 5*w + 2*w. Let f be 4 + s + 1\/3. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v - u + 380, 0 = -4*u - 16. What is the highest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) -2\/11 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 54*h + 2. Suppose -4 - 7 = -11*g. Let j be r(g). Which is smaller: 57 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 4, 46, 2\/9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-75)\/6) - 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56346 and 1887591.\nAnswer: 3775182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.8 (b) 1 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjffjfcjffcz. What is prob of picking 3 j and 1 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 2. Let m(b) = 1. Calculate -10*m(j) - q(j).\nAnswer: -2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2104*k - 169792 = 1209*k - 2137*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.48 or -13?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -148, -283, -472, -715, -1012?\n\"Answer: -27*p**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.301 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*r + 5*m, -3*m - 2 = r + 8. Let y be (3 + r)*(0 + -261). Suppose -3*a + 1191 = y. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -61 + 4*h**2 + 30 - h + 34 + h**3. What is v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 7 - (-4 + 5). Let d(k) be the second derivative of -k**2\/2 - 3*k. Let r(i) = 3*i - 3. Give c*r(a) + 3*d(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1228336169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 - -297. Calculate the remainder when 54 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -488*z**2 + 805*z.\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 14*h**2 + 16. Let y be u(-14). Calculate the greatest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwzwwzzz. What is prob of picking 2 z and 2 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*l**3 + 1831*l**3 - 916*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.4 (c) -484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4718, 3, -1, -601 in decreasing order.\nAnswer: 4718, 3, -1, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34469.\nAnswer: 34469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2151759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:08 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -788 or -1\/3?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 24. Let o = 2 + 6. What is the highest common divisor of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 709 + 709. Solve c = -0*o + 4*o, o = z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0*j**5 - 1\/4*j**4 + 4*j + 0 - 1\/42*j**7 + 0*j**3 + 0*j**6 + 0*j**2. Find the third derivative of c(b) wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -76. What is the third derivative of 15*x**2 + 13 - 35*x**d - 13 - x**4 wrt x?\nAnswer: -864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 219*j**2 - 12*j - 13. Let v(q) = 2*q**3 + 221*q**2 - 11*q - 14. Let p(w) = -3*a(w) + 2*v(w). Find the second derivative of p(o) wrt o.\nAnswer: 6*o - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (317\/(-14))\/((-1)\/(-37)). Let c = 837 + n. Calculate the common denominator of 39\/14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -975*t - 2884. Determine r(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:46 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (-13 + -10 + (7 - (-64 - 1)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/12 + 25*n**3\/6 - 9*n**2. Let b be k(-11). What is the units digit of 2*(b + -1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 868 and 1364.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:31 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 135511*u**2\/2 + 18375150281*u\/4 - 403728777958.\nAnswer: (u - 135467)**2*(u - 88)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 26*p**4 - 98*p**3 - 158*p**2 - 116*p - 32 = 0. What is p?\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/4)\/(-18))\/((-3)\/(-9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*i - 96*i + 10 + 21 as u + s*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-8 - -13) + (-3 - 0). Let r(j) = -2*j**2 + 3*j**2 - 3 - 2*j - 2 - x. Is r(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(1900)) + 0.\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18bc0 (base 14) in base 7?\nAnswer: -350530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7509425)\/(-56) - (35\/40)\/(-7). Suppose 46*s = g - 15371. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1101 divide 278008005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 526624.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7717761 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 200835 in decreasing order.\nAnswer: 200835, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -6*f + 2058. Let g = f - -34. List the prime factors of g.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.349657 * -11.\nAnswer: 3.846227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*((-2*b + 2 - 2)*(1 - 6 - 3) + 0*b + 2*b - 3*b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbacbccbba. What is prob of picking 1 a and 2 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66785 divided by 2?\nAnswer: 66785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 24. Calculate the lowest common multiple of 7 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134103099.\nAnswer: 3, 13, 617, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -155311*m - 1397796. Give d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 1161*x - 1168*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150.20705 - 150.3. Round k to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - k + 5 + 0)*((-2*k + 1 - 1)*(k + 3*k - 3*k) + 9*k**2 + k**2 + k**2).\nAnswer: -9*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -370 + 262?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936908 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i + 7*i - i + 17*i as c*i + o and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584 + 1126 - 599 = -71*o - 1013 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, s: 5}. Give prob of sequence sf.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 19*i**2 + 64*i + 57. What is s(-9)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -55 + 32. Calculate the remainder when 247 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5194 divided by 2597.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20908000 rounded to the nearest 100000?\nAnswer: 20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 588656 + 2?\nAnswer: 588658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 245*p - 274. Let d be l(60). Suppose -61 = -5*c + w, -3*c - 2*c - 4*w + 81 = 0. Calculate the greatest common factor of d and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 2.928.\nAnswer: 1.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/244128420 or 1?\nAnswer: -1\/244128420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20 - -344)\/((-2)\/(-1)). Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 0*b. Suppose -3*t + 2*t - 1 = b. Which is bigger: -13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -951, -1896, -2833, -3762?\nAnswer: -4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5643513045 - 1?\nAnswer: 5643513044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14\/9 (b) 5 (c) -2\/15 (d) -0.5 (e) -2.86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 2 = -33*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199684401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, e: 6, j: 5, s: 1}. Give prob of picking 1 i and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Let s be 1 - (-3 + 3 - 2). Let j = z + s. Let d(p) = 3*p**2 + 6*p. Let h(k) = -3*k**2 - 5*k. What is j*d(t) + 6*h(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 1. Let i(q) = -3*q - 5 - 17*q + 11 - 3*q. What is -6*i(t) - 34*p(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(-44)*-1*(0 - 2). Which is the second smallest value? (a) z (b) -89 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 18*t - 14. Let m be 384\/72*9\/44. Which is greater: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 - 2*f**2 - 2*f**2)*(3*f**2 + 2*f**2 - 3*f**2)*(-5 - 4 - 3) to the form d + s*f + w*f**2 + g*f**3 + n*f**4 and give n.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -7*z - 8, -5*z = -w + 48. Calculate the greatest common divisor of 3556 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1016 - 1112 = 0. Suppose -5*z = w - j, -11*z - 16 = -3*w - 12*z. Solve w*f - 24 = -8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 1:20 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -2\/101, 0.05, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1345, 1430, 1579, 1798, 2093?\n\"Answer: x**3 + 26*x**2 + 1318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*r + 3 = -1, 3*b = -3*r + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -94141 and -2730125\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7*a - 5 + 9)*(1520*a**2 - 805*a**2 + 476*a**2).\nAnswer: 8337*a**3 - 2382*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 2318. Let n(i) = -2*i**2. What is h(n(d))?\nAnswer: -4*d**2 - 2318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 988\/297 + -37\/11. Let a(c) = -c**2 - 13*c - 12. Let n be a(-12). Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2305 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*o + 192*o = 395*o - 882 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1 + s + 3*s**2 + 3*s + 0*s - 2*s. Let p be (6\/9)\/(1\/(-3)). Let i(u) = -7*u**2 - 4*u - 3. What is p*i(j) - 5*w(j)?\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2013 and 20679.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 96 + 173. What is the remainder when 306 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/24*(-3744)\/1944.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -772722765 and 0.3.\nAnswer: -772722764.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 38*y - 1. Let i be f(-19). Let l be (i - -1)\/(0 + 1). Sort 5, 3, l.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/7 (c) 712 (d) 0.023 (e) 5.2 (f) -2 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.738 and 0.40774814.\nAnswer: 1.14574814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2220005632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v + 6. Let u(i) = -i + 1. Let l(m) = j(m) - 6*u(m). Let n(f) = 2*f. Determine l(n(p)).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350 - 90 - s - 135 - 125.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p + 193*p = 6024256. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 46 - 3*l - 2*l**3 - 2*l**2 + l**3 - 2*l**3 + 4*l to the form a*l + y*l**3 + n + g*l**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132233578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -16. Let q(t) = 3 - d*t - 1 + t**2 - 2*t. Suppose -26 = -4*p - 5*v, 0 = -2*v + 5 - 1. Calculate q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + 61.8. Let a = -65.5 + k. Let u be (-16)\/(-3 + 1) - 0. What is the second biggest value in a, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 - -281. Calculate the smallest common multiple of q and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + 1 + 5 + -2. Suppose -5*g + 10 = 3*d, -d + 2*d - 3*g = v. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5840719kg to grams.\nAnswer: 584.0719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/((-1)\/(-9)). Suppose -47*x + 60*x = 78. Do d and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98493\/16 - -6158. What is the common denominator of 25\/16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -558.\nAnswer: 1\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 - 4*l - 23. What is z(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2068546 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - 246. What is the nearest to f in -0.02, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -12 - (-153 + 164)) + (-1 - -6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8 take away 0.09888?\nAnswer: -10.89888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*s + 4*d + 32, 2*s - 18 = 3*d. Let c(p) = 215 - s*p**2 - 215. Let a(k) = 4*k**2. Determine c(a(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 19*d**2 + 11*d + 15. Let j be t(7). Suppose j = 3*v + m, 2*m + 350 = 2*v - 340. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -3, 8, 21, 36, 53, 72?\n\"Answer: s**2 + 6*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.01. Let p be 2\/(-3) + 34\/60. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - -22 - (-27 - -28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/187*10\/30?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -i - 3*c, 7*c = -5*i + 3*c + 228. Suppose -4*n - 2*k + 58 = 0, -n + 5*n = 4*k + 40. What is the remainder when i is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. What is the nearest to 1\/4 in -4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15760080, -31520162, -47280244, -63040326, -78800408, -94560490?\n\"Answer: -15760082*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6483896*l - 6483897*l - 2147 + 2151.\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1880 - -5?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -229.6 - -0.87824\nAnswer: -228.72176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 880\/17*i**2 + 2\/17*i**3 + 96800\/17*i + 0 = 0.\nAnswer: -220, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j + 7. List the prime factors of a(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 + 2*b**2 + 2*b. Let i = 2033 - 2048. Let j(z) = 11*z**3 - 5*z**2 - 5*z. Determine i*w(o) - 6*j(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*t + t - 3*t - 6*t.\nAnswer: -11*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 5*c**3 - c - 208*c**2 - 3*c - 3.\nAnswer: -5*c**3 - 208*c**2 - 4*c - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 3, m: 9, q: 4}. Give prob of sequence mqdc.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 8702 + 8702.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijgxixgngi. What is prob of sequence jx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.05 (b) 1\/3 (c) -21 (d) 5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 67?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 - -173. Suppose -p*y + 2*h + 303 = -697, 1000 = 4*y + 5*h. Is y a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let f = u + 5. Find the third derivative of 0*v**6 + 3*v**2 - 2*v**6 - 8*v**f wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*q**3 - 348*q**3 + 96*q**2 + 358*q**3 wrt q?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuauuuuuuuu. What is prob of picking 3 u?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 4*u + 2. Determine f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (13 - 0) + (-371 - -357).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 16835 by 185.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 585508 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 48 = -a, -7*t - a + 391 - 163 = 294 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.872 (b) 5 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + h)*(-31 + 10*h + 31)*(-2*h + 5*h + 20*h).\nAnswer: 230*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -f - j, 0*f + 5*f + 4*j = 48. What is the greatest common divisor of f and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k - 282. Let i be b(-35). Is (i - -3) + 1 + (-38935)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*x + 12. Suppose x*s = -3*h - 20, 2 = 3*s - 5*s. Let w(z) = 4*z**2 - 3*z**2 + 5*z - 5 + 0*z**2. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(65)\/sqrt(5))**2*2 - ((2 + sqrt(1872))**2 + -2)) + 2.\nAnswer: -1850 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let c(p) = 21*p**2 + 3. What is m(c(j))?\nAnswer: 42*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149206372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a. Suppose 808*g - 798*g - 30 = 0. Solve 0 = 5*s - g*q, -2*s + s + 3*q = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 32*t = 15. What is the derivative of -28*j**t - 13 - 86 + 72*j - 70*j wrt j?\nAnswer: -84*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-370 + 407)*(1 - (-12)\/(-30))\nAnswer: 111\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 1. Calculate the remainder when 37 is divided by 11 + x + (-10)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 - u - 1. Let v(b) = 2*b**3 - b**2 + 5*b + 7. Let a(l) = 3*h(l) + v(l). Give a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**3 - 56*y - 3 + 95*y + 3 - 49*y as f*y**2 + q + b*y + v*y**3 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21967050 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaqapqpqcaaqaaaaac. Give prob of picking 1 c and 1 q.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u**(1\/4)*(u\/u**(-1\/2)*u*u)**(-45))**(2\/21) assuming u is positive.\nAnswer: u**(-613\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1) + (-4 - -3). Suppose i - l*i = 31. Let a = -21 - i. Calculate the remainder when 19 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3.9935. What is c rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3*h)*(-3 - 1 - 6) in the form n + a*h and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -80 (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 634514140?\nAnswer: 634514137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + 12*s. What is w(-6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -58*h**2. Let r(f) = 3*f**2. Give r(w(u)).\nAnswer: 10092*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 + 111. Let u = -45 - z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/60 + 7*f**4\/24 - f**3\/2 + 11*f**2. Calculate p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:42 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 446, -1718, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 6*r**2 + r + 5. Let f = -15 - -10. What are the prime factors of h(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1598 + 2306. Let c = 1040 - p. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 966991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189\/4 + -1339\/28. Suppose 0 = 2*r - 1 - 5. Which is the second biggest value? (a) f (b) r (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(2 + 1 - 5)*(139*j**3 + 2*j + 2595*j**2 - 2595*j**2) in the form c*j + m*j**2 + o*j**3 + q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 355 = 3*a, -i + 178 = 4*a - 2. Calculate the greatest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/14*9\/(-15))\/(15\/(-45))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 minus -0.100765722?\nAnswer: 0.103765722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 7*t - 2. Let a be n(4). Let g = a + -7. Solve 4*w - g = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42756699, -42756680, -42756661, -42756642?\n\"Answer: 19*o - 42756718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602593825 divided by -31.\nAnswer: -51696575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -0.1, 22, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -145*v - 6. Let x(u) = u**2. Calculate x(o(d)).\nAnswer: 21025*d**2 + 1740*d + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/((-2)\/3). Let t be 18\/(-27)*(1 + -13). Let g be ((-90)\/t)\/z*-3200. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 12*x**4 - 176*x**3 + 244*x**2 + 224*x - 208 = 0.\nAnswer: -1, 2\/3, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -131, -271, -411, -545, -667, -771, -851?\n\"Answer: u**3 - 6*u**2 - 129*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2 + sqrt(3) + -1))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1381.6 or -8245?\nAnswer: -1381.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*g = -3, -51 = 1022*h - 1025*h + 2*g for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/89806 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 8. Let l = -1204 + 1200. Is 2 + 142 + h\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (8 - 2 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 3*x**4 - 4*x**4 + (-2 + 2 - x**2)*(0*x + 0*x - 2*x**2) + 0 + 2*x + x**4 + 34 - 23.\nAnswer: 2*x**4 + 2*x + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:54 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/10 - 11*z**2\/10 - 7*z\/5 + 12\/5.\nAnswer: (z - 12)*(z - 1)*(z + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 2129, 4797, 8527, 13319?\nAnswer: 19173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6349365*a**6 + 2*a**4 + 420*a**2 + 900?\nAnswer: -761923800*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - (-7)\/((-28)\/(-48)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.5 or 464619?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6121362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*q + 3 = -0*l, l + 4*q + 11 = 0. Suppose 0 = l*k + 173 - 13. Let t = 38 - k. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 - 40 + 17*d - 44 in the form l*d + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1) - (2 - 0). Let t(b) = 3*b + b + 3*b**2 - 4*b**u - 2. What is the least common multiple of t(3) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -81ab6?\nAnswer: -81aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 4 + sqrt(17))*-1 - 5*(-1 + sqrt(17)).\nAnswer: -7*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let h(f) = -25*f - 19. Let z be (-22)\/(-4) - 12\/24. Let m(l) = z*b(l) + h(l). What is the derivative of m(j) wrt j?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179155\/13 + 13781. Put 1, d, -12, -69, -0.5 in increasing order.\nAnswer: -69, -12, -0.5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2 - 15\/10). Let h(y) be the third derivative of c*y + 0*y**4 + 1\/2*y**3 + 2*y**2 + 1\/60*y**5 + 0. Differentiate h(l) with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -9 in ascending order.\nAnswer: -9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20639747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2135060 - 2135060 - 128*t**2.\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267.2 - -268. Which is the smallest value? (a) -3 (b) -2\/5 (c) 0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1661, -1036, 1 in ascending order.\nAnswer: -1036, 0.2, 1, 1661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106174*r + 24 = 106176*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 33. What are the prime factors of 89\/b - 45\/30?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:39 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -468867\/547768 - -1\/5267. Let g = n - -16\/13. Let l = -11 + 7. What is the second smallest value in g, 2, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83616 + 79?\nAnswer: -83537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1, 24, -5, 47.1, 5 in descending order.\nAnswer: 47.1, 24, 5, -3\/8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-8*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12480)\/910)\/16 + (-248)\/(-322).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 36*s + 2 - 91*s + 34*s + 29*s. Let u(o) = 32*o + 9. Determine 18*q(c) - 4*u(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/3, -88, -154, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 + 22 = 2*g, 0 = 3*g + 5*o - 27. Suppose p = g - 2. Suppose 14 + 0 = p*r + 2*c, 4*c = 4. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177110 and -572?\nAnswer: 101306920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*v + 774 + 1725 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 35 + 5 = 0. Let l(h) = -6*h**2 + 7*h + 6. Let u(n) = -5*n**2 + 7*n + 7. Let p(m) = -4*l(m) + 5*u(m). What is the units digit of p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 436 - 431. Suppose 0 = n + n - 5*q - 43, c*n - 67 = -q. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 45. Let x be c(8). Suppose 8*n - 5*y = 3*n + 20, 5*n - 4 = y. Suppose -m + n*m = -2. Solve -3*s + 6 = -k, m*s - 19 = -2*s + x*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-4))\/(1911\/364))\/(((-42)\/(-52))\/7)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = 4*w. Let i be (4\/24*-2)\/(w\/42). Which is smaller: i or -51\/7?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*l - 13792 = -152 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 20 - 6*v + 24*v + 32*v**3 - 15*v as j*v**2 + k + a*v + r*v**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 1\/3, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 15225.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 17. Let l(u) = 6*u - 52. Let x(n) = -16*g(n) - 5*l(n). Let m be x(7). Suppose 4 = m*r - 2. Calculate the remainder when 7 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.64 - -14?\nAnswer: -23.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171071886?\nAnswer: 2, 3, 3793, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*h - 53 = 0, 0 = -h + 3 + 1. Let b = -4 - f. Suppose 4*i - b = 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.091845 and -4?\nAnswer: 0.36738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 21*r + 3. Let a be t(-14). Let q be 1\/((2\/4)\/(a\/2)). Let o = q - 101. Let s(w) = w - 4. Calculate s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -130. Let p(j) = -j**2 - 5*j + 7. Let b be p(3). Let i = b - -41. Calculate the remainder when f is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*c*i**4 + 4*c*i**3 - 2*c*i**2 + 4*c*i + c + 6*i + 33 wrt i?\nAnswer: 1284*c*i**2 + 24*c*i - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d. Let x(u) = -2. Let g(m) = 111*m + 6. Let n(s) = g(s) + 3*x(s). Give 21*l(c) + 2*n(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 3*w + 6*w - 4*w + w**4 in the form x*w + f*w**4 + u*w**2 + v*w**3 + h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r - 1. Let l = -7 - -5. Let m be h(l). Suppose -5*q = -5 - m. Solve 3*g - 4 = 2*g - q*c, 2*g = 5*c - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 - 1) + -5 + -1 + 4. What is the third derivative of r**6 - 3*r**6 + 18*r**2 + 5*r**6 - j*r**2 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 40. What is the least common multiple of y and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48692 = 34*f - 11726. List the prime factors of f.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2773 + 2822 - 5596 + 2681*j in the form m + f*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-5\/7))**(-41)*(b**19\/b)\/(b\/(b*(b\/(b*b**(-22\/5)))\/b)) assuming b is positive.\nAnswer: b**(-1096\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ab (base 12) to base 14.\nAnswer: -44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (657\/(-105))\/(72\/261584). Let w = 22732 + s. Calculate the common denominator of w and 46\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 130382*o - 130384.\nAnswer: 2*(o - 65192)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let p(l) be the third derivative of 299*l**5\/20 + 407*l**2. Give p(f(t)).\nAnswer: 3588*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 64 = 14. Which is smaller: 23 or p?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -255, -250, -243, -234?\n\"Answer: u**2 + 2*u - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210742.803ms in days?\nAnswer: 0.0024391528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 427 and 1525.\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 6*s + 8. Let i(w) = w**2 + w - 1. Give a(u) + 4*i(u).\nAnswer: u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 - 2 = 0. Suppose 4*s - 5*g = 0, s = 4*s - 5*g. Suppose 25 = 5*o - 4*d, s = o - 5*d - 8 - 18. Sort -2, c, o, 4.\nAnswer: -2, c, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 2*a + 2. Let k be r(-4). Suppose 0 = -2*v + 3*v - k. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13187 - 13187 + 2*u**2 - u.\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1924606*x + 1. Calculate w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 10*r + 4600 = 0. Let o = 189 - r. What is the greatest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 15. Let f = 2158 - 2161. What is the second biggest value in 0.4, j, f, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 657 + 657.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5*122\/(-30))\/(1\/3). Let r be (l\/(-2))\/(3\/432000*6). Round r to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 100*c + 100*c + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) 2\/11 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1288034*w**2. Let c(y) = -29*y. Determine c(x(b)).\nAnswer: -37352986*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1770 and 62\/74834125.\nAnswer: 449004750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103746 and 14956715?\nAnswer: 89740290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1609 - -1608.9999208. What is p rounded to six decimal places?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*r = -22, 196*r = -2*y + 190*r + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5984341 centuries in years?\nAnswer: 59.84341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 32 = -4*y, -3*y = -7*y + 4*c + 52. What is the smallest common multiple of 3 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320003 - 560?\nAnswer: -320563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -2311323?\nAnswer: 2311311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -5. Let j be (-18)\/(-27) - g\/3. Does 24 divide (-2 - -28) + 2 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 171 - 276*i**2 + 275*i**2.\nAnswer: -i**2 - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 4*r + 7. Let w be p(5). Let m = 7 - w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 12, 0 = w - 5*h - 4 - 13. Suppose v = 1, -2*v - 14 + 2 = -w*n. Suppose -6*b = -n*b + 75. What is the greatest common factor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 3*k. Let p(c) = -5*c**3 - 2*c**2 - c - 7. Let w(a) = 4*a**3 + 3*a**2 + a + 7. Let q(h) = 3*p(h) + 4*w(h). Calculate q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - -19 - 0 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 72*t + 37. Let k = -98 + 99. Let n(r) = r - 4. Let o(g) = k*f(g) + 3*n(g). Find the first derivative of o(j) wrt j.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/91)*(i*(i\/i**(-26))\/i)\/i)**(-2\/3) assuming i is positive.\nAnswer: i**(-1576\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-60)*(-12)\/(-21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202101011 - -10020?\nAnswer: 202111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 4*u + 6. Let o(m) = -m**2 + m + 2. Let f(i) = 3*h(i) - 8*o(i). Determine f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 44 = -i + 3*c, -3*c = -3*i + 36. Solve -4*z - 2*q = -7*z + 1, 3*z - i = 5*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -871243*k**2*o**2*z + 770*k**2*o**2 + 614*k*o - 3*k*z + o**2*z - o**2 + 145*o + 4 wrt k?\nAnswer: -1742486*o**2*z + 1540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffiffffffffiffff. Give prob of picking 3 f and 1 i.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 - 298 + 53 + 4879*c**2 + 125 to the form u + i*c**2 + g*c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1165 - 1158. Suppose h = 3*h + 5*v + 8, h + 3 = -2*v. Calculate the remainder when d is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -240*x + 255*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.088, -8, 1.\nAnswer: -8, -1\/7, 0.088, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 15 - 16 - 11 + 5*b**2.\nAnswer: 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, -14169, -1, 1 in decreasing order.\nAnswer: 25, 1, -1, -3, -14169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwmmmw. Give prob of sequence www.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/4320)\/(3\/(-45)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 + 24*c**4 + 330*c wrt c?\nAnswer: 20*c**3 + 288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0331 + 0.0043. Round y to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3221.49 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 divided by 2?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from pepppppeppppp?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfdf when four letters picked without replacement from fmmfmdfmvfvmmmffmdd?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**6\/60 - 3*g**5\/40 + g**3\/3 + 4*g - 2. Factor a(r).\nAnswer: -r*(r - 1)*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:19 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:24 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 + 5*b**2 - 5 - 7*b - 9*b**2. Let y be q(-4). Let r = 30 + y. What is the remainder when 19 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9017 + 9022. What is the nearest to -20\/33 in n, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 - 2*j. Determine s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.76 - 8.35. Let j = -1.59 - f. Which is the third smallest value? (a) 5 (b) -2 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27bb5 (base 13) to base 8.\nAnswer: 221414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1\/3 (b) 5 (c) 1\/148 (d) 61 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6327584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (453\/(-906))\/((-1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f - 4*f. Suppose f = 119*a - 122*a. Suppose a = p - 5*y - 29 + 10, 4*y + 18 = -2*p. Let c(n) = -3*n - 1. What is c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 3*c - 5. Let n(o) = -o**2 + 2*o + 3. Let a(g) = -4*j(g) - 7*n(g). Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 2, s: 1, j: 1, z: 1, p: 1}. What is prob of sequence bzjb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = -8, o + 4 = -5*k. Let y be 0\/4 + -2 + (k - -8). What is the third derivative of -y*s**4 - 7*s**2 + 5*s**2 + s**2 - 2*s**2 wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/25 - -2\/25. Let l = 1941\/2 + -969. Which is the biggest value? (a) -0.4 (b) 1\/4 (c) l (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**2 + 35*x + 9. Let u be (-8)\/((-480)\/(-405)) + (-7)\/(-4). Let m(a) = -13*a**2 + 52*a + 13. Determine u*m(i) + 7*z(i).\nAnswer: 2*i**2 - 15*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 165 = 55. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (4*4\/4)\/(-2). Solve a = 5*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55083 - -86566. Let c = y - -25617. What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110001000 (base 2) to base 12.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fffbtfftttfttftftft.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2, 403 = 3*f - 2*f + 2*z. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.025?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 49 - 7*c - 46 - 10*c. Let k(l) = 5*l + 18. Let y(s) = s + 4. Let j(n) = -2*k(n) + 9*y(n). Calculate j(v(q)).\nAnswer: 17*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96583*a**6 - 691412*a**2 wrt a.\nAnswer: -11589960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from xmsxmmzxsmwmwczcm?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14742894*-0.006\nAnswer: 88457.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*b - 11, -2*u + b - 3*b + 6 = 0. Suppose -4*g = -u + 10. Let t be (g + 104\/12)*-15. Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6486773, 12973543, 19460313, 25947083, 32433853, 38920623?\n\"Answer: 6486770*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, -10, -91?\n\"Answer: -81*u + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) - (sqrt(152) + -1*sqrt(152))*1)*-6)\/(-5*(sqrt(8)*1*6 - (sqrt(88)\/sqrt(176) - sqrt(8) - sqrt(8) - sqrt(8)))).\nAnswer: -144*sqrt(19)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*(o\/(o\/(o\/o**(7\/2))))\/o)\/((o*o\/o**(-9))\/((o\/o**12)\/o)) assuming o is positive.\nAnswer: o**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2102*o**2. Let h(v) = 1630*v. What is b(h(u))?\nAnswer: 5584803800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 7*x**2 + x + 1. Let t be m(7). Suppose -10 = q - 2*s, t + 7 = 3*q + 3*s. Suppose q*c + c - 31 = 0. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/316426 and 41\/1672?\nAnswer: 1265704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 2, i: 1, z: 3}. What is prob of picking 1 l, 1 i, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3258*-3.3.