diff --git "a/data/dm_maths/full_data_2/1150_11255.jsonl" "b/data/dm_maths/full_data_2/1150_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1150_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 0 = -4*g + 2 + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -1) + (-21 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and -0.049.\nAnswer: 6.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/(-6)) - -3. Suppose -5*m - 2*t + 15 = r, m - 5*t + 0 = 3. Suppose q - 140 = -m*q. Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277174 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66\/5, 2\/7, -1, -2 in increasing order.\nAnswer: -66\/5, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169*14\/546*(-2)\/(-26)*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 16. Let a be 3*(1 - g\/(-9)). Solve -y + 16 = -a*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11088 * -1.93.\nAnswer: 21399.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -828 by -4.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.259 (c) -0.4 (d) -1\/3 (e) 6.2 (f) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 + -185. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {o: 2, u: 6, f: 5, a: 1, t: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/731712 and 187\/960.\nAnswer: 3658560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 714.\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005202353 rounded to 7 dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 22589?\nAnswer: 22586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64484 + 164?\nAnswer: -64320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 172268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34256294.\nAnswer: 2, 43, 379, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, j: 2, e: 8}. What is prob of picking 2 j and 1 x?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {c: 1, a: 2, o: 4, j: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707616?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61046454 (base 8) to base 13\nAnswer: -288581c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpfppoppopff. What is prob of sequence oop?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16501, 17754, 19007, 20260, 21513, 22766?\nAnswer: 24019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*c**2 + a**3 + 2408*a**2*c**2 - 10*a*c**2 - 74*a - 4 wrt a?\nAnswer: 18*a*c**2 + 6*a + 4816*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6275751 is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**6 + l**5 + 21*l**3 + 12573*l**2?\nAnswer: 960*l**3 + 60*l**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 45996.\nAnswer: 137988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 - 4*h**2 - 2*h - 3. Let f(q) be the second derivative of q**5\/20 - q**4\/12 - q**3\/6 - q**2\/2 + 91*q. Calculate 3*f(j) - s(j).\nAnswer: -3*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*u + 33 = 0, 4*u = -0*n - 3*n + 42. Suppose -v + n = c, 5*v = 3*c + 8 + 42. What is the remainder when 51 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 - 13218*r**2 - 118816*r - 105600 = 0. What is r?\nAnswer: -6600, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(13) - sqrt(52)\/sqrt(4))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d**3 + 0 + 0*d + 1\/78*d**5 - 56*d**2 + 1\/780*d**6 + 0*d**4. Factor q(u).\nAnswer: 2*u**2*(u + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 plus -862?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29412229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 40*c**2 + 2*c.\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -16. Let p = y + -11.65. Let n = 0.349981 - p. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23042175 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10833569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15675\/45)\/209*3\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**3 + y**2 + 2*y + 1. Let f be h(-1). Let b = -8 + f. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**3 + 5 - 5 + (-q - 5*q + 3*q)*(q**2 - 6*q**2 + 3*q**2) - 368 - 16*q**3 + 4*q + 368 as r*q**2 + p*q**3 + d + l*q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 40*a - 434553. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.846435 hours in weeks?\nAnswer: 1.076466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-30)\/(-5)))\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3*u**2 + 1252*q**3 - 2*q**2*u**2 - 154*u**2 with respect to u.\nAnswer: -2*q**3*u - 4*q**2*u - 308*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*r**2 - 2 + 131*r**2 + 2 - 59*r**2 - 113*r to the form j*r + q*r**2 + i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211.1 * 0.5.\nAnswer: -105.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3602, 1.1, 0.2, 1\/60?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2\/(4\/30). Let d be (-6)\/u - 24\/10. Is d\/(-2 + 4) - -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/10 + t**3 - 6*t**2. What is the first derivative of k(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31058552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3769 or 3839?\nAnswer: 3769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 869 - 601. Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1116 and 50034?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -571835.17 and 0.2.\nAnswer: -571834.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110 - 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0 - 2*j**2 - 1\/4*j**4 + j - 1\/6*j**3 - 1\/20*j**5. What is the least common multiple of 14 and k(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 2*z**2 - z - 1. Let t be f(3). Suppose t*u - 85 = 3*w, -u - 4*u + 2*w + 80 = 0. Suppose -27*h = 36*h - 6*h - 285. Solve h*m = -4 + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.94 + 0.64. Let x = 0.076 - -59.924. Let f = 56 - x. Which is the fourth biggest value? (a) 2 (b) -1 (c) f (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 - 58*h**2 + 9*h**2 - 72*h**2.\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 9*h. Let q be w(5). Suppose -y = -q*n + 119, 4*y - 28 = -4*n + 3*n. 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: Let x be (-6 - 3) + (137 - 125). Solve -4*h - 22 = -x*o, -3*h - 3*o + 7 - 13 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 3*i + 9. Suppose -67 + 52 = 3*y. Let c be -2*(-2 - -7)*(-2)\/y. What is u(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -22038, 7 in descending order.\nAnswer: 12, 7, -22038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 k when four letters picked without replacement from {v: 2, m: 2, i: 3, k: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 2*h**2)*(1 + h - 1 + (-3*h - h + 2*h)*(1 + 0 + 2) - 7*h - 2*h + 2*h).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-14))\/(2 + -4). Let w(r) = r**2 - 4*r + 16. Calculate w(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let v(p) be the first derivative of 205*p**2\/2 + 2*p - 165. Determine m(v(g)).\nAnswer: -84050*g**2 - 1640*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -9*k**8\/56 - 37*k**4\/12 - 36*k. Find the third derivative of t(z) wrt z.\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -43.\nAnswer: 60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times 18826?\nAnswer: -1167212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -4 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6266621258.7 and 0.5.\nAnswer: 6266621259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -5*t, 6*k - 14 = 2*k + t. Let h = 193915 + -969572\/5. Which is the closest to 0? (a) -1\/2 (b) 1\/3 (c) k (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28879? (a) -0.5 (b) 0.389 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 222249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/504 and 113\/13161008.\nAnswer: 118449072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 21. Suppose 209 = 5*m - 506. Calculate the highest common factor of l and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6 - (112476\/(-780) + 146)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2830 - -2800. Sort y, 2, -3 in ascending order.\nAnswer: y, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + (-106)\/(-265)*125?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6614*m + 4*m**2 - 1 - 3*m**2 + 13249*m - 6635*m.\nAnswer: m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -l, 6*w + l = 9*w - 12. Let j(t) = t**3 - 6*t**2 + 21*t - 13. Calculate the remainder when 47 is divided by j(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 5 (c) 115 (d) -2 (e) 547\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**(-39) assuming g is positive.\nAnswer: g**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 586, -33 in decreasing order.\nAnswer: 586, -1\/4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -19932240?\nAnswer: -19932229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732 = 17*j - 1664. Let x(a) = -2*a**2 - 3*a + 9. What is x(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588789.\nAnswer: 4588789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 49\/7*(-20)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 145.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -66, -167, -320, -531, -806, -1151?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 4*j. Let r(f) = -6*f**2 - 5*f. Let i(s) = 3*r(s) + 4*w(s). Give i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523317 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68396 - 68396.0000041301. Round j to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -11*j**6\/120 + j**5\/30 + j**4\/12 + j**3\/6 + j**2. Suppose 31*a = 5*q + 27*a + 13, 3*q + 3*a - 3 = 0. Give t(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 - 854 = -40*f + 143*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 619836 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/6 + -4)*3. Let k(u) = -u - u**3 + 2*u**2 + 3 + 3*u**2 - v*u**2 - 15. Let l be k(0). Which is greater: l or -13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(400)*-2)\/(sqrt(88)\/(sqrt(66)\/sqrt(6))))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 + 6*t**2 - 23*t + 6. Let p(c) = 11*c**3 + 11*c**2 - 46*c + 11. Let l(q) = 6*p(q) - 11*v(q). Find the second derivative of l(x) wrt x.\nAnswer: 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -603656, -8 in increasing order.\nAnswer: -603656, -10, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10b52 - -12?\nAnswer: -10b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 131*r**2 - 129*r - 256. Let t(h) = 5*h**2 - 2. Let l(i) = -5*t(i) + 5*x(i). Factor l(m).\nAnswer: 5*(m - 2)*(m + 1)*(m + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-4) + (-68)\/(-272)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -2. Let r = b - -5. Is 2 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f\/f**(-1\/4))\/(f**(-9)\/(f**(-7)*f)) assuming f is positive.\nAnswer: f**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 143. Suppose -2*b - 10 = 3*a, g*b = -9 - 6. Is 16 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3466 and 514701.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*d**2 - 36*d**2 + 44*d**2.\nAnswer: 102*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*s**3 - 12*s**2 - 9*s.\nAnswer: 3*s*(s - 1)*(7*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3830 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -5*n. Is (828\/8 - n - 0)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 13. Give f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/83, -1, 0.5, 0.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9*(2 + -5). Is b + (2 + 139 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212100222222211 + 11?\nAnswer: 1212100222222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 482 + -57. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*(-450)\/(-30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 - -4. Let l = i - -0.2. Let f(b) = -b**3 - 9*b**2 + 9*b - 5. Let n be f(-10). Put n, 3, l in decreasing order.\nAnswer: n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 2, z: 4, j: 3, y: 1}. Give prob of sequence vvy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33442 and 2944.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 9434859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271926 is divided by 5035?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, r: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 8200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n)**(4\/9)\/(n**(-2\/5)*n\/(n\/(n**2\/n*n*n))) assuming n is positive.\nAnswer: n**(-331\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/28 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 194217553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 - 16*r + 3*r + 0*r.\nAnswer: -13*r + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 257\/6 (b) 1\/350 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.65 - -438681?\nAnswer: 438658.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/5, -2185, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 37 and 1\/3433 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 10439?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - 66\/8. Let t(c) = -355*c + 0 + 2*c**2 + 363*c + 1. What is the units digit of t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 8 + 2 - 107) + -37 + 19?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 - 56*g\/3.\nAnswer: -4*g*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:54 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2555 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -54. Suppose -5*z + 24 = 4, 2*j + 3*z - 14 = 0. Which is the second smallest value? (a) j (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j + 2*j)*(961*j + 2436*j + 226*j)*(-2*j - 3*j + 3*j) to the form r + g*j + q*j**2 + m*j**3 and give m.\nAnswer: -7246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385 + 594. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 119\/(-120) - (2 - 3). Let h(f) be the third derivative of 0 - f**2 - 1\/12*f**3 + a*f**5 + 0*f**4 + 0*f. Solve h(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 2149 = -316*o + 880. Let s(y) = -19*y**2 - y. Let i be s(1). Let j = i - -29. Calculate the remainder when o is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 69*u + 150.\nAnswer: -3*(u - 25)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(27293 + 13279*t**2 - 27293) to h*t**2 + y*t + j and give h.\nAnswer: -13279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n + 130. Let q be g(9). Let j be (q - 2)\/((-6)\/(-42)). Let t(d) = -35*d - 7. Let a be t(-5). What is the highest common divisor of j and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157.95 - -157.909916. Let h = -0.039 - j. Round h to five decimal places.\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221160, 883738, 1988034, 3534048?\nAnswer: 5521780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2\/85 (c) 8 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - 4*u - 2*u)*(-u - 5*u + 5*u + 30*u + 43*u + 2*u + (0*u + u - 3*u)*(-1 - 2 + 0)) in the form l*u**2 + a*u + p and give l.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(-1\/3))\/(n**(1\/5))**(-2\/25)*((n\/(n**(-3\/5)*n))\/(n**3*n))\/(n*(n\/n**(-1))\/n)**(2\/5) assuming n is positive.\nAnswer: n**(-3944\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 7.1. Let c = 1.83 + -2.78. Let x = c + 5.95. Sort a, 0.3, x in decreasing order.\nAnswer: x, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + -1.23. Which is greater: 21 or l?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 51, 114, 203, 318, 459?\n\"Answer: 13*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312406?\nAnswer: 2, 181, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/8574734 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792) + -6*(sqrt(792) + -2*sqrt(792) + sqrt(792)) - 4*-2*sqrt(792))\/(sqrt(4)\/(-2*sqrt(2) + sqrt(2)) + sqrt(2) + sqrt(50)*2).\nAnswer: 27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -563 - -573. Solve 15 = 5*c + 5*t, 5*c + b*t - 6*t = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48\/11 in 3\/11, 1\/3, 614, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -723?\nAnswer: -723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -110001010101101110010 (base 2) to base 4\nAnswer: -12022231302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2694*z + 1364*z + 1436*z + 1643*z + 2.\nAnswer: 7137*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9849)\/(-6) - 3026\/(-356). What is the greatest common divisor of g and 3795?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Suppose -8*w = -19 - 5. Solve -12 = i + 3*a + 2*a, w = -a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 22. Find the second derivative of 24*f - 6*f - t*f**5 - 15*f**5 + 4*f**5 wrt f.\nAnswer: -400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382317148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 15*j**2 + 3*j - 43. Let a be o(15). Let t be 10 + (-19)\/a + (-14)\/4. Put 1\/57, 0.1, 4, t in ascending order.\nAnswer: t, 1\/57, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31831313 to the nearest integer?\nAnswer: 5642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18153.349682 + -0.1?\nAnswer: -18153.449682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 33. Suppose -4*v = -w*v + 40. Suppose t - v = -t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -21. Does 28 divide 2\/c*-2*-107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 1436. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -30*c + 34*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845613783.\nAnswer: 3, 7, 59, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1007, 2006, 2997, 3980, 4955?\nAnswer: 5922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - -18. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007013 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 10}. What is prob of sequence oppo?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86078066831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.533733 to two decimal places.\nAnswer: -8.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 - -4.4.\nAnswer: 57.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*d*p + 759*p wrt d.\nAnswer: -59*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -0*o + 2*q, 0 = 3*o + 5*q - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 + -120441?\nAnswer: -120190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -2*t + 365. Let p = 6166 + -6142. What is the greatest common divisor of p and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -132*x - 132*x + 269*x. Let v(q) = -9*q. Calculate v(h(l)).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 303*g = 21*q - 298*g + 9, 4*g = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/307680 and 59\/194184540?\nAnswer: 1553476320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 42. Determine y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4 - 43506*b**3 + b**2 + 43506*b = 0.\nAnswer: -43506, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-819)*7\/9*6.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2604125 or -2604126?\nAnswer: -2604126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 587*r + 2350. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 4 + 2*y**3 + 21.\nAnswer: 2*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1034312 - 141?\nAnswer: -1040003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11413791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Suppose 2*v + 2 = -2*h + 8, 4*h - 12 = -v. Suppose -d + 3 + w = v. Solve -2*x = -d - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -41 (c) 1 (d) -4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 5*y + 5. Suppose 0 = -5*k - i - 29, 18 = -4*k - i - 5. Let r be p(k). Let w(o) = -33*o**3 + 1. What is the tens digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187578\/3773 smaller than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(12)\/sqrt(4) + -5 - (4*sqrt(300))**2))*1.\nAnswer: -sqrt(3) + 4803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0 + 11*t + 0*t**2 + 1\/60*t**5 + 0*t**3 + 1\/18*t**4. Factor b(g).\nAnswer: g**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(2))**2 + -5 + ((sqrt(162) + 0)**2 - (sqrt(2) - (1 + sqrt(2))*-6)**2).\nAnswer: -84*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 - -255. Suppose -s = -18*d - 5. Solve d = -4*o - 4, -1 = n - 3*o + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 3. Let c(x) = 9*x - 3. Let y(s) = 13*s - 5. Let g(p) = 7*c(p) - 5*y(p). Suppose -82*f + 77*f = -40. What is f*w(h) - 5*g(h)?\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 362429440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 7*t**2 - 6. Let l(a) be the third derivative of a**6\/120 - a**5\/60 + a**3\/6 - 7*a**2. Calculate 6*l(n) + w(n).\nAnswer: n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(7\/5) assuming w is positive.\nAnswer: w**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 466 + 529*u + 434 - 1457 + 479 with respect to u.\nAnswer: 529","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5 + 24*o + 82 + 10*o - 29*o + 20*o. Let g be q(-3). Solve -11*z = -g*z - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.6 - -60.3. Let i = 2\/867 + 2585\/6936. What is the closest to -3 in i, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p*p)**41*(p\/(p**4*p))**(-4\/15) assuming p is positive.