\nAnswer: 10751.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317 + 319. Factor 22*q**2 - 32*q**2 + 11*q + 19*q + 13*q**k.\nAnswer: 3*q*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6796947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2872851*o**3 + 4*o**2 - 398*o + 559 wrt o?\nAnswer: -17237106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143820 - 5?\nAnswer: -143825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 2*u**2 - 43*u**3 - u**4 + 43*u**3 - 3*u**4 to the form w*u**3 + b*u + m*u**4 + p + r*u**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1135 and 9\/53572?\nAnswer: 267860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let j(s) = -12*s + 9. Let q(a) = -j(a) + 4*p(a). Is q(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -182*b**2 - 10*b - 137. Let j(u) = -121*u**2 - 7*u - 94. Give -5*a(w) + 7*j(w).\nAnswer: 63*w**2 + w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.5 and 77.086.\nAnswer: -2196.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = f - 0*f. Suppose 0*d - 4*d - 3*s = -76, 0 = -5*d - s + f. 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 second biggest value in 206, 464, -4\/7, 0.016?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d**3 + 2*d**2 - 13*d - 15. What is the smallest common multiple of 2632 and s(-1)?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38616\/477873)\/(16\/11).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 37*c**2 - 135*c - 58. What is m(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10910 = -34*k + 5308. Let m = k - 475. Solve -m*l - 9 = x - 4, -4*x - 2*l - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6500004 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*j - 32080 - 129869. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 - 204. Suppose l*m = 6*m - 2. Calculate the remainder when 14\/18 + 2\/9 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let q(m) = 7*m**2 + m + 2. Let x(t) = -t**2 + t + 1. Let o(n) = q(n) + 5*x(n). Suppose -19 = -8*s + 29. Calculate s*p(j) - o(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108.30673 + 0.08327. Let m = -73.336 + w. Let f = m + -35. Round f to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20185 (b) -253.3 (c) -0.02 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let s(o) = -150*o**2 + 6*o - 12. Let p(v) = -143*v**2 + 5*v - 10. Let r(k) = -6*p(k) + 5*s(k). Determine w(r(t)).\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 rounded to the nearest ten?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/4 + 14*l**3\/3 + l**2 - 15*l + 553. Let s be 11 + (0 - 4) + 7. Determine f(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - 3 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 552 = 24*j - 3*n, 4*j = 4*n + 1104. List the prime factors of 424028\/j + (-2)\/(-3).\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -9. What is the remainder when 6 is divided by -1 + (6 - 4 - s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17577 divided by 31\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**7\/2940 - z**6\/5040 - z**5\/420 + z**4\/3 - 6*z**2. Let g(y) be the second derivative of k(y). Factor g(a).\nAnswer: (2*a + 1)*(3*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1032)\/860*(-10)\/(-208)*64\/8?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 138. Let k be z(72). Let a(g) = g + 1. Let y(n) = -n. Give k*a(p) - 4*y(p).\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12637624 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 5. Let h(m) = 2 - 20*m - 7*m**2 + m**2 + 15. Let t(c) = 2*c**2 + 7*c - 6. Let o(q) = g*h(q) - 17*t(q). Find the second derivative of o(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1209 >= 14\/2685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1335, 2663, 3967, 5235, 6455, 7615, 8703?\n\"Answer: -2*j**3 + 1342*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 18 = -2*y, y + 9 - 6 = 3*p. Suppose 5*x - 5*h - 25 = 0, y*h - 4*h + 5 = -3*x. Calculate the least common multiple of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*u - 244*u = -60. Let z(s) = s**2 + s + 4. Let w(j) = -j**2 - j - 3. What is u*z(b) - 3*w(b)?\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0053 and -0.2.\nAnswer: -0.2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/((-1)\/(-1)))\/(-1). Let o be -2 - (-2 - -4) - -77. Suppose 3*y - 5*y - 100 = -4*i, o = n*i - y. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014388 is divided by 126791.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 21 + 9 = -8*u, -2*u + 2*k - 6 = 0. Let q(n) = n**3 + 5*n**2 + 2*n + 4. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6548 + -3415.6548. Is a less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18076519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*b + 30433608 = -45*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -803 in descending order.\nAnswer: -2, -3, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(104) - sqrt(104)*-1) + sqrt(104) - sqrt(104)) + (sqrt(104) - sqrt(104)*-3 - sqrt(104))*-5)\/((sqrt(352)*-2*-2 - sqrt(352))\/sqrt(11)).\nAnswer: -25*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biauiiu. What is prob of picking 2 u and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 1, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -594 + 594.4. What is the biggest value in k, -0.1, 1\/7, 2, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/6)\/((-1)\/24). Let j = k - -113. Let l = -27 - j. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 4*p + 13 = 0, 52 = 4*o + 2*p. Suppose -3*m = o - 1. Which is the nearest to 2? (a) -1\/2 (b) m (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3330, -6685, -10066, -13473?\n\"Answer: -13*a**2 - 3316*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 119 - 71 - 206*g**3 to r*g**2 + n + p*g**3 + b*g and give p.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 - 15*w**2 + 6*w + 5. Let a be r(8). Let t(j) = 5*j - 316 - 333 + a. Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8277 - -8156.94. Let a = 119 + h. Let y = a - -1.060097. Round y to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 343881?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1999 (b) 4 (c) 5 (d) 0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + -3133?\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1110242836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 2, y: 1}. Give prob of picking 1 j, 1 y, and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(324)*2))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 + o**2 + o - 1. Let x be j(1). Let z = 6 - 2. Suppose w + 5*k - 7 = -x, 31 = z*w + k. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - 4*w + 2. Let b be s(-4). Suppose -t + 57 = b*h, 4*h - t - 117 = -6*t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n - 1 + n - 4*n)*((0*n + 2*n - 3*n)*(-6 + 4 + 0) + 30*n - 297*n - 115*n) as p*n**2 + u + t*n and give t.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**7\/(b\/(b**(-3)\/b)*b\/(b**(2\/7)\/b)) assuming b is positive.\nAnswer: b**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 6*l - 2. Let u be p(5). Suppose -u*x = 2*x - 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**5 - o**3 + o**2 - 2*o. Let z(q) = -285*q**5 - 6*q**3 + 5*q**2 - 12*q - 217. Let t(u) = -6*m(u) + z(u). What is the third derivative of t(v) wrt v?\nAnswer: -17460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -1\/5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108296354 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = -3*o + 24, 0 = -t - o + 6. Suppose 4*j - 483 = n + 500, -2*n + 1232 = t*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*l - 3*v + 10, 4*v = -2*l + 50. Let n = l + -113. Let f = 199 + n. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 64 = -3*l. Let r = -21889\/1716 + 5\/858. What is the common denominator of r and (l + 7)\/((-2)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 160*j - 62. Let b(y) = 281*y - 125. Determine -7*a(w) + 4*b(w).\nAnswer: 4*w - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -18682?\nAnswer: -18681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 46*o**2 - 1102. Is 118 a factor of m(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erjqljlnlqrr. What is prob of picking 1 l and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/5 (b) -1 (c) 1 (d) 0.2 (e) 6275\/3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16835, -34825, -52815, -70805?\n\"Answer: -17990*d + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2859 rounded to two decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45a75b18 - 0?\nAnswer: 45a75b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 189054 = 3*j, 355*j = x + 354*j - 37806. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/36 (b) 2\/9 (c) 1\/3 (d) -0.11 (e) 1\/30 (f) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17157810185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19033 + -0.1626. What is x rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)\/h**(-2))**(-2\/21))**(-25) assuming h is positive.\nAnswer: h**(400\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*h + 3*k, -3*h + 14 = -3*k + 11. Solve -31 = -h*f - 31 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2724706 or -2724708?\nAnswer: -2724708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -646, -647, -650, -655, -662, -671?\n\"Answer: -b**2 + 2*b - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3569*a + 3310*a + 20.\nAnswer: -259*a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:17 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 705389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156141?\nAnswer: 7, 23, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 147 - 147 - 9*g. Let k(p) = 3*p. Calculate u(k(v)).\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1856 at least -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*p**2\/9 + 19172300*p\/9 - 1127782\/3.\nAnswer: -2*(p - 563891)*(17*p - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1485639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okm when three letters picked without replacement from {k: 2, o: 1, t: 1, m: 2, g: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 = 0, -2*w = s + w - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5\/60 - r**4\/4 + r**3 - r**2 - 4. Let y(c) be the second derivative of s(c). Determine y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at most -863\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 20*k**3 + 14*k**3 - 49*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbdmbmbldb. Give prob of sequence mlbm.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117823954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3624976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1645?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*a - 251*a + 45*a - 5*a**2 - 45*a.\nAnswer: -5*a**2 - 340*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -967, -1079, -1229, -1411?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -1\/3*h**3 + 36*h**2 + 0*h**4 + 8\/15*h**6 - 16 + 0*h**5 - h. What is the derivative of n(a) wrt a?\nAnswer: 64*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1464 - 1113. Calculate the greatest common factor of 39 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 51 - 50 + 77*t**2.\nAnswer: 77*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i. Let k(r) = 4*r**2 + 2*r. Let w(y) = 5*y + 14*y**2 + 8*y + 7*y**2 - 2*y. Let m(p) = 11*k(p) - 2*w(p). Give q(m(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*h - 14, 5*w + h = -0 + 23. Suppose -5*p - 3*y - y = 17, -w*p + 2*y = -1. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 - r. Suppose -m - 3*h = 12, -2*h = 3*m - 3*h - 4. Let c be d(m). Put -1\/2, 5, c in increasing order.\nAnswer: -1\/2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 1\/21*i**4 - 1\/21*i**3 + 1\/70*i**5 + 4*i + 0 - 2\/7*i**2. Factor q(k).\nAnswer: 2*(k - 1)*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 + 0 + 0 + 0 as c*h + b*h**2 + n and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -5 (c) -0.28 (d) -1\/6 (e) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54 and -0.7.\nAnswer: 53.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -826541, -1653196, -2479851, -3306506, -4133161, -4959816?\n\"Answer: -826655*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 87 - -40081990\nAnswer: 40082077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 23*g - 6. Let k(r) be the second derivative of 2\/3*r**6 + 5\/2*r**g + 0 + 5\/2*r**2 - 25\/12*r**4 + 17*r - 3\/4*r**5. Determine i so that k(i) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1)\/sqrt(11))\/(5*sqrt(96)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 307, 340, 389, 460, 559, 692?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4124*n**3 + 6*n**2 + 250532*n wrt n.\nAnswer: -24744*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqqee. Give prob of picking 1 e, 2 q, and 1 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a factor of 245601206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -771\/590 - -24\/59. Calculate the common denominator of (4\/(-10))\/(84\/45) and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, -36 = -2*y - y + 4*k. Suppose 3*j + 16 = q, -q - 5*j - y = q. Let t = 584002 + -584013. Sort 5, q, t.\nAnswer: t, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-15)\/18)\/(-5)). Let p(b) = -2*b + 7*b**2 + 1 + b + b**3 + 4*b - 6. What is p(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 26. Suppose 5*b - b = -5*y - s, -3*b - 25 = 5*y. Suppose 2*t - t - 30 = b. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17787\/(-4235))\/((-11)\/(1650\/9))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*o + 2*y = -1044*o - 4, -4*o - 2*y = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/14 + 12\/84. Let t(g) = 0*g**2 + 4*g**2 - u - g + 0*g. What is the remainder when 65 is divided by t(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:38 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 17*p - 8, 0 = -5*s + 2*p + 6383. What is the lowest common multiple of s and 85?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/200 and -117\/3320.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -6*g - 100. Let n be (-24)\/g + (-32)\/(-6). Calculate the greatest common divisor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 50*z**2 + 93*z + 147. Let s be q(48). Solve -1 = s*i + 4*l + 1, -i = 2*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1692)\/8 + 1)*-2. Let r = 877\/2 - l. Calculate the common denominator of r and 115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 15 in ascending order.\nAnswer: -4, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6716 and 44676.\nAnswer: 1027548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75473, -75405, -75343, -75293, -75261, -75253, -75275, -75333?\n\"Answer: -d**3 + 3*d**2 + 66*d - 75541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 932737 or 932753?\nAnswer: 932753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -714, -1071, -1428, -1785, -2142?\nAnswer: -2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 80 = 36*u - 41*u, -o + 2*u - 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*x + 18, -23*o + 21*o + 2 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*t - 113, -14*s = -13*s - 2*t - 106. Suppose -112 = -5*n + 2*h, -10*n - 3*h = -6*n - s. What is the remainder when n is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1173 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**6\/24 + w**5\/3 - 25*w**4\/24 + 5*w**3\/3 + 21*w**2 + w + 20. Let l(s) be the second derivative of u(s). Factor l(n).\nAnswer: -5*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.4. Let x(r) = -r**2 - 6*r - 5. Let l be x(-5). Suppose l = 3*b + 12. What is the smallest value in b, -2, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5470947 is divided by 1401?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 2, n: 6, l: 4, g: 3}. Give prob of picking 1 a and 2 s.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192855 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3552 = -4*f - 0*m, -1764 = -2*f - 2*m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -64, -12, -5, -3 in ascending order.\nAnswer: -64, -12, -7, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r - 2904 = 367*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*48\/(-504))\/(-2*(-4)\/(-276)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*p**3 + 14064894*p**2 - 150*p**3 - 14064894*p**2 + 2.\nAnswer: -5*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 15*y - 12. Give d(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from iinni?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387441951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946.982 centuries in millennia?\nAnswer: 194.6982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95 and 0.01.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 731191 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12 (b) -44 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16668 != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**9\/15120 + j**8\/6720 - j**4\/8 - 3*j**2. Let v(a) be the second derivative of y(a). Find l such that v(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, x: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 3}. What is prob of sequence xxxn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*v + 31, 3*p - 7 - 17 = -3*v for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 241 = -c + 16, 4*f - 1108 = -4*c. Let g = 864 - 843. Calculate the highest common factor of g and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lak when three letters picked without replacement from {l: 1, g: 7, k: 3, a: 5, u: 2}.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a. Let p(k) = k**2 + 5*k + 12. Let w(g) = -p(g) - 2*z(g). Let f be w(6). What is the common denominator of -21\/50 and 140\/(-176)*(-1 + f\/2)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 409 + 2648 + 2*d**3 - 3*d**3 + 2410.\nAnswer: -2*d**3 + 5467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-192) - 1365\/(-4). Let j = -45 + i. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**4 + 2*u**4 - 6*u**4)*((0*u + 0*u - 4*u)*(-3 - 4 + 3) - 2 - u + 2).\nAnswer: -120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8340*i**4 + 3*i + 361.\nAnswer: 100080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyqqqqdqqqyydydy. What is prob of picking 2 q?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)\/(i\/(i*i\/(i\/(i\/(i\/i**(-1\/5)*i)*i)))))\/(i**(-5)\/i*i)**(-5\/11) assuming i is positive.\nAnswer: i**(-356\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311505 - 5?\nAnswer: 311500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1, 803, 3, 0.1.\nAnswer: -1, -0.6, 0.1, 3, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391836000 rounded to the nearest one million?\nAnswer: 5392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (15 - (-8 + 1 - -20))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 24. Suppose -5*n + g = 2*x - n, -5*x = 3*n - 32. Calculate the lowest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 1\/12*z**3 - 27\/4*z**2 + 23 + 729\/4*z. Find c, given that v(c) = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11654 is divided by 109?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -192894156+572\nAnswer: -192893584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 17*f - 20. Let k be h(14). What is the first derivative of 114*r - 57*r + k - 55*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1715821 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) 2\/7 (c) 1\/3 (d) -2\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:53 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41454*o - 4*o**3 - 41454*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -616.32332643.\nAnswer: -615.82332643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 178 = -1118. What are the prime factors of l?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2041 (base 5) to base 13\nAnswer: -17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 2*s**3 + 9*s**2\/2 + 2*s + 12. Let b be l(-6). Let u = -30 - b. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-578)\/5)\/((-322)\/24150) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*r - 10*r = 58, 25854*r - 25852*r = -g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 19, 21, 23, 25?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0148 from 1612.88637074.\nAnswer: 1612.87157074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**3 + c**3 - 3*c**2 - 87 + 6*c**2 + 4*c**4 - 20*c**3 wrt c.\nAnswer: 96*c - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -49, 2, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.037.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.23058t in micrograms?\nAnswer: 28230580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, 3, -3390.\nAnswer: -3390, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 37*n\/2 - 120.\nAnswer: (n - 6)*(n + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1586 divided by -408824\nAnswer: -61\/15724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:38 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 - 7*z**2 - 4*z - 15. Let w be v(-3). List the prime factors of 6*(14310\/12)\/w.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/5 (c) -20 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 3*i - 3*b, -3*i - 2*b - 5 = 83. Let k be (6\/8)\/((-2)\/i). What is k rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 5910970*d\/7.\nAnswer: -2*d*(d + 2955485)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4 + 200*m**3 - 107*m wrt m.\nAnswer: -24*m**2 + 1200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + sqrt(180) + sqrt(180)*-2 + 3 + sqrt(180) - -2*(-1 + sqrt(180) - sqrt(180))*2)*-6 + -1)**2.\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000688 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*n + 2*n. Suppose 2*t = t + n. Let h - 4\/5*h**2 + 1\/5*h**t - 2\/5 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -1219, -3175, -6027?\nAnswer: -9775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106450, -426133, -959044, -1705183, -2664550, -3837145?\n\"Answer: -106614*i**2 + 159*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 217, 238, 247, 238, 205, 142, 43?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by -159\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b + 10. Calculate the least common multiple of u(0) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-24)*2\/(-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 5. Let q be (1\/l + 3)*1. Suppose 0*y + 5*a = -5*y + 110, -5*y + q*a = -74. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/14)\/(31\/(744\/(-384))))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2137346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 15*h + 720 = 0, 3*l + 12*h - 30 + 332 = -145 for l.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 1672*n\/3 + 558208.\nAnswer: -2*(n - 1424)*(n + 588)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 2, o: 5}. Give prob of picking 1 j and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*h + 8 = 0, -64*l = -69*l - 24*h + 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c + 1354. What is j(-63)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.205 in 24, -237, -0.033, 0.5?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/3)*z*z\/((z*z\/(z\/((z**(-9)\/z)\/z)))\/z)*z assuming z is positive.\nAnswer: z**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 2\/5. Let g = 22\/295 - 7783\/116230. Let x = -561\/3940 - g. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.11 to zero decimal places.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 55*x**3 + 98*x**3.\nAnswer: 43*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 58 - (20 + -1 + (-42 - (-40 - -17)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**2 + r - 7. Let u(t) = -4*t**2 + t - 3. Let d(f) = 2*j(f) - 5*u(f). Let k be d(4). Suppose o - k + 3 = 0. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*v - 7, 3*v + 2*v + 43 = 2*t. Calculate the remainder when 96 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 9) in base 7?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*z = 30, 3*q + 3*z - 16 = 5*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let r(t) be the first derivative of t**5\/20 - 29*t**4\/24 - 2*t**3 + 2*t - 243. Let a(c) be the third derivative of r(c). Give g(a(p)).\nAnswer: 36*p**2 - 348*p + 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose u*q + 350 - 90 = 5*r, -4*q = 3*r - 124. Suppose -r = -0*v - v. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -5111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127983929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 157 = 218*g - 225*g, 102 = -4*g - 5*i for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 279?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2. Let w be h(1). Let v be (-1)\/(-1 - w)*-3. Is -2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4)\/g*g*g*g*g*g**(-12)*g*g*g)**27 assuming g is positive.\nAnswer: g**(-783\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/49 (c) 24611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1543 = -2*h - 171. Let k be (-12)\/54 - h\/(-9). Suppose k = 2*t - i, -2*i = -3*t - 0*i + 114. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 - 2*x + 7. Let u(k) = -k**2 + k - 1. Give s(p) + 2*u(p).\nAnswer: -11*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6090 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 58587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**4 - 1. Let b(f) = 12*f**4 + 2*f**3 - 72*f**2 - 5. Let u(o) = -b(o) + 5*w(o). Find the third derivative of u(l) wrt l.\nAnswer: -168*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/30132 and 73\/429.\nAnswer: 4308876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from sssuuus.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2803 + 0.0939. Let b = 0.374 - h. What is b rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 36314301.18.\nAnswer: -36314291.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:56 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15505.4 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1659146 - -2887420. Suppose -q + 26428274 = k. Suppose 2*n - k = -t, t = -2*n - 2*t + 25200000. Round n to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -5.75. Let m = -0.1 - z. What is m rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*g**4*q + 46103*g**3*q + 7465*g**2*q - g**2 - 14*g - 1 wrt g.\nAnswer: 456*g*q + 276618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-4) + (-1)\/2. Let q(o) = -o**2 + o - 1. Suppose 0 = 14*p + 13 + 1. Let r(g) = -g**3 - 5*g**2 - 2*g - 2. Let w(a) = p*r(a) - 2*q(a). Give w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2154, -2156, -2158?\n\"Answer: -2*w - 2152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1355*p**2 + 3691*p**2 - 3779 + p**3 - 1781*p**2 wrt p.\nAnswer: 3*p**2 + 1110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 5. Let i be j(5). Suppose -3*o - 13158 - 24042 = i. What is o rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58176*c + 63667*c - 128581*c.\nAnswer: -6738*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 88610531.\nAnswer: -2\/88610531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 44 = 21*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6062 is divided by 98.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 19.91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r**2 + 3*r**2 - 31*r**2 - 7*r**2 - 3 + 1.\nAnswer: 16*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.511 + -5.501. Let d = -0.3 - 0. Let o = 0.2 + d. Which is the third smallest value? (a) 1 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/52 and -49\/4862?\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*n - 166*n - 783*n = 180*n - 177000 for n.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*n + 3582 = 11346 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/2 - c**3\/3 - c**2\/2 - 1. Let y be (1 + -1)\/(1 - -1). Let i be -1 + y\/((-6)\/(-3)). Calculate k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -313 + 311.65. Let b = 1.35000622 + u. What is b rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207650 = -5*r + 5*m, -3*m = r - 49160 + 7614. What are the prime factors of r?\nAnswer: 2, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 161. Let y = 29 + -19. What is the remainder when y is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5363937287271 and -3?\nAnswer: 5363937287274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25396204 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 852, 839, 814, 771, 704, 607?\n\"Answer: -l**3 - 6*l + 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*b - 11*y + 12*y, 0 = -3*b - 4*y - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(9 - 9 + 6*u**2) + (-2*u - 2*u + 2*u)*(5*u - 2*u - 2*u) to p*u + j*u**2 + f and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 21*k - 2. Let t be b(-20). Let d = 36 - t. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4081687 to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 183.1. Let v = 0.14 + -0.05. Let b = v + 4.91. What is the third biggest value in b, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 0.4, 4.2, 1\/5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i - 1. Let n(k) = -8*k. Give -3*n(y) + 4*o(y).\nAnswer: -8*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94590 or 93435?\nAnswer: 94590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 157*w**2. Let o(y) = y + 3165. Determine o(i(q)).\nAnswer: 157*q**2 + 3165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 48 in increasing order.\nAnswer: -4, -3, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -0.1, 5, -159, 0, 0.1, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fywk when four letters picked without replacement from {w: 1, y: 4, u: 1, f: 1, c: 3, k: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 373353.\nAnswer: 2240118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 2*k)*(0*k**2 + 2513*k**3 + 2*k + 7*k**2 - 2529*k**3) - 5*k**4 + 2*k**4 - 6 + 0.\nAnswer: -19*k**4 + 7*k**3 + 2*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*r + 30525 = -101*r. Calculate the smallest common multiple of r and 30.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 569 or 560?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 - 334214220?\nAnswer: -334213421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 + 8 = s, 2*r + 2 = -2*s. Let h = r - 2. Find the first derivative of -h + 2*o**3 - 4 + 5*o**3 - 4*o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 94*r - 24721. Determine l(263).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 45825967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -2, 3, 1, -3, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 20, 41, 82, 149, 248, 385, 566?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -35 - 31) + -8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 2*z**2 + 2*z**2 + z - z - z**3 + (-z**2 - 4*z**2 + z**2)*(-z + 3 - 3).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 5. Let w(t) = 3*t - 2*t - 2 - 2*t. Let u(q) = -q**3 + 3*q**2 + 3. Let n be u(3). Calculate n*g(k) + 7*w(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i - 4*i**2 - i**2 - 6*i. Let h(b) = -4*b**2 - 5*b. Let j(v) = v**3 - 5*v**2 + 4*v + 5. Let z be j(4). What is z*g(w) - 6*h(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-161))\/(-3)*3\/3?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*220271\nAnswer: -22027.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411 = -0*r + 3*r - q, -497 = -r - 5*q. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 24*j + 16*j. Let g(m) = 1612*m**2 + 12*m + 1. Is g(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, x: 2, q: 11}. What is prob of picking 2 q and 2 x?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 179. What is the highest common factor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 18. Suppose -n + 4*b - 5 = 0, -3*n - 3*b = -2*n + 12. Let w be o(n). Let i be w - 2 - (-1)\/(-1). Sort 5, i, -12 in descending order.\nAnswer: 5, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g\/g**(1\/2))\/(g*g\/g**2*g*g*g\/g**(-2)) assuming g is positive.\nAnswer: g**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*q + 17*n**3 + 66169*n**2*q - 196*n - 7*q - 113 with respect to q.\nAnswer: -2*n**3 + 66169*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*s + 76 - 2*s**2 - 115*s + 50*s - 584 + 16*s as y*s**2 + q*s + j and give j.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423.8 - 423.1. Let y be (-26)\/42 + 2\/6. Which is the smallest value? (a) m (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(1 + 4 + 0 + sqrt(1872) + ((-1 + sqrt(1872))*-3 - 1*(sqrt(1872)*1 - sqrt(1872))))*-1)**2.\nAnswer: -9600*sqrt(13) + 188800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*j - 1146 = -203*j. Suppose r - 3*k = -2*k + 181, -j = -2*r - 2*k. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - o**2 + 5*o + 6*o**2. Let h be (0 + 2)\/(-1)*(-48)\/(-32). Let j be (2\/h)\/((-68)\/(-714)). What is c(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358 and 311528?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.665 + 0.62. Round u to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8528 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: Round 133632.81 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*l. What is the second derivative of -z**4 - 14*z**l + 2*z**4 + 4*z - 33*z wrt z?\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let p(q) be the first derivative of -13\/2*q**2 + 0*q - 3. What is p(u(f))?\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*i**2*s**2 - 11*i**2*s + 3*i**2 + 89*i - 6*s**2 + 7 with respect to s.\nAnswer: 106*i**2*s - 11*i**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(63)*-4)\/(-1*sqrt(810)*4 + sqrt(810)).\nAnswer: 4*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3775, 4216, 4657, 5098?\n\"Answer: 441*r + 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (1*(5 + 3) - 3). Put -0.3, -54, m, 3\/4, 0.4 in increasing order.\nAnswer: -54, m, -0.3, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 3*l**2 + 2*l**2. Let c(a) be the third derivative of 0*a**4 + 106*a**2 + 0*a - 1\/30*a**5 + 0*a**3 + 0. Calculate o(c(v)).\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*s**4 + 182*s**2 + 1 wrt s?\nAnswer: 1200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -81, -116?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 880\/56 + 36\/126\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1\/(2\/12). Suppose 4*s - 767 = u*s. Suppose -4*n - 5*r + 233 = -540, 0 = -4*n + r + s. Calculate the greatest common factor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36481, 36803, 37125?\n\"Answer: 322*l + 36159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 64\/(-8))\/(1 - -1). Which is smaller: q or 2\/11417?\nAnswer: 2\/11417","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4715*j**3 + 36*j**2 + j - 340. Let k(b) = b**3 - 19*b**2 + 2. Let a(i) = g(i) + 2*k(i). Find the third derivative of a(f) wrt f.\nAnswer: 28302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0442 and 0.2.\nAnswer: 0.20884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.000000194 - 19. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 609*b = 608*b + 8, 5*l + b = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(35)*2 - 2*sqrt(140)\/sqrt(4))\/((2*sqrt(252) - sqrt(252)) + -2*sqrt(28)\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3666324404 to the nearest integer?\nAnswer: 60550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, 1, 955.\nAnswer: -3, 1, 3, 5, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*-6*3\/(-6). Let o = 17.83 - 18. Let s = -0.07 - o. Sort s, a, -5 in increasing order.\nAnswer: -5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 times 3?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240933 - 81484 = 20886*q + 95303 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453386772 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 9*a**3 - 3*a**3)*(0*a - 4*a + 2*a)*(2 + 0 - 1)*(-2*a - 2*a + 3*a).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 4*y = -124 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 4\/7, 3115, 12, 3, -0.1, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10181417 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1 - 2 - 4 + q**2. Let k(p) = -23. Let b(n) = 70. Let f(v) = -b(v) - 3*k(v). Let o(y) = a(y) - 5*f(y). Let c(h) = 6*h. Calculate c(o(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, -0.009, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let i(j) = -j**3 + 2*j**2 + 3*j - 1. Let a be i(t). Let g = 3.2 - 3. Is g >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351252 at least as big as 1351269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -4273144?\nAnswer: 4273140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 2*o - 3. Suppose 3*m + 5*v - 2*v = -24, 2*v = 2*m + 32. Let a be (m\/(-20))\/(1\/5). Suppose -3*z + 7*r = a*r + 2, z = -3*r + 8. Give g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -5*r. Solve -26*k**2 - 64*k**3 + 21*k**5 - 8*k + 6*k**3 - 21*k**2 - k**4 + r*k**2 = 0 for k.\nAnswer: -1, -2\/3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2 + (-1)\/(-2)). Let y = 0.4 + -0.3. Let v = y + -0.6. What is the nearest to f in 0, 2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29*u - 112. Let n be t(-4). Let h(x) = 3*x - x - x**2 + 3 - 4*x + 3*x. Calculate h(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -26*w**2 - 16*w - 147. Let n(d) = -11*d**2 - 6*d - 73. Calculate -7*n(y) + 3*v(y).\nAnswer: -y**2 - 6*y + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10697008.\nAnswer: 2, 7, 149, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4236038 is divided by 105898?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0761 - -0.075761. Round b to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -32. Suppose -4*c + 19 = d, 5*d + 3 = i. Suppose 22 = m - 6*z + 2*z, 3*m - c*z = 74. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (102 + -7 + 28 + -77)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*r - 1006, 5*x - 1264 = 6*r - 3*r. Let i = 9 + x. Let k = i + -159. What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g + 2. Suppose -3*f - 78 = -4*v, 0 + 2 = -f. Let c = v + g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - l + 23 = -12, 3*b = 3*l + 129. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1083829 in -2\/3, 0.9, 0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 1. Let u(o) = 4*o - 1. Let p(q) = 2*u(q) - 3*z(q). Suppose -3*n = 9, 13 = -5*v - 5*n + 3. What is p(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 24*l**2 - 63*l**2 + 16*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.6 + -4. Let i = -3.68 + z. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 128.289 and 6.\nAnswer: 134.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -68\nAnswer: -75\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/20 and 33\/1840?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*p**6 - p**4 + 146*p**2 wrt p.\nAnswer: 2040*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -48. Suppose 0 = 4*g + 2*w - 5*w + 12, -2*g = -2*w + 6. Sort g, o, 0 in ascending order.\nAnswer: g, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**33\/v*v)**(-28\/5) assuming v is positive.\nAnswer: v**(-924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1530 and -191\/1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -16.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*y - 3*y + 2*y)*(y**2 + 3*y**2 - 6*y**2) + y + y**3 - 10*y + 6*y)*(3*y - y - 6 - y) as j*y**2 + k + f*y + r*y**3 + l*y**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101 (base 2) in base 3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-1)\/1))\/(-1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 612 - 612. What are the prime factors of -3 - (-467 + 4 + t)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 973258 - 3091258. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.064739 millilitres to litres.\nAnswer: 0.009064739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 39. Let i be c(-12). Suppose 0*t - 3*a + 3 = i*t, 4*t = -5*a. Suppose 3*g = 3, g - t = 2*r - 38. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1086022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Let k = 18 + t. What is the units digit of (2 + k\/(-4))*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217 - 217 + 425*a)*((2*a + 0*a - 3*a)*(a + a - a) + 37*a**2 + 40*a**2 - 62*a**2).\nAnswer: 5950*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 39 = -3*u, 0 = 2*u + 3*q + q - 40. Suppose -392 = -4*v + 3*k, 4*k = -2*v + 64 + 132. What is the greatest common factor of v and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcxxhcxxchcxhc. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -517*t + 524*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 = -14*q - 8*q - 779 + 258 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18110188 to the nearest 100000.\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3047*q + 763*q + 760*q + 20 + 762*q + 758*q.\nAnswer: -4*q + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-66)\/(-1155)*1\/(4\/25))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852919852 to the power of 1\/2, to the nearest integer?\nAnswer: 53413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171043.\nAnswer: 171043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8160209 litres?\nAnswer: 816.0209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590150.4l to millilitres.\nAnswer: 590150400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 805342 + -4?\nAnswer: 805337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4159, 4168, 4191, 4234, 4303, 4404, 4543?\nAnswer: 4726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 13849.26.\nAnswer: 166191.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -459170*c**4*t - c**4 - 4236961*c*t wrt c?\nAnswer: -5510040*c**2*t - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223.05630471 - 0.3?\nAnswer: -1223.35630471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 42751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-7)\/3 + 2). Suppose 4*r - 16 = -3*x, -4*x + 6*r - 16 = 2*r. Let z be (0 + 1 + -2)*x. Solve o + 2*b - 2 = w, z = 5*b - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - (-10 - (-5 - -2 - 6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c\/(c**1\/c)*c))\/c)**(-42)*(c\/(c\/(c*c*c**(2\/13))))**(-21) assuming c is positive.\nAnswer: c**(-588\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244573692 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = 2*k + 3*j, -25 = -3*k - 2*j. Let y(i) = i**3 - 4*i**2 - 4*i + 1. Let b be y(k). Calculate the highest common factor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/p**(-1\/3))**(-1\/3))**(-7\/12))**31 assuming p is positive.\nAnswer: p**(1085\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*z**2 - 3*a**2*z - 2107*a**2 - a*z - 330*z**2 - 330 wrt a.\nAnswer: -6*z**2 - 6*z - 4214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17147, 33834, 50521, 67208, 83895, 100582?\nAnswer: 117269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211*j**4 + 109*j**3 + 6*j + 696902 wrt j?\nAnswer: -844*j**3 + 327*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - -15. Suppose 4*c - 376 = 2*k, -k + y = c + 10. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 10. Let g be j(-4). Let z = g + 14. Let t be (22 + 1)*(1 - z). Calculate the greatest common factor of t and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - 0.31. Let n = 3 - 2.8. Let y = -8.068 - -4.068. Which is the closest to n? (a) -0.1 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83 + -4?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847))**2 + sqrt(7) + (sqrt(77) + sqrt(77)*1)\/sqrt(11).\nAnswer: 3*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19129 - -8653?\nAnswer: -10476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 543497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(5 - (7 + -4)). Solve l = -d + 3, 2*j + 18 = 4*d - 0*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Differentiate -f*g + g + 3*g - 2 with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319560 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1525 (base 7) to base 12.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51850 and -6.88.\nAnswer: -356728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54656 and 1910398?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4637.04875713 and 4?\nAnswer: 4641.04875713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-7 - 1) + -11 + 7 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 960*n**2 + 188 - 91.\nAnswer: 960*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -944 - 17919?\nAnswer: -1845d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqidygt. What is prob of picking 1 g and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - d3?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 3063001845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or 333?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*o**2 + 364*o**2 - 230*o**2.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:15 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 - 8*i - 12. Let u = -6 + 8. Let v be (25\/u)\/5*-2. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -43\/60*k**5 + 3*k**2 + 0 - k**4 + 0*k**3 + 0*k. Find the second derivative of z(b) wrt b.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and -31\/46662.\nAnswer: 186648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -404 - -405. Let v be (184\/(-96))\/23 - w\/4. Put v, -0.4, 5, 8 in increasing order.\nAnswer: -0.4, v, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276343, 276345, 276347, 276349, 276351?\nAnswer: 276353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -6, 15, 60, 135, 246, 399?\n\"Answer: n**3 + 3*n**2 - 13*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3930)\/(-150) + (-1 - -2)\/(-5). What is the greatest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 873297 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 + -136 - (-2 - 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 1 + sqrt(432) + sqrt(432) + 2*sqrt(48).\nAnswer: 1 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7894, 2.\nAnswer: -2, 2, 7894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402280614.\nAnswer: 2, 3, 31, 47, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -108.8?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 2. Let w be a(6). Let v = 0.14 + -0.34. What is the nearest to 2\/3 in w, -4\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/126 - g**3\/63 - 13*g - 2. Let q(f) be the first derivative of k(f). Factor q(x).\nAnswer: 2*x*(x - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 1832735*z**2 + 14662120*z + 29324400.\nAnswer: -5*(z - 366555)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(3\/((-189)\/42)))\/(105\/14)?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(432) - (sqrt(432) + sqrt(432) + -1*sqrt(432) - sqrt(432))**2 - sqrt(432) - sqrt(432))*-2 + 3.\nAnswer: -24*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -9 - 11. Let h(y) = -4*y - 4. Let s(m) = -m**2 + 11*m + 11. What is x*s(l) - 11*h(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1828.91135 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htr when three letters picked without replacement from {h: 2, t: 2, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*f - 122, 4*x - 2*f = -0*f + 166. Let p be 70\/22 - ((-8)\/x)\/(-1). What is the second biggest value in p, -0.4, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(80\/(-18) - 58\/261). Let v be (104\/(-6))\/(4\/(-6)). Let d = v - n. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -474 - -1785. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -15105 - -75523\/5. Which is the nearest to -1? (a) 12\/13 (b) -0.1 (c) p (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2034 = -4*q - 490, -5*u + q = 3149. Let n be (-4)\/(-10) + 192\/u. What is the nearest to -2 in 5, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*t - 196 = 7*i, -2*t = -8. Calculate the remainder when i is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, -11, -31, 0.4 in decreasing order.\nAnswer: 0.4, -0.2, -4, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -412 (base 5) to base 4\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Put -0.1, 0.4, 159\/334 in descending order.\nAnswer: 159\/334, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:44 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*sqrt(27)*-3 + sqrt(27) - sqrt(243)\/(sqrt(54)\/sqrt(6)))\/(6*(-3*2*sqrt(1296) - sqrt(1296))))**2.\nAnswer: -9\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7*(-7)\/(-98))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4405.16 + 4605. Round t to the nearest integer.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 1458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449 + 446 - 2*x**4 - x**4)*(5 + 2*x - 1 - 2).\nAnswer: -6*x**5 - 6*x**4 - 6*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 - 28 = 0, 3*z - 804638 = -4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 (base 5) in base 12?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - (4 + -1). Let y(g) be the third derivative of 0*g + 1\/6*g**3 + 0 - 1\/24*g**4 - g**2. Determine y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9692.08mm in nanometers?\nAnswer: 9692080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**14)**15 assuming c is positive.\nAnswer: c**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4513 = -13*d + 4435. Let f be 30\/8 + (-2)\/(-8). Let r be f + (d - -4)*2750002. What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/48)\/7*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*s + 3*b, 2*s - 4 = s + b. Suppose -16 = 2*g - 105*h + 102*h, -h + 2 = -4*g. Solve 0 = s*y + g - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -170\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/504 - a**5\/60 - 2*a**2. Let k(c) be the third derivative of b(c). Let u(t) = -2*t. Give u(k(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*(1\/3 + 1)\/((-1500)\/(-450)). Sort 60, m, -3 in descending order.\nAnswer: 60, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*r, 35*r - 32*r - 6213 = -2*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 330, 1071, 2512, 4887, 8430, 13375?\n\"Answer: 39*y**3 - y**2 + 5*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03538 times 0.02\nAnswer: -0.0007076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4518 and 7521466?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3\/8 (c) 2 (d) 887 (e) -2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34*v**2 - 6*v - 5. Suppose 0 = -6*z - 18. Let m be a(z). Calculate the greatest common factor of m and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2075187 micrometers?\nAnswer: 0.0000002075187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -979*t**6\/30 - t**5\/10 - 49*t**4\/12 + 243*t. What is the third derivative of b(h) wrt h?\nAnswer: -23496*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6101 is divided by 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + 4 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 3*z + 17 = 0, f = z + 4. Let i = -2 + f. What is the second derivative of 4*n**5 - 2*n**5 - n + i*n wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r**3 + 413120*r**2 - 1534864*r - 472256 = 0.\nAnswer: -14758, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-27) - (18076310\/18 + 1). Let s = 241240 + p. Round s to the nearest ten thousand.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -s = -2*c + c. Suppose 0*p - r = c*p - 25, 0 = -p + 4*r + 8. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(0 + 0 + 2 + (1 - 2 + 5)*(2 - 4 - 8))*(-2*p + 30 + 4*p - 34).\nAnswer: -152*p + 304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16897458 is divided by 49845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15515210 + -12?\nAnswer: -15515222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*f**3 - 2*f**2 + 262 wrt f?\nAnswer: 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 31 + 29 - 61 to d + f*n and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34733183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 127*m - 3749. Let y(f) = 40*f - 1250. What is 6*d(n) - 19*y(n)?\nAnswer: 2*n + 1256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01168 - 275.88832. Let c = v - -273. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -860 by -10.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - b - 1. Let l(c) = -11*c**4 - 6*c**3 - 13*c**2 - 6*c - 6. Let q(d) = 6*a(d) - l(d). Find the third derivative of q(s) wrt s.\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - 10*v - 16. Determine i(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from {o: 9, x: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**4\/24 + c**3\/3 + 95*c**2. Give o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4633 or -4155?\nAnswer: -4633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + c**2 - 4*c - 9. Calculate n(-6).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8))**32 assuming g is positive.\nAnswer: g**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -33. Let n(v) = 3*v**2 + 13*v + 24. Let z be n(q). What is z rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -163*s**2 + 1596*s**2 + 580*s**2 - 28. Let d be f(4). Round d to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 39) + (1 + 1)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 1849324317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2230 + -2232. What is the nearest to -1 in 0.3, -0.46, g, 5?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111334506.\nAnswer: 2, 3, 18555751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 + 1 + (19 - 14) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989727 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 15*c**2 - 15*c + 325. Let o be y(-17). What is the second biggest value in -0.1, -3, o, -4, -2.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11\/n)\/(n**(1\/19)\/n*n)*(n**(-2\/9))**(2\/7) assuming n is positive.\nAnswer: n**(11831\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-162)\/42 + (-1)\/7. Let v be -1*2\/(-5) - 1. Which is the closest to 0.1? (a) m (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 506 - -4676. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 462\/(-8) - 6\/(-8). Let z = j + 188. Suppose -3*m = -6, -5*v - 3*m + z + 140 = 0. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6490 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**4 + 678*i**3 + 1148*i**2 + 538*i + 77.\nAnswer: -(i - 77)*(i + 1)*(3*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -180. Let s = n + 168. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*q**3 - 44 + 0*q**2 - 28*q**3 - q**2 - 115 - 51*q**3 wrt q.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 + 2) - (-6 + 8) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 904641, 904639, 904637?\n\"Answer: -2*k + 904643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, d: 2, z: 4, a: 5, c: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -2011, -6788, -16097, -31450, -54359?\nAnswer: -86336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 36.7634 millennia?\nAnswer: 3676.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0567? (a) -6\/7 (b) 3\/2 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**13*z)\/(z\/(z\/(z*z**(-16))))*z**(-40)\/z*z\/(z\/z**(-36))*z)**(-2\/9) assuming z is positive.\nAnswer: z**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 117*j**2 + 24*j + 9. Let g(h) = 99*h**2 + 21*h + 8. Calculate 5*g(o) - 4*x(o).\nAnswer: 27*o**2 + 9*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 7. Suppose -12*s = -24*s + 48. Which is the closest to n? (a) s (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1253 - -1253.000003062. Round z to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1144 and 155532?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:19 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1236\/13685 - -2\/595. Let s = -205 - -119. Let g = -86 - s. What is the second smallest value in g, 1\/2, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37955 and -334170.\nAnswer: -372125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 7*o = 109428. Let t be 2\/(-8 - o\/(-1242)). What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2025 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 (-8280)\/(-20) - (1 + 0)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*k**3*t - 1144*k**3 + k*t + 130*k - 2*t + 222 wrt k.\nAnswer: 696*k*t - 6864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -13) + (11 - -2) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6\/7, -0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 times -0.4?\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43538422, 87076841, 130615260, 174153679, 217692098?\n\"Answer: 43538419*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2815589, 3.\nAnswer: -2815589, -61, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 456 - 3?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 p when three letters picked without replacement from spwpyhhhhyhhhwhhwph?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 224460?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)*t*t**(-2\/11))\/(t**(-1)\/t)**35)**(2\/65) assuming t is positive.\nAnswer: t**(305\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8575.95ms in microseconds?\nAnswer: 8575950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 6*z**2 - 9*z + 65. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1755*0.04\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1442, 5891, 13314, 23717, 37106, 53487, 72866, 95249?\n\"Answer: x**3 + 1481*x**2 - x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*((9 - -5) + -13). Let s = 7 + -6. Put 0, r, -2, s in increasing order.\nAnswer: r, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*((-4 + 1*sqrt(99) - -1*sqrt(99)*-2)*-4 + -2))**2.\nAnswer: 7920*sqrt(11) + 43956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, x: 5}. Give prob of sequence xx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32*3\/((-46)\/(207\/(-9)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 111122020?\nAnswer: -111122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 6544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnfy when four letters picked without replacement from {f: 2, s: 1, n: 1, u: 4, y: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 128. Sort 0, -31, f in descending order.\nAnswer: f, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40761666 is divided by 522585?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218\/3 + 74. Let b = -15 - -10. Find the common denominator of 8\/2*(-4)\/b and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -0.5 (c) -5 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -49.1. Let h = -374 + 373.6. Put k, 14, h in decreasing order.\nAnswer: 14, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f*f)\/f)**(-2\/45)\/(f\/(f*f\/(f**1*f*f)*f*f*f))**12 assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -58. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4560 and 46?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - 24\/(-14). Solve -y*m - 2*u = -12, 4*u - 2*u - 22 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**5*z**2 - 3*l**2*z**2 + l*z**2 - 52*l*z + z**2 wrt l.\nAnswer: 160*l**3*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (5 - 5))*3 + -19. Let i be (-135)\/4 + (-6)\/24. Let c = r - i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from eqjjoeaqewqqje?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11001, -11005, -11009?\nAnswer: -11013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*u**3 + 7 - 2 - 13*u + u**4 - 24*u**3 - 40*u**3 in the form g + b*u**3 + t*u**2 + v*u**4 + w*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, 1\/6 in descending order.\nAnswer: 5, 1\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*p + p + 5202, -4*k + 2*p = -5204. Suppose -43 = -5*f + k. Suppose 3*n = 922 + f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -3, -252, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 1, k: 7}. What is prob of picking 2 k and 1 t?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831671350*j + 76*j**3 + 831671350*j.\nAnswer: 76*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3312 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 10, l: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28399)\/(-63) - -8) + 2\/9. Let k = s - 457. Let i(a) = -3*a**2 + a + 4. What is i(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/16 and 770\/(-24)*(-21)\/(-70).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15595.\nAnswer: 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*c + 31 + 4 = 0, 0 = -2*x + c - 29. What is the units digit of 639\/4 - (3 - (-39)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.1 - -26.1. Which is the biggest value? (a) 2 (b) u (c) 0.02 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136300860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*o**3 + 3*c*o**2*t + 4*c*o*t - 49323*o**3*t - 149*o*t - 159 wrt o?\nAnswer: -6*c*o + 6*c*t - 295938*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104.99 - -105. What is the biggest value in 0.5, i, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4032 and 21?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23175588?\nAnswer: 2, 3, 1931299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 9*g**2 - 10*g + 25. Let s be m(8). Suppose 0 = s*a - 14 - 4. What is f in 18*f**a - 7*f**2 + 1 - 12*f**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1298 + 1296.50185. Let c = -0.06 + -1.44. Let k = c - a. Round k to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 90102, 1 in descending order.\nAnswer: 90102, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-532)\/42)*9\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 14*w**6\/15 + 9*w**5\/5 - 167*w**2\/2 + 3*w - 335. Find the first derivative of d(t) wrt t.\nAnswer: 112*t**3 + 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 56*13 - (-200)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58120539 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 202. What is the derivative of -100*r**2 + 116 - r**3 + 127*r**o - r + r wrt r?\nAnswer: -3*r**2 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let x(s) = 26*s. What is t(x(b))?\nAnswer: 1352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210308\/29)\/(-148) + (-22)\/(-1 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*p - 1928 - 6339 = 6667 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g**(1\/5)\/g)\/g*g*g)*g**(1\/30)*g*g*((g**(-1\/11)*g)\/g)**(19\/5) assuming g is positive.\nAnswer: g**(1151\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:52 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**2 + 26*i - 81. Let b(s) = -s**2 - 9. Let n(h) = 9*b(h) - l(h). Let p(j) = 23*j**2. Calculate n(p(f)).\nAnswer: 529*f**4 - 598*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(12\/(-2))*(-2)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -1\/4, 5.77, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -298, -618, -1004, -1462, -1998, -2618?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8 + (27\/2 - 1). Let o be ((g\/5)\/2)\/((-48)\/(-840)). Suppose 4*w = 5*s - 3, 2*s = -4*w - w + o. Solve 0 = -3*j + n + 2*n - s, 4*n - 16 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19 - 175*c - 39 - 13 + 10 + 2*c wrt c?\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**3 - 4*r**2 - 6. Let d = 9262 - 9256. Let l(k) = k**2 - k**3 + 4 + 1 - 4. Calculate d*l(v) + x(v).\nAnswer: 3*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waw when three letters picked without replacement from wwwwvrwrwvaw.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 46*a - 12. What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*21\/210*3*(0 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886774 is divided by 73890?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2510 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 49. Let a be s(-15). Suppose 12 = 5*l + a*o - 1, 5*l + 1 = 3*o. Solve l = r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {k: 6, l: 12}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 59 + 1359. Suppose 0 = -27*o + 26*o + b. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7194868 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.34 - 6.8. Which is the closest to p? (a) -1\/3 (b) 2\/21 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17140573*i**2 - i - 135027219?\nAnswer: 34281146*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31*c**2. Let v(j) be the third derivative of 11*j**4\/8 + j**3\/2 + j**2 - 11*j - 35. What is i(v(h))?\nAnswer: -33759*h**2 - 6138*h - 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-3) - 1) + 4. Suppose 2*p + 3*q + 5 = 0, 4*q = -t*p - 6 - 0. Sort -4, p, 3.\nAnswer: -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6507, 6513, 6523, 6537, 6555, 6577?\nAnswer: 6603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -w + 3*w + 9, -h - 5*w = -3. Suppose -x + h*o - 6*o = -5, 2*x - 9 = -5*o. Solve 0 = x*c + 2*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 681758900*d**2 - 497472131?\nAnswer: 1363517800*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10*g + 32 = 0. Suppose 3*m = g*k + 3, -3 = m - 5*k + 7. Solve 2*z = -4*u, 8*u - 4*u + 14 = m*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n - 1014. Let u(q) = -2*q + 7. What is v(u(j))?\nAnswer: -4*j**2 + 24*j - 1049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -357, -726, -1095, -1464, -1833, -2202?\n\"Answer: -369*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13121071*x. Let v(r) = -20*r**2. Give v(o(i)).\nAnswer: -3443250083740820*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(36)\/sqrt(2) - sqrt(18))*1)\/(sqrt(900) - sqrt(900)*-1))**2 + 1.\nAnswer: 201\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, 1 e, and 1 d when four letters picked without replacement from drneh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 25*y + 2331. Calculate u(-94).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(209)*-6 - sqrt(209))\/((sqrt(99) - (sqrt(99) - 2*sqrt(99)))\/sqrt(9)).\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, x: 7}. What is prob of picking 2 a and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 37 (b) 0.1 (c) -0.5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + -1 + 3 + sqrt(17))**2.\nAnswer: -72 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23856 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from iiipppii.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -29*m**2 + m - 2. Let b(u) = 86*u**2 - 2*u + 5. Determine -8*a(q) - 3*b(q).\nAnswer: -26*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxn when three letters picked without replacement from nnnnnysnxxxnyx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154676 - 52291. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 - 1136*d - 4608 = 0.\nAnswer: -4, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose -3*d = 3*r - 6, 0 = 3*d - o*r + 4*r - 4. Is -83 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - u = -14*f + 1, 0 = -2*f + 2*u + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 11. Let d be h(7). Sort d, -5, 3, -9 in descending order.\nAnswer: d, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-17)\/4 + 4). Suppose -3*v = 6, 0*n - d*n - 2 = 5*v. Which is the nearest to -2\/7? (a) -4 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -781*n**4 + 788*n**4 + 7*n - n + (2 + 2 - 2)*(2*n**4 + 4 - 4) - 3*n**4 - n**4 + 2*n**4 + 3*n**3 - 3*n**3 - n**4.\nAnswer: 8*n**4 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10) - 4346205\/(-525) - (-22)\/(-77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6090 and 7367769.\nAnswer: 515743830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (0 + (2 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:29 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2178)*-1*-2)\/(sqrt(36)\/(sqrt(576)*-2)) + -5.\nAnswer: -528*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181463472.\nAnswer: 2, 3, 1260163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 2. Suppose 0 = 5*u - c - 3 + 20, 0 = 5*u + 2*c + 26. Let z(k) = 2 - 3 + 4*k - 3*k. Let w be z(u). Let n(i) = 4*i - 3. What is w*a(q) - 4*n(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojo when four letters picked without replacement from uuiojijujjuuujccuo.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 10, 5*x - 7*x = -4*n + 1130. Let a be (-6 - -9) + (-1426)\/n + 2. Let r = a + -2222\/285. Find the common denominator of r and -47\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*d + j, 0*d + 2*j + 7 = d. Let o = 155 - 152. Calculate the highest common divisor of o and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -27, -82, -193?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 28044.\nAnswer: 2720268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 5*l + 3*l)*(3*l**2 - 2*l**2 - 3*l**2) + (0 + 1 + 0)*(4 - 3 - 2)*(0 - 4 + 1)*(4*l**3 - 3*l**3 - 3*l**3) - 410 - 190*l**3 + 410.\nAnswer: -198*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:45 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1377)*-2)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -83. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**4\/(m**(3\/2)*m\/(m\/(m**(-1\/4)\/m))) assuming m is positive.\nAnswer: m**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 4 - 85 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (1 + 10)\/1. Suppose 3*x - 5*w - 5 - 11 = 0, x - 2*w - 4 = 0. Differentiate 0*k + x*k - m + 2*k + 8*k with respect to k.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*(2 + -21) + -2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6318715 divided by -2371\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b + 87 = 0. Suppose 9 = 2*n - b. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/30)\/(85\/(-51)) + 82\/(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -44*t**3 - 3*t**2 - 5*t - 1. Determine b(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 - (1 + -6). Find the common denominator of (-11)\/(-2)*8\/i and (12\/(-30))\/(16\/(-950)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 47, 109, 157, 167?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 11*c**3 - 10*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 22*g**2 + 33*g + 4. What is z(-20)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275 or 346?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 27 = -3*j, -d = -j - 4*d + 1. Suppose j*a - 4666 - 1662 = 0. Suppose -a = -4*r - 4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 10. Let b(u) = 7*u**2 + 4*u**3 - 3*u**3 - u + 11*u - 6 - l*u**3. What is the tens digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 133.52. What is n rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-2)\/8)*9 and (-3 + 6)\/15*(-15)\/(-66).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 417 = -417. Let k(q) be the second derivative of 0 + 7\/10*q**5 + 7\/6*q**4 + l*q**2 + 4*q + 0*q**3. What is the third derivative of k(x) wrt x?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638522 is divided by 319199?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -64. Suppose 2*c + 14 - v = 0. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w**4 + 0*w**4 - 9*w**4 + w**4 + (2*w**3 + w**3 + 2*w**3)*(w - 3*w + 0*w).\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*k - 1. Let s(o) = o - 4. Let g be s(4). Put -4, g, k in increasing order.\nAnswer: -4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20900*p + 28*p**2 - 20906*p + 41809*p.\nAnswer: 28*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -594660 divided by -2\nAnswer: 297330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**3 - p**2 - 7*p + 4. Let j be i(2). Let n = j - 38. What is the least common multiple of 44 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1936400 to the nearest ten thousand.\nAnswer: 1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 40004?\nAnswer: -34423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10031 (base 5) in base 3?\nAnswer: 212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02413676 times 0.5?\nAnswer: -0.01206838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313 - -352. Suppose 18*x - 5*x = v. Suppose 0 = -5*o + 4*a + 25, -2*a + 19 = -o + 2*o. What is the least common multiple of x and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 22. Let p(b) = 6*b + 2. Is 7 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32502*p + 2470167. What is z(-76)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 374321 (base 9) to base 11\nAnswer: 144a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35221500 and -25?