\nAnswer: p**(2476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 48. Let x be w(0). Suppose -51*l = -x*l - 15. Solve -3*i - l = 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 2206 and 43.\nAnswer: 94858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*h - 2*w - 13, 4*w - 40 = 3*h. Let b(g) = g**2 + 8*g + 3. Let j be b(h). Suppose -j*q - 2*q - 50 = 0. Which is greater: -12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/51698 and 37\/11.\nAnswer: 568678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**3*m**3 + 2*c**3*m + 14*c**2*m + 14*c + 10*m**3 wrt c?\nAnswer: -30*c*m**3 + 12*c*m + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386 is divided by 774.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*p**2 + 32\/3*p - 1\/3*p**3 - 12.\nAnswer: -(p - 2)**2*(p + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1883592 divided by -26161.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 16. Suppose -n*d + 21 = 5*j + 84, -d - 4*j - 13 = 0. Let w = d - -32. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 282?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79519649 to the nearest integer?\nAnswer: 8917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*w - 6*w**3 - 4*w + 0*w**2 - w**4 - w**4 + 32*w + 2 + 5*w**2 to the form l*w + n*w**3 + f*w**2 + h + p*w**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l. Let f be -3 - (16 + 0\/1). Let c = f + 35. Let g(m) = -6*m**2 + 16*m. Let y(v) = v**2 - 3*v. Let s(p) = c*y(p) + 3*g(p). Give s(n(b)).\nAnswer: -338*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 114. Solve 3*m = -2*m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 18 = m - 5*x, -1303*m + 1307*m + 3*x = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 + 2.1. Let q = 11.9 - s. Let l = 18 + -17.8. Sort -0.4, l, q in decreasing order.\nAnswer: l, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 89. Solve -5*q - 3*n + 2 + 2 = 0, 3*n = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4, 5*z - 4*m - 226 = 3*z. Find the third derivative of 50*r + 46*r + 52*r**3 + 6*r**3 - z*r - 7*r**2 wrt r.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*h - 182*h + 2 - 38*h**2 + 368*h as x*h + w*h**2 + n and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 6. Calculate the lowest common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - n = 72. What is the second derivative of -4*c**3 + 7181 - 7171 + 3*c**3 + n*c - 92*c**5 + c**3 wrt c?\nAnswer: -1840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122252 + -122252.3. Let w = -11.24 - -11. Is a less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105571209 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**26))\/(b*b**25) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007400 rounded to the nearest 10000?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 0*h + 432 = 0. Let i = -61 + 85. Calculate the greatest common factor of h and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293614 (base 10) to base 16.\nAnswer: -47aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61074 divided by 205\nAnswer: 61074\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96900751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10470 divided by -2\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 293137*(-5)\/(-760) - 5. Let g = r - 1924. Find the common denominator of g and 39\/2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1631.6\nAnswer: -14684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2202361 (base 7) to base 13\nAnswer: -95a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3780 and 41940?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27) - sqrt(3))**2 - ((1 + sqrt(3))**2 + sqrt(3) + -3).\nAnswer: -3*sqrt(3) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmnnqmmvnvmqvl. Give prob of sequence lqvq.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*j + 29 + 29 - 58 in the form i*j + g and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 68 = 1255. Solve -57 = -6*o - z for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32665, 29, -4 in descending order.\nAnswer: 29, -4, -32665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*f - 1521 = 84*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 851183491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10*-31630\nAnswer: -316300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 33*m**4\/2 + 7*m**3\/3 - 2*m**2 - 142. Find the third derivative of i(q) wrt q.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 4*i**2 - i - 3. What is f(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, -877, 4, -5.\nAnswer: -877, -5, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39019 + -38869. Solve -31*h + 61*h = -a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Solve -5*u = -2*m + 25, 3*m - 30 = -w*u + 5*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21231 - 2210033?\nAnswer: -2231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/9 - 626\/(-18)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100313 - 0?\nAnswer: 100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -3027 (c) -4 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoz when three letters picked without replacement from okzllszosoos.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 72*n**4 - 141*n**3 + 70*n**2.\nAnswer: -n**2*(n - 70)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107388866 to the nearest integer?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1246.5 years to centuries.\nAnswer: 12.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2736706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 - 5352*o**2\/5 + 2386992*o\/5 - 354866144\/5.\nAnswer: 4*(o - 446)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16486 + 16486 + 25*h)*(2 - 4 + 3)*(-4 + 3 + 2 + (4 + 1 - 3)*(-2 + 0 + 3) + 1 + 3 - 3 - 4 + 2 + 1 - 1 + 5 + 2).\nAnswer: 225*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + 35*z**2 + 4*z**2 + 6*z**2 + 5*z**3 as t*z + p*z**2 + v + g*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -209\/12352?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**8\/u)*u)**40\/(((u**(-14)*u)\/u)\/u**12) assuming u is positive.\nAnswer: u**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 33*f**2 - 33*f + 2. Let q be c(34). Let n be 4 - 2 - 1*-1. Suppose n*p - 108 = q. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9623*q - 7506. Is s(143) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, z: 1, c: 3, m: 4, h: 4, s: 1}. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 - 2 = 0. Suppose -2*k + r + 11 = 2*r, r - 20 = -5*k. Suppose -5*t = p*b + 20390, 3*t + 20402 = -k*b + 4*t. Round b to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 0 + 0 + 4*w + 0*w. Let a be r(-4). Let y = -71 - a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from hfhqkkqkkhqkqkqqqhkq.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148118832 divided by -43.\nAnswer: 3444624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2 - 14*g. Let s(j) = 5*j**2 + 5*j. Let x(o) = 8*s(o) + 3*u(o). Let w(a) be the third derivative of -a**4\/24 + a**2. Calculate -2*w(m) + x(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 849184 and 1.\nAnswer: 849184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1647*r**5\/20 - 123*r**4\/4 - 1863*r. Find the third derivative of t(w) wrt w.\nAnswer: -9882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -691197\nAnswer: -691196.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 11*d + 9. Suppose -2*r = -6*r - i - 41, r + 13 = -3*i. Let y = 3 + r. Let m be a(y). Is m greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -8*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 528*g**3 - 85*g**2 + 192917*g + 1?\nAnswer: 3168*g - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/209 + 36\/132 - 13\/(-114)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35220148 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 0*y + 4*y + (0*y + 6*y - 4*y)*(-2 + 1 + 3))*(186 + 180 + 4*y - 357).\nAnswer: 12*y**2 + 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -12*f - 211. Let i be 7\/(1*(-7)\/f). Solve b = 2*b + i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1551 by 11.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 11. Suppose 5*g - 2*f - 32 - 21 = 0, -g = -2*f - 9. Let w be m(g). Let v be (-2)\/4*(-8 + 2). Solve -v*a + 0*a = w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from zeejwuw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7923037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2802*w**4 + 2384 wrt w.\nAnswer: 11208*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1725)\/(-200)*4\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p - 38. Calculate the remainder when h(-8) is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/108*(-12)\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(250) + sqrt(19) - (sqrt(171) + 2)**2.\nAnswer: -175 - 54*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and 15\/(-10) + 63\/3456*164.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4.6, -74, 0.2, 3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - -2*(sqrt(15) - (sqrt(15) - (sqrt(15) + sqrt(75)\/sqrt(5)))))\/(-1*sqrt(5)*-1).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2+-0.0819\nAnswer: -2.0819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 9 - 11 - (28 + -76).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l**7\/l))*l**9)**34)**(-3))**(-5) assuming l is positive.\nAnswer: l**8160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q - q**2 - 3*q - 4*q. Let i(k) = -2*k**2. Determine i(c(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714*h**3 + 2816*h**3 - 835*h**3.\nAnswer: 4695*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -47*c + 28 - 129, 7*i - 6*c - 27 = 8*i - 4*i + 15 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60125751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0441480482 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, x: 4, h: 5, o: 3}. What is prob of sequence oqqx?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**3 + 2*z - 2. Let j(o) = o**2 + 42*o - 529. Let i be j(-52). Let q(s) = 2*s + 45*s**3 - 11*s - s**2 + 9 + s**2. Give i*l(x) - 2*q(x).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 5. Suppose -24 = 2*c - b*r - 8, -c - 3*r + 14 = 0. What is the third derivative of -32*n**c + 6*n**4 + 15*n**2 + 20*n**2 wrt n?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*k + 463, 5*j - 5*k + 239 = 6*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1)*-4 + 1 + 4)**2.\nAnswer: -72*sqrt(2) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297803*l + 297849*l + 297853*l - 893521*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - 4*n**2 - 10*n - 22. Let g be t(-2). Let b(j) = -j**2 - 1. Let l(p) = 2*p**2 + 1. Give g*l(v) + 10*b(v).\nAnswer: 2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2\/5*k**4 - 4\/5*k**2 + 2\/5*k**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3384940 by -36010.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6574 (base 8) to base 10.\nAnswer: -3452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 1184334.\nAnswer: 1184335.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199548344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9526517, 9526553, 9526587, 9526619, 9526649, 9526677, 9526703?\n\"Answer: -f**2 + 39*f + 9526479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3*z + 2*o**3 - 125*o**2*z + 3*o*z + 440*o wrt z?\nAnswer: 2*o**3 - 125*o**2 + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 131*f**2 - 2092*f + 73. What is b(38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326605669 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 - 0.098551852.\nAnswer: -52.098551852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.053 + 4.827. Let j = 0.12 + h. Let m = -0.1 - 2.9. What is the second smallest value in j, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301737 and 35328.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**2 + 130*b**2 - 761*b - 37*b**2.\nAnswer: 41*b**2 - 761*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119 is divided by 97.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -96 in ascending order.\nAnswer: -96, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -21*u**3 - 244*u**2 + 97*u + 25. What is j(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v - 1282*v**2 + 1273*v**2 + 32 - 33 to h*v**2 + z + a*v and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2 - 3*b - 2. What is j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllldgllgblllldl. What is prob of picking 1 d, 1 g, and 1 b?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 16*g**2 + 0*g**3 + 5*g**2 + 8*g**2 + 4*g. What is the lowest common multiple of 4 and u(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 185.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*t**3 + 613*t**3 - 586*t**3.\nAnswer: -423*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 301821.1779+-4\nAnswer: 301817.1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {z: 7, o: 2, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 37*p + 40. What is q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -792 - -8706\/11. Let v = 17867.9 + -17868. What is the third smallest value in -2\/11, c, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 - (13 - -25)) + 12?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.9 + -9.9. What is the second smallest value in -1\/5, q, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + (sqrt(13) - (1*sqrt(156))\/sqrt(12)))**2 - (1 + sqrt(13) + -3 + (sqrt(13) - (sqrt(13) + (sqrt(832) - (1 + sqrt(832))**2)))).\nAnswer: -9*sqrt(13) + 1041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prbrbrrmbbrpbpr. Give prob of sequence bbp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.9 + 41.9000197. What is t rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 != 212\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383023, -766054, -1149085, -1532116, -1915147?\nAnswer: -2298178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -84894*m. Let p(x) = 2*x**2 + 54*x. What is p(l(y))?\nAnswer: 14413982472*y**2 - 4584276*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91351 + -65179. Let x = 26173.500025 - i. Let v = x - 1.5. What is v rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -41. Let o(n) = -3*n**2 + 1. Let w be o(-1). Let b = 4 + w. Calculate the greatest common divisor of b and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + c - 13*c + (7 + 5 + 1)*(c + 2*c - 2*c)*(2 + 2 - 7) to k + t*c and give t.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5039, 5062, 5099, 5156, 5239, 5354?\nAnswer: 5507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4\/5 + 228*i**3\/5 - 3996*i**2\/5 + 13344*i\/5 - 2496 = 0.\nAnswer: 2, 20, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/4 - 105*i**2\/4 - 495*i\/4 + 605\/4.\nAnswer: -5*(i - 1)*(i + 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 640\/(-160) + (-2808)\/(-495) + 6\/(-15)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) - (-2*sqrt(1980) + sqrt(1980) - sqrt(1980))*-4) + ((sqrt(1980)*-1 - sqrt(1980))*-4 - sqrt(1980)))\/(3*(-1*sqrt(44)*5)\/sqrt(4)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8453489 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c3c660 + 5?\nAnswer: -1c3c65b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -580\/277843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*q + 425*q - 119*q)*(0 - 3 + 5) as h + a*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 2*u**2 - u - 24 + 3863*u**3 + 0*u**4 - 3862*u**3 + 3*u to the form g + m*u**4 + b*u**3 + s*u**2 + k*u and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*z**3 + 8308*z wrt z.\nAnswer: -900*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5673\/5 or -1135?\nAnswer: -5673\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d - 11. Let z be s(5). Let b = -40 - z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -25*(0 + 28\/(-10)) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((4 + sqrt(192) + 4 - (sqrt(192) + (sqrt(192) - (1 + sqrt(192)))*1)) + -5))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-5) - 9\/(-45). Solve -2*b - b - 24 = 3*a, 4*a = 2*b - h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(18\/(-8)*600\/(-13500))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/32195 and -75\/4724.\nAnswer: 152089180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z - 25 + 24 - 19 + 0*z**2. Let h be v(4). Solve -n - t - 7 = -4*t, h = -3*n + 4*t - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 4. Let b be c(-8). Suppose -a - 21 = 5*q + 2*a, 3*a = 4*q + 6. Sort q, b, 7 in decreasing order.\nAnswer: 7, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180 - -103. Let k be (-15)\/(-18) - l\/66. Solve 5 - 1 = -k*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1716940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1283\/6 - 213. What is the fourth biggest value in 0.1, 4, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-8))\/(-5)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 17*k - 174. Does 28 divide v(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 11. Let n be h(-3). Suppose -177*q + 185*q = -0 - 0. Solve q = -n*p + 3*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -5*l**3\/3 - l**2\/2 + 2*l. Let k(i) = 50*i + 4. Let u(q) = 14*j(q) + 3*k(q). Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -117*f**3 + f**2 - f - 1. Suppose -u + 4*u + 3 = 0. Let p be x(u). Suppose 0*s + 3*q = 5*s - p, -3 = 3*q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - q**5 - q**5 + (-q - q + q)*(-2 + 2 - q**4) + (7 + 3 - 4)*(2*q**5 - 5*q**5 + 0*q**5) + 0*q**2 + q**5 + 0*q**2 + 4*q**5 + q**5 + q**5.\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(2\/(-4)). Let w be a\/2*40\/12. Suppose -w*j = 5, 0*u + 4*u - j = 13. Solve -5*g - r = 5, -u = -g - 2*r - 13 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) + (-7 - -10). Suppose v = h + 5. Let c be (-5 - h)\/(-2)*2. Solve -4*o + c*n - 12 = 0, -2*n = o - 2 - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1509684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1379.1856 to the nearest ten.\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 114. Suppose -m = -f + 136, 0 = -b*f - 3*m + 202 + 200. Suppose 0 = 2*n - f + 9. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 6. Let u be f(-4). Let o be (-3)\/u - (-21)\/6. Solve 1 = o*n - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + -12. Suppose -117 = 5*c - 17. Find the common denominator of 31\/6 and ((-4)\/r)\/(c\/(-145)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 6678518?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12602004*o**2 - 20938333 wrt o?\nAnswer: 25204008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-6) + 33\/22. Suppose -2*z - 6*d + 152 = -2*d, -2*d + t = 0. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -4794509?\nAnswer: -4794509.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -917.2 - -895.2. Let t = -0.9 + 1. Which is the nearest to t? (a) 1 (b) -3 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 32 = -77. What is the hundreds digit of ((-3)\/m*478)\/(6\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q + 5. Suppose y - 4 = -0. Let p(z) = 246*z - y + 247*z - 486*z. Calculate 5*p(h) + 4*r(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g - 2238216 + 7*g**4 + 2238213 - 7*g - 3*g**2 as x*g**2 + u*g + f*g**4 + n*g**3 + t and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let t be m(3). Let o be (-2 - -2)\/((-3)\/t). Suppose -4*a + 3 + 13 = o. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (323\/(-38))\/((-2)\/4). Let u be -1 + 141\/6*8. What is the greatest common factor of u and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 789 + -792. Which is smaller: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -210 - 5790?\nAnswer: -59a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41743.63 minutes to milliseconds.\nAnswer: 2504617800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 1\/30*r**5 + 8*r - 1\/18*r**6 - 1\/42*r**7 + 1\/18*r**3 - 1\/6*r**2 + 1\/6*r**4 + 0. Suppose m(n) = 0. What is n?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -794.\nAnswer: 30966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) + (sqrt(3456) - (sqrt(3456) + -6*(sqrt(3456) - 2*sqrt(3456)))) + sqrt(3456) + sqrt(3456))\/(-1*(sqrt(8) + -2*sqrt(800))).\nAnswer: -36*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, 235, 9 in decreasing order.\nAnswer: 235, 25, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 7.23?\nAnswer: -7.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6104, -6112, -6134, -6176, -6244, -6344, -6482?\nAnswer: -6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125043077 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6 = -3*l. Let c(t) = t**3 - 10*t**2 + 8*t + 11. Let w be c(9). Suppose -w*q + 5*q - 12 = 0. What is the least common multiple of q and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 782796 and -2.\nAnswer: -1565592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184059 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.82 + -2.138. Let v = l - -0.2937. What is v rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11854988, 11854984, 11854980?\nAnswer: 11854976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -37*q + 770. Give w(28).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srssshhhsssrzhhhh. What is prob of picking 1 s and 1 h?\nAnswer: 49\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:43 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 18576*y - 21407973 = 0. Calculate y.\nAnswer: 1531, 4661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659 + 659.2. Which is the third smallest value? (a) m (b) 15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044*-0.5.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58008777 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 5384\/1899?\nAnswer: 5384\/1899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose 2*u - 20 = -0*u. What is the second derivative of 3 - t*o**3 + u*o - 3 - 7*o wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**11\/q))\/q*q**(2\/23)*(q*q*q\/((q\/q**(-8))\/q)*q)**(6\/23) assuming q is positive.\nAnswer: q**(-252\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 82. Let q(t) = 5*t - 30. Let k be q(n). Solve 0 = -5*a + 10, a = -k*o - 13 - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/8)\/(140\/(-8))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86687321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1173224 and -58764?\nAnswer: 58763.8826776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 136 = -1. Let z = -27 + v. Suppose 5*n - 74 = 61. What is the highest common factor of n and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42749, 85486, 128213, 170930, 213637, 256334?\nAnswer: 299021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 13*b - 2*z + 96, z + 64 = 296*b - 301*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8877 - -0.1123. Put 177, 0.4, r in decreasing order.\nAnswer: 177, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10829*0.3\nAnswer: 3248.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/29)*a)*a*(a**(-6\/13)\/a)\/a*a**(-2\/3)*a**(3\/7)\/a)**(14\/3) assuming a is positive.\nAnswer: a**(-43292\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/30 + 439*h**2. Let c(a) = -48*a + 1. Calculate l(c(j)).\nAnswer: 4608*j**2 - 192*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1010400.013 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -5. Let j = 30 + a. Let u(w) = w**3 + 23*w**2 - 52*w - 20. Let q be u(-25). What is the greatest common divisor of q and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 19*o + 88. Let q be s(-9). Is 32 a factor of -5 - q - -380 - (4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - m, -5*m = -4*d + d - 22. Let a be d\/(-2) + (-22)\/(-4). Let z(t) = 4*t**3 + 19*t**2 - 7*t - 10. Let w be z(-5). Solve w = -4*k + 3 + a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 - 5*n - 4. Let a be h(6). Let i be 2\/(3 - 1)*a. Let l be (-24)\/(-3)*(-2)\/(-4). Solve -l*c + i = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107089605 to the nearest integer?\nAnswer: 10348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9 (b) -6 (c) 5 (d) -2 (e) -0.018 (f) -46\/9 (g) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 537, 0.03, 5\/3, -0.1, 2\/7?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 17 = -5*m, 2*x + 37 = -4*m + 21. Let s(i) = 6*i**3 + 6*i - 4. Let b(f) = 7*f**3 + 5*f - 3. Calculate x*b(t) - 5*s(t).\nAnswer: 12*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s. Let o(q) = -3*q**2 - 4*q. Let v be o(-3). Let f be (-10)\/v*(7 - 1). Let y(d) = -5*d - d + f*d. What is y(u(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013432 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*j = 16, -2*j + 21 = -4*f - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 + s + 211. Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/10*2)\/(8\/8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 39 + -1 + -6 + (-522 - -528).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42a8 + 1?\nAnswer: 42a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 1:12 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46180 = 22*q - 18*q. Suppose -17*r = 342 - q. Suppose 5*o + r = 9*o - l, 0 = -5*l - 15. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7518 and 327306?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -46. What is the first derivative of -9*c + u*c + 1 - 2*c + 0 wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4212 and 2586816?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 4920 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6709 + 4659. What is g rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*t - 28, -3*t = -5*p + 2*p + 42. Suppose -4*i = -4, 3*b + 2*b - 36 = 4*i. What is the remainder when p is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563037086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420412391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*t*u*w**2 + f*t*w**2 - 165*f*u**2*w**3 - t*u**2*w**3 - 3*t*w**3 - 5*t*w wrt u.\nAnswer: -330*f*w**3 - 2*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*u = 105 - 32, -8 = 2*u. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - u - 1. Let x be n(3). Suppose -14*m - x*m = -224. Suppose 0 = -4*c - 2 + 22. Solve -c*l = -7*l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 + 23*t + 11. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1)\/((-11)\/11). What is the nearest to 0.3 in 1, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 1. Determine w(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*a + 33 = 0, -249 + 217 = 4*j - 4*a for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45276 and 528.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3395464152\/1314761 + -6\/187823. Does g = -2583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 6 - 6)*(-1122*f**4 + 306*f**4 - 667*f**4).\nAnswer: -5932*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196327.\nAnswer: 19, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*o - 2*j - 4 + 12, -3*j - 113 = 19*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(75\/(-90)*2\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5462009258 to the nearest integer?\nAnswer: 73905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -33. Suppose 2*m - 5*d = 392, q*d = m - 138 - 56. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let q(a) = 5*a - 1. Let o(w) = -6*m(w) - q(w). Let j = 2552 + -2550. Let p(f) = -5*f - 4. Calculate j*p(t) + 11*o(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-30)\/((-40)\/(-8)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/9*i**3 - 4\/9*i**4 - 4\/9*i + 10\/9*i**2 = 0. Calculate i.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120832233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dludugu. Give prob of sequence dgl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572 divided by -8?\nAnswer: 393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/7 + 107502\/(-483). Let w be (t\/(-4))\/(17\/2210). What is w rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*o - 4*i + 28, -o + 4*i = -1. Factor -8*l**2 - o + 8 + 2*l + 7*l**2.\nAnswer: -(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.005 - -0.116. Round h to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -28*h**3 + 2*h**2 + h. Let i = 104 + -96. Calculate the remainder when u(-1) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from qrmmr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 5 + 0 + 0. Let c be -2 + 4 + -2 + -5. Let r be g(c). Solve -5*w = 8*v - 3*v + 25, r = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 5*x - x**2 + 6*x + 0*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -1.49. Let w = g + 2. Sort -1\/6, 1, w.\nAnswer: -1\/6, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 408*b + 124*b + 332*b + 2 + 107*b.\nAnswer: 155*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365 (base 7) in base 6?\nAnswer: -2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 92, 139?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80634 is divided by 80433?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/(2\/(-60)*-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 8, b: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5975450 to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*((sqrt(1008)*-2)**2 + ((-1*sqrt(70))\/sqrt(10))**2).\nAnswer: -24234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -34*v**2. Let k(r) = 200*r**2 + 18*r + 2. Let t(n) = -599*n**2 - 64*n - 7. Let m(c) = -7*k(c) - 2*t(c). Calculate m(g(x)).\nAnswer: -233512*x**4 - 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 5064*a - 171471. Give c(33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -155. Let x = a + -34. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1551790*i**3 + 4307552*i**2 wrt i?\nAnswer: -9310740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 + 225. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -8338 (c) -1\/22 (d) 0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520 + 470)*4*(-5)\/(-160).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -2*s**3\/3 - 6*s. Let d(j) = -2*j**2. What is d(a(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*j + 1284638 = 0, 3*j - 217797 + 646033 = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 177*d - 1 - 67*d.\nAnswer: -244*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1432632 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*g**4 + 4*g**2*t + 13*g*l + 2*g - l*t - 2698*t wrt g.\nAnswer: 240*g**3 + 8*g*t + 13*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1773.0342*8.\nAnswer: 14184.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 94 = -8*c. Is (2090\/(-20))\/(c\/(-24)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15274\/6546)\/(3\/((-1296)\/(-21)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6 - 5)*(12*x**2 + x**2 + 30*x**2).\nAnswer: 430*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**5 + f**3 + (189*f**3 - 189*f**3 - 25*f**4)*(0*f + f + 0*f) - 2*f**2 + 2*f**2 - f**5 + (2*f**4 - 2*f**4 + f**5)*(-2 - 2 + 1).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786599601 to the power of 1\/3, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -18*u**6\/5 - u**4\/6 + 101*u**2\/2 + 10*u + 1. What is the derivative of x(v) wrt v?\nAnswer: -432*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(13)*-1)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34291*m**4 + 12*m**2 - 13*m + 84591 wrt m.\nAnswer: -411492*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121011 + 2002?\nAnswer: 10200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275*g**6*s*u + 73*g**3*u**2 + 3*g**2*s*u - 28*g**2*u - g*s*u**2 - s - 12*u**2 wrt g?\nAnswer: -33000*g**3*s*u + 438*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 261913813 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**5\/4 - 3105*b**4 + 1095455*b**3\/4 - 12385635*b**2\/2 + 10530765*b + 17000550 = 0?\nAnswer: -2570, -1, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1879824, -1879657, -1879490, -1879323?\n\"Answer: 167*g - 1879991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2*(-35)\/10. Let q be (-26)\/12 + (-5)\/(-30). Let y be (q - -1)*3 + t. What is the greatest common factor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 5862 = -2742 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*126\/4*(-6)\/(-14). Let o be 39\/b - 1 - 8\/36. Let c be ((-6)\/15)\/(8\/(-10)). Sort 0.2, c, o in increasing order.\nAnswer: 0.2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154 + -143.1. Let s = -5.7 + r. Let k = 5.2 - s. What is the smallest value in -10, 1, k?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*n + 3, 3*k - 3 = -3*n - 6. Let l(v) = v. Give l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - x. Let m(v) = 3*v**3 - v - 1. Give 2*m(u) - 3*n(u).\nAnswer: -3*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {m: 5, c: 4, h: 1, k: 5, l: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from xdmrmbob?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92589 * -0.1.\nAnswer: 9258.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 6*s - 3. Let l be d(-5). What is the third derivative of 12*p**6 - 8*p**6 + p**6 - 12*p**l + 2*p**6 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1 - -7) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 773355 and 41.4?\nAnswer: 773313.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/58, 3, 1.\nAnswer: 47\/58, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = 15*u - 71 + 641 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-2 - 0\/(-1)). Suppose p - 2*r + 8 = 0, 4*p - 5*r = 5 - s. Let u be (-1)\/((-3)\/(12\/4)). Solve -3*l = -3*m - 3, u = 3*m - l + p*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9802 and 429.4?\nAnswer: 10231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*n**3 + 170*n**3 + 94*n**3.\nAnswer: 103*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 3*g**2 - 3*g. Let x(b) = -5*b**3 + 7*b**2 + 6*b. Calculate -7*u(a) - 3*x(a).\nAnswer: a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853 - -190220\/223. Let c = r + 2445\/1784. Calculate the common denominator of c and -27 + 24 - (14\/(-24) + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.4 (b) -0.2 (c) 6 (d) -3\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*b = -1, -3*b - 12 = 2*h - 5*h. Let r(o) = -o**3 + 22*o**2 - 83*o - 210. Let v be r(16). Sort v, -18, h.\nAnswer: -18, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Let h(s) = -67*s**2 + 227*s**2 - 336*s**2 - 233*s**2 - 546*s**2. Calculate p(h(q)).\nAnswer: 912025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-2) + 3)*20*(-7)\/(-84). Which is the fifth smallest value? (a) -35 (b) p (c) 2\/9 (d) -3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53.2843 and -76.\nAnswer: -22.7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/126 and -79\/490?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 2*t**3 - 2*t**3)*(240 - 488 - 5*t**2 - 3*t + 237).\nAnswer: -15*t**5 - 9*t**4 - 33*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 1, -2\/97, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 88. Suppose t = -4*z + 3*t + 110, -z + 3*t + m = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Solve -n*r = -9 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 179893*v - 2.\nAnswer: 179893*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 720382.1 tonnes in micrograms?\nAnswer: 720382100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273951?\nAnswer: 11, 388541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*j + 11, -17*n + 16*n + 5*j = 30. Suppose 0 = -o - 0*o - 3. Put 2, n, 4, o in increasing order.\nAnswer: o, 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppipkbibhi. What is prob of picking 1 p and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -17 - (-3 + 3 - (0 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558 and 2325.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -89 (base 10) to base 16\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -c + s, -5*s - 10 = 0. Suppose -5*f = -d + 22, -14 = -c*d + 2*f - 2. Suppose 0 = 2*g + 6 - 16. What is the smallest common multiple of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 75. Suppose 5*u + 15*u = 180. What is the highest common divisor of u and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2 + 2 + 0 + 0*n**2 - 4*n**2 + 2*n - 2*n**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -15, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.95912 and 18.3.\nAnswer: -17.551896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 47. Calculate m(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17*t + 12. Let j = 32 + -32. Let g be -3 - j*4\/(-8). What is the tens digit of f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 9}. Give prob of picking 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 5*w + 118*u - 117*u, 9*w - 5*u + 303 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -19?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 473. Let u = a - 458. Solve -3*o = g + o - 12, u*g - 5*o = -15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 1 = 0. Suppose -k + y - 2*y = w, 11 = k - 3*y. Let z = 8 - k. Solve 0 = z*g - 5*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from ftttfaaatfa.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -172, -199, -226?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(44) + sqrt(11) + (sqrt(1584)*4 - sqrt(1584)).\nAnswer: 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*(m**(-4\/7)*m)\/m)\/m)**(-19))**(-4\/11)\/((m*m**8)\/(((m*m*m**7*m*m)\/m*m)\/m*m)*m**(-1)*m**(9\/2)) assuming m is positive.\nAnswer: m**(225\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-90)*(-20)\/(-8)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = -4*c - 2*k, 3*c - 44 = 4*k - 245. Let u be c\/(-3) - 2\/6. Suppose l - u = -2*f, 2*f + 3*l - 14 = 4*l. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 + -168. Calculate the greatest common factor of 588 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251000 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j + 6. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -15. Suppose o*g - 27 = 28. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 1351.\nAnswer: 6755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -34. Let m be (55\/33)\/((-2)\/(n + 1)). What is the remainder when 10 is divided by 2\/m*5*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/442 and -15\/119.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -13*d**4\/4 - 238*d**2. Let z(s) = 2*s. Determine z(b(g)).\nAnswer: -156*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245241 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmoomyyoymooo. What is prob of sequence yoo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 769 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*u**3 + 10*u**3 - 6*u**3)*(1 + 0 - 2) + u**3 + 0*u**3 - 5*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 - 230*x**2 - 235*x = 0. Calculate x.\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 + 23 = 4*i, 5*i - 50 = 4*v. Let g(r) = -r**3 - 4*r**2 - r + 7. Let c be g(-3). Sort -2, c, -4, i in decreasing order.\nAnswer: i, c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2108 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*t + 105*t + t**3 - 54*t - 55*t**2.\nAnswer: t**3 - 55*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*z = 11*z + 45136 for z.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 3. Suppose -2*x + 4*x = g. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 11) + 3 + (13 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (36 - 47) + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32598 + -32596. Solve -10*f = -6*f - 2*h + 26, 4*h - 2 = -q*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 - w + 10. Calculate the smallest common multiple of f(0) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57317 and 5.\nAnswer: 57322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -222002111022222 (base 3) in base 12?\nAnswer: -478875b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445028, 445029, 445030, 445031, 445032, 445033?\nAnswer: 445034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 32, 36, 26, -4, -60, -148, -274?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 k when three letters picked without replacement from jktkffqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-6*sqrt(135)*-1)\/((sqrt(135)\/sqrt(3))\/sqrt(5)))\/(((1*sqrt(135))\/sqrt(5))\/(sqrt(9) + sqrt(108)\/(sqrt(12)*-2))).\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -73.\nAnswer: -290\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23032?\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37419*i**2 + 5*i**3 - 37419*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*d**2 + 107*d**2 - 17 - 354*d - 357*d + 728*d wrt d.\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 - 481. Solve 0*o = -o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u - 46. Let h be l(-14). Suppose 23*z - h = 22*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let s(z) = z**2. Let l(a) = 23*a**2. Let f(y) = -l(y) - 6*s(y). What is f(n(b))?\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -961*a*h*z + 7*a*z + h*z - 9*h - 3*z with respect to a.\nAnswer: -961*h*z + 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d + 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m**2 - 4*m + 35. Let b(r) = -7*r**2 + 2*r + 1. Calculate b(y) + v(y).\nAnswer: 5*y**2 - 2*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = h - 4*c, 4*h - 62 + 54 = 4*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 81*n**2 + 1620*n. Determine z(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24470 is divided by 1439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 20, 34, 54, 80?\n\"Answer: 3*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(98) - (-1 + sqrt(98))) + -4 + ((sqrt(98) + -1)*1 - sqrt(98)) + sqrt(98) + sqrt(98) + -3)*-5 + -2 + 4)**2.\nAnswer: -5880*sqrt(2) + 11564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39 and 107.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172441 divided by -5?