\nAnswer: -880537500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 171. Let m = -1.18 - -1.28. Which is the nearest to 1? (a) 5\/3 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:50 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 279 (c) 6 (d) 0.1 (e) -0.48 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -194 and 139?\nAnswer: -26966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15900, -15914, -15938, -15972, -16016, -16070?\n\"Answer: -5*d**2 + d - 15896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b039 - 112?\nAnswer: -25b14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/27*-3). Let c(j) = j**3 - 10*j**2 + 7*j + 9. Let u be c(v). Let o(y) = -y**2 - 9*y + 2. What are the prime factors of o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {s: 1, x: 1, o: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = 5*k - 26, 5*k = -5*m + 70. Let z = 11 - m. Which is the nearest to z? (a) -3\/8 (b) -4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziizirzizzrrrirzrrr. Give prob of picking 1 i and 2 r.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v - 4*d = -34*v + 35, 4*v + 5*d + 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ssgnsbnnbsbnisnni.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:06 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (8 + 13 + -33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-88))\/((-1425)\/(-1520))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5460 = 5345 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 33*k + 93. Let q be x(-7). Solve -2*w + 2 = 6*y - q*y, -8 = 5*y - w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -40, 1\/9, -2, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from borioibmvbvvbvmbbo. What is prob of sequence bvb?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*z - 10*z + 6*z + 10*z to the form i*z + y and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 - v**5\/4 + 3*v**4\/2 + 2*v**3 - 31*v**2 + 2. What is the least common multiple of f(12) and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-63))\/(2\/(-4)). What is z in -z**5 - g + 4\/3*z**3 - 1\/3*z - 4\/3*z**4 + 2*z**2 = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 54?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s - 4. Suppose 3*z - 14 = 2*q - z, -15 = -3*z. Let o be v(q). Which is the biggest value? (a) -2\/3 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 142, -15, 2 in descending order.\nAnswer: 142, 2, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3963 + 1.6037. Which is bigger: g or -352?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*y + i - 24, 0 = -y - 2*i + 20. Calculate the remainder when 81 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:54 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -10*k + 30. Let t be 17\/k*(-13 + 7). Let j be (53 - 42) + -2 + 0 + -1. Solve -4*a = -i - t, -a - 3 = -j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011011101101100011101 - -101?\nAnswer: 10001011011101101100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78) + sqrt(78))*4)\/((-2*sqrt(36))\/sqrt(6)) + -3.\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 212 = -3*m. Calculate the remainder when m is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -383*r**2 + 1. Let q(j) = 47*j**2. What is q(c(f))?\nAnswer: 6894383*f**4 - 36002*f**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 81. Is (1 - 4 - (-47)\/h)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 255288 and 13540?\nAnswer: 864149880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/240)\/((-4)\/(-16))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:20 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*j + 2*a**3*o + 2*a**2*j + a**2*o - 11*a - 8*j*o wrt j.\nAnswer: -a**3 + 2*a**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*n - 7*n**2 - 10*n**2 - 58*n wrt n?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -31*h**4 - 669*h**3 - 323*h**2 + 5*h. Let y(l) = 14*l**4 + 334*l**3 + 162*l**2 - 2*l. Let j(w) = -2*a(w) - 5*y(w). Factor j(v).\nAnswer: -4*v**2*(v + 41)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 + 7*x**3\/6 + 9*x**2 - 2*x - 5. Does 4 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95725 = 157*x - 158*x. Let u = x - 37556. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -68. Let a(b) = -2*b**2 + 8*b. Let c be a(p). Solve -3*y + 4*y = -5*f - 1, c = -2*f + y - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -5 (c) -0.5667 (d) -2\/3 (e) -0.09 (f) 139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -7. What is the remainder when 43 is divided by (n - -17)*1\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1788, -11\/31 in decreasing order.\nAnswer: 5, -11\/31, -1788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(325) - sqrt(325))*5)**2 - (sqrt(13) + 4*(sqrt(13) - -2*sqrt(13)) - (0 + sqrt(13) + -1))**2.\nAnswer: -24*sqrt(13) + 981252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 60\/45)\/((-1)\/15) + -195. Are y and -185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 784 or -678?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -10. Find w such that -4*w**h + 4*w**3 + 8*w**2 - 6*w**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 644*f - 4. Let l(c) = -35*c**2. Determine b(l(g)).\nAnswer: -22540*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/90 + c**4\/18 + 8*c**3\/9 - 27*c**2. Suppose d(s) = 0. What is s?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 31*d - 5650. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 4. What is the smallest common multiple of 14 and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0486 - 23.3486. Let n = -23.2997474 - l. Round n to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 8 - -3)\/(3\/4). Let v = 0.4 - -0.1. Let m = 10 + -14. Which is the third smallest value? (a) v (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*b**3 + 54310*b**2 - 69875*b + 15530.\nAnswer: 5*(b - 1)*(b + 1553)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 + 39 = 0. Suppose 2*k - 42 = -4*y + m, -y = 2*k - 28. What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, i: 5}. Give prob of picking 1 f and 1 i.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:02 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -1320221?\nAnswer: 1320413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 0 (b) 607 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d**2 + 2*d - 61. Is h(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let k(h) = -3*h**2 - 3*h. Let f(d) = 3*d**2 + 2*d - 3*d + 5*d. Give w*f(s) + 4*k(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4.7 (b) 0.4 (c) -18\/31 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - 2) + -10 + -7 - -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 2. Let l = i + 17. Let d(h) = h**3 - 4*h**2 - 3*h - 5. Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5691 - 5686. Solve -5*b - 10 = -r*f, -f + 0*f = -3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528952.\nAnswer: 2, 37, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)*o\/((o**(-1\/7)\/o)\/o)*o)**(-47) assuming o is positive.\nAnswer: o**(-14335\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/4 + (-123)\/12 and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from {p: 7, s: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12010120101 (base 3) to base 12.\nAnswer: -4a561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 2*x - 3. Let a(b) = -5*b**3 - 15*b**2 - 11*b - 16. What is 2*a(m) - 11*s(m)?\nAnswer: m**3 + 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -122. Suppose 3*f = 5*s + 22, -3*f - 3 + 10 = -2*s. Sort 5, x, f in increasing order.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(3125\/500)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -64)*((-399)\/741 - 4\/(-104))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -27*l - 12. Let t be s(-2). Suppose -3*f + 114 = t. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*(-2)\/(-14)*1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 6. Let h be w(-6). Let k(f) = f**3 - 5*f**2 + 4*f. Let x be k(5). Let b be (x\/6)\/(10\/15). Solve -b*d + 4*v + h = 0, 2*d + 2*v = 4*v + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2668 + 4919. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66271*r**4 + 2*r**3 + 14039*r.\nAnswer: -795252*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -3, -1.3, -27, 0.9, 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105705 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-88 - -2)\/(-15*50\/375)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/16 - (-21)\/(-28). Suppose 0*z = -2*k + z + 317, -v*k + 488 = z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/442 + 14993\/754?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**2. Let z(w) = -3*w - 2*w + 9*w - 2*w. What is y(z(s))?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 0*i + i - 3*i to the form w + z*i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 2673.\nAnswer: 2673.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -33*n**3 + 3*n**2 - 12*n + 11. Give k(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 582384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*k + 0)*(12*k**2 + 76*k**2 + 11*k**2) - 1 + k**3 + 1 + (-k - 4 + 4)*(1 - 1 + k**2) - 4*k**3 + 2*k**3 + k**3 + (-2*k**3 + 5*k - 5*k)*(-2 + 3 - 3).\nAnswer: -294*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1349456, 1348443, 1347432, 1346423, 1345416, 1344411, 1343408?\n\"Answer: n**2 - 1016*n + 1350471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2555388 and 75524?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3)*-3 + -1.\nAnswer: -9*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1018875 and 147250.\nAnswer: 63170250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/((-3)\/15). Let z be (y\/2)\/(3\/(-2)). Find the third derivative of 2*o**z - o**4 + 0*o**4 - 6*o + 6*o wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 124?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7174028*y**2 + 11038295 with respect to y.\nAnswer: -14348056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.541.\nAnswer: -2.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -5, 0.1, -0.17.\nAnswer: -5, -0.17, 0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -399 (base 10) to base 2\nAnswer: -110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - sqrt(119)*-2)*-2)\/(sqrt(7) + 2*sqrt(7)*4))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 70*y - 34 = 23*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 37 - 25. Suppose m + 106 = q*a - 80, a - 46 = -5*m. Let o = 358 + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2757697 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*c + 16 = 0, -h = -2*c + 5 - 11. Suppose -4*n + 3*d = -0 - 1, h = 2*d. Let s = 3 + 2. Put n, -10, s in decreasing order.\nAnswer: s, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2 - 11*n**2 + 7*n**2. Let w(o) = 2*o. What is f(w(v))?\nAnswer: -88*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116479 - 116476. Let y(a) = a**3 - 4*a**2 + 2*a + 3. Let l be y(3). Solve l = -4*j + w*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-seven fifths of a microgram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(-19*g - 18*g + 18*g + (3 - 2 + 1)*(4 - 4 + g)).\nAnswer: -51*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*z - 4*i, 4*z - 2*i = -3*i + 133. Let q be z\/18 + -3 - -1. Is 1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35150?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 1. What is the units digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2 - 1 + 2)*(403*h + 38*h**2 - 403*h) + 8*h**2 - 2*h**2 + 17*h**2 + (-2*h + 2*h + h**2)*(4 - 4 + 1).\nAnswer: -52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 8531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2853856 or -2853852?\nAnswer: -2853856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11589 + -11584. Let z = -1.54 - -1.3. What is the closest to 0 in -0.2, s, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -278*f**2 + 599*f**2 + 137 - 322*f**2 + (0*f - f + 2*f)*(4 - 6*f - 4).\nAnswer: -7*f**2 + 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 749906737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -185 * -0.2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/77)\/(-3*(-3 - 917\/(-294))). Let a = 3.1 + -0.1. What is the biggest value in a, -16\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -121b0?\nAnswer: -121b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 3450888*p**3 - 31756334401005*p**2\/2 + 24352763160459592150*p + 292233729539907019875\/4.\nAnswer: -(p - 4601185)**3*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*4\/(-3072)*-6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*r)*(-5*r**2 + 0 + 3*r**2 + r - 3).\nAnswer: 4*r**3 - 2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120891.5631 microseconds in weeks?\nAnswer: 0.00000019988684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 20*c + 88. Give h(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7.1 (b) 22.0031 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 3*d**4 - 3*d**4 + (2 + 2*d + 3*d - 6*d)*(9*d**3 + 6*d**2 - 6*d**2) to the form u*d**4 + a*d**3 + z*d + t + r*d**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319722.5 kilograms to tonnes.\nAnswer: 319.7225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 + 152*d**2\/15 + 1176*d\/5 + 1728.\nAnswer: 2*(d + 18)**2*(d + 40)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 253. Let r = -240.5 - s. Which is the closest to 2\/7? (a) r (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 6 = -12*k, 3*q + 5*k = 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.262481 times -719?\nAnswer: 188.723839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171163387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + -99201\nAnswer: -99200.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/5, 1\/4, -3274, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114819 and -4.\nAnswer: 459276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 + q**2)*(-q**2 + 0*q**2 + 0*q**2 + (0 + 0 - q)*(-q + 3*q - q) - 17*q + 17*q - 6*q**2).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 59141 - 25*c**2 - 59141. Let r(g) = -44*g**2 - 3. What is r(y(k))?\nAnswer: -27500*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/129 + 383\/258. Suppose -54*q = -60*q + 2184. Let y = -375 + q. Which is the third biggest value? (a) -0.4 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-12)\/3) + 104\/(-88)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6682, -6749, -6910, -7213, -7706, -8437, -9454?\nAnswer: -10805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -729b70?\nAnswer: 729b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298296 and 6003207.\nAnswer: 48025656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**4\/3 + 2*n**2 + n - 7. Let z(s) be the first derivative of r(s). Differentiate z(i) wrt i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/150 and 403\/(-117) + ((-32)\/18 - -2).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/1 - (85 - 24). Sort 0, h, -3, -2 in decreasing order.\nAnswer: 0, -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 9*s**2 - 7*s + 14. Let v be y(-8). Find the third derivative of -11*i**4 - 2*i**3 + 2*i**4 - 2*i**3 + v*i**3 + 2*i**3 - 170*i**2 wrt i.\nAnswer: -216*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 139 - 23 - (-1 - -1). Suppose -m + s = 4*u, -3*u - m = 4*m - 70. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 996 or 933?\nAnswer: 996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + (1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 425 = 5*r, 5*r = -3*b + 239 + 16. Suppose -h + b = l + 4*h, -2*h + 242 = 3*l. Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.973403 years?\nAnswer: 0.000973403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 9*t = 192. Solve -z = 3*z + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784107 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 686530776*r**3 - 134*r**2 + 15*r - 25260.\nAnswer: 4119184656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 1636*n**2 - 341010*n + 2624400 = 0 for n.\nAnswer: 8, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeehhehhehh. What is prob of picking 4 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27727 + 27750. Suppose 4*h - 2*h + 2 = 0. Sort 1, h, x.\nAnswer: h, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -6. Suppose -4*k = k + 3*o - 120, k - 3*o = p. What is the remainder when 118 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1022 and -69\/2657200?\nAnswer: 2657200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -17 (b) -5 (c) 3 (d) -65 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8942, 34978, 78112, 138344?\nAnswer: 215674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 5*c**2 - 5*c + 11. Let d(p) = 4*p**3 + 7*p**2 + 7*p - 16. Let q be (-42)\/4*(-30)\/405*-9. What is q*u(h) - 5*d(h)?\nAnswer: h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17292439 or -17292390?\nAnswer: -17292439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/13 in -2\/9, 2\/7, 2\/5, 5, -72.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 75 - 8 + k + 42 - 9 in the form w + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*i + d + 2*d, -i - 4*d + 11 = 0. Let b be ((6 + 2)\/4 - i) + 664. Suppose -9*r - 82 + b = 0. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -125, -307, -583, -965?\n\"Answer: -2*j**3 - 29*j**2 + j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 674944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -5, -17, 2, -436 in ascending order.\nAnswer: -436, -17, -5, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -22, 7, 60?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2060 + -1445. List the prime factors of v.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359986645?\nAnswer: 5, 163, 199, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 + -4)**2 + sqrt(40)\/sqrt(72))*-6*-2.\nAnswer: -68*sqrt(5) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157\/295 + 4\/59. What is the nearest to q in 3, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 54 - 4 + 58.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -0.2 (c) -10 (d) 0.52 (e) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123646 divided by 1.\nAnswer: 123646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -1.1. Let k = q + 0.1. Let r = 0.1 - 1.1. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/3 - (1 + 0). Suppose 3*d = u*q, 4*d = -4*q + 11 + 9. Suppose -3*w + w = 2*c - 48, -4*c = -d*w - 90. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/12 + 4 - 762\/96*-4. Solve -25 = -4*w + 9*w, 0 = -3*a - 5*w - u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*m + 73, 6 = 4*d + 2*m + 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 30. Let y be i(6). Let k(p) be the third derivative of p**2 - 1\/480*p**6 + 0*p**5 + y*p + 1\/96*p**4 + 0*p**3 + 0. Factor k(h).\nAnswer: -h*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.276 and -13301.\nAnswer: 269691.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/98)\/(((-90)\/(-4725))\/((-3)\/(-3)))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)*g*g**2*g*(g*g\/(g*g**(2\/5)\/g))**(2\/5))**(2\/5) assuming g is positive.\nAnswer: g**(-418\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -112*h - 392. What is the smallest common multiple of j(-5) and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.073? (a) 1\/5 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17500 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -5*r**3\/3 + 15*r**2 - 29. Suppose m(b) = 0. Calculate b.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 6. Suppose 20 = 5*g - 10. Let i be s(g). Let m be (-25)\/8 + 2 + i. Do m and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3263 - -3963. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 130748.8367.\nAnswer: 130748.3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2376244*d**5 + 158*d**3 + 108859829*d**2 wrt d?\nAnswer: 142574640*d**2 + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 0*x**2 + 5*x**2)*(16*x - 16*x + 2*x**2).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61320630 and 1605?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0 - 2 + 4)*(46*g + 80725 - 80725)*(4*g**2 - 5*g**2 - g**2).\nAnswer: 184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -635 or -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311*s + 523*s - 323*s - 12*s**4)*(2*s + 2*s - 2*s).\nAnswer: -24*s**5 - 222*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 78678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)*15\/(-3). Let f be (3\/(6\/4))\/5. Put 1\/2, h, f in ascending order.\nAnswer: h, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6750*a - 3607*a - 3598*a + 17745 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*n + 5925, 88*g - 83*g - 9877 = -4*n. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 3. Calculate c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.593287 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30758 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022112 - 0?\nAnswer: 101022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46875615 to 4 decimal places.\nAnswer: -0.4688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - -4) + (2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = 2*r, 0 = -5*y + 5*r + 44 - 9. Let t = 72 - 41. What is the remainder when t is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*x - 10. Solve 0 = 4*b - a, 2*a + x = -b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 1. Let t(y) = 8*y + 1. Let p(o) = t(o) - z(o). Let w(q) be the second derivative of -7*q**3\/6 - 1848*q - 5. Determine p(w(h)).\nAnswer: -49*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187846820 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 45*k**5 + 7*k**3 - 362*k**2 - 7. Let r(v) = -v**5 - v**3 - v**2 + 1. Let z(o) = 14*r(o) + 2*t(o). Find the third derivative of z(c) wrt c.\nAnswer: 4560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 710?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1377) + sqrt(1377) + -3*sqrt(1377) + sqrt(1377) + 0 + 1*(sqrt(1377) + -1))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by (357\/(-4))\/(-27 - 107\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1757 + -1757.0000019265. Round k to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -0*g. Let h be g\/(-2) + 18\/(-4). Let q be (h\/3)\/((-1)\/21). Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 1, v: 1, e: 1, z: 1}. Give prob of sequence kav.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 18 = -4*c, 118*w - 115*w + 31 = -7*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1106*t**3 + 27*t**2 + 76*t - 2. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 490 + -490. Suppose 18789 = -5*x - 2*a - v*a, 5*a = -10. What is x rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 48 = -46. Let p = m + 5. Solve -3*d + p = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 365 - 989 = 21*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7*v = -0*v - 10*v. Let c(r) = r**3 + 5*r**2 - 7*r - 4. Let m be c(-6). Solve -m*g - 3*g = v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2771*h**3 - 18*h**2 - 7*h + 29. Let c(y) = -5543*y**3 + 33*y**2 + 13*y - 53. Give 6*c(z) + 11*t(z).\nAnswer: -2777*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7.9, 2\/9, -57104 in decreasing order.\nAnswer: 7.9, 2\/9, -4, -57104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87507832?\nAnswer: 2, 541, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((sqrt(80) - sqrt(80)*-3)\/sqrt(10)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Suppose -3*m + 1900 = m. Suppose -5*w + m = 4*p, 4*w + 4*p - 190 = 2*w. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 9. Let w = s - -7. Let v = 2 - 2. Put v, w, -0.1 in decreasing order.\nAnswer: w, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwnnnninnnnnnwnnnnn. Give prob of picking 2 w.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 40 + 7*f**3 - 6*f**3 - 7*f**2 - 7*f**3 + 13*f + 5*f**3. Let s be b(-8). Sort 5, 9, s in ascending order.\nAnswer: s, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 161237 - 161237. Let w(m) = -123*m**2 + m. What is w(l(n))?\nAnswer: -1968*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 - 7 + 59 - f**2 + 3*f - 4*f.\nAnswer: -(f - 5)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2286*h**3 - h**2 - 2*h - 1. Does 86 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157.856213 and -0.1.\nAnswer: 15.7856213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 221*x + 46. Let q be d(2). Find the third derivative of q*s**2 + 478*s**2 - 974*s**2 - 121*s**5 - s + 2*s wrt s.\nAnswer: -7260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 14*s + 16. Let h(l) = l**2 - 13*l + 7. Let a be h(13). What are the prime factors of p(a)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17) + 0 - sqrt(102)\/(-3*sqrt(6)).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756 (base 8) to base 15.\nAnswer: 22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 3153?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15510885139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 1, 42, 3 in descending order.\nAnswer: 42, 3, 1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/3))\/v*v*v)**21)**(-31) assuming v is positive.\nAnswer: v**(-868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)*-107 + -2. Let i = c + -35. What is the common denominator of -19\/4 and (i\/(-8))\/((-12)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*u - 77, -g = -2*u - 2*u + 101. Let m = g - -94. Solve m*n = -3*y + 40, 0 = 3*n - 0*n + y - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**(-4\/9)\/o)\/((o*o*o**(-9)*o)\/((o*(o\/o**(-1\/4)*o)\/o)\/o))*((o\/(o**3\/o*o))**(-10\/9))**(-11) assuming o is positive.\nAnswer: o**(-815\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*n + 26, -4*x + 0*n + 20 = -2*n. Let i be (-2491)\/(-106) + (4\/(-2))\/x. Suppose 17 = -6*b + i. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 16968980.\nAnswer: 186658780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907.4399m to millimeters.\nAnswer: 907439.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/12903 and -101\/2618.\nAnswer: 180642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.1. Let h = 0.2 + 0.3. Let l = 3.5 - h. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -7\/4, 4.564, 0, -120?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, y: 2}. Give prob of picking 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 15*b + 160 - 69 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 237830, 237837, 237852, 237875?\n\"Answer: 4*i**2 - 5*i + 237831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1 - 15*z - 3 + 3 + 3. Let v be f(-3). Suppose -510 = -5*c - 5*m, 3*c + 2*m + v = 351. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8515029 is divided by 422?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254022 is divided by 867?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 + 2 + -4. Let o be (s\/(-18))\/(30\/2988639). Let p = -11073 - o. Find the common denominator of p and -7\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u = 94*u + 6512 + 6111 - 2249 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -6, 5*k = 4*s + 380. Factor 0*z + 118*z**2 - 28 - k*z - 106*z**2.\nAnswer: 4*(z - 7)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660061737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/24 + -19\/24. Put l, 0.1, 6, 0.4 in decreasing order.\nAnswer: 6, 0.4, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*23.87614\nAnswer: -66.853192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 334516, 336579, 338642, 340705, 342768, 344831?\n\"Answer: 2063*w + 332453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -78?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.7596 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Suppose -5*m + 12 = 4*f, a*m + 2*f - 8 = -0. What is the least common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 107.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z - 1233. Let r be h(176). Which is the nearest to 2? (a) 3 (b) -20 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:21 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {l: 1, d: 3, b: 1, s: 1, v: 4, g: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33195329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 27\/28)\/1*(40 - 36). What is the nearest to o in -2\/7, -0.5, 0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287887309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 7*d**2 + 8. Let g be z(-7). Solve 3*w = 6, -23 = -t - 5*w - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 143 = -3*k + 4*o, 4*k = 2*o + 186. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2 - b. Let h(p) = 3*p**2 - 3*p. Calculate -h(c) + j(c).\nAnswer: -c**3 - 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2758 + 4558. Is 60 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.242cm in kilometers?\nAnswer: 0.00808242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 122*l + 1298. Let y be p(-13). Is y != -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 4 = 0. Let g be 2*(-1 - (-9)\/6). Let k = -133\/870 - 2\/145. Which is the nearest to 2\/5? (a) t (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*o + 26 = 8, 0 = 4*o. What is the highest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6045302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/2 - -2) + 5 + -1. Let o(i) = -4*i + 8. Let d be o(a). Suppose 7 = -5*y - 8. Put y, d, 4, -4 in descending order.\nAnswer: 4, d, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*r + 86436 - 561*r + 3*r**2 - 528*r + r**2 + 89*r.\nAnswer: 4*(r - 147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080266 rounded to 5 dps?\nAnswer: -0.00803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18.393 * 1\nAnswer: -18.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - j + 61 = 0, 4*j + 46 - 2 = 2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -0.5 (c) -15 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235.4861 to the nearest integer.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/33*9\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7882774, 7882772, 7882770, 7882768, 7882766, 7882764?\nAnswer: 7882762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 252\/49 + (-1)\/7. Suppose v - 6 = -n + 3*v, -n = z*v - 6. Let y = 9 - n. What is the greatest common divisor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585424560 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p - 392*p**3 + 390*p**3 + 9*p + 32*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 2287, 5221, 9331, 14617?\nAnswer: 21079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:36 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -847 + 841. Let s = -7 + 5. Let r(t) = 2. Let p(m) = 43 - 2*m + 3*m - 51. Calculate k*r(z) + s*p(z).\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 647129, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310 - 407. Let a = -704 - h. Is 6 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -4*1)*(218 + -106 + -123).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2899 - -1361. Let s = -2946 + w. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(2\/5)\/y))*y*y**(-1\/9))\/(((y*y**(1\/12))\/y)\/y**(1\/5)))\/(((y**8\/y)\/y**(-1))\/(y*(y*y\/(y**(-1\/4)\/y*y)*y)\/y*y**(-6\/5))) assuming y is positive.\nAnswer: y**(-499\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.066 meters in millimeters?\nAnswer: 604066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*4 - sqrt(4))\/(sqrt(12)\/(sqrt(12)\/sqrt(2))).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16006 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222955 is divided by 6938?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -371, -595, -851, -1151?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13214, -26425, -39636, -52847, -66058?\nAnswer: -79269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2177253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*u + 744 + 873. Calculate the greatest common factor of 33 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -6, -1, -4\/3, -1\/3, -8\/33, -1002?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let c be 140*(-3)\/(-4)*-1. Let z be (c\/6)\/(-7) - 4. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 3*q - 9. List the prime factors of g(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 33 = 3*n + 3, 2*n = 3*d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -353, -692, -1019, -1328, -1613, -1868?\n\"Answer: m**3 - 346*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*o + 7. Suppose -o*f + 76 = f. Let g(b) = b**2 + 3*b - 4. Calculate the remainder when g(5) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216698 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**8\/588 + 11*d**6\/840 - 3*d**5\/140 + d**4\/84 + 7*d**2. What is p in v(p) = 0?\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11081795 is divided by 2442.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/((s\/s**(-7\/4))\/s)*s\/((s*s*s**(3\/7)\/s*s)\/s)*s assuming s is positive.\nAnswer: s**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4)*p)\/p*p*p**(-4)*p**(-1\/3)\/p**(-2\/3))\/((p\/(((p*(p**(-1\/4)\/p)\/p)\/p*p*p)\/p))**(-7\/5)*p\/p**(-1\/4)*p*p**(-5\/2)) assuming p is positive.\nAnswer: p**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 169*l. Let j(v) = -21*v. What is r(j(z))?\nAnswer: -3549*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - i - 16 - i**3 + 0*i + 9 in the form p*i + u*i**3 + n + q*i**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 135*q**2 - 755*q + 2468. Determine b(-129).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21a9 + -5bb?\nAnswer: 1add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5870\/587*(3 + 14)\/(1*-5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143.009 times 4?\nAnswer: 12572.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*y = 8 + 5, -2*y + 1 = 3*o. Sort 0.1, -0.1, o in descending order.\nAnswer: 0.1, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 32373112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28797 divided by -46\nAnswer: 28797\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 18. Let p be b(13). Let u(r) = 7*r + 18. Let x(z) = z + 1. Let s(i) = u(i) - 6*x(i). What is the units digit of s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2. Let k(s) = -s**2 - s. What is i(j) - 5*k(j)?\nAnswer: -j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3373500 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 66*n**3 + 16*n**2 - 1456*n + 16. Let m(b) = -22*b**3 - 6*b**2 + 486*b - 6. Let d(u) = 3*j(u) + 8*m(u). Find the second derivative of d(f) wrt f.\nAnswer: 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 79.07383 centimeters?\nAnswer: 0.7907383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190263292 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) + (-240)\/594. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -4*h**2 + 0*h - 1\/660*h**6 + 0 + 1\/132*h**4 + 0*h**3 + 0*h**5. Solve i(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s - 5*g + 3 + 1, -42*s = 2*g - 41 - 89 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0 + 0*l**2 - 7\/6*l**4 + 50*l + 51\/2*l**3. What is the second derivative of v(q) wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/29, 1, 4, -0.4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-169)\/26)\/(-13))\/(-11)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4\/9, 0.06, -0.01, 1, -560, -2\/25?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**4 - 1\/140*l**7 + 0*l**3 - 1\/240*l**6 + 10*l + 0 - 4*l**2 - 1\/336*l**8 + 0*l**5. Let s(y) = 0. What is y?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(20\/3)*a**18 assuming a is positive.\nAnswer: a**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123805?\nAnswer: 5, 11, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4459 is divided by 556.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/90 and -109\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/9)\/(r*r**(2\/17))*(r**(1\/4))**(-6))**(-3))**(-1\/87) assuming r is positive.