\nAnswer: -2172441\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Suppose g = j + 4*j. Suppose -3*y = -2*y - 9. Calculate the greatest common factor of j and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1 + 1 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f + 3. Let g be q(-6). Let c = g + 3. Solve p - 3 = -c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.5, 0.5, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c. Let y(q) be the first derivative of -7*q**4\/12 + 49*q**2\/2 - 14. Let b(n) be the second derivative of y(n). Give o(b(i)).\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2536, 8687, 18444, 31807, 48776, 69351?\n\"Answer: 1803*m**2 + 742*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(14\/(-4)))\/((-45)\/63)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) 0.4 (c) 1 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 2. Sort 0, o, 8 in ascending order.\nAnswer: o, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a1 (base 14) to base 4.\nAnswer: -1002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmddremjdpjpj. Give prob of sequence rd.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurroaxbbxrruroubru. What is prob of sequence xu?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5826257 and 6313?\nAnswer: 343749163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 320*h - 1605. Let o be l(5). Put 5, o, 3, -79 in increasing order.\nAnswer: -79, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.18635 microseconds in milliseconds?\nAnswer: 0.09318635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5834200 to the nearest 10000.\nAnswer: 5830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 290567229 a multiple of 5763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 18 = 2*q, -3*q + 5*k - 95 = -44 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.36211 decades in millennia?\nAnswer: 0.6236211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*z = 8, 0*m + 10 = -3*m - 4*z. Let n be 4 + -3*m\/(-3). Let c be (-2 + 4)\/(8\/n). Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -545661.4806 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 2. Let x = u - 3.6. Which is the closest to -1? (a) 5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908186 is divided by 111.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -33 (b) 2\/7 (c) 0 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:54 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278669742.\nAnswer: 2, 3, 13, 3572689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1110725, 1110736, 1110741, 1110740?\n\"Answer: -3*a**2 + 20*a + 1110708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1250 - -1254. What is the nearest to -2\/5 in 5, h, 2\/19, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 786201199?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 314341222 (base 5) to base 12\nAnswer: 53a642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2868445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0652 + 4.9198. Let u = 17 + -12. Let s = f - u. What is s rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 196*g - 2. Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 2. Let v(t) = -4*t - 1. Let d be v(1). Let g(h) = -h - 3. Let i(s) = -s**3 + s**2 + 25*s - 49. Let z be i(2). Determine d*f(m) + z*g(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -25*g**3 - 5*g**2 - 5*g + 27. Let j(y) = -12*y**3 - 2*y**2 - 2*y + 13. Let x(i) = 4*b(i) - 10*j(i). Differentiate x(t) with respect to t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81443 + -188621953\/2316. Find the common denominator of 73\/36 and m.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 10 = 0, -5*p - 2*a = -20. What is the common denominator of p + -5 + 109\/8 and -149\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*g, -4*f - 2*g + 2 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u. Let x(n) = -288*n**2 + 146*n**2 + 143*n**2. Calculate x(t(p)).\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-663)\/130 - -6)*32\/(-144)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*((-42)\/(-9))\/(-7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 5*k**3 + 2*k - 14*k**3 - k**2 to the form z*k + o*k**2 + v + l*k**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*u**4 + 99*u**3 - 99*u**3 - 2*u**4 - 4*u**4 + 4*u**4 - 3*u**4 + 5 - 5 + (u**2 - u**2 - 2*u**2)*(-6*u - u**2 + 6*u).\nAnswer: 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*n + 496 - 496)*(-2*n + n + 0*n)*(-3 + 6 - 2) in the form l*n**2 + m + u*n and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -x + 4*l - 9*l, 0 = 3*x + 4*l - 133. Suppose o - 4*z - 288 = -3*o, -x = -o - 4*z. Calculate the remainder when o is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 13) to base 6\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 4*u - 12. Determine m(6).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -368, -2\/9, 0.4, 4\/3, -185\/2, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 2. Let o be h(-4). Solve 0 = 6*g - 5*g + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138105 and 156?\nAnswer: 7181460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) - 1408\/(-320)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 377057 and -168563.6.\nAnswer: 208493.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50927008?\nAnswer: 2, 11, 149, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(3*q - 2*q - 3*q) - q + 2*q + q - 2*q + q + 2*q - q - q + 0*q)*(-1 - 2*q + 1)*(-513*q**3 - 632*q**3 + 316*q**3).\nAnswer: -4974*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 6 = 0. Suppose 2*a = -a + p. Solve -3*b + a*n = -8*b + 26, -18 = -3*b - 2*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 - 11. Calculate t(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5606 = -191*u - 5592 + 16223 - 5789 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 11*u**3 + 19*u**2\/2 + 59*u - 21. Is r(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 14) + 14 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 150644350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 280555 * -1.\nAnswer: -280555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + f**2)*((-f**2 + 6*f**2 - 3*f**2)*(-2*f + 5*f - 4*f) + f**3 - 2*f**3 - f**3 + 0*f + 3*f**3 + 0*f - 8*f**3 + 11*f**3 + 8*f**3).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 525*f**2 + 9380*f - 45600.\nAnswer: -5*(f - 120)*(f - 4)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/20)\/(2\/(-30)). Let j = u - 9. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.016 (b) 3 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -186.2 times 4\nAnswer: -744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10317*a + 10325. Give q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 34*p**2 + 2*p**3 + 11*p**2 - 15*p**2.\nAnswer: 2*p**3 - 41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o. Let c(y) = -5*y + 4. Let p(k) = 10*k - 7. Let w(t) = 7*c(t) + 4*p(t). Let h = 3 - 0. Suppose h*i = -0*i - 9. What is i*w(n) - 4*g(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + (-5075)\/(-245))\/((-10)\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (92\/23)\/((-8)\/(-26)). Solve -3*k - h = -3*h - n, -14 = -4*k + h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*x + 12494 + 10166 = 0 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 866407973956.\nAnswer: 866407973956.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-80)\/(-15))*-687. Suppose 5*c = -3*m + u, 2*m + 2*m + c = 1227. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**3\/3 + 3*s**2 - s - 4. Suppose -3 = 2*p - 3*p - 3*b, 27 = 5*p + 3*b. What is k(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 909.9343 kilometers?\nAnswer: 909934300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 21.95. Let z be (-1 - -3) + -2 + 5. Suppose -3*q + 6*q + 4 = -5*x, z*x + 10 = 0. What is the second biggest value in q, 5, 2\/3, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m + 4. Let f be q(-3). Let r be 5\/(70\/(-6)) + (-1923)\/21. Let x = f - r. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from cccciccccicccic?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -17. Suppose -5*x = -3*v + 61, 3*v - x - 1 = 76. What is the remainder when v is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(847))*5*2)**2*6 - (sqrt(168)\/(1*sqrt(3)))\/(sqrt(8) - (-2*sqrt(72) - sqrt(72) - sqrt(72))).\nAnswer: 343199*sqrt(7)\/13 + 510600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*w - 0*w + 14, 0 = -5*w - 5*g - 10. Factor 3*v**4 - 13*v**w + 0*v**4 - 5*v**2 - 21*v**3 - 6*v**4.\nAnswer: -3*v**2*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 304, 458, 616, 778, 944?\n\"Answer: 2*z**2 + 144*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1000011111010101110010?\nAnswer: 1000011111010101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*k**2 + 7\/3*k**3 - 1\/3*k - 4\/3.\nAnswer: (k + 1)**2*(7*k - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 25 + 0)*(-24*g - 30*g + 3*g).\nAnswer: -1071*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -111100011010101001100000?\nAnswer: 111100011010101001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 79 (c) 0.4 (d) 1 (e) 0.5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 25*h + 9. Is q(18) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = -4*v, 5*i + 5*v - 8 = 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -261 (b) 1 (c) 0 (d) -0.5 (e) 0.18 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j = 68*j - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3074874627 - -0.55?\nAnswer: -3074874626.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**2 - 77*p**2 + 27*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*j + 2 = -22, r + 13 = -4*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21213016 and 2702?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 32. Let h(j) = -j + 31. Calculate 2*h(r) + 3*y(r).\nAnswer: r - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/15 - 14*g**2\/15 + 4*g\/3.\nAnswer: 2*g*(g - 5)*(g - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1921 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 3 + 3*k - 5*k + k. Give r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28479.09cm to meters.\nAnswer: 284.7909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7078.041t to grams.\nAnswer: 7078041000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17154220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4\/413, -12\/49, -0.1, -6\/11, -3\/5?\nAnswer: -4\/413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q. Let j(o) = 43*o + 5. Calculate c(j(f)).\nAnswer: 387*f + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 11 = 9*w - 5*w, -37*q + 20*q = 2*w - 24*q + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3447 + -0.3447. What is the fourth biggest value in s, -0.02, 1\/7, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 25*w = 38*w - 15*w + 58, 7*n - 21*n + 2*w + 454 = 0 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 6, c: 1, r: 4, q: 4}. What is prob of sequence qsrq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/11, 5\/27, 4\/3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/4896)\/((-1)\/(54\/20))*(-160)\/(-12)?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 16*a - 1. Is 13 a factor of d(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -9, 0.4, -5\/2 in descending order.\nAnswer: 0.4, 0.3, -5\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y*y\/(((y**3\/y)\/y)\/y))*(y**(1\/2))**13)\/(y*y\/((y*(y*(y**(-2\/5)*y)\/y)\/y)\/y)*y**12\/y)**32 assuming y is positive.\nAnswer: y**(-4233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5082, -4655, -3496, -1239, 2482, 8033?\n\"Answer: 61*z**3 - 5143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = 4*h. Calculate the remainder when h is divided by 11\/9 - 4\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 + 173*z - 330. Calculate l(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/11 + 96*d\/11 - 2304\/11.\nAnswer: -(d - 48)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*j - 108*j + 10333 = -139*j - 15119 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414 - -436. What is the highest common factor of n and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -3*w, 157*w + 11 = 158*w + 2*k. Put 43, 3, 2, -2, w in increasing order.\nAnswer: -2, w, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 + u**2 + 2941*u + 3*u**2 - 2934*u - 2. Give z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -934\nAnswer: -3\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*g - 15 = k - 6*k, 0 = 3*g + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945007*w - 944328*w + 2 - 944480*w + 2832150*w.\nAnswer: -1665*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + g. Let r be (-8)\/(-180)*9*(-10)\/(-4). Determine a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*i + 54. Let p = 14 + i. Let z be (-3)\/p - (-19)\/(-2). Are z and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -36, -53, -76, -105, -140, -181?\n\"Answer: -3*n**2 - 2*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 4. Let p(z) = -5*z - 6. Let o(f) = 8*n(f) + 5*p(f). Give o(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*t**2 + 41*t**2 + 101*t - 202*t + 101*t)*(115*t**2 - 44*t**2 + 121*t**2) to i*t**2 + s*t + p*t**4 + o + m*t**3 and give p.\nAnswer: 12288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 - 3*q**2 + 2*q + 2. Let x be k(2). Suppose -4*d = t - 19, t - 82 = d - 83. Sort t, x, -2.\nAnswer: x, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76329 - 42920. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37a6a04 - 5?\nAnswer: -37a6a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (333042 - 204*v**2 - 333047 + 60*v**2)*(4 + 0 - 3)*(0 + 0 + v) as c + r*v + f*v**3 + k*v**2 and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (264\/(-18))\/((-2)\/3). Let d = 2 + -1. Suppose -14 = -3*q + d. Solve -2*i + u - q*u = b, 4*u = i - 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*y = -5*w - 59, -37 = 2*w + y. Let j = w - -26. Suppose 4*k + 0*k = 84. Calculate the remainder when k is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 6264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 != 1884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 14*t + 22. Suppose 0 = -2*q + 35 - 9. Let l be w(q). Suppose c - 3*n - l = 9, -5*n = 4*c - 21. Solve 0 = b - 2*j + c, -4*j + 20 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 31*i**2 - 36*i + 73. Determine l(32).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233318 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a - 4*c = 20, -3*c - 15 = -a. Let i(y) = y**3 + y - 1. Let d be i(a). Let f be 1 + 1 - (-1 + 1). Sort f, 4, d.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-1) - 800\/(-4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/6)*u**(2\/67)\/u*(u*((u*u**(-9)*u)\/u)\/u)\/(u**(-2)\/u*u) assuming u is positive.\nAnswer: u**(-2735\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 75 = -6*o - 2*c, o = 3*c - 9. Let z(d) = -7*d - 19. Determine z(o).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 + 4*l**2 - 11*l**2 + (-3 + 1 + 1)*(-2*l**2 + 0*l**2 + 0*l**2) + 26*l - 26*l - 7*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/4 - 9*j**3 - 243*j**2\/2 - 29*j. What is h in r(h) = 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 380236629 - 686136629. Round z to the nearest one million.\nAnswer: -306000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -267 - 23*i - 24*i + 258. What is the tens digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1189\/6 - -596\/3. Put 2, y, 0.3, -0.05 in ascending order.\nAnswer: -0.05, 0.3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 999 (b) 1\/11 (c) -15 (d) 6\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(475) + 3)*3)**2*3.\nAnswer: -26136 - 1620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -846, -1174, -1392, -1464, -1354?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 69372.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + 1) - (-5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 4\/((-56)\/2026) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 8)*1 - (-16)\/(-4). Suppose 4*v + v + y*d = 1258, -v + 248 = -3*d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/9 - 1349*h\/9 + 9296\/3 = 0.\nAnswer: 21, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 248?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018.3 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10814 divided by -4992?\nAnswer: -5407\/2496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5033 = 58*w - 12*w - 1373 + 2504 for w.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/5, -5, -314154 in descending order.\nAnswer: 2\/3, -2\/5, -5, -314154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, -0.08, -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267 = -136*l + 12739. Let o = -8 - -19. What is the highest common divisor of l and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495262 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(((-10)\/(-12) - 1)*6). Solve 8*p - 10*p = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 3}. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*4\/8*15\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-1.6\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 281495411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*j + 4*n, -5*n - 18 = 4*j - 2*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 23*s**3 - 53*s**2 - 727*s + 5461. Let o(w) = -3*w**3 - w**2 - 4*w - 2. Let g(m) = 3*h(m) + 24*o(m). Determine q, given that g(q) = 0.\nAnswer: -33, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**3 + 2*n**2 + 15*n - 9. Let a(f) = -3*f**3 + f**2 + 10*f - 6. Let y(u) = 8*a(u) - 5*k(u). What is y(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - 72. Let r(g) = 11*g**2 + 216. Determine -8*b(d) - 3*r(d).\nAnswer: -d**2 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1573 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 725754*g + 725756.\nAnswer: -2*(g - 362878)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 4*w + 3. Let t be b(-7). Let p = 36 + -8. Let x = p + t. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16431 or 147872\/9?\nAnswer: 16431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 2 = 33*f. Let y(j) = -j**3 - 3. Let z(w) = 2*w**3 - w**2 + 7. Determine f*z(b) + 5*y(b).\nAnswer: -b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394537 is divided by 131505.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 54258560. Let j = 8864640 - i. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -699 (base 11) to base 4\nAnswer: -31002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 2, u: 1, c: 8}. What is prob of sequence cac?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*y = 91. Which is smaller: -14 or y?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 13 + 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*x - 102*x + 1575 = -259 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90.3 + 148. What is d rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 9 = 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:09 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48046, 48399, 48994, 49837, 50934, 52291?\n\"Answer: f**3 + 115*f**2 + f + 47929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(52) + -6*sqrt(1872)))**2 + sqrt(52)\/(-2*sqrt(144)) + 4.\nAnswer: -sqrt(13)\/12 + 2293204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9040893l?\nAnswer: 904.0893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31879368 is divided by 973?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3 + 6 - (-6 + 3). Suppose -2074 = h*r - 5469. Suppose -2*k - 3*w + 118 = 0, -5*k - 2*w + r = 190. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvqvvqvvvvv. Give prob of sequence qv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/60 + x**5\/30 - x**4\/4 - x**3\/3 + 141*x**2. Let c(j) = -6*j**3 + 7*j**2 - 19*j - 7. Determine 2*c(z) - 7*n(z).\nAnswer: 2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/44916960 and -23\/6.\nAnswer: 44916960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 18 + 3294*l**3 + 4*l**2 - 4*l**2 - 3290*l**3 as z*l**3 + d*l**2 + t*l + y and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579657?\nAnswer: 17, 92921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1107494 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.023792368 and 0.736?\nAnswer: 0.759792368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 928 + -1602. Is y smaller than -673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 608 + -426. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 + (-19 - 5))*-1. Which is the biggest value? (a) 22 (b) 1\/4 (c) o (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 + g. Suppose -4*c = t + 14, -2*t = -2*c + 4 - 16. Calculate h(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 107*x - 85*x. Sort x, -2, -3, -4.\nAnswer: x, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113\/8 + 33\/8. Let t = 24 + 54. Find the common denominator of q and t\/35 - (-1)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1411872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 + -0.02. Let l = 20.8 + -21.2. Is l < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21776 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3.7, 1\/4, 2, 219, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 9*o - 2. Let t be b(-8). Let k be (-1)\/(7\/2) - 10388\/(-343). What is the greatest common factor of t and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 81 - 27 = 0. Let i be (2 + 44\/(-8))*y. Suppose -b - 3*r + 21 = 0, 7 + i = 4*b + 5*r. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29652 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 - 2*s**2 + 1. Let b be v(-1). Let f be 1\/(-6) + (-1)\/(-6). Suppose f*q - 2*m + 4 = q, -28 = 3*q - 2*m. Is b equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 - -126 - -44 - (70 + 0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*(-18)\/(-24)*(-34)\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27684 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -935\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4034400 (base 5) in base 15?\nAnswer: -143ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221500 divided by 33772?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182911916 divided by 2684.\nAnswer: 68149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -69. Suppose -5*x - l + 829 = -107, -2*l = 2*x - 368. Suppose -3*t - j = -x. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(((sqrt(117)\/sqrt(3))\/sqrt(3) - -3*sqrt(13)*-6)**2 - (((sqrt(104)*-2 - sqrt(104)) + sqrt(104))*-1)\/((-1*sqrt(96))\/sqrt(12))).\nAnswer: 10*sqrt(13) + 18780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iyyiyiyyyipypi.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*a - 130 - 220 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.014 and 2324.5.\nAnswer: 2315.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.508 plus 395?\nAnswer: 391.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17468 divided by 4367.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 - s**2 - 5*s**2)*(1936*s - 4728*s + 2013*s) + 0*s**3 + 6*s**3 - s**3 to c*s**3 + y*s**2 + l + m*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26062784 divided by -64?\nAnswer: -407231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let r(n) = n - 1. Give 2*p(o) - r(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6510340 to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575468 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = -4*r, -r = 4*z - 4*r + 13. Let q be (-33)\/(-5) - (-26)\/65. Let v be -1 - (-2 + q + z). Let x(f) = f**2 + 4*f. Determine x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6521\/4318 + -22\/2159. Determine b so that 10 + r*b**4 - 29\/2*b**2 + 5*b**3 - 8*b = 0.\nAnswer: -5, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*345\/(-621)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 65*r + 61*r + 155 = 0, -4*d + 198 = r. What is the greatest common factor of 63 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/3 - 8308*m**2\/3 - 4375564*m\/3 - 21259220.\nAnswer: -4*(m + 15)*(m + 1031)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -5 (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -684.5 - -709.5. Which is the third biggest value? (a) 0.2 (b) 2\/5 (c) 13 (d) -1 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 28?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15979312241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 divided by 2?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 336 - 277. Let q = d - 26. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -5*p**4\/24 + p**3\/3 - 2*p**2 + 11. Let z(s) = -66*s + 27. Let a(q) = -5*q - 86. Let h be a(-28). Give h*i(y) - 4*z(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331 + 1310110?\nAnswer: 1301113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/5 (b) 3 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/4 + t**3\/3 + t**2 + 1. Let u be p(2). Let h = 436 + -430. Solve u*b = -k + 2*b - 6, 0 = -k - b + h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -1.16. Let y = z + 0.24. What is the second biggest value in 2, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/36731 or 0?\nAnswer: -41\/36731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 4*s. What is the remainder when y(3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5875 = -830. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*d - 4195*d - 5920*d + 290368 = 0 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*v + 4862 = -81*v + 69*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/3)\/l*l**(-2))**41 assuming l is positive.\nAnswer: l**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 24 - 26)*(18*g**3 - 18*g**3 + 8*g**4) to r*g + f*g**4 + l*g**2 + n*g**3 + o and give f.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 554\/15 + -188\/5. Is 18 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 18645*o - 55908 = 0 for o.\nAnswer: 3, 6212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/15 - (-3)\/(-15). Let w be (-1)\/2 + 26\/36. Let b = 4 + 1. What is the second smallest value in w, b, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 195778*d**3 - 587322*d**2 - 587318*d - 195772.\nAnswer: -2*(d + 1)**3*(d + 97886)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4))\/c*c**(2\/7)*((c\/((c\/(c\/(c\/(c\/(c\/(c\/(c\/(c\/c**(-1))*c)))))))\/c*c))\/c)**49 assuming c is positive.\nAnswer: c**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 - g + 23. Let y = 2 - 2. Let f be u(y). Suppose c + 5 = -5*m, -18 = -5*c - 3*m + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4857442 and -3.\nAnswer: -14572326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -68\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6593.769ns to minutes.\nAnswer: 0.00000010989615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 5*g = 0. Suppose -4*k + 15 = v, g*k - 5*k + 5*v + 25 = 0. Suppose 4*h + 52 = 4*s, s - 32 = -2*s - k*h. Solve 5*p + 8 = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, b: 1, y: 1, p: 1}. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3\/2, 2, -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, a: 1, y: 1, h: 1}. What is prob of sequence hn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -87, -6, 5, -251, 4, 0 in increasing order.\nAnswer: -251, -87, -6, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by 6.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by 6\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*9\/6*-98. Let s = -139 + x. What is the smallest common multiple of 19 and s?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23837*r + 381382. Determine o(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-60) + (-27)\/(-45)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 24*r + 10. Let y be q(-23). What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -12, 122, 310?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + d - 2. Let j(y) = -34*y**2 + 31. Let u(q) = -6*c(q) - j(q). Let a = 0 - 8. Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -491 or -1474\/3?\nAnswer: -1474\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-56)*18)\/(-2*1\/16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 127\/14 - 5\/70. Solve 4*x = w*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46721 is divided by 46616?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/8 - 171*a**3\/8 + 2343*a**2\/8 + 2871*a\/8 - 2523\/4 = 0. What is a?\nAnswer: -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1462 = 4*p + 140, -527 = -2*q - p. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.252 - 3.252. What is the closest to -1 in 4, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18676871 to the power of 1\/2, to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0. Let d = 0.083 - -0.327. Let p = d - 0.21. What is the closest to z in -2\/11, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 146, 278, 456, 686, 974, 1326, 1748?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3*t - 4*g**3 - 12*g**2*t + 12*g**2 + g*t - 630*g + t wrt g?\nAnswer: -18*g*t - 24*g - 24*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhfhhfhhffbfhft. Give prob of picking 1 f and 3 h.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**3\/3 - 19*n**2\/2 - 31*n + 7. Let b be g(-17). Suppose 3*w + 6*f = b*f + 9003, 0 = 3*w - 2*f - 8993. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(-3))**(-30) assuming l is positive.\nAnswer: l**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 135. Let r = 370 - u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112425 (base 6) to base 8\nAnswer: -22701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = p, 2*p + 6 = 16. Let d = 10 - r. Solve 0 = 2*z - 0*z + d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i. Let t be u(8). Does 7 divide 2\/(-2) + (t - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24408 and -67\/288?\nAnswer: 97632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 84. Let f = o + -27. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/60)\/(10\/75)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d - 15 = 5*j, -j = 5*d + 25. Let k = 30\/37 - 23\/74. Put k, -0.3, d in increasing order.\nAnswer: d, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/6 - 16*h**2\/3 + 121*h\/6 + 63 = 0.\nAnswer: -2, 7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 40*i. Let a(b) = 254*b**2 + 208*b - 13. Let y(z) = -127*z**2 - 96*z + 6. Let c(x) = 6*a(x) + 13*y(x). What is v(c(g))?\nAnswer: -5080*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 1, -5\/4 in decreasing order.\nAnswer: 47, 1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1113 - -14?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13252953 = -5*n - 97247047. Round n to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 4\/25, -1\/43.\nAnswer: -1\/43, 4\/25, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 145815985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2. Suppose -19*i + 35 = -41. Let c(j) be the second derivative of -i*j + 1\/6*j**3 + 0*j**2 + 0. What is c(z(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1280) - (sqrt(1280) + sqrt(1280)*-2))\/(5*sqrt(250)).\nAnswer: 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-58))\/(6\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 8)*(-31 + 8*a + 31) + a - 2*a + 4*a.\nAnswer: 59*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18282230 divided by -2?\nAnswer: -9141115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/6 (b) -0.4 (c) -0.2 (d) -6 (e) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2579, -8\/1869?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 23 = -2*n + 4*i, 0 = -5*n + 5*i + 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7947 and -13438.\nAnswer: 106791786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 301, 720, 1285, 1984?\n\"Answer: -2*p**3 + 91*p**2 + 2*p - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 552191098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1067254440*m**2 + 347326337*m.\nAnswer: 2134508880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 35*k = 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 4, f: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1446486 and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 + 4*n + 8. Let s(z) = -z**2 + z - 1. Let h(d) = m(d) + 6*s(d). Calculate h(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 42?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53\/1864 - -94\/233. What is the closest to 85 in -1\/5, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11806.95km?\nAnswer: 11806950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**5 + 1\/2*y**2 - 1\/2*y**4 + 0*y - 1\/4*y**3 + 0.\nAnswer: y**2*(y - 2)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-81)\/(-5) - ((-128)\/20)\/8. Solve -3*d - 2 = -g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(4\/2) - -1*6. Let a(s) = -10*s. Let f(c) = -3*c. Let n(z) = q*a(z) - 7*f(z). What is n(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85.544 and 2?\nAnswer: 171.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q**2 + 3*q + 1. Let t be 104\/16 - 2\/4. Suppose -t*i = 4*i + 20. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-94)\/(-6) - 2\/3. Let h be 100\/f - 2\/(-6). What is the greatest common divisor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7309, 6889, 6197, 5239, 4021, 2549, 829?\n\"Answer: s**3 - 142*s**2 - s + 7451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/6 - j**3\/2 - 3*j**2\/2 + j. Let f be x(3). Let u be (-12)\/(-10) + f\/(-30). Put 2, u, 3 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(24\/14) - 8\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345463378?\nAnswer: 2, 13, 241, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14939 and 4663592.\nAnswer: 4648653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 + -275 - (-6 - (1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474.6 + 451.33. Let r = 19.3 + o. Round r to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x - 26*x + 165. Let p = x - -57. Let l be p + -7 + 3 + (-5)\/(-1). Solve -l*u + 10 = -d, -d = -4*u + 3 + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11985*t**2 + 85*t + 425. Let x(c) = 428*c**2 - 3*c - 15. Give 3*d(j) + 85*x(j).\nAnswer: 425*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:44 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 35*g + 134. Determine x(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5. Let v(c) = 9. Let q(l) = -8. Let f(r) = -5*q(r) - 4*v(r). Let m(p) = -6*f(p) + 5*h(p). Let x(o) = o - 3. Determine 7*m(w) + 2*x(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-196)\/22)*(-273)\/117.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4960.59089 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13768449 and -96154.\nAnswer: -96154.13768449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 615.0992 litres?\nAnswer: 615099.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6100 - -11121?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794351?\nAnswer: 23, 34537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 12:25 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 59752 = -5*m + 716718, -2*y - 3*m + 776462 = 0. Let g be 9\/(-12) + y\/220. Let r = -1761 + g. Calculate the common denominator of r and -27\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(4 + (-6 - -1)). What is the third derivative of 12*g**5 + 6*g**2 - i*g**2 - g**2 wrt g?\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*n - 3*x - 2, 0 = n + 4*x + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12775842?\nAnswer: 2, 3, 709769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 2207*b**2 + 2433216*b + 4875264.\nAnswer: (b - 2208)**2*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - -0.6. Suppose -y - 5*m - 15 = 4*y, 0 = 5*y - 3*m - 17. What is the third smallest value in y, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4 + 25525.977694.\nAnswer: 25519.577694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5)*8\/128*16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-198)\/8)\/(107601\/3472 - 31) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - 2*m)*(-701 - 36*m**3 + 701)*(12 - 100 - 57) to z*m**4 + v*m**2 + n + x*m**3 + p*m and give z.\nAnswer: 5220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2)*w)*w)**(-13\/4)\/((w*w**(-1\/14)*w)\/w*w*w**(1\/12)\/w*w) assuming w is positive.\nAnswer: w**(-1261\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 - (-199 - (31 + -3))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-65 - 2) - (74 - (34 + 41))) + 5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + 4.88. Let z be (-40)\/(-96) + 1\/(-3). What is the third biggest value in z, -2\/13, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7398 in -3, -1.4, 3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -5*c - 4*k, -1275*c + 1253*c + 247 = 5*k for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -98+-80\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 11588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, -4, -31 in descending order.\nAnswer: 5, 3, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 36 = -1242. Is -3 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 852 = 0. Let k = -107 + h. Suppose 2*f - k = -26. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 8. Suppose 2*t - 3*t = -6. Suppose 3*s - 16 = 2*b, b - 19 + t = -2*s. Let a be k(s). Solve 0*q - 4*q - a = -4*d, -2*d = 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3440 by 40.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3. Let k(h) = -h**3 + h + 22 - 22 - h. Give -6*k(w) - 2*n(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 24*l + 46. Let i be m(20). Let d = 82 - i. Which is greater: -43 or d?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**3 + 13*j**2 + 11*j. Let h(v) = 4*v**3 - 6*v**2 - 5*v. Let p(y) = 13*h(y) + 6*m(y). Let s = -4 + 6. Let x be 2*(1 - 0)\/s. What is p(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -799.2 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let h be 1 + -3801 + 2 + a. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2 + 10 = 0. Suppose -2*v + 2*n + 4244 = 0, n = 4*v + q*n - 8503. Suppose y = b - 664, 3*b - 2*y - v = -128. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and (-9 - (2 - 1))\/((-4)\/(3*80))?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4653197t in nanograms?\nAnswer: 465319700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:03 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 3, x: 3, q: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4134.024 nanoseconds to days.\nAnswer: 0.0000000000478475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = r - 5*a, 165*a - 161*a = -21*r + 36 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(0 - -2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.07, -2\/5, -3839?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 - 171. Find the second derivative of -38*p - 95*p - j*p + 68*p**5 wrt p.\nAnswer: 1360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2\/3*h**3 - 17 - 4*h - 2*h**2. Let k be c(-1). What is the highest common divisor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -177 + 3\/3 + -4. Let x = y - -181. Suppose 0 = -5*l + 2*c + 9 + 8, -l - 15 = -5*c. What is the least common multiple of x and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65914 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*d = -17, 4*s + 5*d - 19 = 8*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 759998 = z, -y = 4*z - 0*z - 760008. What is y rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1.973. Let b = 0.0244 - i. What is b rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2329962, 4659941, 6989918, 9319893, 11649866?\nAnswer: 13979837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2966, 5821, 8672, 11519, 14362, 17201, 20036?\n\"Answer: -2*u**2 + 2861*u + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:25 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**7\/2520 - d**6\/360 - 5*d**4 + d + 22. Let x(q) be the third derivative of h(q). Let r(c) = c. Determine r(x(i)).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28526?\nAnswer: 2, 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/2 (b) -5 (c) 7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 4*f**2 - f**3 - 7 - 13*f - 5*f**2 + 17*f**2. Determine o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83916 divided by -518\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903332.7 decades to years.\nAnswer: 9033327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 + -16)\/(2\/112). Let a be (154\/b + (-2)\/(-8))*3. Calculate the highest common factor of 117 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675408 divided by -6.\nAnswer: -112568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(3264))\/((sqrt(21) - (sqrt(63)\/sqrt(3) - sqrt(21))*3)\/sqrt(7)) + 2)*-2.\nAnswer: -4 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2, l + 66 = 2*j - 9. Suppose -u - 3 = -j. Calculate the smallest common multiple of 45 and u.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337952 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -13. Suppose -j - 3*j = 68. Let z = u + j. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 60. Let x(c) = c**3 + 16*c**2 + 14*c + 7. Let p be x(k). Let o be 91*15\/42 + (-1)\/(-2). Calculate the highest common factor of p and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167 - 115 - 156 - 187 + 7)*(-7*t**4 + 0*t**4 + 27*t**4) + 2*t - 2*t + 2*t**4 as u + y*t**4 + w*t + f*t**2 + b*t**3 and give y.\nAnswer: -12358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7*126\/(-45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 2*j**3 - j**3)*(1 - 9 + 4).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4539 - 4323 = -18*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404 and 992252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -20, x - 4 = -2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1 + (3 + 0 - 2)*(-1 + 3 - 1) + 0 - 3 + 1 - 2 + 5 - 2)*((-1 + u + 1)*(11 + 1 - 46) - 3*u + 1 - 1) in the form j*u + b and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -12, -18?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Suppose 2*c = -x*c + 10. Solve -8 = 4*j - c*y, -8 = j + 3*j - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 5725521?\nAnswer: -572552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c + 25. Let m be z(7). Put 1, 3, m, -38 in descending order.