\nAnswer: r**(-937\/8874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8383303 or 8383331?\nAnswer: 8383331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 27*n - 30*n = 19, 3*x - 43 = 2*n. Solve 5*s = 2*q - 20, -2*q + x = s + q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23046\/(-2004)*2*-1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - 51*g + 3180 = 0. Calculate the greatest common factor of 53 and g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308 + 1158. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4096.135 minutes to seconds.\nAnswer: 245768.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 2, 4, -2\/335?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*r**3 + 16*r - 255208?\nAnswer: 36*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787751401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 421501 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(128\/(-12))\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2. Let s(p) be the second derivative of 23*p**3\/6 - 9*p + 3. Determine s(y(q)).\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - s**3 - 4*s**2 - 2 - s**2 + s. Let c be i(-5). What is the units digit of c*(-2)\/(-4) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 7*x**2 - 8 + 2*x**2 - 5*x**2 + 9*x**3 - 12*x**3. Find the second derivative of l(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/11, -22, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188927\/71 - -2661. Let h = g - -485\/213. Factor -h*o - 2 - 1\/3*o**2.\nAnswer: -(o + 1)*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 12:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 719\nAnswer: -2\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72163595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = 11. Let r(a) = -a + 2. Let c(y) = -y + 2. Let s(h) = -4*c(h) + 3*r(h). Determine s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5*g - 1\/2*g**2.\nAnswer: -g*(g + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and -27\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 + 20*q + 6. Let d be y(-5). Solve 2*j - d = 2*f, -5*f = j + 4*j - 35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 974, 1437, 1882?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -0.0277 (c) -273 (d) -4\/5 (e) -4\/7 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 14 - 114. What are the prime factors of 8\/t - (-488)\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7932*u**5 - 4*u**4 + 497*u**5 + 909*u**5 - 2 - 1412*u**2 + 4*u**4 wrt u?\nAnswer: -391560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9379968 divided by 73281?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 45 - 30 - 261 = -3*k for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57307 + 80424. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 25 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*w**4 + 613500*w**3 - 10342*w**2 - 249*w - 2 wrt w.\nAnswer: 216*w + 3681000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 1130314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11023*q - 11023*q + 2*j - 2, 4*q = -5*j - 19 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (-64)\/(-96)*111\/11 and 115\/1144.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 55*o + 18. Let a be u(-32). Suppose 23*x - a = 57*x. Does x = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 69*w**3 - 10*w**2 - 57*w + 1. What is j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 11*w = -5122. Let g = 4792 - w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 147*d**2 - 10*d - 5. Let l be x(5). Let z be l\/(-6)*(-6)\/4. Let s = -606 + z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3173.7411 + -27728832.7411. Let w = p + 27725720.000122. Let n = 61 - w. What is n rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + b - 7*b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 5*p - 6*q + 336, 2*q = 11*p - 3*q + 81 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:25 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13381266?\nAnswer: 2, 3, 877, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -930)*(-1)\/12. Let o = 77 - l. Let k = -111 - -110.5. Which is the third biggest value? (a) k (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 13*k**2 + 5. Let d(t) = -t**3 - 5*t**2 + 19*t + 40. Let j be d(-7). Let h(f) = 2*f**3 - 7*f**2 - 3. Determine j*h(y) + 3*v(y).\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36637 at least as big as 1172367\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 - 8*m - 1. Let u be x(-7). Solve -3*k = -0 - u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -q + 4, 17 = 2*q + 3*k + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12368, 12485, 12604, 12725, 12848, 12973, 13100?\n\"Answer: g**2 + 114*g + 12253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/2 (b) 6011 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948838 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12515 (base 9) in base 12?\nAnswer: -4a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19461078 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*-10*(-1)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**2 - 170*k + 2. Let s be t(17). Solve -s*r = -8, 3*w = -5*r + 6*r + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/343?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z + 42 = -67*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, 1\/3, -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*w + 460, 2*w = -2*w + 2*c - 616. Calculate the common denominator of 4\/1 - (-2171)\/w and 57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o - 8. Let p(a) = -5*a + 3. Suppose -4*c - 572 = -8*c. Let f = c + -147. Determine f*h(b) - 11*p(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 501027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31083247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 3, a: 4}. Give prob of sequence xa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.108 * -9.\nAnswer: -9.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 7*x**5\/20 - x**3 + 4*x - 1. Let s(i) be the first derivative of a(i). What is the second derivative of s(b) wrt b?\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/60 - 5*s**4\/24 - 5*s**3\/3 - 4*s**2 - 2. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**5 - 243*z**4 + 61503*z**3 + 378567*z**2 - 439824*z = 0.\nAnswer: -187, -7, 0, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35470 divided by 12.\nAnswer: -17735\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (12 + (2 - 29) + -108)) + 16 + -5?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, 35, -4, -3, 18 in descending order.\nAnswer: 35, 31, 18, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -7*l**5\/15 + 3*l**4\/4 - 12*l**2 + 18. Let q(a) be the second derivative of n(a). Find the second derivative of q(s) wrt s.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107374?\nAnswer: 2, 37, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - v. Let d be u(1). Let z = d + 0. What is the second derivative of a + a + a + 0*a**4 + z*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100550141 (base 8) to base 7\nAnswer: 264112553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 515*b**5 - b**4 - 1900*b**3 - 12886027*b**2 wrt b?\nAnswer: 30900*b**2 - 24*b - 11400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1604\/30417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*g**2 - 3892*g**2 + 4*g + 1285*g**2.\nAnswer: -1315*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 7*x**2 - 26 + 4*x - 4*x as n*x**2 + k + h*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97587 + 450030 = 19*b - 604239. What is b rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 1643.\nAnswer: 16430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3 (b) 0.1 (c) -582 (d) 2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifaa when four letters picked without replacement from faaffia?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 286601469 to the power of 1\/2, to the nearest integer?\nAnswer: 16929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**3 + 3*i**2 + 2*i - 14. Is 8 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - z = -8, 3*z - 5*z - 11 = -3*f. Let d(u) = -f*u + 4 - 4*u + 0*u + 6*u. What is the units digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -36. Let a(m) = 0*m - m + 3 - y*m - 10. Let u(q) = 3*q + 3. Let s(i) = 4*a(i) + 9*u(i). Calculate s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnn when four letters picked without replacement from {b: 3, c: 3, n: 2, y: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/29 (b) 1\/3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39821.627 to the nearest ten.\nAnswer: 39820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -551. What are the prime factors of x?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 - -349. Suppose -v*f + 10*f = 384. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 171\/150)*(-46)\/(-69). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k + 12*k + 2*k**2 + 3*k**2)*(-k - 2*k + 4*k) as j*k**2 + w*k + m + c*k**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l**2 - 35*l**2 + 74*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4\/7 + 54220*t**3\/7 + 183765124*t**2\/7 + 183602484*t\/7 - 367421832\/7 = 0. Calculate t.\nAnswer: -6777, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:05 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 245 in -7\/4, -2, 1\/3, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:36 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -6*y - 3*i + 2, -12 = -3*i. Suppose 0 = -5*c + a + 1, c + y = -5*a - 0. Solve t + 2*z = -c*z - 1, -4*t = -2*z + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86469.99 litres?\nAnswer: 86469990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/2 + 0 + -1. Let l be ((-4964)\/(-102) - 42)\/(4\/3). Solve -5*q + y = 2*j - l*j, 4*q + 3 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18562 - 1767563.\nAnswer: -1786125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*z = -445*z - 310*z - 3668 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43464299?\nAnswer: 79, 550181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6393852 minutes to nanoseconds.\nAnswer: 38363112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36663721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -1\/4*u**4 - 7*u - 11\/2*u**2 + 4 - 3*u**3. Let l be v(-8). Solve 22 = 4*s + q, 5*s - l = 3*q + q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -65. Let p = l + -27. Let y(c) = -114*c + 5. Is y(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-16))\/(37\/2)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50682.\nAnswer: 2, 3, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2283 - 1003 = -31*l. Calculate the highest common factor of l and 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -169*b**4 - 5*b**2 + 17. Let c(s) = 169*s**4 + 4*s**2 - s - 17. Let w(f) = 5*c(f) + 4*n(f). Find the second derivative of w(x) wrt x.\nAnswer: 2028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 450 = -2*c - 420, -r + 4 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1685*a + 245865 - 75680 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0033 * 0.1\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2359 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4674, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640\/121943 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-2 - 2*sqrt(5)*-1) + -5*(-4 + sqrt(5)*1 + sqrt(5))*4)**2.\nAnswer: -9600*sqrt(5) + 24400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 16) to base 4\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let t be u + 0 - 4\/(-2). Suppose t*s - 3*s = -9. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15 + -3 + -14 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -2.06. Let p = d + -2.2. Let k = p - 0.32. Round k to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(637) + 3) + 3 + -4 + -1 + sqrt(637).\nAnswer: 10 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11934712 and 33\/8?\nAnswer: 11934712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h + 17*h - 2*h. Let s(y) = y. Calculate s(k(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.1. Let a = 106 + -88. Let q = a - 22. Put h, -2\/11, q in decreasing order.\nAnswer: -2\/11, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 112. Let z = c + -34. Suppose 0 = -3*j + 14 + 1. Solve -4*m = 2*u - 8, 0 = u - m + j - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1 - 4 - 2*n - 11. Let b(s) = 68*s**2 + 265*s - 43. Let l be b(-4). What is f(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 11*r**2 - 25*r - 123. Is l(-12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6552 and 921414?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12921248*g - 8. Let s(q) = -2*q. What is o(s(w))?\nAnswer: -25842496*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j + j - 2*j)*(j**3 - 2 + 0*j**3 + 5) + 11*j**4 + 4*j**4 - 4*j**4 to the form g*j + d + y*j**3 + l*j**2 + o*j**4 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287 - -287. Suppose -67*z + 64*z + 108 = q. Calculate the remainder when 110 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282197500 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 - 16*t**3 + 10*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -357703.149205 + 357704. Let k = -0.85 + s. What is k rounded to 5 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from pbzciapi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 - 21*c**2 - 19*c + 13*c**2 - 61*c.\nAnswer: 2*c**2 - 80*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/7)*a*a*a\/a**(8\/5))**(-35))**(-20) assuming a is positive.\nAnswer: a**880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -1955\/6. What is the common denominator of y and 731\/(-2193) - 57\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = t - 2*j + 5*j, 2*t - 3 = -5*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i - 4*p - 9, -5*i = -5*p - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**5\/140 + b**4\/56 + 2*b**2 - 7*b. Let s(v) be the first derivative of z(v). Solve s(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 68*g - 144. Calculate j(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a second in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19580 + 13314. Let z = d + -32894.092364. Let t = z + 0.093. Round t to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 - 118*l - 264. Determine n(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/5 - 5157*f**2\/5 - 2954961*f\/5 - 564397551\/5.\nAnswer: -3*(f + 573)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 4, s: 11, w: 2, l: 1}. Give prob of sequence sgs.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -56*((-35)\/(-90) - (-1)\/(-2)). Solve 44\/9*h**2 - 10\/9*h**3 + 16\/9 - j*h = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/16, 2.6, -0.2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158*m - 5347*m + 3730*m.\nAnswer: 541*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/6467 and 39\/6467.\nAnswer: 6467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1017165 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j\/j**1)))*j)\/j*j)\/j)**(-27) assuming j is positive.\nAnswer: j**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 677*w. Let q(a) = -266*a. Let r(c) = 11*m(c) + 28*q(c). Let y(t) = 25 + 16 - 3 - t. Determine r(y(v)).\nAnswer: v - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 77*j**2 - 15*j + 89. Is k(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-186) - 45704130\/1633545\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25548 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z + 40. Let g(y) = -y + 7. Let b be g(-6). Let f = b - 1. What is the greatest common divisor of f and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640571244 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.75, 3\/4, 1\/3, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 492 - 491. Let k be ((-12)\/(-42))\/(g\/112). What is the highest common factor of 44 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32515.69 nanometers to meters.\nAnswer: 0.00003251569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:41 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 5*s + 1. Let u(q) = -69*q**2 + 29*q**2 + 14*q + 51*q**2 + 2. Give 8*c(f) - 3*u(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339 and 14351?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2748017968 - -0.267\nAnswer: 2748017968.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*j**3*t**3 + 6*j**2*t**3 + j**2*t**2 + 4*j*t wrt j.\nAnswer: 1668*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1052)\/54178 - (-925)\/(-103)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**4\/i*i*i)\/i*i**1)\/(((i*(i*i*i**1*i)\/i*i)\/i)\/i)**(-1\/4)*(i**0)**49\/(i\/(i**(1\/2)*i))**(2\/17) assuming i is positive.\nAnswer: i**(463\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n + 24. Suppose r + 0 = n. Let z(w) = -w + 19. Let v be z(r). What is the highest common divisor of 78 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -76.3. What is the second biggest value in k, -0.03, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f - 8*f + 31*f - 11*f - 6*f. Let q(b) = -2*b**2 - 5*b + 5*b. Calculate o(q(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*g - 2*o + 3*o, 5*g - 69 = -3*o. Calculate the greatest common factor of 804 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/6*o**3 + 0*o**4 - 4*o + 0 - 1\/60*o**5 + 0*o**2. Let r(p) be the second derivative of i(p). What is r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 16*r = 4*d + 12*r + 16, -2*d - r = 24 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 436, 718, 1016, 1330, 1660?\n\"Answer: 8*f**2 + 242*f - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(1872)*1 - sqrt(1872)) + sqrt(1872))*2)**2*2.\nAnswer: 17576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 + i + 16. Determine l(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1176 (b) 0.04 (c) 2\/9 (d) -5\/3 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 2 n when four letters picked without replacement from nrgnllrglggllngnn.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 2. Let k be a(-18). Suppose k*m - 15 = m. Is m greater than or equal to 7\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4\/3*i - 2*i**2 + 0 - 2\/3*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 238*s + 3629. Is m(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-9) - 2\/(-3). Suppose -2*r - 6 = 2*h, -r - 3*h - b = 11. Solve -r*v = -v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3878 = 52*x - 38*x. Let w = 282 - x. What is the least common multiple of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.6 - 14. Let q = w - -0.9. Which is the nearest to 3? (a) q (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4 - 2*a**3 + 2*a**2 + 2*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 + 4*n - 2. Let a be (-22)\/(-3)*(3 - -3). Let z = -41 + a. Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008657 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2506134 and -10\/4594579?\nAnswer: 27567474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086 times -1469694?\nAnswer: 126393.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/7 - f**4\/7 + 5*f**3\/7 - 3*f**2\/7.\nAnswer: -f**2*(f - 1)**2*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-133) - ((-156)\/38 - 1). Let t(k) be the second derivative of -1\/8*k**2 + 1\/48*k**4 + 7*k - 1\/80*k**m + 0 + 1\/24*k**3. Factor t(y).\nAnswer: -(y - 1)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l**3 - 2*l)*(-3*l + 5*l - 4*l + (4 - 4 - 1)*(-3*l + 7*l - 3*l) - l - 3*l + 0*l + 1 - 3*l - 1)*(0 + 0 - 2*l + (3 - 4 + 3)*(-2*l - 4*l - 9*l)).\nAnswer: -320*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275) + sqrt(11))**2 + (sqrt(66)\/sqrt(2) + sqrt(33))\/sqrt(3) + sqrt(11).\nAnswer: -9*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000526531 rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 120470*r**3 - 722700*r**2 + 1445320*r - 963520 = 0. Calculate r.\nAnswer: 2, 24088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 0 - 91\/(-7). Suppose -4*h + m = -15. Let u(t) = t**2 - 8*t + 4. Let c be u(h). Solve -b - c = -0*z + 2*z, -2*b - 5*z = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftdf. What is prob of sequence tf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -18) + 2 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (1 + 0)*-2. Suppose 2*h - 31 + 9 = -5*c, 0 = z*h + 3*c - 22. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51692 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415 + 49*m**3 + 837 - 422.\nAnswer: 49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + 3*y - 20. Suppose 0 = -3*v - 19 + 196. What is the remainder when v is divided by j(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/28*(-36)\/(14 + -23)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 24. Calculate r(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/518 and 15\/74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 7, d: 1, c: 8}. Give prob of sequence cd.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let w = 3.2 + -0.2. Sort p, w, 0.2.\nAnswer: p, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2107, -2804, -3515, -4240?\n\"Answer: -7*j**2 - 676*j - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.3 - 10.3. Which is bigger: -132 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 - 2*c - 4. Let i = 12 - 14. What is the remainder when z(i) is divided by (2 - 0) + (-45)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 21*m + 9 = 16*m, 3*m = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 23*f**5\/20 - 17*f**4\/12 - 12*f. Find the third derivative of p(v) wrt v.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2*5)**2 - -1*sqrt(152)\/(sqrt(24)\/sqrt(3)).\nAnswer: sqrt(19) + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.1618 nanograms in kilograms?\nAnswer: 0.0000000005101618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2639 = g + 2*g - 2*j, 0 = -2*g + 3*j + 1766. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26954 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(1*sqrt(160)))**2 - ((2*sqrt(143))\/sqrt(11) - -6*(-1 + sqrt(13))).\nAnswer: -8*sqrt(13) + 109\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21468 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14132\/(-12)*2\/60. Let j = m - -196\/5. Suppose -3*x + 5*o + 3 = o, 3 = 3*x + 5*o. Is x greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:57 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = 30*b - 42*b. Solve 2*w + 2*q + 10 = -b, -10 = -w + 4*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -340\nAnswer: -6120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m = -3*f - 192*m - 30*m - 423, -6 = 2*m for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -90460000 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 995*f**3*g**3 + 43*f**3*g**2 + 13948*f**3 - 2*f wrt g?\nAnswer: 2985*f**3*g**2 + 86*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + 55\/(-6 + 1). Solve -40*y + a = -43*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 - -48) + -198 - (-60 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468628316 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-10) - (-219559)\/(-670). Let o = 740 + l. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -5*f + 9*f. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*n**5 - 5937*n**2 + 4364059*n?\nAnswer: -3040*n**3 - 11874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 60*v + 55*v + 59*v + 3*v**4 - 4*v**4 - 172*v - 988 to the form l + q*v**3 + j*v**2 + a*v + t*v**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37246068 and 107004?\nAnswer: 1378104516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Suppose 12*o - 11*o - 6 = s. Which is the smallest value? (a) -0.5 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - (-10)\/(-15). Solve 3*r + 2*k = -5 - 2, -5*r + 5*k + 5 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*w - 10*w + 10, 4*b + 10 = -5*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948392 divided by -3.\nAnswer: 948392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b**2 - 2*b**3 - 4 + 3*b**2 + 7*b**2 + 6*b. Let y(n) = 3*n**3 - 11*n**2 - 6*n + 5. Suppose 3*a = -8 + 20. Let k(q) = a*c(q) + 3*y(q). What is k(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkccpkppccppckc. Give prob of picking 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54809561 or -54809552?\nAnswer: -54809561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilgn when four letters picked without replacement from {l: 1, i: 1, g: 1, n: 1, b: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8941.151m in millimeters?\nAnswer: 8941151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/6) + -223 + 217.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416261 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -3*c**4\/8 + c**3\/6 - c**2 - 1. Differentiate t(i) with respect to i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00621947 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-4 + -9 + (8 - -11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3325 - 3244. Solve 117 - a = 6*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-7 + (2 - -1))) + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7022108?\nAnswer: 2, 1755527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k**(-4)*k**10*(k\/k**(-8\/7))\/k)**(7\/4) assuming k is positive.\nAnswer: k**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 119750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 89, -3 in decreasing order.\nAnswer: 89, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - 10101211?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2768356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 517705260 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-162) - ((-3)\/(-6) + 0)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498265 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170.0244 - -170. Let v = p - -0.024973. What is v rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3657320*y**4 - 1268*y - 2455 wrt y.\nAnswer: 43887840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z**5 + 200860*z**4 - 258532528*z**3 + 110771070592*z**2 + 145217321984*z + 34187517952 = 0.\nAnswer: -1, -4\/13, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((-1*sqrt(243)*2)**2 + 4).\nAnswer: 23424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 85*a + 21 + 91*a - 3*a**2. Give u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-34)\/(-4). Suppose -8 = 4*r - 0. Let m = r - -3. Sort m, 2, k in descending order.\nAnswer: k, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 57\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 - 6*q + 1. Calculate the remainder when b(3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -11\/6 (b) 9080\/33 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51633 (base 7) in base 15?\nAnswer: -3b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30232 is divided by 14672?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.510903 millilitres in litres?\nAnswer: 0.007510903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + b - 1. Let w be y(0). Let i be (-1)\/(w*(-2)\/(-4)). Suppose 0 = -3*x + 4*v + 10, -i*x - 3*x - 5*v + 5 = 0. Solve 4 = 3*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -832*b**2*p*t**2 + 2*b**2 + 36*b*p*t**3 + 156*b*t**3 + 48*t**2 wrt p.\nAnswer: -832*b**2*t**2 + 36*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i**7 - 69\/20*i**5 + 0*i + 98 + 0*i**3 + 0*i**6 + 27\/56*i**8 + 0*i**4 + 2*i**2. What is the third derivative of m(l) wrt l?\nAnswer: 9720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972244632?\nAnswer: 2, 3, 47, 227, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let g(m) = -2*m + 5. Let i(c) = -c**2 - c + 5. Let a be i(0). Let s(d) = 2 - 3 + 3*d - 5. Let f(z) = a*s(z) + 6*g(z). Determine w(f(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 63*x**2 + 287*x - 164. Determine h(-58).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 2, p: 1, u: 4, c: 1}. Give prob of sequence pcuc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232 - -232.01. What is the biggest value in 0.5, k, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259835, -519027, -778219, -1037411, -1296603?\nAnswer: -1555795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 4. Let c be w(5). Let a(m) = c + 1 + 3*m**2 + m - 6*m + m. Let n be a(2). What is the highest common divisor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011010000001 (base 2) in base 15?\nAnswer: 6865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12371120347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 4. Let t(z) = -3*z + 7 + 6*z + z**3 + 12*z**j + z**3. Does 14 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23105 or 29760?\nAnswer: 23105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p**4 + 3*p)*(0 + 0 - 2 + (0 + 3 - 1)*(3 - 8 + 3) + 0 + 1 + 0).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 37*g - 3 = -30*g, 0 = -4*j + 5*g + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 7*x - 1 + 7*x - x**3 - x + x**3. Let d(t) = 5*t**3 + t + 1. Let b(n) = -21*n**3 - 4*n - 4. Let i(y) = -4*b(y) - 18*d(y). What is i(k) - r(k)?\nAnswer: -5*k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-26)\/(-16))\/(6 - 3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x + 4*n - 48 = 50*x, 0 = 4*x - 3*n + 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 - (-107834 + -9) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 184*r**2. Let d(q) = -8*q. Give a(d(b)).\nAnswer: 11776*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 1. Let l(i) = 5*i**3 + 5*i**2 - i - 9. Let n(v) = -5*l(v) - 20*s(v). Factor n(r).\nAnswer: -5*(r - 1)*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 38*n**2 - 27*n**2 + 0 - n**3 - 2 + 12. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, o: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 407*z**3 - z**2 + 408*z**3 - 813*z**3 + 3*z**2 in the form v*z**3 + a*z**2 + l*z + o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3405571 + -1?\nAnswer: -3405572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -28*o + 33*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -811643\/1191020 - -928\/1921. Calculate the common denominator of l and 53\/1612.\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 29*y - 154. Let p be x(19). Let l be ((-56)\/20)\/(-3*4\/540). Calculate the greatest common factor of l and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let k = -0.17316 + 0.07316. Sort -5, k, -3\/5, y.\nAnswer: -5, -3\/5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 86, 564, 13 in increasing order.\nAnswer: 1, 13, 86, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 44*z - 168. Give r(25).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36300722 to the nearest integer?\nAnswer: 6025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2844*r*v**2 - 189*r*v - 37*r - 23*v**4 - 2*v - 1 wrt v.\nAnswer: -5688*r - 276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5)*(-32)\/12*(-78)\/(-52). Put -4, -5, d, -3 in decreasing order.\nAnswer: -3, -4, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -41*u**2 + 17*u. Let a(l) = -53*l + 31*l - 79*l**2 + 74*l**2 + 24*l. Let i = -44 - -50. Calculate i*t(x) - 51*a(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -214918 plus 0.2?\nAnswer: -214917.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2774 and 1196981.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 2*g + 11. Determine k(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982026707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:32 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693518458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = z - 5*z, 0 = -3*z - 5*n + 29. Let j = 3 + z. What is the remainder when 213 is divided by (172\/6)\/(5\/45*j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v + 0*v)*(v + 0*v - 8*v)*(-3 - 1 + 5) to the form k*v**2 + u + o*v and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 1.50094. Round s to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 470 in -0.256, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6078 or -6082?\nAnswer: -6078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -52. Put 2, -2, -5, f in descending order.\nAnswer: 2, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 26*x = 0. Suppose -3*i + 3*c = -117, -2*i - 2*c = -x*i - 98. Suppose 2*a - i = -0*a. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 24*y + 112. Let d be 1696\/288 + (-2)\/(-18). Let o be l(d). Solve 11 - 3 = -o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*m**3 - 74*m**4 + 1 + 2*m - 12*m**3 - 50*m**3 as q + u*m**4 + d*m + h*m**3 + x*m**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2. Let s(r) = 6*r - 1433. Give q(s(w)).\nAnswer: -108*w**2 + 51588*w - 6160467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 54 = 0. Suppose 0 = -2*h - n - 22 - 28, -3*n = 2*h + s. Let t(m) = 2*m**3 - 20*m**2 + 5*m - 75. Let o be t(10). Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -34.4. Let i = g - -18.689. What is i rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-14)*427\/(-610)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1541?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {u: 1, o: 2, h: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179099377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, j: 3, p: 1, x: 6, w: 1}. Give prob of sequence mpj.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -267909683, -267909685, -267909687, -267909689, -267909691, -267909693?\n\"Answer: -2*s - 267909681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 259131, 5, -13 in ascending order.\nAnswer: -13, 5, 259131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/5))\/s**(3\/16) assuming s is positive.\nAnswer: s**(81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9314100 divided by 300\nAnswer: -31047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233.5 - -233.7. Let g = -27 + 25. Which is the nearest to g? (a) 1\/12 (b) r (c) -12 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118952 + 184052. List the prime factors of l.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-34)\/(-14) + -2. Let j be (8 - 7)*(-2 - 0). Let h be j - (-3 + (-2)\/(-4)). What is the nearest to h in l, -0.1, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:55 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031822 rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - w + 9 + 12 = 0, 5*b = w - 27. Suppose -1 + 6 = -5*y. What is the common denominator of 14\/11 and -22*b\/(-15) + y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15806551*z**3 + 645*z**2 + 15801139*z**3 + 21*z**2 wrt z?\nAnswer: -32472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5031456?\nAnswer: 1\/5031456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/119691 and 74\/199485.\nAnswer: 598455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/3 + (-3 - 22\/(-6)) + -4. Solve v*w + 46 = -38 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 3*v**2 + 4*v - 1. Let s be l(-2). Solve 81*f**3 + 136*f**3 - s*f**3 - 88*f - 68*f**2 - 24*f**5 - 10*f**3 + 196*f**4 + 52*f = 0.\nAnswer: -1, -1\/3, 0, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - 7\/(-5). Is v at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3530, 29011, 98496, 234035, 457678, 791475, 1257476?\nAnswer: 1877731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25147224.\nAnswer: 2, 3, 233, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32*q**2 + 4. Let o(l) = -9*l**2 - 30*l - 15. Let a be o(-2). Let n(w) = 65*w**2 + 9. Give a*p(j) - 4*n(j).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.17058 rounded to two dps?\nAnswer: 595.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 71412, 1, -5, 0, -1, 5 in decreasing order.\nAnswer: 71412, 5, 1, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 - 12*l**2 - 10*l**2 - 24*l**2 + 69*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 44382*d. Let j(h) = -3*h**2. Determine s(j(u)).\nAnswer: -133146*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 2*d)*(2 + 4 + 2)*(4*d - 3*d - 2*d)*(3 - 3 - 3).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(3))**2 + 5 + sqrt(3) - -2*sqrt(12)) + -2.