\nAnswer: 3, 1, m, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137.7528 - -138.2. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, 6, 4, 0.34, -51, 1 in decreasing order.\nAnswer: 6, 4, 1, 0.34, -10\/3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (16 - (-21 + 39))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i - 65*i + 171*i + 15*i**2 - 66*i - 26*i**2.\nAnswer: -11*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -252*h - 3. Let s(c) = 494*c + 8. Determine -7*g(y) - 3*s(y).\nAnswer: 282*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 + 9 = 0. Suppose -q - h = -2, 0 = -g*q - 4*h + 10 - 3. Let t be 1 - -2 - q - -40. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -16. Calculate the common denominator of ((-26)\/22)\/(-1) - 0 and (-21)\/n - 5\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -965 - -3 - (1 - 0). Let z = 1700 + c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 10. Suppose -1 = 4*i + 11, -i = -3*h - 9. Let t be j(h). Suppose -16 = -2*f + t. Solve 3*n = r - 4*r - f, n = 5*r + 27 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 860 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Find the second derivative of -2*a + 5*a**5 + 3*a + f*a**5 wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -732.72 to the nearest ten.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 6258369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 759620 - 314746. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-137349)\/5 + (-3)\/15. Let n = h - -19470. What is n rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 7*i - 8. Let c be f(7). Let b(q) = -11*q**3 + q**2 + 7*q - 16. Let j be b(c). Suppose 5*n = j - 319. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 68\/(-24))*6. Suppose b - 20 = -3*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, -5*x - 1151 = 4*u - 3049. Let a(v) = -2*v**2 - 11*v - 24. Let p be a(-4). Is x - p\/4 - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -354897*y + 61676772 wrt y.\nAnswer: -354897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.1. Let p = -0.8 + 0.4. Suppose -9*o - 24 - 3 = 0. What is the nearest to s in 3, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*r + 122*r + 600 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -89. Let c(h) = -h + 4 + 0*h + 1. Let o be c(n). Solve o = -f + 5*v + 5, 0 = -0*f - 2*f + 5*v + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 - 6*s - 13. Let h be m(6). Suppose 269 = 4*r - h. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.9 - 12. Let u = p + -10.9. Let j = u + 4. Which is the closest to 2? (a) -2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 18*z + 62 = -43*z + 1997 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + s - 102 = 3*s, 0 = 2*h + 3*s - 39. Which is the second smallest value? (a) -1\/5 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41860515 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)\/(-7 - -6)*-18. Let y = -22 + z. Let p(c) = 2*c**2 + 2 - 10 - 1. Let u(q) = q**2 - 4. Give y*p(i) + 9*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 6)\/(-2) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -10, 0.5, 12, -33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from boyoybyobobb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-368 - 7 - 134 + 96)*(-5*c + 3*c - 1 + 5*c) in the form v*c + r and give v.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d + 12. Let t be k(-4). Let m = t + -82. Calculate the remainder when m is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2652 divided by 4.\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/16380 and -95\/72072.\nAnswer: 360360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-253)\/51 + (32 - 27). Which is the second smallest value? (a) 1\/81 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -4*u + 5*i + 0 = 4, -3*u = -4*i + 2. What is the units digit of (-4)\/u + 1\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/9, -25, 33, 3, -1, 0.1, 1 in decreasing order.\nAnswer: 33, 38\/9, 3, 1, 0.1, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87131287279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - -9.7. Let u = -13 + f. Which is the third smallest value? (a) 1\/2 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378842137*y**2 + 182392288 wrt y.\nAnswer: 757684274*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*i = 3*l + 874, 5*l + 3*i = 2143. Let f = l - 415. What is the nearest to 0 in -1\/3, -5, f, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75765 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3853*x - 229787 = 70747 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:48 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/297 - (-41)\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -6, 5, 14, 16.\nAnswer: -6, 5, 14, 16, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:23 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14506 - 1076 = 3*f, 25972 = 5*s - 3*f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770679957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(2\/23)\/w)*w**8)\/(w**5*w*w**(6\/7)) assuming w is positive.\nAnswer: w**(653\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 719848, 5758452, 19434668, 46067302, 89975160, 155477048?\n\"Answer: 719801*c**3 - 3*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -210*f. Let j(u) be the second derivative of 47*u**4\/12 - 11956*u. Determine w(j(d)).\nAnswer: -9870*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689375 by -1.\nAnswer: -689375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 20. Let t(m) = 3*m + 21. Let g(w) = 6*h(w) - 5*t(w). Give g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -199 + 2*y**2 + 199. Let v(b) = 11*b. Determine m(v(g)).\nAnswer: 242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5114 (base 6) to base 10\nAnswer: -1126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or 15754498?\nAnswer: 15754498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = 6*o - 2*n, 0 = n + 1. Factor 4*i**2 - i - 44*i**o + 45*i**4 + 75*i**3 - 79*i**3 + i.\nAnswer: i**2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q - 6. Let o be l(-2). Suppose -4*a - 114 = o. What is the common denominator of 262\/3*(-1)\/4 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 182*u**2 + 185*u + 726. Let b be v(-181). Is 25 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**3\/c)\/c)**(13\/2))**(-16\/9) assuming c is positive.\nAnswer: c**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 471882819, 471882811, 471882801, 471882789, 471882775?\n\"Answer: -i**2 - 5*i + 471882825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 6) in base 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -1.8, 106 in decreasing order.\nAnswer: 106, -3\/4, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -93. Let l = u - -60. Let i = -61 + 426\/7. Which is the nearest to -1\/4? (a) i (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2268, -2268, -2262, -2244, -2208, -2148?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c72 (base 14) in base 3?\nAnswer: 10100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 420416880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 115. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 679328 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3891 = 2*q + q + m, -4*q = m - 5188. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603358.\nAnswer: 2, 37, 47, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 19*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 173199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 510 - 22101?\nAnswer: -21371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.016 and -727 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. Let w = -0.04 + 2.04. Which is the third biggest value? (a) o (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = -64. Let m(k) = 4*k**3 - k**4 + 5*k + 7*k**4 + 4*k**2 + 3 - 5 + 7. Let o(n) = -n**4 - n - 1. Let z(y) = u*o(y) + 3*m(y). Factor z(q).\nAnswer: 3*q**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 - p**3 + 2*p**4 + 0*p**3 + 8116 + 3*p - 8118 in the form c*p + r + t*p**4 + o*p**2 + w*p**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkkikxkuhxkxkkxxx. Give prob of sequence hxik.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98526250?\nAnswer: 2, 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21032920 a multiple of 1910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -38*m + 82. What is the closest to 1\/40 in -5, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 192a7ce?\nAnswer: -192a7d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107967773077 + 107967773077 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 193?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*r + 7*r = -10, 2*r - 1 = -j. Let x be (-52)\/(-4 + 0) - 3. Let g(o) = -o**3 + 9*o**2 + 10*o + 5. Let u be g(x). Solve -u + 8 = j*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 145*z**2 + 3 - 137*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 514*f**3 - 8*f**2 + 16*f - 8. Let d(p) = 171*p**3 - 3*p**2 + 6*p - 3. Calculate 8*d(o) - 3*i(o).\nAnswer: -174*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 - 3*u + 13. Let l(n) = -n**3 - 18*n**2 + 70*n + 149. Let x be l(-21). Let s(v) = -6*v**2 + 2*v - 12. What is x*h(c) + 3*s(c)?\nAnswer: -4*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1695*f**3 + f**2 + 4697.\nAnswer: 5085*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 12\/5*d**2 + 0 + 0*d + 2\/5*d**3 + 2\/5*d**5 - 8\/5*d**4 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 7*v**2 + 5*v + 4. Suppose -5*z + 18 = z. Suppose 0 = z*j + 12 + 9. Let q(h) = h**3 + 6*h**2 - 9*h - 8. Let c be q(j). Calculate m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 31*c**2. Let x(o) = -9*o + 6*o + 0*o + 6*o. What is x(m(d))?\nAnswer: 93*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 841.3600048977 - 841.36. Round u to seven dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -9, 4 in increasing order.\nAnswer: -12, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017194737 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107355459 is divided by 497016.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 8}. Give prob of sequence ee.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85361 divided by -31.\nAnswer: -85361\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*i)*(-9*i - 15*i - 3*i)*(0*i**3 - 6*i**3 + 7*i**3).\nAnswer: 54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.984 - 0.016. Let s = x - -31.2. What is the nearest to 2 in -2, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024558 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-16)*((-32)\/14)\/((-24)\/28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32778 minus 0.0385?\nAnswer: -32778.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 61\/9 - 8\/(-36). Suppose -52 = -d*o + 5*o. Suppose 0*f - 2*n + 1150 = 4*f, 0 = -f + 5*n + 271. What is the highest common divisor of f and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26709278 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 471\/(-2041) - 85\/(-650)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*t + 11882 = 41394, 4*i = 2*t + 59024. What are the prime factors of i?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 1, u: 1, p: 5}. Give prob of sequence zup.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(37*t - 37*t - 4*t**2)*(51 + 151 - 80).\nAnswer: -976*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21024442333 - 1?\nAnswer: -21024442334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**5 - 70*o**4 - 39040*o**3 - 707130*o**2 + 746235*o = 0?\nAnswer: -69, -21, 0, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w. Let a(z) be the first derivative of -z**2 + 471*z + 2847. Calculate k(a(r)).\nAnswer: 8*r - 1884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2010 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 441370051*v + 236720600.\nAnswer: 441370051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 1\/14 (c) -0.6 (d) 2\/147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 - 8*h**3 - 8*h**2 + 32*h + 48 = 0. Calculate h.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = 3*j - 0, 3*q - 24 = 5*j. Solve 0 = -w - q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 4, p: 1, e: 3, i: 9}. Give prob of picking 1 p, 1 i, and 2 t.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504380009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44128 divided by -16\nAnswer: -2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216911278 to the nearest integer?\nAnswer: 14728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050.526 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and ((-39)\/5 + -1)\/(((-434)\/70)\/31)?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**6\/3 - 44*c**5 + 670*c**4 + 9400*c**3\/3 + 4930*c**2 + 3364*c - 4809. Factor g(i).\nAnswer: 4*(i - 29)**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 303 = 5*g - 2, 0 = 3*g - 5*o - 143. Let w(y) = 13*y**2 - y + 2. Let u be w(-2). Are u and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6472)\/(-1304) - 5\/15*15. Let c = 88 - 88. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7574373, -15148757, -22723141?\nAnswer: -30297525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 8*z**2 + 46*z - 3. Let g be c(-12). Let m = -56 + 217. What is the greatest common factor of m and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9100 and 25350?\nAnswer: 354900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-3)\/((-108)\/(-56)). Let k be ((-252)\/(-20) - 12)\/(3\/2). Which is the fourth smallest value? (a) g (b) k (c) -0.3 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2409 + 1210 + 1330)*(2 - 5 - 4)*(3 + 1 - 2)*(-2*s**2 + 4*s**2 - s**2).\nAnswer: -1834*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16202? (a) -13 (b) -5 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120022010 (base 3) to base 8.\nAnswer: -25622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 104.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnnnnnnnggnngngnn. Give prob of sequence gggn.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beebeheetbefhefheeb. What is prob of sequence hbe?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 0.013825473.\nAnswer: -0.0082952838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = 4*z - 19, -2*z + d + 24 = 0. Let l(m) = -3*m - 14 - z + m + 35. Determine l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -108. Let j be (-9)\/2 - 0 - 15\/t. What is the closest to -1 in j, -4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f + 3*h + 3 = 0, 80*f - 82*f - 4*h = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*u = -84*u + 11475 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 2*d + 110*d**2 + 184*d**2.\nAnswer: 294*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z + 2. Let b be (-160)\/15 - (-1)\/(-3). Let q = b + 5. Let j be c(q). Calculate the greatest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21942 by -6.\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/7)\/l*l**(-15) assuming l is positive.\nAnswer: l**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 9:28 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/30 + a**4\/2 - 10*a**3\/3 - 28*a**2. Does 12 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1210 + 475. Let f = k - -6560\/9. Find the common denominator of f and ((-357)\/85)\/(8\/(-10)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247701043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14*l**3 + 2*l**2 - 3*l. Let c be (9\/((45\/(-6))\/5))\/(-2). Let u(r) = 15*r**3 + 2*r**2 - 4*r. Calculate c*u(y) - 4*t(y).\nAnswer: -11*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*(-13)\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.69 plus 0.4?\nAnswer: -34.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**2 - w + 24. What is q(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -654 - -7.27171.\nAnswer: -646.72829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12680 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3)*(1 + -2). Let s = 4 + j. Suppose 4*z = -4*n + 12, -2 = -2*n + z + z. Solve 8 = s*c + n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(4\/(-24)). Suppose -2*q + 40 = d*q. Suppose -40 = -3*i + 5*y + q, -3*i - y + 26 = 0. What is the greatest common factor of 100 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 - z**2 + (-z - 2*z + 4*z)*(-1 + 1 + 2*z) + 117 + 213*z**2 - 117.\nAnswer: 214*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 647 + -644. Solve 0 = -0*a + k*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*(h**(1\/6)*h)\/h*h)\/h)*h**(3\/16)*h*(h\/h**4)**(20\/3) assuming h is positive.\nAnswer: h**(-911\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((0 - -1) + -235)\/((-6)\/3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/75? (a) -0.1 (b) 3 (c) 7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 421 * 0.1.\nAnswer: 42.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:09 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059534367 to five decimal places.\nAnswer: -0.00595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 26*w - 19 + 7 as r*w + d and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.6 + 10. Let h(m) = -m**3 + m**2 + 2*m + 1. Let l be h(-1). Let k be 4\/((-24)\/9) + l. Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 + t**5\/12 - t**4\/24 - 2*t**3\/3 + t**2. Let x = -5 - -7. Suppose -w + 2 = -x. Calculate d(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by 11\nAnswer: 272\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-2*sqrt(96)))**2 + sqrt(10)\/sqrt(405) + (4 + sqrt(160)\/sqrt(5) + sqrt(242)*2 + sqrt(18)*-1)**2.\nAnswer: 1657*sqrt(2)\/9 + 34369\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + 0 + (-2 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by 1.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 3. What is v(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 9*x - 158. Let j be h(18). Let f(z) = -32 + 28 + 3*z**2 - z**3 + 0*z**2 - z. Give f(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 6*w - 3*w**2 + (4*w - 3*w + 0*w)*(-130*w - 30*w + 37*w).\nAnswer: -126*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20*f**3 - 20*f**2 - 35*f - 19. Let q(i) = -7*i**3 - 7*i**2 - 12*i - 6. Let j(a) = 6*k(a) - 17*q(a). List the prime factors of j(-5).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + k + 41 = 0, -162*s + 161*s - 5*k = -25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(sqrt(304) + -1 + -4 + -3 + (sqrt(304)*-1 + -2)*2) + -2)**2.\nAnswer: 1536*sqrt(19) + 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 1 + 7 + 1 + 50*z - 4 to the form h + d*z and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 123 + 133. Suppose -r + 2*r - 4*x = 0, -5*x + 20 = 0. Let i = r + -8. Calculate the greatest common divisor of o and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2 + 3*x + 2. Let o(b) = -b - 1. Let p(h) = -3*i(h) - 7*o(h). What is p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1167270000 to the nearest 1000000.\nAnswer: -1167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 0, 121*r - 28 = -2*w + 119*r. Let o(f) = f**3 - 16*f**2 + 13*f + 22. Determine o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -177. Solve l*j - 5*u = -j + 4, 3*u = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -19. Suppose 2*t = l - t - 18, -5*l + 4*t + 35 = 0. Sort l, m, 0 in descending order.\nAnswer: l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 79.03. Sort c, -5, 0.3 in decreasing order.\nAnswer: 0.3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3437360 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*((o*o*(o**(-2\/7)*o*o)\/o)\/o)\/o)\/o)**(1\/11)*(o**(-3)*o)\/(o*o**1) assuming o is positive.\nAnswer: o**(-296\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1888954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3 + 7. Suppose 0 = -5*s - k*a + 7*a + 105, -4*a - 12 = -s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103704, -207405, -311104, -414801, -518496, -622189, -725880?\n\"Answer: q**2 - 103704*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = 24*a + 33910. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3 + -4)\/((-2)\/6). Which is the third smallest value? (a) 0.3 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3)\/(((-81)\/60 - 0) + 1).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/17 + 9\/136. Let o = -3 + 3. Which is the nearest to 1? (a) o (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5004*b + 1024595. What is q(197)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161\/2 - 244\/3. What is the third smallest value in 2\/9, -3\/8, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 4*a - 221 = 0, 0 = -c - a - 62. Let n = -74 - c. Let l(u) = -3*u + 1. Does 13 divide l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2160\/264)\/(-45) + 2\/((-352)\/(-142))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3766 and 77\/99530.\nAnswer: 696710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323212823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*b + 6, 3*j - 2*b + 5*b - 9 = 0. Suppose j*i + 203 = 4*r + 5*i, 5*i = 5*r - 265. Suppose -60 - r = -8*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 53*z + 688. Give w(-41).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 54 = 3*c. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17304.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6282, -0.08, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - -64) + 1 + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9969441?\nAnswer: 3, 149, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22437, -22443, -22449, -22455?\n\"Answer: -6*x - 22431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from iiiiriiiiiiirrriii?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470846 (base 9) in base 12?\nAnswer: 333266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -23. Let y = 99 - 94. Suppose -v = -y*x + 28. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*i - 19 - 25 = 0, -2*y = 3*i - 39. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-10)\/(-34)). Let x = -9\/2 - o. Which is the third biggest value? (a) -2\/13 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528115 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 is next in 55, 62, 69, 76, 83?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613107.6 + -751.7?\nAnswer: -1613859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrfmrw. Give prob of picking 1 f, 1 w, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a - 51*a - 53*a = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 + -194. Let o be 6\/(-8) + (-45)\/(-12). Suppose -w - 6 = -3*p + w, o = -5*p - w. Solve u*m + m - 1 = p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430662 (base 8) to base 2\nAnswer: 1100011000110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(720) + 4 + -3).\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382648428 + 7*y - 382648428.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 equal to 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2*j - 5 + 0 + 4. Suppose r = 1 - 0. Let a be (r + -3)\/(4\/10). What is m(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**3 + 2*d + 2*d + 3 - 3*d - 4*d. Let x be r(1). Solve 4*w - x = -2*o, -4*o - 28 = -4*w - 0*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103486.\nAnswer: 2, 59, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/(-166)*164\/1435?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 7 - 4)*((-2 - 3 + 3)*(-3*z**3 + 0*z**3 + 4*z**3) - 7 - 5*z**3 + 4*z**3 + 0*z**3).\nAnswer: -27*z**3 - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 53 = -5*o, -t = -7*o - 7 - 65 - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 25*a. Let k(q) = q**2. What is k(x(d))?\nAnswer: 625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 3*r + 12. Let l be q(4). Let a = l + -28. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + z + 9 - 5*z**2 + z**3 - 6*z. Suppose 0*y = n - y - 8, -4*n - y = -22. Does 4 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 11. What is w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4956, -433, 3, -5 in descending order.\nAnswer: 3, -1, -3, -5, -433, -4956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/13, -3\/34, 0.3, -3 in ascending order.\nAnswer: -3, -2\/13, -3\/34, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2367 and 10386?\nAnswer: 2731518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 897?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000757 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26214097, -26214099, -26214101, -26214103, -26214105, -26214107?\nAnswer: -26214109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052 and 1023.\nAnswer: 53.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 3947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = o + 6, o + 6*g - 3*g = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 - 511 = -126*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*c - 221381 + 221381)*(2*c + 3*c - 2*c) + 0*c**2 + 5*c**2 - 2*c**2.\nAnswer: 510*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 49 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w - w. Let o be w\/(4\/7)*1. Let i = o - 3. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*u**2 - 30*u**2 + 43*u**3 - 88*u**3 + 47*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 126*m**2 + 2*m + 105*m**2)*(-1 + 2 - 3) + m**2 + 2*m + m**2 + m**2.\nAnswer: 45*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 3*r**2 - 5*r**2. Let z(g) = -3*g + 4*g + 0*g. Determine c(z(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*29\/(-10701) - 165\/1971.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*f + f**3 - 3 + 46*f + 54*f - f**2 as x*f**2 + n*f + j*f**3 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 2, e: 6, d: 8}. What is prob of sequence iee?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1335565?\nAnswer: -1335566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-448))\/((-1)\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 228 = -5*h - 17*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-718\nAnswer: 143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 6. Let c(s) be the second derivative of -13*s**3\/6 - 13*s**2\/2 + 2*s. What is -4*c(u) - 9*m(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 572 in 5, -1, -0.042, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -122123131123?\nAnswer: 122123131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 9. Let t(y) = -4*y + 9. Let l(n) = -2*t(n) - 3*v(n). Calculate l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/4*20\/35. Suppose 31 = -4*i - 1. Let k = 11 + i. Put y, 5, k in increasing order.\nAnswer: y, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*a + 20*a - 13*a)*(-2*a + a**2 + 2*a) + 2*a**3 + 3*a**3 - 3*a**3.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*r + 8*p = -11*p - 13, 2*r - 15*p = 135 - 114 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(96)*1)\/sqrt(6))\/(1*1*sqrt(512)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 422, 430, 442, 458?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 7*p**2 + 8*p**2 + 8*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 813*x**2 - 407*x**2 + 1.\nAnswer: -1220*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - -9. Let p = 18 - k. Are p and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -27. Let q(a) = -a - 2. Let v(t) = 2*t + 3. Let p(i) = z*v(i) + 3*q(i). Let y(b) = 2*b**2 - 7*b**2 + 2*b**2. Calculate p(y(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/6 + 65*o**4\/3 + 1219*o**3\/2 - 6348*o**2.\nAnswer: o**2*(o - 8)*(o + 69)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/(2600\/40) - -49?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(91)*3 - sqrt(91)) + (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91)*2 + sqrt(91))) - sqrt(91)))*-1)\/(4*sqrt(784)\/sqrt(7)).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1160*k + 86*k**2 - 1160*k)*(-1 - 3 + 2).\nAnswer: -172*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a**2 + 12*a + 36. Let t be b(-11). Suppose -3*z - 3*p - t = 667, -4*p - 3172 = 5*z. What is the remainder when (15\/(-90))\/(2\/z) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20653778 divided by 1.\nAnswer: -20653778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/4*(20\/(-2))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191, -1085, -3367, -7727, -14855?\n\"Answer: -115*y**3 - 4*y**2 - 77*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21737*s - 2 + 2 + 21736*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554\/3 - (-10)\/(-15) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 33 = -4*x, -x + 2*x = 4*n - 22. Suppose 0 = -3*j - j + 1112. Suppose j = 3*a + c + 4*c, -298 = -3*a + n*c. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5185*n - 25*n**2 - 226*n**2 - 212*n**2 - 332*n.\nAnswer: -463*n**2 - 5517*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = x + 5*h, -x - 5 = -h + 5*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8348551577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/347 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -20, 4*t - 2*v - 4 = 0. Let r = -10366 - -10368. Put r, -3, -2, t in ascending order.\nAnswer: -3, -2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 28910*h - 295. Let m(j) = 295*j - 3. Determine -590*m(c) + 6*u(c).\nAnswer: -590*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = 14*h - 1227. Suppose 73*s = h*s + 210. Suppose i = 5*g + s + 8, 202 = 5*i - g. What is the least common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 37 - 37 + 2*v. Let i(x) be the third derivative of 13*x**4\/4 + x**3\/6 - 990*x**2. Determine i(o(u)).\nAnswer: -78*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22885\/3 - 7629. Let j = -7 - -11. Let d(g) = -g**2 + 6*g - 9. Let w be d(6). Sort v, w, j in descending order.\nAnswer: j, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 0, 13 = 4*c - 9*c + 4*g. Let x be (c - 3 - -1) + -35. Let s = x - -73. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -1\/8*s**4 + 0 - 1\/120*s**6 - 2\/3*s**3 + 0*s - 1\/20*s**5 - 3*s**2. Give j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -13*q**5\/60 - 19*q**2\/2 + 18. Let d(p) be the second derivative of g(p). Let j(n) = -n. What is j(d(u))?\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.4, 0.363, -0.3, -2 in descending order.\nAnswer: 8.4, 0.363, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1448*f*o**4 + 2*f*o**2 - 339*o wrt o?\nAnswer: 34752*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -46, -27, 12, 77, 174?\n\"Answer: i**3 + i**2 - 5*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s - 5 - 21*s + 2*s**2 + 14. Let a(h) = h**3 - 4*h**2 - 5*h + 4. Let g be a(5). What is the tens digit of u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + -10 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaqnanqannnnanw. What is prob of sequence na?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247061 (base 12) to base 15.\nAnswer: ba987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(320\/12)\/20. What is the nearest to 0.031 in h, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8543 - 41 = -3284*z + 3052*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 - 166533?\nAnswer: -166361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/2 - 34*c**3\/3 - 52*c**2 + 2098. Suppose h(z) = 0. Calculate z.\nAnswer: -13, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 27. Let v(h) = h + 3. Determine -2*k(w) - 4*v(w).\nAnswer: 10*w + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*s + 2490 - 380*s - 13942 - 379*s + 2*s**2.\nAnswer: 2*s**2 - 6*s - 11452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*s - 17, 8 = -2*s - 0*s. Let f(k) = 104*k**2 - k. Let p(m) = -92*m + 110. What is the remainder when f(j) is divided by p(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/(3\/(-2))). Let k be (4 + 759\/(-189))*37. Let o = k + 4\/9. Is s at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -d - 0*d + 6, 2*q = d + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -565 - -599. Find the second derivative of -4 + s**2 - 16129*s + 16156*s + c*s**4 + 2*s**2 wrt s.\nAnswer: 408*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 2221*o**5\/20 + 403*o**4\/8 - 54*o**2 + 6*o. Find the second derivative of w(p) wrt p.\nAnswer: 13326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1959, 7009, 15273, 26751, 41443?\nAnswer: 59349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxxrrxxxrxrxxx. Give prob of picking 4 r.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19850 and 15086?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(135))\/sqrt(9) - sqrt(15)) + -4*sqrt(30)\/sqrt(2))\/((2*sqrt(80))\/sqrt(4)) + -1.\nAnswer: -3*sqrt(3)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357685902137998 + -4.\nAnswer: 357685902137994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -t - 2*t - 5*s, 3*t - s = -9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from fnymf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-3) - 4\/6. Let d(h) = 7065*h**2 - h + h**3 + 3 - 7065*h**2. What is the remainder when d(s) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 560*z + 6. Suppose -5*u - 20 = 25. Let q be i(u). Let g be 14\/(-21) - q\/(-9). What is g rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 18*i**4 - 2*i**3\/3 + 2*i**2 - 6*i + 110. Does 69 divide d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6550 - 1?\nAnswer: -6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13104, 0.3, 0.2, 80, -1 in decreasing order.\nAnswer: 80, 0.3, 0.2, -1, -13104","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 247*d + 151 = -258 - 85 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/230)\/((-46)\/115)*(-2)\/4.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6792 and 49\/2424.\nAnswer: 685992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:55 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 11858*k**3\/27 + 7700*k**2\/9 + 5000*k\/9 + 3663. Factor a(g).\nAnswer: 2*(77*g + 50)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12554514304 + -2.525.\nAnswer: -2.39945485696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(3\/(-15) - 1). Let n = 4 + f. Calculate the remainder when 28 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38475 divided by 135.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11129 - 2.88871. Sort 0.2, -4\/599, o, 5, 0.1 in descending order.\nAnswer: 5, 0.2, 0.1, -4\/599, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 4*u**4 - 51)*((-2385 + 63*u + 2385)*(0 + 1 - 2) + 0*u - 3*u + 5*u + (1 - 2 + 2)*(u - 3*u + 0*u) + 3*u - 2 + 2).\nAnswer: 240*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 0.5, 1.666?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -88 + 38 + 47 - 98*s. Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**3*t**2 - 2730*j**3*t + 3*j**2*t**3 - j*t**2 + 11838*t**3 + 2*t wrt j?\nAnswer: 18*j*t**2 - 16380*j*t + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*x**5 + 2*x**4 + 5*x**3 + 37*x**2 - 11*x + 1 wrt x?\nAnswer: 3060*x**2 + 48*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*r + 70. Let d = r - -28. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 2. Let x = -3 - -37. Let p be x\/10 - (-10)\/(-25). Give m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 + 1165*v**2 + 3530*v + 2360 = 0. Calculate v.\nAnswer: -2, -1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-44)\/126*9\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 plus -35?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36816208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4082547 less than or equal to -4082547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + 0 - 1) + 0. Let m be (0*(-4)\/(-12)*-1)\/2. Suppose -t*x + 19 + 185 = m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2) + -1)*(-12)\/(-12). Let u(x) be the first derivative of 7 - q*x**2 + 0*x**3 + 0*x - 1\/2*x**4. What is the second derivative of u(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 36285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 4*r - 2*r)*(2 - 3 - 1)*(-1301 + 1301 + 73*r).\nAnswer: 146*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 + 2*p - 4. Give d(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -356 divided by -131\nAnswer: 356\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 732 divided by 3\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 10. Let m be b(-5). Solve -3 = -0*r - 3*r - x, 2*r - 3*x - 2 = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -43, -1\/3, 1, 442, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 5*v + 4*q + 131, 9*v + q - 29 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/18)\/((-1)\/298). Let r = l + 132. Let y = 2 - 2.1. Which is the third smallest value? (a) 4\/5 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - 4*c - 6. Suppose -2*n - 18 = -8*n. Let g be m(n). Suppose -7*s + 16*s - g = 0. What is the smallest common multiple of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1883589)\/(-2493384) + (-10)\/16?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -542 - -542. Solve 0 = 3*p + 3*q + 27, -q - 14 = 2*p - t*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + 63. Suppose 5*m + d = 598. What is the remainder when m is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*p - 9016, p - 6*p = -20. Suppose 3*j = 4*w + f, j - 552 = 4*w + 48. Does 89 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 112*d**2 - 136*d - 1153. List the prime factors of y(-26).\nAnswer: 5, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 21*g - 110. Let r(c) be the third derivative of 1\/60*c**5 + 0 + 0*c - 6*c**g + 0*c**3 + 1\/24*c**4. What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(0 - (-6)\/(-4)). Suppose -3*k - u = 0, -7*a + 35 = -2*a + 5*k. Calculate the lowest common multiple of 11 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/2646)\/((-2)\/(-48))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from crrcccrcccrcrc?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 5.906.\nAnswer: -7.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*h - 35, -5*q - 2691 = -3*h - 2752 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339701 and 29171.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 35.1. Let w = -12 + 8. Let i = w + j. Which is the biggest value? (a) 1\/6 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a. Let z(i) be the second derivative of 1\/2*i**2 + 0 + 18*i + 1\/6*i**3 - 1\/4*i**4. Give w(s) - z(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p + 5*p)*(5 - 2 - 2)*(-3 + 2 + 0) + (-1 + 1 + 3*p)*(27 + 48 + 648).\nAnswer: 2161*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 736?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*p + 3, -16*p - 15 = -5*u - 17*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192113\/22 + 8729. Let l = -3925\/2 + 13709\/7. What is the common denominator of l and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1452 + 727 + 710*z + 726)*(z**3 + 0*z**3 + 0*z**3).\nAnswer: 710*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 3*r - 26. Let z(g) = -2*g**2 - 5*g - 51. Let p(m) = 5*t(m) - 3*z(m). Does 24 divide p(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754548247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 413 + -386?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3708 - 0.3708. Which is the fourth smallest value? (a) 3 (b) 1.7 (c) 5 (d) f (e) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*a = -16 - 3, -2 = -2*l + 4*a. Suppose l*v - 2*v = 40. Suppose -k + v = -3*j, 5*k - 2*j - 3*j = 250. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:48 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1089 divided by -363.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3 + 245*q**2 - 541*q**2 + 297*q**2 + 2. Determine m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 + 168*x**2 + 94*x - 8 wrt x?\nAnswer: 6*x + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 16*p + 4)*(p**2 + 1 - 1) + (3 - 20 + 8)*(0*p**3 + 0*p**3 + 2*p**3) + (-p**2 + 2 - 2)*(-3*p + 4*p - 2*p).\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 120?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 342*u**3 - 4*u**2 - 122*u**3.\nAnswer: 220*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83989 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-1)\/sqrt(7) + 5*sqrt(6)\/sqrt(2))*-5 + (6*-3*sqrt(108) + sqrt(108) - (2*sqrt(108)*2 + sqrt(108))).\nAnswer: -152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*q + 177 = -146*q. Calculate the highest common factor of q and 767.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0098649 to five decimal places.\nAnswer: 0.00986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 21*y + 24*y + 16 = 0, 56 = -22*v - 2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30)\/(36\/20)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 19*m - 74. Let x be y(-7). Let u(g) = -g**2 + 14*g - 1. Let z be u(x). What is the greatest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 0*c**2 + 3*c**2 - 4*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/7 (b) -5 (c) -1\/2 (d) -2\/35 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -130*u - 3. Let t = 8 + -7. Suppose 9 = -4*f + t. Is p(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/40)\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - -62. Let w = v + -92. Let c(k) = k**2 - 23. Give c(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.21 + -6.9. Let i = -0.09 - t. Which is the closest to 0? (a) 1\/3 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21*-1*(-14 - -1). Let j = 256 - r. Let g(h) = -h**2 - 18*h - 21. Determine g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18096)\/(-36) + (-4)\/(-3). Suppose 2*b + 5*b - r = 0. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -144*a - 4\/3*a**3 + 15 - 24*a**2. Factor q(t).\nAnswer: -4*(t + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**1*q)\/q)\/q)\/(q*q**(-2\/3)*q))**(-2\/7) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13790*o**5 - 278*o**4 + 14739780*o**2 wrt o.\nAnswer: 827400*o**2 - 6672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196792385?\nAnswer: 5, 39358477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1468 and (0 + (39 - 3))*(-24)\/(-48)?