\nAnswer: 5*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -986362*w**4 - 2*w**2 + 34772*w - 1 wrt w.\nAnswer: -23672688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -375 in 8, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 16*a\/7.\nAnswer: 2*a*(a - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 4*w**2\/3 + 22*w\/9 - 4\/3.\nAnswer: 2*(w - 3)*(w - 2)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (2 - (-4 + 33)). Which is smaller: d or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k)\/k*k*k*(k**(-10)*k)\/k*k)\/(k**(1\/8)\/k**1) assuming k is positive.\nAnswer: k**(-261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 341022.\nAnswer: 5115330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let r = 7 + q. Suppose 0*j = -4*j - 3*u + 9, -j - r*u + 6 = 0. Sort j, -4, -1 in increasing order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8)*22)\/(350\/(-1050))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 3*l - 52 = 0, 74 = 2*z + 4*l. Let k = z + -17. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 20\/(-11) - 105\/330. Which is the nearest to 1\/2? (a) -2 (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14061 is divided by 4545.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6812 divided by 2.\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c - 32 + c + 17. Let k be t(-10). Factor 40*n**2 - k*n**2 + 125 + 22*n + 28*n.\nAnswer: 5*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 13. Let s = t - 22. Let x be (7\/3 - 3)*s. Let n(w) = -2*w - 1. Determine n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 12. Suppose 2*a - 22 = 2*o, 11*o - 4 = a + 15*o. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 5, z: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26430454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 2*g - 1. Let v be w(2). Let m = v + -8. Solve -c + 2*y = -m, -y - 25 = 4*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (93 + -130 - (-20 - -1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*m - 36, 2*m + 18 = 2*x + 3*m. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 2 - (-1 + -1). Let n be 2 - (i + 0 + 0). Solve n = c + 1 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4835820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*i - 27 = 0, 3*o + 2*i = i - 1. What is the tens digit of (o - -17)\/((-159)\/42 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(-7*v - 3*v - v) + 0*v + v + v + (-2 + 1 + 0)*(-4*v - 2*v + 4*v)*(3 - 1 + 0) in the form s + b*v and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1296 by 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -277\nAnswer: -59\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 + 689. Suppose -402*c = -l*c - 182. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 3*x + 2*z = -6, 0 = 2*x + 2*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(10)*1 + -1*(sqrt(32)*3)**2.\nAnswer: -288 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2341, 1913, 695, -1709, -5695, -11659?\nAnswer: -19997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37844 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36652.12 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/79, -0.4, -0.3 in descending order.\nAnswer: 2\/79, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-12))\/((-3)\/136). Let c = -19 + n. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 418\/7 and 60 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - u - 19 = 0, -4*u = 4*o - o + 36. Let c(s) = -s**2 - 8*s + 6. Let n be c(o). Suppose 7*m = 4*m + n. Solve -3*f - m*f = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4158, -8174, -11986, -15594, -18998, -22198?\n\"Answer: 102*f**2 - 4322*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 9*n - 16. Let b be m(5). Let i = b + 49. Let h = -15 - i. Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7624932377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 - 169\nAnswer: -168.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6285?\nAnswer: 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/7 - 12164*l**2\/7 - 1036058*l\/7 + 1048220\/7 = 0.\nAnswer: -85, 1, 6166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + -197. Let l = 12 - 9. Sort -1, 2, l, k in descending order.\nAnswer: l, 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -47, -101, -197, -347, -563, -857, -1241?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*d + 58 + 68 + 190 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44593, 88324, 132055, 175786, 219517, 263248?\n\"Answer: 43731*u + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 2, f: 1, g: 7}. What is prob of sequence gg?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 - 361341*r**4 - 10838430*r**3 - 108378300*r**2 - 361251000*r.\nAnswer: -3*r*(r + 10)**3*(r + 120417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n**3 + 17*n**2 - 389*n + 1900. Determine m(5).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 3. Let u be j(2). Suppose 4*l = 5*i + 1, -3*l + 33 = u*i + 6. Let v be (l\/(-6))\/((-8)\/36). Which is the biggest value? (a) -4 (b) v (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -68, -114, -178, -266, -384, -538?\n\"Answer: -g**3 - 27*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b5 + -24827b?\nAnswer: -247986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 + -0.23. Let d be (-5)\/((-45)\/(-12)) - -1. What is the nearest to -0.4 in b, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -17 in descending order.\nAnswer: 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phlbpplzhhlhhphglh. Give prob of picking 1 b and 1 g.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 6*w + 18. Let h be v(-8). Suppose 5*f - 4 = d - 0*d, 3*d - 1 = h*f. Suppose k = 6*k. Solve -c - z + 6 = k, z - 2 = -d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (129\/6)\/(3\/(3 - -21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1763 - -1764. Sort -4, h, 6, -5 in increasing order.\nAnswer: -5, -4, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 3*r + 23, 3*i - 31 = -5*r. Let z = -26 - -35. Solve -4*k + 13*k**i - z + 2*k - 4*k**2 + 5*k - 3*k**3 = 0 for k.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**0)))\/v*v**(-2\/7)\/v*(v\/(v\/(v*(v*v**(-2\/5)*v)\/v*v)*v*v))**(1\/11) assuming v is positive.\nAnswer: v**(-474\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*z - q, z + 5*q = -0*z + 1. Let k = z - -24. Suppose 2*h - 16 = -r, k*h - r - 21 - 33 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvzzzzvv. What is prob of picking 1 z and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 0, 4*l + 152 = -2*m + 5*m. Let y = l - -65. Calculate the greatest common factor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o, 2*h + 4*o - 41164 = -2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*l + 129*l + 54*l + 11352 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Three letters picked without replacement from {m: 5, n: 8, t: 2, y: 4}. What is prob of picking 2 m and 1 y?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/4 (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 10:57 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 6*c**2 + 13*c**2 + 8*c**2 + (c - 6*c + 3*c)*(-2*c - 2 + 2) + (-4 + 4 + 3*c)*(-3*c + 3*c + c).\nAnswer: 22*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w - 2036 = 16464. Let q = w - -436. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4860 = -5*w, 0 = -15*h + 12*h - 3*w + 3672. Calculate the highest common factor of 100 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from vvvvvoovovovooovvvv.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 2\/5, -5, 9, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 7480\/(8 - -2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - -3.17. What is the biggest value in y, -4, 31, 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9741612221 + 0.4058.\nAnswer: -9741612220.5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246198995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.436?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1014?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4 - 5 + 2*l - 4*l. Let w be n(-6). What is the units digit of 8\/w*36\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 71*y - 217. Determine a(11).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*x**2 - 33*x**2 + 45*x**2)*(-2*x + 4*x + 0*x)*(-x - 2*x + 5*x).\nAnswer: 440*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 7*b - 4*b)*(0*b**2 + 4*b**2 - 5*b**2 + (b + 0*b + b)*(-4 + 3*b + 4)*(-2 + 4 - 3) - 2*b + 2*b**2 + 2*b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162252, 324527, 486802?\n\"Answer: 162275*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -667028 or -667009?\nAnswer: -667028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.222. Let z = -0.091 + n. Let h = -0.049 + z. Do h and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/24 - -10)*(-4)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -918 * -83\nAnswer: 76194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/(g**6*g))\/((g**(-5)\/g)\/(g*g**(2\/11)*g)))\/(((g*g**(2\/5))\/(g\/(g*g**(1\/6))))\/(g**5*g*g\/((g**(-2)\/g)\/g))) assuming g is positive.\nAnswer: g**(3833\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 586*a**2 - 190*a + 3. Let h(j) = 547*j**2 - 191*j + 2. Let k(z) = -4*h(z) + 3*l(z). Find the second derivative of k(q) wrt q.\nAnswer: -860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002721 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 13*p - 440. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0 - -2) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3527, 7065, 10615, 14177, 17751, 21337, 24935?\nAnswer: 28545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -441, -113.\nAnswer: -441, -113, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 8 + 76. Suppose 2*i + 17*f - 574 = g*f, i = -3*f + 287. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 291 + -263.7. Let k = q - 27. Is 3\/8 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -46. Let r = -77 + n. What is the remainder when 161 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5.4. Let u = -72 + 72. What is the closest to u in 3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5324118 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*w**3 + 234*j*w**2 + 331850*j - w**3 + 63200*w**2 - 58*w wrt w?\nAnswer: -6*j*w + 468*j - 6*w + 126400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -395*l**5 - 1784*l - 2730. What is the derivative of m(r) wrt r?\nAnswer: -7900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 7*v. Suppose 4*o - 860845 + 3140845 = v. What is o rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(304))*-2 + 2)**2.\nAnswer: -64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (6 + (-11 - 11 - -13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-256)\/3)\/(-16))\/((-2)\/(-6)). Solve -s = -19 + a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 78 = 2*k, -72 = -3*g + 79*k - 83*k. Solve -v = -4*x + 19, 14 = -13*v + g*v + 3*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -31*g**2. Let x(k) = -7*k**2. Let z(p) = -11*p**2. Let d(f) = -8*x(f) + 5*z(f). What is i(d(v))?\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 310 - 309 + 0*m**2 - m - 6*m**2 + 2*m. Suppose -12 = 3*i - 6*i. Calculate the remainder when u(6) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuvuuuvuuuuububu. What is prob of sequence uvbv?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 38844 = 40788. Solve 37*n + y + 224 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**2 + 5746. Let o(z) = -2261*z**2. Calculate h(o(u)).\nAnswer: -9044*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8395085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0754 + 5.0754. Let x = -7 - -18. Let c = 160 + -160.5. Put j, c, -1\/9, x in ascending order.\nAnswer: c, -1\/9, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3148 divide 21952390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + -1 + -5 + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 4, u: 2, c: 5, m: 5}. What is prob of sequence cc?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9474*b - 9444*b - 9441*b - 9439*b - 9441*b + 56669*b - 9431*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836357063.\nAnswer: 3, 1069, 572609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/5 - 4*j**3\/5 - 2*j**2\/5 + 4*j\/5 + 3\/5 = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p - 1. Let q be h(1). Suppose 0 = -o - 4*m - q*m + 1, 0 = 3*o + m - 25. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 26756*g**2 + 52*g + 101. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -9, 5 in decreasing order.\nAnswer: 5, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239\/684 - -3\/76. Sort -0.5, 0, a, -0.3.\nAnswer: -0.5, -0.3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20297276 divided by -4?\nAnswer: -5074319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-724 - -719) + 56\/(-30) + 2 and -97\/6370.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638.5828 grams to micrograms.\nAnswer: 638582800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.2557.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + -2223)\/(100\/34 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 11 - -16) + (-6 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*i = -i - 27, -b - 2*i - 3 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2243, -4498, -6757, -9020, -11287, -13558, -15833?\n\"Answer: -2*s**2 - 2249*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8. Let k be (3*j)\/((-6)\/32). Solve 2*l - k = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -34*l**2 - 3*l + 4. Let f be j(1). Let s = f - -33. Solve s = -2*r + 5 - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1878 or -56357\/30?\nAnswer: -56357\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34484809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**5\/15 + 5*w**4\/24 - w**3\/3 + 17*w**2. Let q be x(2). What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(12)\/sqrt(4)*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o + 15. Let d be t(4). Suppose -4*w = -2*w - 32. Suppose c - w = -3*h, 28 = 4*h - 2*h + 5*c. Solve d*g - h*g = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 1, b: 1, k: 2, h: 2}. Give prob of sequence vbh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llillill?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -751100 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242989 - -407558. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 + u. Let l(t) = -2*t**2 + t. Let b be (-40)\/18 + (9 - (-395)\/(-45)). Let m(s) = b*x(s) + 2*l(s). Let p(q) = 21*q**2. Give p(m(d)).\nAnswer: 336*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 7*u**2 + 8. Let m be b(-7). Let y = -5 + m. Suppose -2*z - 3*q + 18 = q, -2*q = -y*z + 51. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:09 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-1)\/f*f)\/f)**(-1)*f**2*f*((f\/(f*f**0\/f))\/f)\/f*f)**12 assuming f is positive.\nAnswer: f**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v + 11*v + 65520 = 155*v. Calculate the least common multiple of v and 3528.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let l be (-4)\/(-8)*g\/2. Suppose -2*c - c = 0. Solve c*u + 4*u = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l**2*l*l*l)\/l*l)**(-3)*(l**(-2\/3))**(-1\/4) assuming l is positive.\nAnswer: l**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(2*w**3 - 5*w**3 + 2*w**3 + (4*w - 3*w - 2*w)*(4*w + 5*w**2 - 4*w)).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 7*b - 10. Let v be w(-4). Let x be (-30)\/(-9)*(-5 + v). Let z be (x\/(-3) - 2)\/((-6)\/(-9)). Solve -z*s + 9 = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:15 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y + y. Let b(q) = -16*q + 27*q - 14*q - q**2 + 4. Does 4 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2953 + 0.3653. Put 1\/3, 2\/11, d, -6\/11 in increasing order.\nAnswer: -6\/11, d, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -2)*-5*-2 - 2*(-5 + sqrt(80)))**2.\nAnswer: -40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 35*u**3 - 150*u**2 - 185*u - 85. Let p(i) = -49*i**3 + 148*i**2 + 185*i + 90. Let o(s) = -6*k(s) - 5*p(s). Solve o(x) = 0 for x.\nAnswer: -3, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377\/3 + -1882\/15. What is the closest to 4\/69 in 4, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2*((-6)\/15)\/(3\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202305 divided by 5.\nAnswer: -40461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2180868 divided by -4.\nAnswer: -545217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) -109 (c) 2.2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)*-5)\/(sqrt(12) + sqrt(48)\/sqrt(16)) - ((sqrt(88)*2 + sqrt(88))\/sqrt(4) - sqrt(22))\/(sqrt(98)*2).\nAnswer: 137*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4349.200709 to zero decimal places.\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -108673 > -108694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -0. Let j be (-11)\/s - (-1)\/2. Sort j, 5, 2.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.34, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/6)\/(10138\/(-2028) + 5) and 12.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622.2287 hours to days.\nAnswer: 67.5928625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6419160.432 - 5.\nAnswer: 6419155.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + (-16)\/(-6). Let r = -4.77 - -4.57. Which is the third smallest value? (a) t (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2\/4 + 57*b + 1083 = 0.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*c - 1132 = 0, -5*c = o - 0*o - 1140. Suppose -1130*y - 165 = -o*y. Calculate the greatest common factor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48604806 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -25. Let g = n + -15. Is 11 a factor of (-43)\/(-4)*(-8)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 3*o + o**4 + 5*o - 7*o**4 + o**2 in the form y*o**3 + q*o**4 + w*o + b + z*o**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3 + 3)*(30282*p**2 - 30282*p**2 - 387*p**3) + 0*p**4 + p**4 - 2*p**4.\nAnswer: -388*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 28. Let n be 2\/(-5) + b\/(-30). Let r = 1.2 + -0.2. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 - 5*p**3 - p + 13*p**3 + 0*p**3 as b*p**3 + d + a*p**2 + l*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-80 - -36) - -40.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33829 - -337311\/10. Let z = a - -98. What is the second smallest value in -13, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82021ml in litres?\nAnswer: 0.00082021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, -0.4, 107986, -1\/7, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026192 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (1 + 1))\/(-1). Let b = -263\/6 - -44. Suppose -4*j - j - 25 = 0. What is the nearest to a in b, -1\/7, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211649*z**4 + 3*z**3 - z**2 + 2664083*z wrt z?\nAnswer: -2539788*z**2 + 18*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1882.8 + 5.\nAnswer: 1887.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - aa?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*i + 16*i + 67*i + 306*i)*(-4 - 6 + 3)*(-1 + 1 + 1) to the form x + y*i and give y.\nAnswer: -3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1. Let w = b - 0.3. Let r be 6\/(-63)*(-1 + (-25)\/(-10)). What is the nearest to 2\/9 in w, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1683 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14788, -29552, -44306, -59044, -73760, -88448?\nAnswer: -103102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yeeeeyeeeeeee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/3 + -3. Which is the nearest to 2? (a) m (b) -2\/17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {i: 1, c: 3, w: 5, d: 1, o: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g - 49. Let b be p(4). Let y = b - 0. Solve 2*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1893686 - 5.72.\nAnswer: -1893691.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:17 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from {v: 1, b: 7, r: 2}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 103988*r**3 + 3604466718*r**2 + 41644806901540*r - 41648411472247.\nAnswer: (r - 1)*(r + 34663)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 13753030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 766 = 689. Let m(d) = -15*d**2 - 7*d. Let f(t) = 7*t**2 + 4*t. Determine a*f(h) + 4*m(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2\/2 + 19*f - 5. Let p be i(14). Suppose 0 = 4*r - 21 + p. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 322 = -16 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/6 + 35*i**3\/3 + 555*i**2\/2 + 1327*i. Differentiate b(a) with respect to a.\nAnswer: -4*a + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/4 + l**3\/4 + 4*l**2 - l - 12 = 0. Calculate l.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 - -346.3. What is the nearest to 1\/4 in 2, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1695, 28 in ascending order.\nAnswer: -1695, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37073.56t in milligrams?\nAnswer: 37073560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**4 - h**4 - 4*h**4 + (26*h - 16*h**2 - 26*h)*(279*h**2 + 402*h**2 - 1032*h**2).\nAnswer: 5617*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 11:07 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011100110110001 - 1001?\nAnswer: -110001011100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7221001 and -0.30865?\nAnswer: 7221001.30865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1963933 - 1963933.799967. Let d = l + 0.8. Round d to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1030*g**2 + 10*g. Let u(m) = -6696*m**2 - 64*m. Give 32*f(q) + 5*u(q).\nAnswer: -520*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {x: 1, c: 2, b: 4, i: 2, k: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/6 - i**3\/3 - i**2 + 22*i. Calculate the smallest common multiple of f(-3) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1\/4*t**4 + 0 + 0*t**2 + 0*t**5 + 0*t**3 + 2*t - 1\/28*t**8 + 0*t**7 + 0*t**6. Find the third derivative of m(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*o = 2*o - 278, 0 = 2*r + 2*o - 548. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -843, -1687, -2527, -3363, -4195, -5023, -5847?\n\"Answer: 2*y**2 - 850*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*y - 7 + 23, -20 - 18 = -4*y - 34 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4419450 and 2898.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -181 (b) -5 (c) -0.15 (d) 34\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 954. Let h(f) = 11*f - 955. Give -6*h(i) + 5*k(i).\nAnswer: -i + 960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykz when three letters picked without replacement from {o: 2, y: 3, z: 4, k: 1, j: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 2556606. Let i(l) = 14*l**2. Determine t(i(b)).\nAnswer: 28*b**2 - 2556606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1375 + 2402. Suppose v = -2*p + 4*v + 509, 0 = -4*p + 3*v + a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388*l**3*o**2 + 2*l**2*o*p - 3*l*o**2*p + 9*l*o**2 + o*p - 5 wrt l?\nAnswer: -2328*l*o**2 + 4*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, a: 1, u: 5, n: 2, o: 2}. Give prob of sequence oo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let i(y) be the second derivative of -11*y + 0*y**2 + 0*y**3 + 0 - 1\/4*y**4. Calculate l(i(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1470 and 93\/392.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48.96954 litres?\nAnswer: 48969.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-16)*s)\/s*s\/(s*s*s**(-1\/22)))\/((s**(1\/7)\/s)\/s*s*s**18) assuming s is positive.\nAnswer: s**(-5251\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igyb when four letters picked without replacement from {y: 1, q: 1, g: 2, f: 1, i: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 13*a - 117 = -d, 4*a = 3*d - 327. Differentiate -93 - 105*c**3 + d*c**3 - 102*c**4 - 121 wrt c.\nAnswer: -408*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 106, 110, 130, 172, 242, 346, 490?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23427 (base 8) in base 6?\nAnswer: 114155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5889 by 39.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00194737823 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 432 + 427. Put 7, z, -5 in descending order.\nAnswer: 7, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1561635 and 4785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.1 (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/4)*f*f*f**(-1\/3)*f**(-2\/11)\/f*f**(-6) assuming f is positive.\nAnswer: f**(-629\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222094469*w**5 + w**2 - 16*w + 308226?\nAnswer: -13325668140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 227800\/(-19028) + 4\/(-142)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13265 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 804 = -16*z. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*y - 8*y - 13, -y - v - 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 9*l - 3*l**4 - 463*l**2 + 2*l**3 + 462*l**2 as c + p*l**2 + a*l**3 + f*l + g*l**4 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*((sqrt(300) - (sqrt(300) - (-1 + sqrt(300)*-2)))**2 + (-5*sqrt(300)*4)**2).\nAnswer: 320*sqrt(3) + 969608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 142.764.\nAnswer: 142.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00841 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 1297524\nAnswer: 778514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0.1 (c) 46989\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*a**2*c*p**3 - 431847*a*c*p - 3*c - 16640*p**3 - 61*p wrt a.\nAnswer: 122*a*c*p**3 - 431847*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 15*v - 2*x + 46, 6 = 2*x. Let o be v\/52 - (-3 + (-84)\/39). Let m be (-85)\/(-25) - (-3)\/5. Solve 0 = -4*f - 0*f - m*j, j = -o*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-3)\/(-27) - (-1702)\/246. Let g = -3883\/820 + j. Calculate the common denominator of g and 47\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*y + 40*y + 38*y + 108 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9420880 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkbjoxpp. Give prob of sequence pkjo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m**0)**(3\/32)\/(m*m**(-2\/11)*m*m*m**5*m**(-2\/3)\/m*m\/m**2*m) assuming m is positive.\nAnswer: m**(-6001\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-11)\/(88\/8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 7*a - 149. Determine c(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8881 < 16880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.87 + 0.95. Let g = -0.169 + z. Round g to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.7411 minus -5?\nAnswer: -9.7411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) 4 (b) 68 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x - 1. Let v be w(-1). Suppose 0*h = -h + i - 7, v*i = 3*h + 19. Calculate the remainder when 52 is divided by (-18)\/h*(3 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4737408 and 1168.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*l**3 - 8132*l - 709378?\nAnswer: -114*l**2 - 8132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21)\/d)**(4\/9)\/(d**(2\/13))**(2\/15) assuming d is positive.\nAnswer: d**(-5732\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74, 73, 70, 65, 58?\n\"Answer: -s**2 + 2*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 65576877\nAnswer: -3934612.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (534\/36*1)\/(2\/(-3)) and 2\/81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -98*m + 304. Let f be r(3). Which is bigger: f or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 55*y - 49. Let u be a(1). Calculate the common denominator of (5 + (-355)\/80)*(-4)\/u and 115\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*f = -15, 8*f = 3*f - 25. Solve -4 = 2*z + l - 2, h = 2*z - 3*l + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -31. Suppose 4*v = k - 0. Which is the closest to 0? (a) -0.3 (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -66. Let x = 1\/149 + -313\/2235. Which is the nearest to -0.2? (a) x (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 16. Let v be m(5). Suppose -2*g + 73 = v. Let a = 23 - g. Calculate the remainder when 13 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 48*f**5\/5 - 71*f**2\/2 + 68. What is the second derivative of k(w) wrt w?\nAnswer: 576*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 43*l = -x + 92818, 2*l + 464107 = 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/3915 + 136\/61857. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11939.61 months in millennia?\nAnswer: 0.9949675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/327, -5, -226.1?\nAnswer: -226.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5310613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 130 - 65 + 67867*q.\nAnswer: 67867*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102133 - -2233?\nAnswer: 1111032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)\/m**(-2\/27))\/(m**4)**12 assuming m is positive.\nAnswer: m**(-1348\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*y + 534*y - 1104*y - 5*y**2 = 0 for y.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 + 1\/20*q**4 + 3\/5*q**3 - 2*q + 27\/10*q**2. Determine u, given that y(u) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20656185 less than -104?\nAnswer: -103.79343815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 29825600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -s. Suppose -s*d + 5*b = 2*d - 75, -4*b - 45 = -3*d. What is the least common multiple of 21805\/805 + (-2)\/23 + -6 and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((1 + sqrt(208))*6 + sqrt(208) - sqrt(208)))**2 + -5 + (sqrt(104)\/(sqrt(8) - (sqrt(88) + (sqrt(88)*1 - sqrt(88)) + sqrt(88))\/sqrt(11)))**2.\nAnswer: 432*sqrt(13) + 7577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let c be 32 - (0 + 1)*-1. Suppose -4*l + c = 5*a, 4*a = 4*l + 2*a + 2. Solve 0*f = -l*f + 3*w + 10, 4*f - w - 20 = i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krr when three letters picked without replacement from rrkrkrr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-1))\/((-12)\/162). Let w = 156 - k. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660.26 greater than 14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x - 6*x)*(-3 - 1 + 7)*(-x**4 - x**4 + 0*x**4).\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*g = -247 + 215, -g = -36*l - 149 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l + 339 = 0. Let c be (2 - l)\/(-3) + 3. Let b = c - 7. Is 33 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 2*x + 1. Let j be r(-1). Let l = -5 + j. Let h = -452\/65 - -34\/5. What is the second biggest value in 1\/5, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = -27*n - 170 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132657, -1061071, -3580945, -8487975, -16577857?\nAnswer: -28646287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -557.6 - -0.16587\nAnswer: -557.43413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345200 rounded to the nearest ten thousand?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/5 of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.8. Let r = -0.8 + n. Which is the second biggest value? (a) r (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1870, -5590, -9314, -13042, -16774, -20510, -24250?\n\"Answer: -2*o**2 - 3714*o + 1846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35276 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 15 + u**2 + 53*u**3 + 16 - 7*u in the form g*u**3 + i*u + t*u**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300488215, -1, -0.4.\nAnswer: -300488215, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + -0.5. Let s = 0.6 + u. Let z be (-18)\/(-27) + (-3)\/(-9) + -5. Which is the fourth biggest value? (a) -0.4 (b) z (c) s (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278510105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466152175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62798989 = 224*x + 8*x - 1111909811. Round x to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39255434 or -39255433?\nAnswer: -39255434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10445261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 + 6\/(4 + -1). Let o = -8 + g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 72.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154235 and 466520?\nAnswer: 132025160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/18*(1620\/75)\/9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900013927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129858007 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49934960 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397 - o + 213 - 389 to c + h*o and give c.\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 14\/4)\/((-2)\/(-8)). Let i be (80\/48)\/(w\/384). Let v = -171 - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2550504 and 9.\nAnswer: 7651512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.1. Let f = 1 - l. Let x be (-5)\/2 - 4\/8. What is the second biggest value in x, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*f. What is the lowest common multiple of 3 + (-2)\/(f - -2) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8*z**6*(z*z*z\/(z**(-3\/8)\/z)*z)**(-2\/7) assuming z is positive.\nAnswer: z**(349\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 + 31 = 0. Suppose -4*w + t + 3 = 0. Factor -2 + 13\/2*f**2 - 5*f - 7\/4*f**w.\nAnswer: -(f - 2)**2*(7*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.32 - 0.277. Let b = -5785 - -5784.9579. Let f = b + r. Round f to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 100. Let z be g(-17). Let c(q) = 2*q - 4. Let d be c(3). What is the second derivative of 3*w**2 - 2*w - w**z + 2*w**d - 13*w wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -78, -74, -70, -66?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 2649*p**4\/4 + 12789*p**3\/2 - 15144*p**2 - 12795*p\/2 + 63225\/4 = 0 for p.\nAnswer: -1, 1, 5, 843\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -0.046878.\nAnswer: -4.046878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 147*y + 9. Let m(a) = -222*a - 13. Let n(d) = -5*m(d) - 8*u(d). Differentiate n(w) wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010202 - 11?\nAnswer: -1010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*l + 57*l - 161 = 1035 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64490 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {z: 1, p: 6, a: 1, j: 9, i: 2, g: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -7. Let o(j) be the second derivative of j**5\/20 + 11*j**4\/12 + j**3\/6 - 13*j**2\/2 - j - 5718. Give o(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2545452511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 2*z**3)*(2 + 11 - 6) - 3 - 2*z**3 + 3 - 33*z**3 + 13*z**2 - 13*z**2.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 4, l: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55857425 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**6\/180 + i**5\/40 + i**3\/3 - 3*i. Let f(d) be the second derivative of k(d). Find the second derivative of f(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 342*(-1 + 12\/8). Let i be f\/(-6)*(-12)\/9. Calculate the greatest common divisor of 418 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001935277 rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 152, 198, 152, -28, -384?\n\"Answer: -7*q**3 - 4*q**2 + 107*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9320 = 129*c - 3257 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20975, -20500, -19245, -16820, -12835, -6900, 1375?\nAnswer: 12380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 1, a: 4, o: 1, d: 2}. What is prob of sequence adad?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 11*b + 4. Let j be a(-9). Put j, 1, -3 in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 818375*o**3*y - 3771*o**3 - 13*o*y - 10 wrt y.\nAnswer: 818375*o**3 - 13*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 120, 182, 246?\n\"Answer: s**2 + 57*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(65) - (sqrt(65) - ((1*sqrt(65) + sqrt(65))*1 - sqrt(65)) - sqrt(65)))\/sqrt(5))**2.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -234, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -350403 (base 8) in base 16?\nAnswer: -1d103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21025390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 50*x - 613. Let q be f(-21). Sort -5, q, -13, -3 in decreasing order.\nAnswer: -3, q, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2178, 2177, 2176, 2175, 2174, 2173?\n\"Answer: -r + 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - (-3 - -5). Suppose 4*t - l = 15. Suppose -t - 2 = p - 5*c, -2*p = -4*c - 6. Calculate the remainder when 17 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/19 - 25494*n\/19 + 331760\/19 = 0?\nAnswer: -12760, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 844*g + 22. Let p be t(-16). Let l = p - -296683\/22. What is the common denominator of l and 81\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -578, -1222, -1876, -2546, -3238, -3958, -4712?\n\"Answer: -p**3 + p**2 - 640*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*n**3 - n**3 - 19*n**3 - 4*n**4 - 42*n - 16*n wrt n.\nAnswer: -48*n**2 - 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1188 + -273241\/230. Let q be (-6092)\/690 - (35\/(-21) - -1). Let n = d + q. Find the common denominator of -1\/10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3796 = 88*c - 2364. Solve -6 = 19*k + c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u. Let z(r) = 8*r**2 - 4*r. Let p(n) = 4*x(n) - z(n). Let o(t) = t. Let a(c) = -c. Let y(g) = 6*a(g) + 5*o(g). Determine y(p(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 5:09 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -830\/9 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.642 + 12.72.\nAnswer: -22.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -3957232 and -3957232 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8*b**3 + 7 + 7*b**2 - 3*b**3 + 0*b**3 in the form i + u*b**3 + g*b**2 + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-15))\/(1\/5). Let w(i) = -1. Let u(b) = 2*b**2 + 7*b + 9. Let q(z) = u(z) + 6*w(z). Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {z: 1, j: 7, v: 2, o: 4, u: 6}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2649 and 332949.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k = 125 - 21. Solve 4*v = k*j - 10 - 2, j - 9 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x - 111*x = -d + 161, -2*x = 3*d - 167. Let s = 13 + -12. What is the smallest common multiple of x and s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 6:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -515\/2 - -252. Find the common denominator of 49\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwsj when four letters picked without replacement from {d: 4, j: 1, b: 2, i: 2, w: 1, s: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 + 10 = 5*w, 3*w = -b - 3. Suppose 36 + 184 = 11*q. Solve 0 = -b*j + 8*j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d. Suppose -5*h + 10 = d, 5*h - 6 = -2*r - 0. Put r, 2, 7 in descending order.\nAnswer: 7, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-5\/6)\/g*g)\/g*g**(2\/11))\/((g\/((g\/g**(-1\/15)*g*g)\/g*g))\/g**(1\/9)) assuming g is positive.\nAnswer: g**(1511\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-4)*y*y**(-2)\/y*y*y\/y**(-2\/15)*y*y**(-2\/5) assuming y is positive.\nAnswer: y**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47370 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 28*g - 1. Let f be b(14). Which is smaller: -83\/391 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n. Let w(r) = -898312*r**2. Give p(w(u)).\nAnswer: -2694936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13 + 1 = 0. Let l be (2\/(-1) + 1)*-5. Suppose 5*a + 16 = 2*j, -j + l = -3*a - 4. Solve 0 = r*g + u, 6*g + j*u = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let n(f) = f**2. Suppose 0 = 3*b - 0*b + 6. Let t be n(b). Solve -t*m - 16 = -o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19456\/5 - 3905. Let s = 1407847\/3410 - 13256\/31. Let n = s - m. What is the common denominator of n and -93\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -2022667.844?\nAnswer: 2022667.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44520534 and 595308.\nAnswer: 623287476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in -1\/3, 65, -4, -3\/2?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 + 242. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + 1689.\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.4, 0, -1\/7, 1\/15, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*o - 3 + (0 + 1 - 3)*(o + 3*o - 3*o) - 4*o + 0*o + 2*o + 0*o + o - 3*o + 2 - 2 - 2*o - o - 10*o + 2*o to the form l*o + y and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onno when four letters picked without replacement from {n: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -621328334\/24881 + 24972. Is -1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16559386*w*y**2 + 9*w*y - 76533*y**2 + 9*y - 3 with respect to w.\nAnswer: -16559386*y**2 + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 67118820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 2\/9 (c) -562.7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**3 + 2*h + 2. Give l(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4 - 21 + 3 + 12 - 10*c - 2. Let o(p) = p. Calculate -3*o(w) - t(w).\nAnswer: 7*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 2465*d**2 + 13244*d - 9924.\nAnswer: -(d - 827)*(d + 6)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.213 - -0.013. Let j = a + -4.8. Put 0, j, 5 in decreasing order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -44*b. Let h = -57 + 76. Let y(d) = d**2 + 7*d - 13. Let n be y(h). Let s(x) = -481 + n + 2*x. What is l(s(t))?\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f - 3. Let t be 4\/(28\/(-63)) + 149. Suppose -4*s - 16*s = t. Let r(a) = -25*a + 7. Calculate s*d(b) - 3*r(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.697643 litres?\nAnswer: 6697.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 558902 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away -0.14184562034?\nAnswer: -23.85815437966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 565, -50, -1\/5, -2 in ascending order.\nAnswer: -50, -2, -1\/5, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 24*h**2 + 0*h**3 + 0*h**4 + 0 + 0*h + 1\/60*h**5. Let i(l) = -1 + 0 + 1 - 13*l**2. Calculate i(u(k)).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 7*g**3\/3 - 3*g + 430. Let a(w) = -20*w**2 + 8. Let z = -13 - -5. What is z*c(l) - 3*a(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 1216 - 2152 = 0 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 26 = 0. Let l = z - 8. Suppose -98 = -3*d - 2*c, -l*d + 62 = -3*d + 2*c. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 + 589 + 26 + 556)*(16*r + 35*r**3 - 18*r**3 - 15*r**3).\nAnswer: 2080*r**3 + 16640*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67821 and 2405.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5476 + -38331\/7. Put -2\/11, 3, -1\/8, p in ascending order.\nAnswer: -2\/11, -1\/8, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -c + 9, 26*c = 22*c. Solve x*v - 12 = 3*z, z + z + v - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311939764 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1 - 10 - 7 + 3*t + 5*t + t**2. Let g be z(-10). Suppose -g*s - 550 = -7*s. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -489, 11.6, 1, 4 in decreasing order.\nAnswer: 11.6, 4, 1, -2, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/71 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + l = k - 14857, 0 = 3*k - 4*l - 11133. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2555*z - 299. Let i(q) = -1277*q + 163. Let l(k) = 11*i(k) + 6*s(k). Let m(c) = c**2. Give m(l(f)).\nAnswer: 1646089*f**2 - 2566*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:44 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040733.6 nanoseconds in hours?\nAnswer: 0.000001122426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by -4?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 26*s**2 - 22*s + 53. Calculate x(-25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108169501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6*c + 32. Let f = 24 - 12. Calculate the remainder when f is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from eseessss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11\/4, -1\/2, 1\/10, -4, 1\/35, -367?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 97, 109, 119, 127?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 1. Let d = 5 - 2. Suppose k - 5*f = -17, -5*f = -0*k + 3*k - 9. What is the nearest to k in m, d, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172877?\nAnswer: 3, 390959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7852 + -126.\nAnswer: -127.7852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f + 4. Let a(p) be the second derivative of 25*p**3\/6 + 3*p**2\/2 + 1411*p. Determine -4*a(s) + 3*k(s).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*x - 8 = 0, -2*x = a - 0 + 4. Let g = 5 + -2. Let f be g\/(-6) - (-33)\/90. Are a and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -15. What is the remainder when 31 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008531 rounded to four dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5730155526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 5335?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 + v**2. Let n be p(-1). Suppose -n*t + 22 = -10. Calculate the greatest common divisor of 72 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1203505*n**4 + 74*n**3 - 489900253*n**2.\nAnswer: 28884120*n + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44491690.\nAnswer: 2, 5, 509, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -180, 3782?\nAnswer: 3782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -13. Let u = 33 - 28. Put s, u, 0 in increasing order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 16, -6*v + v = -4*r + 20. Find the third derivative of -20*y**6 - 4*y**6 + 162*y**2 - 153*y**2 + 0*y**4 + 3*y**5 + r*y**4 wrt y.\nAnswer: -2880*y**3 + 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9784481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1226 + -1220. Which is the fourth biggest value? (a) -1\/4 (b) u (c) -14 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1465 - -1419 - (-3 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n**3 + 1\/2*n**5 + 0*n + 0*n**2 + 1\/2*n**4.\nAnswer: n**4*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1150.9 - -1151. Is y <= -4\/1295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5*y + 0*y**4 - 51\/2*y**2 + 0*y**5 + 0*y**6 + 1\/3*y**3 + 43\/42*y**7 + 0. Find the second derivative of k(o) wrt o.\nAnswer: 860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-3)*1131\/(-377).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:28 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let k(i) = -5*i - 9. Let u(v) = -4*h(v) - k(v). Let t be u(11). Let o = -76 - -156. Calculate the highest common factor of t and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223236649487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 31. What is the third derivative of 13*k**4 - k**2 - 25*k**x - k**2 + 25*k**3 wrt k?\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22229103 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/5*l**2 - 4\/5*l**4 + 0*l + 32\/5*l**3 + 0.\nAnswer: -4*l**2*(l - 7)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 421 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -9. Let u(v) = 3*v**3 + 7*v**2 - 11*v - 29. Let j(z) = -2*z**3 - 5*z**2 + 10*z + 24. Let t(r) = -4*j(r) - 3*u(r). What is the units digit of t(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.07 + 0.07. Let z = 16.86 - -0.14. Let k = r + z. Which is the third biggest value? (a) -1\/6 (b) -1\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -318228?\nAnswer: -318228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*p + 74*d**4 - 2*d**3*p + 297*d**2*p + p wrt d.\nAnswer: 72*d*p + 1776*d - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12800550*w**3 + 162924710*w**2 wrt w?\nAnswer: 76803300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 12. Let h be z(-6). Suppose 16*j - 19*j = -h. What is the remainder when 149 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 11) in base 10?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)\/(-3 + (-4)\/(-1)). Let q(g) be the first derivative of -5*g - 3\/2*g**z + 2 + 1\/3*g**3. Give q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20627*p - 62303*p + 20831*p + 1 - 1 + 20838*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830*s + 1825*s = 4*g - 24, -7 = -3*g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -0.4, -1, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 7*m**4\/4 + 72*m**3 + 1755*m**2\/2 + 1350*m - 1380. Factor z(s).\nAnswer: (s + 15)**2*(7*s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4\/5 (c) -0.07 (d) 2\/3 (e) 1\/458 (f) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10696974.\nAnswer: 2, 3, 1782829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*v - 3429 = 0, 4*v - 1232 + 5772 = 4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 89. Find the second derivative of -3*u - 11*u**2 - w*u + u + 30*u**2 wrt u.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.8 + 36. Let i = p - -0.8. Which is the nearest to i? (a) -5 (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/2916192 and -71\/128.\nAnswer: 11664768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 14. Let i be c(42). Let f(m) = 3*m**3 + 85*m**2 - 11*m - 25. What is the thousands digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -625565 divided by 5?\nAnswer: -125113","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v - 8 - 14 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1294*d - 308 = -5757 - 1021 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*u - 2 - 250*u**2 - 230*u**2 - 4 - 2 + 704*u**3 = 0. Calculate u.\nAnswer: 2\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-27))\/(-2)*3. Let a = -0.4 - 15. Let m = 14.9 + a. Put l, m, -0.14 in decreasing order.\nAnswer: -0.14, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/33)\/((-310)\/682)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 13 = 8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493009184 and 1796.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 136\/15101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 + 72 = 5*f. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g - 1. Let a(o) = o**2 + o - 2*o + 1 - 2 - 2*o**2. Calculate a(u) + h(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {g: 3, x: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347784469.\nAnswer: 347784469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 116985915, 233971833, 350957751?\n\"Answer: 116985918*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4\/2 + 475*l**3 + 1915*l**2\/2 + 480*l.\nAnswer: -5*l*(l - 192)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*g + g - 4, -3 = -4*g - 3*d. Which is the nearest to -2\/3? (a) 2 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(196)\/sqrt(4))\/sqrt(7) + -4.\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42243084 divided by -1.\nAnswer: -42243084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 5*i + 60. Let b be i\/(39\/(-14) - -3). Suppose -2 - b = -5*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468309 times 0.5?\nAnswer: 234154.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 20 = 2*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 358662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68071.\nAnswer: 68071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36929 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**5\/20 - 5*f**4\/16 + 3*f**3\/4 - 7*f**2\/8 + f\/2 - 11. Factor w(n).\nAnswer: (n - 2)*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 > 669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 = 569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 30*h - 28833*h**2 - 28*h + 5 + 28833*h**2 - h**3. Let j(n) = -2*n**3 + 3*n + 8. Suppose 2*k + 5 + 11 = 0. Give k*r(u) + 5*j(u).\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = 15. Let l = n - -58. Let c be ((-16)\/5)\/((-1)\/5). Calculate the highest common factor of c and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1896 + 22212 = 12*a. Which is bigger: 2010 or a?\nAnswer: 2010","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1119, 1109, 1089, 1059, 1019?\n\"Answer: -5*h**2 + 5*h + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952767 is divided by 390.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 3*v - 4*v)*(3 + 0 - 2) + (4 + 0 - 2)*(5*v - 57*v - 100*v).\nAnswer: -307*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 6. Let h be a(8). Solve 4*d + h = -18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.4. Let r = -5 - -9\/2. Let j = 67 + -71. What is the nearest to r in 0, t, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**2 + 130*o + 334. Determine v(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-7 + -4 + -6 - -6) + 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let v be w(1). Let g = 1 - -2. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 456*o - 24 + 519*o in the form c*o + a and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -6\/13 (b) 2\/7 (c) 2\/17 (d) -1.5 (e) -9 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 212 = -257 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 3, 3*h - 47 = -s. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/24)\/((-2)\/(-156)) - -3. What is the highest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2375.\nAnswer: -4, 0, 2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 8}. Give prob of picking 2 f and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 125?\nAnswer: -9\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*q + 3 = -0*q, -7 = 2*x + 3*q. Let r = x - 20. Let o = r - -27. Solve -y + o*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 3*x**3 + 4*x + 3*x as o*x**2 + w*x + g*x**3 + a and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 4, s: 8, z: 5}. What is prob of picking 2 z and 2 s?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + i + 2)*(-4*i + 4*i + 2*i**2) + (44 + 5 + 9)*(4*i**2 - 3*i + 3*i)*(-13*i - 3*i - 3*i) in the form v*i**3 + g*i**2 + l + a*i and give v.\nAnswer: -4406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7578 - 18002?\nAnswer: -10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 716649 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/((-2)\/6))\/(10\/(-270)). Let n = c - 80. Suppose 2*u - 6 = -5*x - n, -u = 5*x. Which is greater: -0.22 or x?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(11\/6))**(-6\/29) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -298a - 450?\nAnswer: -321a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2444, -2682, -2924, -3170?\n\"Answer: -2*f**2 - 232*f - 2210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -46*k - 30. Calculate s(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 4. Let l(s) = 1 - 3 - 1 + 2. Let j(o) = -o**2 + 6*o - 3. Let g be j(4). Give g*l(i) + c(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = 3*z, 0 = 2*o + 3*z - 0*z - 3. Let i(b) = -b**3 + 4*b**2 + 6*b - 10. Let j be i(5). Sort o, j, 2 in ascending order.\nAnswer: j, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + -1 + sqrt(7) + 2 + sqrt(7) + -5)**2.\nAnswer: -8*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*j - 102*j - 12. Suppose 0 = 4*m - 4 - 8. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15 + -19)\/4)\/(7\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.8049?\nAnswer: -4.0245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqffeffefgefqeg. Give prob of sequence eg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -0.5, 1504?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -0.3, -44, -4, -7 in descending order.\nAnswer: 11, -0.3, -2, -4, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/20 - x**4\/12 + x**3\/6 + x**2 + 12*x. Determine p(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -487636000 to the nearest one million.\nAnswer: -488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 165 = 13*t. Let q be -5*(-9)\/t*(-2)\/(-3). Let k(p) = -p**2 + 6*p - 1. Let g be k(6). What is the biggest value in g, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 42*d**2 - 26*d. Let s(q) = 141*q + 6. Let y(u) = 23*u + 1. Let a(t) = -s(t) + 6*y(t). Give a(c(k)).\nAnswer: -126*k**2 + 78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -2.06. Let n = -15.019 + 0.019. Let h = n - -12. Sort h, -4, c in decreasing order.\nAnswer: c, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01668980344 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -28, -2052, 4, 7 in decreasing order.\nAnswer: 7, 4, 1, -4, -28, -2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nln when three letters picked without replacement from mnmmmmmlmmmntnnnm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -13. Let g = -149.25 + 148.75. Which is the closest to k? (a) -0.1 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22656 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: Let s(v) = v + 7. Let o be s(-5). What is the second derivative of 0*i + o*i + 2*i + 6*i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*a - 44, -5*a + 75 = 4*x + x. Let s(r) = 2*r - 26. Let q be s(x). Suppose -30 = -q*b - 0*b. Solve 10 + 5 = -b*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.24293, 0.3, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(9\/((-36)\/4)). Solve 4*k + 28 = -n*a + 5*a, 2*a - 2*k - 18 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 5303304.7947?\nAnswer: -5303303.8947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:08 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 234 = -n. Suppose 5*v - 353 = -n. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.65 + 0.6499792. Round p to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -11, -64, -169, -344, -607, -976?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 190*t**3 + 193*t**3 - 40.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -325.36 - 0.2\nAnswer: -325.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418701?\nAnswer: 3, 233, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 102*c - 294. What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80732 and 60.\nAnswer: 1210980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(((-945)\/(-22599))\/(-35)). Which is the third smallest value? (a) 0.5 (b) -2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153669\/(-362)*(-2 - (-124)\/(-6))?\nAnswer: 2, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -806*a**2 - 4022*a\/5 + 8\/5 = 0.\nAnswer: -1, 4\/2015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*8\/(-180))\/((-5)\/(-15))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from drcamsdm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(5\/(-90)). Let f = 13 - l. Suppose -j + 2 = -0*j, -w + f = j. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.761341 + -0.238659. Let w be (3\/(-54))\/(1\/(-4)). Put -1, 0.1, o, w in descending order.\nAnswer: w, 0.1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.843259526 to 3 decimal places.\nAnswer: -3.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 9. Let b be c(11). Suppose -b*h = h. Solve h = 4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:31 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4 - 14*t**2 + 12*t = 0?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 8*n**2 - 15*n + 7. Let p(y) = -4*y**3 - 9*y**2 - 19*y + 7. Let h(t) = -4*p(t) + 5*v(t). Give h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 - 4*m**3\/3 + 3*m + 1. Suppose 44 + 12 = -7*c. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3041 - -2894.9. Let s = 133.32 + z. What is s rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 1\/(-4))*8\/(-3). Suppose 4*p + 4*f = 22 + s, 3*f - 30 = -4*p. Suppose 4 = 2*w - 0*w. Calculate the smallest common multiple of w and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/8 - (-8)\/32. Is 4 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34139983 rounded to 4 dps?\nAnswer: -0.3414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/10 - 2*p**4\/3 - 7*p**3\/6 - 6*p**2 + 40*p - 1. Let z be d(5). Solve 7 + z = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 7*n + 14. Let v(g) = -4*g**2 + 8*g - 17. Let u(p) = 4*v(p) + 5*z(p). Determine u(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 936\/44 - (-62820)\/23034\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + h + 0*h + 0*h.\nAnswer: h - 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81104 by -148.\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230303121 (base 4) to base 14.\nAnswer: b85a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 + q**4\/6 - 19*q**3\/6 + 5*q**2\/2 + 5*q - 26. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 10 = 5*y, -41 = -y - 46 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110366581 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 - -87. Let g be ((-24)\/n)\/((-27)\/7 + 4). Solve -13 = -g*c + x, -7 = -2*c - 0*c + x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188.5*-0.2\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4299 = -5*a + 331. Suppose 2*y + 136 - a = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 5963424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 2*a**2 + 279*a + 539*a + 200*a + a**2.\nAnswer: 2*a*(a + 509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.903476 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.832815ug in kilograms?\nAnswer: 0.000000000832815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*u + 236*u - 73559. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from wxzlzzljjjlxjjljwzzj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sowloovsvoowowowm. Give prob of picking 1 s and 1 w.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*c - 1, 3*c = -3. Let s = d + 1. Suppose 2*v + 0*v + 6 = s. Is v equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:35 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6124, -24497, -55124, -98005?\n\"Answer: -6127*i**2 + 8*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 27*s - 6 = 0. Let h(f) = f**2 + 10*f + 11. Let l be h(-9). Factor b**2 + 0 - 4*b - 2*b**2 + 4 + l*b**s.\nAnswer: (b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 83*r**2 + 2*r. Let w(d) = d**2. What is w(t(l))?\nAnswer: 6889*l**4 + 332*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 3*g. Let k(p) = 2*p**2 + p. Let s = 6 + -5. Let r = s + -4. Calculate r*h(z) + 7*k(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-67)\/2 + -1)*20\/(-15). Let i = h - -14. What is the greatest common factor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22749275537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/12 + o**3 - 17*o**2\/2 - 2*o + 48. Let c be y(-8). Sort 3, c, -14 in increasing order.\nAnswer: -14, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let w(v) = -40*v - 6 - 7 + 13. What is o(w(q))?\nAnswer: 80*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 4*g + 3. Let i be h(-1). Solve -3 = -i*x + 4*t, 5*x - 22 = -t + 2*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127? (a) 4 (b) 155.27 (c) -3 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/(-10) + 113\/565 and -11\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 5*m - 4. Let n be 4\/38 + 3 - 62\/589. Determine t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73*(-2)\/(-30) - (125 + -120)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from nnnnzznnznz.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 43 = -3*m, -14*s + 5*m = -17*s - 35. Let q be 1\/s - 3276\/140. Is q greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2890*j - 3119. Calculate h(1).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 8. Let c = 31 - r. What is the highest common factor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3032, -5\/3, -53?\nAnswer: 3032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 7*q + 410 = 0. What are the prime factors of (-6)\/4*q\/(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -13. Suppose -3*w - 4 = 4*t - 29, 0 = 3*w - x. What is the smallest common multiple of 6 and ((-28)\/10)\/(t\/(-10))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 6*b - 14. Let k(s) = 76*s + 534. Let y be k(-7). What is x(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36596 - 18298 - 18300 - 114*l**2 + 781*l**2 + l to k + o*l + h*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + b + 1292 - 648 - 640 - 43*b**3 in the form l*b**2 + o*b**3 + i*b + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b**2 - 4*b + 6. Let n(z) = -z**2 + z - 1. Let q(s) = -a(s) - 6*n(s). What is the second derivative of q(d) wrt d?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmm when three letters picked without replacement from mcpccmmmcmccjmmjjcmj.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 8*y**2 - 11*y - 10. Let r(a) = -a - 1. Let z(s) = -5*r(s) + t(s). Let v be z(7). Solve 0 = 5*m + 5*p, -v*m - p + 6 = -2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*q + 4*q + 130, 4*m - 4*q = 180. Let n = m + -35. Which is the closest to n? (a) 1 (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c + 39. Let a be l(-7). Let y(x) be the first derivative of x**3\/3 - 3*x**2\/2 + 7*x + 2. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -166*y + 167*y. Let a(h) = 2*h**2 + 5*h + 1. Let z be a(-4). Let n = y + z. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 - -1311\/7. Sort 0.5, h, 0.4.\nAnswer: h, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15433021 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 561\/7. Let k = 33.26 + -31.26. Which is the nearest to v? (a) 0.2 (b) -1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*((-1)\/(-4))\/(1\/(-2)). Solve 4*r - 3*y + 10 = 8*r, -7 = r - m*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 4 (c) -0.009 (d) 6 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 80. Let h be (2\/(-4))\/(((-6)\/(-12))\/a). Calculate the smallest common multiple of h + 18 + (2 - 5) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r. Suppose 6*i + 1 = 5*i. Let n be u(i). Let c = 145 + -147. What is the closest to -0.1 in n, 4, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from lkkkolk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1 (b) -5 (c) -0.05187 (d) -2\/11 (e) -1\/8 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3258 divide 125599470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -91*s - 4463. Let k be g(-49). Let z(p) = 10*p**2 - p + 13. Let d(r) = 3*r**2 + 4. Let n(b) = -7*d(b) + 2*z(b). What is n(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 - 3426648*z**3 + 17133274*z**2 - 27413256*z + 13706632 = 0.\nAnswer: -1713329, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 28021498*n - 196301087541001.\nAnswer: -(n - 14010749)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2397\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:25 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.8752632832 and -674.3?\nAnswer: 669.4247367168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 12*i**4 - 502816*i**3 + 670380*i**2 + 838008*i - 335200 = 0.\nAnswer: -1, 1\/3, 2, 41900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.003 - 0.091. Let b = 0.014 - -0.016. Let a = b + i. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 - 197. Put 3, c, -2, -8 in ascending order.\nAnswer: -8, -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 12397.\nAnswer: 24794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*t**2 - 5*t**2 - 153*t**3 - 6*t**2 - 10*t**2 - 4*t**2 in the form k + d*t**2 + z*t + n*t**3 and give n.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, s: 2, l: 2}. What is prob of sequence shs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800507618?\nAnswer: 2, 101, 3962909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 - 10313285*c**4 + 51566345*c**3 - 92819375*c**2 + 72192830*c - 20626520 = 0. Calculate c.\nAnswer: 1, 2, 2062652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34618*p**2 + 0 + 34676*p**2 - 3 to l + w*p**2 + z*p and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) 5 (c) -2 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from oxxoirffxxxxdddrxdx.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/8 in -9, 3, 515?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -14 + 44. Suppose 2*x + 15 = 5*k, 0 = -x - 3*x + 4*k. Sort w, x, 4 in descending order.\nAnswer: x, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.231664.\nAnswer: -0.926656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*q - 504, 2*q + 5*z = 218 + 18. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 318729.5ug?\nAnswer: 318729500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -54. What is the derivative of h - 39*q**4 - 8 + 23*q**4 - 11*q**4 wrt q?\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2448) + 4*(sqrt(17)*-3)**2 - -4*(0 + sqrt(272)*2 + sqrt(272))**2.\nAnswer: 12*sqrt(17) + 10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. Let k = -2.87 + -0.33. Let v = l + k. Sort 2\/3, 0, v in descending order.\nAnswer: 2\/3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*4.7\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 499\/7. What is the nearest to -2 in 1\/11, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010001011 (base 2) in base 16?\nAnswer: -88b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*l + 58*l - 32 - 118*l)*(-6 - 2 - 1) in the form h*l + f and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i - 106*i + 56 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38753 - -60153. Round g to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 58.3055?\nAnswer: -77.3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034137.\nAnswer: 3, 23, 43973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 11:40 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*8*(-7)\/(-56). Find t such that -21\/5*t**4 + 24\/5*t - 73\/5*t**3 + 17\/5*t**2 + 4\/5 + 49\/5*t**o = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 times 55?\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4134*l**2*o*z**3 + 13033069*l**2*o*z**2 - 4*l**2*o - 2*l*o*z**2 - 3*l*z - 24527*o*z**3 wrt z?\nAnswer: -24804*l**2*o - 147162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/8 - (-1 + (-1)\/(-2)). Let i(q) be the third derivative of 0*q**4 + 2*q**2 + 0*q + 0 + 1\/5*q**y + 2*q**3. What is the derivative of i(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 5*k**4 + 52*k**3 - 51*k**3 - 3*k + (0 - 3 + 1)*(-4*k**4 + 6*k**4 + 0*k**4).\nAnswer: -5*k**4 + k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**5 - 14*y**5 + 4*y**5 + (3*y + y - y)*(-2*y**4 + y**4 + 0*y**4) - y**5 - y**4 + y**4.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*p + 6*t - 9, 2*p - 13 = 13*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 1. Let j(x) = -2*x**2 + 2. What is j(g) - l(g)?\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350388 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15 and 21.77?\nAnswer: 6.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2 + 19*r + 0 - 17*r - 2*r**2 + 7*r**2. Suppose 103*q = 106*q + 9. Let v(t) = 3 + 5*t**2 + 3*t - 3*t**2 + 4*t**2. What is q*k(c) + 2*v(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n - 5 + 11 + 6 + 14 + 101*n**2 wrt n.\nAnswer: 202*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 3*p**3 + 3*p**3 + p - 14 + 16 + 3*p**3 + p**2 to the form c*p**3 + j*p**2 + n + h*p and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4 + 48*x**3 + 864*x**2 + 6912*x - 26. Let r(f) = 0. Calculate f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m - 9. Suppose h + 373 = 377. Suppose 3*x + x + 40 = 5*i, h*x + 16 = -i. What is z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*51\/18 + -9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-13 + -2 + (-20 - (33 - 119)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 27. Let i(d) be the third derivative of -d**4\/24 + d**3\/3 + d**2. Give i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c. Let h(w) be the second derivative of w**5\/60 + 7*w**2\/2 + 6*w. Let a(q) be the first derivative of h(q). What is j(a(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80) - ((sqrt(245) - (sqrt(245) + 3)) + sqrt(5)).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(320))**2 - ((sqrt(720) - (-4 + sqrt(720))) + 5 - sqrt(720))**2.\nAnswer: 72*sqrt(5) + 2088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((931\/19)\/(-49))\/((-74)\/2)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20185107 is divided by 332?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30640815?\nAnswer: 3, 5, 263, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**3 - 48 - 3*n + 6*n - 95110*n**2 - 1214 - 1112 + 95113*n**2 wrt n?\nAnswer: -15*n**2 + 6*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13808 is divided by 1206?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16195\/369 + -21 - 20?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22*g**4 - 7*g**2 + 2*g - 537. Let b(f) = -21*f**4 - 7*f**2 + f - 536. Let l(h) = -3*a(h) + 4*b(h). What is the second derivative of l(d) wrt d?\nAnswer: -216*d**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -22. What is the remainder when (3036\/23)\/(-66)*54\/(-4) is divided by (-25)\/(-4) - 6\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9120000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*y - 11, -w + y + 0*y = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -22. Let m = 21 - g. Suppose 5*q = -m*q. Solve -2*v = 5*o - 0*o + 5, q = 2*o + 2*v + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose 2*y - 3*d = 23, -3*d = y - 8*d - 22. Suppose 1 = a*l - y. Solve c - 3 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2319 - -1491. Let m = -4228 - o. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267 divided by -6\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6201633 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6582 and 108?\nAnswer: 118476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2245119*u + 3. Let l be k(1). Let m = l - -9345131. Suppose 0 = -3*z - c - 10649995, c = 2*z - 2*c + m. Round z to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0373 + -0.0373. Let f = 20 + -20.13. What is the nearest to v in 1\/4, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 3, 688, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by 321.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9154, -0.1, -2\/225?\nAnswer: -9154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(90) - sqrt(10))*4)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.024 - -36.976. What is the second smallest value in -4, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.5 + -5. Let f = 14.5 + -15. Let y = i - f. Which is the nearest to y? (a) 5 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31 = 2*c, 2*c = 6*c - l - 7. Suppose 670 - 1678 = c*w. Is 17 a factor of 2\/5 - w\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -66*g - 16. Let b(f) = -13*f - 3. What is 16*b(s) - 3*p(s)?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**3 + 2*a**3 + 3*a**3)*(1 + 8 - 7)*(47 - 12 - 9) to f*a**3 + u + d*a**2 + t*a and give f.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 251969785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/12 + b**3\/6 + 29*b**2\/2 + 16*b. Let f be r(8). Is f > -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(325) + 1 + sqrt(325))*-4)**2 + -1.\nAnswer: -1280*sqrt(13) + 21055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:15 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-34))\/(1\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 15*i - 24*i + 5 + 8. Let d be t(-10). Let h(o) = 44*o**2 + 49*o**2 - d*o + 1 - 134*o**2 + 40*o**2. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.98 + 2. Let o = m - -0.08. Let i be (-22)\/(-102) - (-1)\/(-3). Which is the nearest to o? (a) 0.2 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from ikahaoaokok.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -769, -6214, -20973, -49702, -97057?\n\"Answer: -776*t**3 - t**2 - 10*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1759 + j - 1352 - 346 + 1002 as b + a*j and give b.\nAnswer: -2455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/(-2 + 0). Let l = 1.5 - 1.66. Let i = 0.16 + l. Which is the nearest to -1? (a) i (b) n (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(25\/2)\/((-3180)\/20988)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 4*w**2 + 1\/4*w**4 - 109 - 2*w**3 - 8*w. Calculate r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16151.\nAnswer: 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbbhhbbbhhbbhhbbbhh. Give prob of picking 2 h and 1 b.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjh. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-3)\/(-3)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) - 89\/(-5). Let n = 0 - 0. Suppose 3*v = -n*v + 81. What is the greatest common divisor of v and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x - 18\/5*x**3 + 48\/5*x**2 - 3\/5*x**4 + 0.\nAnswer: -3*x**2*(x - 2)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55.424 and 0.1?\nAnswer: 55.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 46\/3 (b) -1\/17 (c) 1\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416*z - 1417*z = -1. Let d(k) = k**3 + 6*k**2 + 2. Let i be d(-6). Let g be (1\/2)\/(i\/4). Is z greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186888 - 373776 + 55*h + 186896.\nAnswer: 55*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -975*x**4 + 22126*x**3 + 71*x**2 - 221859 wrt x.\nAnswer: -23400*x + 132756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 t when four letters picked without replacement from {w: 2, t: 4, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(2057))**2 + 1 + ((1 + sqrt(17) + 0)*-2*5)**2.\nAnswer: 178*sqrt(17) + 3859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/(-1) - 5. Let g = -1 - -1. Let h(w) = g - 3 + 2 + w. Determine h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*v**4 + 3*v + 36*v**4 - 3*v - 20*v**2 wrt v?\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -206*u**2. Let n(z) = 4*z**2 - 13*z. Determine n(s(h)).\nAnswer: 169744*h**4 + 2678*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14 - 5 - k + 2. What are the prime factors of b(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103101 by 716.\nAnswer: -103101\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -32. Let y = 949 + -944. Solve -5*n - y = -p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(24)\/sqrt(3)) - 1*sqrt(45) - (1 + (sqrt(720) + 3 + 0)**2)) + 1.\nAnswer: -729 - 74*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 7*p + 9. Let x(a) = a**3 - 15*a**2 + 13*a + 21. Suppose -16*h = -13*h - 42. Let i be x(h). Calculate t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 361*d**2 - 728*d**2 + 364*d**2 - 15*d - 1 + 3*d as t*d**2 + k*d + b*d**3 + h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/10 + p**4\/6 - 2*p**3\/3 + 2*p. Factor u(a).\nAnswer: 2*a*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 2 = 30*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 0.23\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79429 times -2.5\nAnswer: -198572.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126474?\nAnswer: 2, 3, 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*t = 126*t - 5355 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.105445 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1)\/((-4)\/(-74)). Let n be 5*(g\/35 - 1). Let q = 42.92 - 43.32. Sort -0.1, n, q in decreasing order.\nAnswer: n, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(704)*3)**2.\nAnswer: -31680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853819*l**2 - 1707759*l**2 + 853771*l**2.\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/4 + 957*z**2\/2 + 3*z\/4 - 957\/2 = 0. What is z?\nAnswer: -1, 1, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2781 + -2775. Solve w = -2*z, -2*g = -5*z + 8*z + 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10295786 less than -10295769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 8*r**7\/21 - 47*r**3\/6 + 10*r**2. What is the first derivative of b(s) wrt s?\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 55 - 1. Suppose -v = -y - 14. Which is greater: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (2 - -1) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59201882 to the power of 1\/2, to the nearest integer?\nAnswer: 7694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 160, 356, 552, 748?\n\"Answer: 196*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*h + 8 = 0, -2*a + 3*h = a - 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**4 + j**3 - 2*j + 1. Let b(q) = -14*q**4 - 164*q**3 - 14*q - 43. Let k(f) = -b(f) + 5*s(f). What is the second derivative of k(a) wrt a?\nAnswer: 48*a**2 + 1014*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -25. Suppose -y*w = w + 16. Find the common denominator of w\/(-4)*(-136)\/(-36) and 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-4) + (57 - 55)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10067, -10091, -10115, -10139, -10163, -10187?\n\"Answer: -24*h - 10043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*(-14)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+-0.176\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g**3 - g**3 + 4*g**3)*(-2 + 6 - 2) + 17*g**3 - 183*g**3 - 344*g**3 to the form d + s*g + q*g**3 + w*g**2 and give q.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9380)\/50)\/(-14) - (-12 - (-55 - -24)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -241 - -731\/3. Which is bigger: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -28. Let i(g) be the first derivative of 0*g**4 + 2*g + 0*g**3 - 2 + 0*g**q - 1\/5*g**5. What is the derivative of i(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.1, 1, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 0 + (-28)\/((-4)\/2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 41479336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**3 + 10*t**3 + 7*t**3 - t**6 - 40*t**2 - 10*t**2 wrt t.\nAnswer: -120*t**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -239 + 253. Calculate the lowest common multiple of 128 and l.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -824, 0, 8.\nAnswer: -824, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -13968 and -14418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p, b + 5*p = -0*p + 16. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/2 (c) 5 (d) 31 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5948*k + 53523. Determine l(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (20 - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122221 (base 4) to base 16.\nAnswer: 36a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/34 + ((-41144)\/612 + 67\/603 - -1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*x = -i - 4, -4*i + 8 = 2*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(125) - sqrt(125))*-2 + sqrt(125))**2 - ((-1*(sqrt(125) + 2) - sqrt(125))**2 - sqrt(125))) + -5.\nAnswer: -348 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -1595 in decreasing order.\nAnswer: 9, 2, -1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**6\/3 + 64*d**5\/5 + 45*d**4 - 216*d**3 - 65. Solve z(x) = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and -1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 164*c - 1314.\nAnswer: -2*(c - 73)*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 229*a - 456. Determine x(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/137 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 6.688112.\nAnswer: 80.257344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 9) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1047592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10.4. Put -1\/2, -2, s in descending order.\nAnswer: s, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/432 and -13\/72?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12733759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4986953877.\nAnswer: 3, 71, 577, 40577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 + -114?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 534.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = -5*m + 28, 28 = 4*m + 3*c. Let d(y) = -y - 41. Let r(x) = -x - 20. Let j(n) = m*d(n) - 9*r(n). Differentiate j(f) with respect to f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 4.\nAnswer: -18, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(1\/(-20)))\/1. Suppose 0 = -0*d + 2*d - n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 5*t + 4. Let f(g) = -g**2 + g + 2. Let i be f(-3). Let a be 1\/5 - (-32)\/i. Calculate o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 3*x**2 - 7*x + 10. Let z be i(-5). Suppose 3*t + 0*t + 2 = 2*k, -3*k + 2*t - 2 = 0. List the prime factors of -26*z\/k*-1.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58949 + 187454. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 107 - 110. Calculate the remainder when 152 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - k**3 - 3)*(-48 + 2*k + 359 - 152).\nAnswer: -2*k**4 - 159*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -838 - -819.9. Do a and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/94711 or 0?\nAnswer: 2\/94711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64054892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 7*l**2 - 5*l - 6. Let b be j(6). Let t(w) = -3*w + 3*w + b*w - 2*w**2. Let f(c) = -4*c. What is t(f(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 479?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, -6*r - 6 = -4*v - 0*v. Which is the third smallest value? (a) 0 (b) r (c) 2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = -0*g. Suppose -3*h + 5*y = -g, 22 = 2*h + y - 5*y. Factor 6*n - 4*n**2 - 6*n**3 + 0*n**2 + 1 + h + 0*n**2.\nAnswer: -2*(n - 1)*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -10*w**2 + 6 + 2*w + 4*w**2 + 3*w**3 - 6*w**3 + w = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414647287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*x - 14*x + 1 + 0 + 0 + 31*x in the form c*x + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35494 is divided by 709?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/83125 and 67\/151050.\nAnswer: 26433750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -797, -360, 263, 1066, 2043?\n\"Answer: -j**3 + 99*j**2 + 147*j - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:09 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.7 - 744693316.\nAnswer: -744693337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 131*l - 127*l. Let x(f) = 71*f**2 - 35*f + 1. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2*0.4\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 16*b - 17 = 12*b, 4*b - 26 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/sqrt(108) - (-6*sqrt(513) - sqrt(57)))\/(1*sqrt(75)*-5).\nAnswer: -58*sqrt(19)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344 or 354?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 - -268. Let q(d) be the third derivative of 1\/70*d**5 + 0*d - 1\/735*d**7 - 1\/420*d**6 + 0 + 6*d**2 + 2\/21*d**3 + 5\/84*d**u. Factor q(p).\nAnswer: -2*(p - 2)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -197*z**5\/60 - 23*z**3\/6 - 3*z**2 - 34. Differentiate r(a) with respect to a.\nAnswer: -394*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**6\/30 + i**5\/20 - i**4\/6 - 2*i. What is j in h(j) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224863 grams in micrograms?\nAnswer: 224863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 19 = d + 2*d, -3*y + d + 1 = 0. What is the smallest common multiple of 5 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - b = 1094, 36 = -t - 4*b + 1105. Calculate the highest common factor of t and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-240)\/(-252))\/(6\/3668). Let m = -583 + l. What is the common denominator of -37\/81 and m?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*z + 6825 + 11407, 3*z = -2*a + 13660. What are the prime factors of z?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -0.21 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 4, o: 6, s: 1, m: 1, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/7 - 1979*a**3 - 483592*a**2\/7 + 525156*a\/7 + 142128 = 0. Calculate a.\nAnswer: -13818, -36, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.4, 0.5, -26583 in descending order.\nAnswer: 10.4, 0.5, -26583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -48.213?\nAnswer: -49.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/98293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2824 and 9870233.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7488)*-1 - sqrt(7488) - sqrt(7488)) + sqrt(7488))*2 - (sqrt(7488) + -2*sqrt(7488))*-2)\/(sqrt(16)*-3*1*1).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4548\/43 at most as big as 76\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 11. Let x be ((-1)\/3)\/(68\/(-1020)). Let v(g) = -2*g - 11. Calculate x*p(u) - 6*v(u).\nAnswer: -3*u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:41 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.56 in -0.23, -0.069, -1\/6?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 14995575.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o - 83. Let r(n) = -21*n - 81. Let m(q) = 2*l(q) - 3*r(q). Differentiate m(z) wrt z.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -72. Let h = 21 + -34. Put 3, h, n in increasing order.\nAnswer: h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/58 - -15\/29. What is the closest to -0.1 in -4\/5, 3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 196158396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357318 is divided by 581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -704?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411*m**2*u**2*w + 4*m**2*w + m**2 - 5*m*u**2*w + 7*m*u - 4*w wrt u.\nAnswer: -822*m**2*w - 10*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68\/3*a**2 + 40\/3*a**3 + 32\/3*a + 0 - 4\/3*a**4 = 0. Calculate a.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 18 - 23. Let h(w) be the first derivative of -w**2\/2 + w + 45. Let z(t) = 6*t - 6. Calculate x*h(l) + z(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 95. Let o = -68 + g. What is the remainder when (8\/(-5))\/((-2)\/25) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.7 (c) -3\/5 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 138 (c) 38 (d) 6114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*-2*(130*-2)\/10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, d: 1, b: 2, n: 3}. What is prob of sequence nu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*p + 104*p = d - 340, 0 = -5*d + 2*p + 1717. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159416386 a multiple of 2273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - -5 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10518\/997 < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 7*v**2 - v - 4. Let f be p(5). Let i = -56 + f. Suppose t = 3*j - 135, j + t = 40 + 5. What is the greatest common factor of j and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/(c*c\/c**(-6)))))**(-1\/43)*(c\/c**(-4\/9))\/c*c*c*(c\/c**(1\/5)*c)\/c assuming c is positive.\nAnswer: c**(6548\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*i - 6*i + 28 = 0, -5*j + 10 = -2*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1656 and 71\/144.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 (base 12) in base 4?\nAnswer: 103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -72. Let t be 2\/(-2) + 3 - (-11 + -253). Suppose -3*p = -17*p + t. What is the remainder when r is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.557587\nAnswer: -0.2787935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1133467 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8800*t**2 + 398*t**2 + 3 - 3705*t**2)*(-t**2 + 3*t**2 - t**2 + (-2*t + 5*t - 2*t)*(-2*t + 1 - 1)).\nAnswer: 12107*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9707, 9870, 10135, 10502?\nAnswer: 10971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/30 + 31*t**5\/120 - 5*t**3 + 18. Let y(f) be the third derivative of q(f). What is the second derivative of y(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198342052 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from pppbbksbskppk.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -g + 6594, -g + 5*g - 3*c = 26430. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1518?\nAnswer: -5\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*v + 85 - 115 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11568813.28 rounded to the nearest one thousand?\nAnswer: -11569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8390.699 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -44*u. Let g be h(-3). Let i = -124 + g. Let t(b) = b - 5. What is t(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - 46b887?\nAnswer: -46b793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440471.\nAnswer: 11, 149, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -149, 0.3, 67225, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46944*j*v**3 + 2*j*v + 702536*j - v**4 wrt v.\nAnswer: 281664*j*v - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2393, -4905, -7547, -10325, -13245, -16313?\nAnswer: -19535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3953 or -1?\nAnswer: -2\/3953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 + 13*y**2 + 13*y + 23. Let o(t) = -t**3 + 3*t**2 + 3*t + 6. Determine 2*m(u) - 9*o(u).\nAnswer: u**3 - u**2 - u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*x - 21*x + 7140. Calculate the greatest common factor of 28 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 81855 = -t, 20 = -31*u + 36*u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*6\/(-9))\/2. Put -10, i, 3, -4 in decreasing order.\nAnswer: 3, i, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5976 and 44073.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a millimeter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {w: 2, j: 4, g: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 33 - d - 95 + 27 + 31.\nAnswer: 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 72*z**2 - 63*z + 138 = 0. What is z?\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-6))\/((-1)\/66*-2). Let f(y) = -u*y**2 + 27*y**2 + 15*y**2. Let l(o) = -15*o - 16 + 7 + 9. Give f(l(b)).\nAnswer: -450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 1496 = -10*s. Let r be s\/34 + (-76)\/(-18). Let j = 1.4 + 7.6. What is the nearest to r in j, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4376*x**3 + 4277*x**3 - 8592*x**3.\nAnswer: 61*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027 divided by 9518.\nAnswer: 1027\/9518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -743, -1110, -1475, -1838?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44459*d + 22237*d - d**2 + 22222*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 48*x**2 + 143*x + 785. Give j(45).\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25239 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 - 10*r**3 + 2680*r**2 + 30810*r + 68445 = 0.\nAnswer: -13, -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 2*o - 1. Let i(c) = c**3 - 17*c**2 + 24*c - 64. Let v be i(15). Let q = 151 + v. Let m(y) = 3*y**2 - 4*y - 2. Give q*m(j) + 5*k(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/12)\/d**1*(((d\/(d*((d*d**3*d)\/d)\/d)*d)\/d)\/d)\/((d\/d**(2\/11))\/d)*d**7\/d**(2\/7)*(d**(-1))**(2\/11) assuming d is positive.\nAnswer: d**(137\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/144 and -83\/160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6255 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdicg. What is prob of sequence ic?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261280 or -261257?\nAnswer: -261257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let a(b) = b**3 - b**2 + 3*b - 5*b - 3 + m*b**2. Suppose -4*u = -u + 9. Calculate a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 3:12 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g + 108000. What is g rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 8*n = 30. Put n, 0, 12, 1 in ascending order.\nAnswer: n, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.087 and 7852945.4.\nAnswer: 7852948.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39172 + -864\nAnswer: -40036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 3)\/5*56965\/582. Let m be 432\/(-291)*1\/(-2). Let q = m + w. What is the common denominator of -45\/11 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = -f - 0*f, -x - 4*f + 4 = 0. Let v = 16 + -10. Let d = -5 + v. Are d and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2982 - 2*x - 9347 + 3190 + 3182.\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n - 3*n + (4*n - 2*n - 4*n)*(-2 - 3 + 4) - 3 + 3 + n)*((n - 4*n + 2*n)*(-2*n + 2*n + 2*n**2) + (-3 + 3 - 2*n)*(-8*n**2 + 3*n**2 - 28*n**2)).\nAnswer: 320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 - 0.11. Let m = 0.1 + o. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24650455 a multiple of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 8*t**2 - 2*t - 6. Let h(v) = -7*v**3 - 16*v**2 + 4*v + 11. Let o(c) = -2*h(c) - 5*n(c). Determine o(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 38*g**2 + 81*g - 32. Let o be u(36). What is the highest common divisor of 219 and o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415*8730\nAnswer: -3622950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101 + 6 - -55)*(-2)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/9)\/7*0. Find y, given that k + 0*y**2 - 6\/5*y**3 + 8\/5*y + 2\/5*y**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 77 - 85 = -k, 5*k = 4*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0)\/r)**(-7\/3)\/(((r*r\/r**(17\/2))\/r*r)\/(r**(-1\/22)*r)) assuming r is positive.\nAnswer: r**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -34583.\nAnswer: -34583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -494*u + 10265. Determine r(21).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2 + 0 + sqrt(832) + sqrt(832) + 1*(2 + sqrt(832)) - ((sqrt(364)*-2 - sqrt(364))*5)\/((sqrt(252) - sqrt(252)*1) + sqrt(252) - sqrt(7)))**2.\nAnswer: 18772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rggggr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r - g - 29, 0 = 4*r - g + 24. Sort -1\/7, -4, r in ascending order.\nAnswer: r, -4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*z + 3*s, -8 = -3*z - s - 1. Solve c - z*c = 4*x - 6, -c = x - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, q: 4}. Give prob of sequence qyqy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/774 and -13\/387.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/7 (b) 2 (c) 0.09 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-44)\/176)\/((2\/(-28))\/((-32)\/(-112)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let x = -6 - g. Let w be 8\/x*(-18)\/(-30). What is the biggest value in 0, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6160932922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.3 + -0.3. Let c = -72 - t. Let y = c + 83.83. Round y to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*h + 157440 + 46885 = -3284*h for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - n + 12 = 0, -7*o - n + 60 - 70 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 42. Suppose r*a = l + 18, 0*l = -l + a - 3. Let y be (l + 0)*(-18)\/(-2). Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2413 - 2413. Suppose 5*w + 10 = -3*f + 6*w, -3*f - 8 = -2*w. Sort 5, f, -9, o in increasing order.\nAnswer: -9, f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r + 72*r = 0. Let a(t) be the second derivative of 21*t + 0*t**2 + r - 1\/9*t**4 - 2\/9*t**3 + 1\/60*t**5 + 1\/90*t**6. Find l, given that a(l) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 4*d**2 + 4*d - 7. Let l be 0\/1 + 20\/1. Suppose 3*f = -f - l. Calculate i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 3. What is c(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*b - 5, -4*b - b + 12 = 3*d. Let a be -1 - (-2 - d)*2. Is -2\/9 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.219 and 10.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q - 4*q)*(53 + 39 - 158).\nAnswer: 132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u. Let l be k(1). Suppose g - 3 + 1 = 0. Suppose -g*r + 5 = 3*r. Solve 0 = 3*w + l - r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114830944\/13 or 8833149?\nAnswer: 8833149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -96145 and -96279 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5503134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 19 = -n - 0*o, 0 = n + 2*o + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 73*r**2 + r. What is the tens digit of q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129562?\nAnswer: 2, 1564781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95230 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*a - 3 = 402*a + 2*l, 49*a + 2*l - 647 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.66 (b) 1 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j + 30. Let q = 5 + 6. Let c(t) = 7*t - 10. Let s(v) = q*c(v) + 4*y(v). Differentiate s(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930932261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4179946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -47. What is the second biggest value in u, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3013*c - 13041*c - 3295*c - 5626*c.\nAnswer: -18949*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -550\/3? (a) 3 (b) 17911 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 8. Let h = -211\/588 - -5\/196. Put h, 3, 4, t in decreasing order.\nAnswer: 4, 3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*l + 4\/9 - 1\/3*l**2.\nAnswer: -(l - 2)*(3*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 7, 108524 in descending order.\nAnswer: 108524, 7, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/6 + 2699*z**2\/6 + 1822499*z\/6 + 1819801\/6 = 0.\nAnswer: -1349, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1\/11, 0.2, 0.0578, -56.7, 0.011?\nAnswer: -56.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*a + 2 = 0, -4*u + 9*u = -2*a - 8. Let r be (-1 - -1) + (u - -1). Suppose -34 = 15*p + 41. Sort r, p, -3.\nAnswer: p, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1\/2*q - q**2 + 1\/2 = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let v = -7158\/7 + 1023. What is the nearest to k in 0, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/6121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*d + 157*d - 3330 = 0. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-12)*2088\/(-85956)*(-2)\/(-1)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 13*p**2 - 15*p - 13. Suppose -2*x = 2*b + 30, 0 = -0*b - b - 5*x - 19. Let o be n(b). Sort o, 5, 0, 8 in descending order.\nAnswer: 8, 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/(-90) - 15\/(-150). Sort j, 1, -1\/10 in increasing order.\nAnswer: j, -1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 146*d - 152*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111001111111011101 (base 2) to base 10\nAnswer: -237533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*(-5*(sqrt(272) - (2 + sqrt(272))))**2 - ((-2*sqrt(272)*2 - sqrt(272))**2 + -2)) + 5).\nAnswer: 6593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.1 + 110.1. Let p = 2 + -1. Which is the closest to p? (a) d (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52340861.\nAnswer: 1327, 39443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 94855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/7 (b) -5.9 (c) 1\/27 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306598*l - 58560 = -1304768*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 39*h + 56*h - 1210 + 7483 = 0 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1577059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5 = 14 + 19 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:19 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v*v**(-1\/5)*v))**(-32)*((v*v**(-2\/5)\/v)**(7\/6))**(-27) assuming v is positive.\nAnswer: v**(-609\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:30 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.03. Let d = y + -0.12. Which is the closest to 0.1? (a) 0 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 - 19*h - 3. Let j(f) = 36*f**2 - 77*f - 13. Give -2*j(m) + 9*q(m).\nAnswer: -9*m**2 - 17*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 4)*(2*i - 2*i - 2*i)*(-58*i**2 - 69*i - 29*i**2 + 67*i) to the form s + u*i**3 + v*i + x*i**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 27*c**3 - 5*c**2 + 5*c + 5. Let i(t) be the first derivative of -209*t**4\/2 + 77*t**3\/3 - 77*t**2\/2 - 77*t - 1195. What is 77*a(v) + 5*i(v)?\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2016285768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3824 + 2157. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*0\/((-121)\/11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0178 + -243.0178. Let h = 240.18 + b. Let f = 0.02 + h. Round f to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326.48 + -326.48000073635. What is c rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - -1213) + 0\/(-1). Suppose 0 = 13*z + 226 - c. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30602 and 1246336.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -3\/2 (b) -2\/3 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.011 and -71?\nAnswer: 70.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, -r + 12 = 4*s - 0*r. Calculate the smallest common multiple of 4 - (-7 + (7 - s)) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t**2. Suppose 71 = 3*u - 6*p + p, -3*u + 4*p + 67 = 0. Let j(f) = -6*f - 2*f**2 - 11*f + u*f. Give j(s(o)).\nAnswer: -1682*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0493851 + 1.3.\nAnswer: 2.3493851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8957.749 seconds to nanoseconds.\nAnswer: 8957749000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -987765.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2 - (-12)\/6. Suppose l = -l + z. Let s be (-5)\/(-1*5\/l). What is the second smallest value in -1, s, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4 + 289140*k**3 + 4*k**2 - 1156560*k = 0?\nAnswer: -2, 0, 2, 289140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*o + 354*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 5342252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*y = 100*y - 1056. Calculate the highest common divisor of y and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 681 + 155 + 1236*v + 48*v + 216*v wrt v.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001867 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23 = 2*c - 4*c, 0 = -5*c + 20. Suppose t*i = -4*j + 215, 4*j + 3*i - 150 = 75. Is j at most 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -15*p**2 - 2988*p - 597 = 0?\nAnswer: -199, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/((-8)\/(-2))*1*-13*(-60)\/(-260)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10007762325 - 2*h - 10007762325.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 512*y**2 + 2. Let q(i) = -14*i**2. What is d(q(a))?\nAnswer: 100352*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17093794, -34187598, -51281402, -68375206, -85469010, -102562814?\n\"Answer: -17093804*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 12:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 + 12 = 0, 0 = 3*d - 3*g - 18. Suppose -5*z + 314 = d*f, 5*z + 7*f = 4*f + 313. What is the common denominator of (4\/(-364))\/(2\/z) and 19?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 24*s + 3 = 0. Let b be 231 + ((-4)\/18 - (-8)\/36). What is the tens digit of b*(-2)\/s*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/144*11\/(55\/(-2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}