\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 29*z**2 - 14*z + 78. Is r(16) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*(-2300)\/40. Suppose -5*q + 2*z + 77 = -14, 4*z = -2*q + i. Let f = q + -19. Solve -4*d + d + 9 = f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/4 + 15\/(-60) - -760.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 14. Give w(-18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5\/2*u**4 + 13*u**2 + 0*u + 0*u**3 + 32. What is the second derivative of p(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3287368 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1390*a - 312*a**5 - 60*a + 247*a wrt a.\nAnswer: -6240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771*o - 1736*o - 875 = 0 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -444480624 + 0.34965.\nAnswer: -444480623.65035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20 - -2)\/(-2) - (-26729760)\/240 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 44*z - 233. Let c(o) = -173*o. Determine c(y(u)).\nAnswer: -7612*u + 40309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 2\/23, -36.0688?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(-1 + 4 - 1) - 2 - 2 + 3 + 3 - 4 - 2 + 1 + 1 - 1 - 21 - 6 + 8)*(2*g**2 + 0*g**2 - g**2).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 1, -326\/67?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8568)\/(-6720))\/((-5)\/(-100)) + (0 - -18)\/(-2)\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (38 + -23 + -6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-2*-1*sqrt(117) - sqrt(117)) - sqrt(117)*-2*6)\/((sqrt(9) - sqrt(18)\/(-1*sqrt(2)))*-4).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/7 - 870*b\/7 + 2637\/7 = 0. Calculate b.\nAnswer: -293, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 7*n + 7. What is the units digit of f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**6\/10 - 9*l**5\/5 + 9*l**4\/2 + 34*l**3 + 117*l**2\/2 - 1675*l. Factor b(a).\nAnswer: -3*(a - 3)*(a + 1)**2*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 6. Let k be w(-6). Is 3 + 5 + -3 + k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 2. Let j = r - -8. Let k = j + -3.1. Does 2 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-7 - -6) + 7 + -14 + 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72280*c**4 - 21*c**2 + 594074*c?\nAnswer: 867360*c**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 724\/2172 + 45\/(-81)*42\/58.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*3 + -3)**2.\nAnswer: -72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47978 is divided by 11992?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44, -106, -166, -218, -256, -274, -266, -226?\n\"Answer: h**3 - 5*h**2 - 54*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 614022779 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 620, 1226, 1832, 2438, 3044?\n\"Answer: 606*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 7*h**2 + 7*h - 5. Let z be f(-5). What is the tens digit of (-1)\/2 + z\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -3.7. Let s be 12 + (-1280)\/92 + 2. Which is the third biggest value? (a) 0.07 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812812.5138 less than -0.2?\nAnswer: -812812.7138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 954 + -581. What is the remainder when g is divided by 80?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4796.59 millilitres to litres.\nAnswer: 4.79659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i - 2*i)*(4*i + 2 - 2)*(-2 + 4 - 5)*(0 - 2 + 0).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22651 (base 7) in base 3?\nAnswer: -21222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 814899497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438311\/10 + 43767. Let o = -64 - t. What is the nearest to o in 2, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 4*n - 12. Let k be c(6). Suppose 0 = 8*u + k + 20. Let x = 2\/25 + 21\/50. Sort -3, x, u in decreasing order.\nAnswer: x, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -566207*n**2*p**2 - 2*n**2*p*q + 4*n**2*q**2 + 6*n*p**2*q**2 + 278*p*q**2 + 2*p - 54*q**2 wrt p?\nAnswer: -1132414*n**2 + 12*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/367654?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 664, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*s - 36 = -j, -5*s = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 73*n**2 + 116*n - 76. What is f(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + 112\/80. Solve 3*j + t = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4\/7 + 142952*r**3\/7 - 911921616*r**2\/7 + 2129595574168*r\/7 - 1701850121402924\/7 = 0.\nAnswer: 2467, 28337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.42639ml to litres.\nAnswer: 0.01242639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 49.74. Let m = x + -0.14. Which is the third biggest value? (a) m (b) 0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.42 - 56.4265. Let g = 33 + -9. Let f = y + g. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*o + 40. Let w be 230\/(-69)*3\/2 + 4. Let d be o\/(-63) - 8\/(-126) - w. Are 1 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.3 and 1.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let l(q) = -3*q**2. Let s(v) = -3*l(v) + 5*y(v). Let m(n) = -289*n + 590 + 275*n - 590. Calculate s(m(k)).\nAnswer: -196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2841 - -2856. Solve x + g = -2*x + 2*y, 18 = -4*x + 2*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3318391544 and 2631.\nAnswer: -3318388913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -5 (b) -0.3 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -5)\/(36\/(-120)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 73.3. Let j = -6.2 + -1.8. Let k = f + j. Which is the third smallest value? (a) k (b) 1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-36))\/((-3045)\/(-280))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 - 123. Let v be (b\/6)\/(4 + 81475\/(-20370)). Let t = -1635 + v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 11 = -3*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b. Let k(x) be the second derivative of 17*x**4\/4 - x**3\/6 - 635*x. What is k(y(v))?\nAnswer: 1275*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 425.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(5\/((-60)\/(-21)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 15*n - 20. What is c(15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 474*s**2 - 3770*s - 11. Calculate a(8).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*1 + sqrt(240))\/sqrt(8))\/(sqrt(250) + (sqrt(250) - (sqrt(250) + sqrt(250)*1) - sqrt(250) - sqrt(250)) - sqrt(250) - sqrt(250)) + -1.\nAnswer: -1 - sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 1\/7, -3\/5, -1.3, -3 in increasing order.\nAnswer: -3, -1.3, -3\/5, -1\/15, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*f + 9, -f - 6 = -o - 3*f. Which is the nearest to o? (a) 1\/3 (b) 2\/93 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Solve -k*l = 2*o + 28, -5*o = 3*l - 4 + 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 51*m - 6 = 0. Factor -108*w + 972 - 26*w**2 + 10*w**2 + 9*w**m + 10*w**2.\nAnswer: 3*(w - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*c + 23, 0 = -q + 5*c + 1 + 6. Let l = q - -1. Does 8 divide 14 - -1 - (l + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, b: 1, d: 1, k: 4, o: 1}. Give prob of picking 2 k and 1 u.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s**2 + 5*s**2 + (-s + 5*s - 5*s)*(-4*s - 3*s + 10*s) as l + y*s**2 + k*s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5) + -2 + -26 - (-23 + 9 + 9)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1483158173 to four dps.\nAnswer: -0.1483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1567, -1564, -1561, -1558?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136161356 is divided by 318134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 135.6.\nAnswer: 130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 283*r**4 + 3*r**3 + 6*r - 40. Let s(b) = -284*b**4 - 4*b**3 - 7*b + 42. Let d(h) = -4*c(h) - 3*s(h). What is the second derivative of d(p) wrt p?\nAnswer: -3360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:53 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1033 + -1d?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -296739.01 rounded to the nearest one hundred?\nAnswer: -296700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-11) - (-2 - (-363)\/(-75)))*1?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 66 + 2*c**4 - 2*c + 22 + 29 - 96*c**3 to the form h*c + t*c**4 + m*c**3 + j*c**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 21*i**2 - 11. Let y(h) = 1 + 10*h**2 + 11 - 23 + 1825*h**3 - 1827*h**3 + 6. Calculate 6*f(m) - 13*y(m).\nAnswer: 2*m**3 - 4*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 7*r - 182. Is g(9) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4 = 4*m, 5 = -2*i - m + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 - 0.1.\nAnswer: -67.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31*h**2 - 34*h - 4. List the prime factors of g(7).\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/25392*-207)\/((18\/(-316))\/3)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*t - 1211 + 115 - 668 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247311697 to the power of 1\/3, to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 5071*k - 2815206. Determine c(821).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-1))\/(0 - 1). Suppose -p*h = i - 7, 3*h = -h - 5*i - 7. What is the second derivative of -39*r + h*r**3 + 37*r - r**3 wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -5412?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10742 is divided by 147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200 - 21. Let s = -177 + w. Factor 2\/5*n + 6\/5 - 2\/5*n**3 - 6\/5*n**s.\nAnswer: -2*(n - 1)*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225 a factor of 32987850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/10 - 3*z**3 + 14*z**2\/5 + 3*z - 29\/10.\nAnswer: (z - 29)*(z - 1)**2*(z + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 + 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*c**(2\/9)\/c))\/c*c)\/(c\/(c*c**5*c))*(c*c**(1\/3))**33)\/(c**9*c**(-5)\/c)**15 assuming c is positive.\nAnswer: c**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -60.0767?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -477134 + -15?\nAnswer: -477149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0585 (b) -0.5 (c) 5 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * -2630\nAnswer: 394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*c - 251*c + 67*c**2)*(-11 + 16 + 3)*(2 - 3 + 4).\nAnswer: 1608*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, 1\/5, 0.4, -0.38, -1\/4, 13\/2400?\nAnswer: 13\/2400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 3. Let d(x) be the first derivative of x**2 + 5*x - 4. Let c(o) = o - 1. Let j be c(4). Let w(i) = j*d(i) + 5*t(i). Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - ((-17 - 1) + -12) - ((0 - -2) + 6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000320303 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let u = -53 - -54. Let n be 4\/32*(u - 2). Sort n, f, 2\/7 in ascending order.\nAnswer: n, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -2. Let w(n) = -n + 6. Let q(x) be the first derivative of -4*x + 5*x + 3 - 2 + 2. Calculate r*w(p) - 5*q(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n. Suppose 0 = 5*z + 25, -3*q + 14 = -19*z + 15*z. Let i(t) = -24*t + 1. Give q*i(m) - 7*h(m).\nAnswer: -8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1336*s**3 - 4 + 341*s**3.\nAnswer: -995*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7*h = 2096. Let g = -155 + h. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*b = -68, 10312*b - 10311*b = -3*x + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 51*l + 45. Give c(-4).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -9. Let s = 9 - i. Let y = 10\/9 - 4\/9. Sort y, s, 0.3.\nAnswer: s, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 241*d - 6253. Calculate b(99).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 564719845 and 1.\nAnswer: 564719846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefwwffeqffefwee. Give prob of sequence efqw.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414\/(-1035)*10\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s**2 + 4. Let h be m(2). Let z be (2 - h)*(-8 + -2). Let j = z + 10. Are j and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1152\/9856)\/((-6)\/(-14))*(-4)\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.5. Let b = 995 - 992. What is the closest to -1\/7 in b, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(33\/6) - (-371)\/(-77).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607877152 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 356\/95?\nAnswer: 356\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 17. Let y = 21 + s. Let t be 9\/y - (-52)\/65. Let a(g) = -g**2 + g - 1. Let w(v) = -5*v**2 + 6*v - 2. What is t*w(o) + 4*a(o)?\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 2*k**5 - 4*k**3 + (2*k**5 - k**5 - 3*k**5)*(0 + 1 + 1) + 1 + k**5 - 1 - 3*k**5 + 4*k**3 - 4*k**3 - 59*k**5 - 384*k**5 - 1256*k**5 + 85*k**5.\nAnswer: -1618*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*h - 1, 3*q - 12 = -q + 2*h. Suppose t + 8 = -2*r, -3*r + 0*t = 5*t + q. Let v be (0 + -4)\/(r\/5). Which is bigger: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(51)*-2 - sqrt(51))*-3)\/(sqrt(240)\/sqrt(5)).\nAnswer: 27*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 14*m - 10. Let y(i) = -3*i**2 + 15*i - 9. Let o = 82 + -79. Let s(g) = o*w(g) - 2*y(g). Suppose s(h) = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - m - 15 + 14 + 2*m + 117*m**3 + 1873*m**3 to o + x*m**3 + s*m + c*m**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) - sqrt(153)*2) - sqrt(153) - sqrt(153))*-2 + sqrt(153))\/(1*sqrt(1296)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 207595?\nAnswer: -62278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 591823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14858.142 months to years.\nAnswer: 1238.1785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4534d9 (base 14) to base 13.\nAnswer: -644a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5863783km?\nAnswer: 586.3783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1440 or -394767\/274?\nAnswer: -1440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 18. What is the remainder when (9814\/35 - -6) + 13\/(325\/(-10)) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229015 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x. Suppose -2*c + 23 = 9. Let d be a(c). Suppose 0 = 5*r - d + 3. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 37 = 5*t - 5, -2*a = 4. Let h be 5\/(-2*(-2)\/(-4)). Let q = t + h. Solve -q*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 15*v - 150 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1023 and 35\/378741.\nAnswer: 11740971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1051, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -43, -86, -157, -262?\n\"Answer: -h**3 - 5*h**2 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9 and -65\/1293.\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*c*i**6 - 204814*c*i**4 + 2*c*i**2 + 13918*c*i - 2*i**2 + 2591*i wrt i.\nAnswer: 4800*c*i**3 - 4915536*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1588 + 0.15879525. What is w rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 15. Let s = l - 3. Let x be ((-44)\/(-99))\/(((-64)\/(-84))\/8). Is x > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8197*k**3 + 4988*k**3 + 3203*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 37*f**3 + 115*f**4 + 35*f**3 + 11 - 13 as j + w*f**3 + c*f + r*f**2 + a*f**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((sqrt(170)*-1)\/sqrt(10) - sqrt(68)*-1 - (sqrt(153) + 0 + sqrt(17) + sqrt(51)\/sqrt(3) + 0)**2).\nAnswer: -10*sqrt(17) + 4250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 u when four letters picked without replacement from {n: 5, s: 2, r: 4, l: 1, u: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/5*6\/42*-7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 100, -7, 1.76?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose -48 + 18 = -j*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -81407?\nAnswer: -81408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 - 2 = 0. Let m be (n\/14)\/(3\/8). What is the third biggest value in 2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*c + 4052 + 831*c - 4052 + (-2 + 4 - 1)*(3 - 3 + 2*c) - 3*c + 3*c + c in the form o + y*c and give y.\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1045 + 1044. Which is the closest to 1\/5? (a) 3\/5 (b) 0.5 (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*p - 5*v, 349 - 326 = 4*p - 3*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**3 - 4*p**2 - 4*p. Let q(n) = -6 + n**2 + 95 + n - 89 - 6*n**3. Determine 7*q(j) + 2*t(j).\nAnswer: -4*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 131*n**2 - 129*n - 385. Calculate the remainder when 161\/4 + 6\/(-24) is divided by r(132).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1878 and 1194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 261*u + 56. Let z(l) = l**2 - 130*l + 26. Calculate 6*r(k) - 13*z(k).\nAnswer: -k**2 + 124*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0 - 0) - 1. Let z be (8\/2)\/(1 + s). Let y = -20 - -161\/8. Which is the closest to -1? (a) z (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8250 + 16505\/2. Factor c*o**3 - 5\/2*o**4 + 0 - 10*o + 10*o**2.\nAnswer: -5*o*(o - 2)*(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32\/5? (a) 2 (b) 0.4 (c) -5 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 355, 379, 409, 445, 487?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*y - 6, 0*q = 5*q - 4*y - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 2. Let k(y) be the second derivative of -1\/6*y**3 + 1\/2*y**2 + 0 - 6*y. Let n(h) = 2*k(h) + l(h). Let f(j) = -3*j. Give f(n(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459368 is divided by 133?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -0.3 (c) 2175 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/3 - 761818*h**3\/3 - 3809068*h**2\/3 - 761810*h + 2285439 = 0 for h.\nAnswer: -761813, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 12) to base 5.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c3 + -20a6?\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 - 120*m**3 - m**2 + 117*m**3)*(21 + 1 - 5) + 4*m**3 - 4*m**3 + m**3 to b + j*m**2 + i*m**3 + c*m and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-13) + 3450\/7475. Solve -5*a - 34 = 3*b, -10 = a - w*b - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-75)*50\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1055355 by -1995.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(38\/(-57)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201270977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8123161ug?\nAnswer: 0.0000000000008123161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 - 8*w**4 - 132*w**3 - 88*w**2 + 224*w = 0. Calculate w.\nAnswer: -4, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -aeac?\nAnswer: aeac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353\/20 + 69\/4. Let n = -48.27 + 48. Let j = -0.37 - n. Which is the smallest value? (a) j (b) 2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9*o - 24. Suppose 0*r = 2*r - 10. Let u(z) = 4 - z - 2 - r. Give u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23869904 is divided by 16917?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 >= -1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 + -228. Let v = -0.3 - -1.3. Let k = -0.9 + v. What is the second biggest value in -0.1, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20204, 40459, 60714, 80969, 101224, 121479?\nAnswer: 141734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4463558 and 9332894?\nAnswer: 102661834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 20*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -434780 - -23010409.\nAnswer: 22575629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/60 - 7*s**4\/24 + s**3\/2 - 3*s**2. Suppose 5*z - 30 = -4*p - 0, -4*z - 17 = -5*p. Determine f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5 - 19*a**4 - 35*a**3 - 17*a**2 = 0.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(500)) + 1.\nAnswer: 1 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 1838 = 9*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.5, -0.33, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**3\/45 - 2*k**2\/15 + 2*k\/15 + 7. Find j such that u(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 - 1 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = 0, -9*g - 45 = -6*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/7)*y\/(y\/y**(-15))*y*y)**11)**(-23) assuming y is positive.\nAnswer: y**(22770\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 70. Let j(f) = -4*f - 5. Calculate the remainder when b is divided by j(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 70. Let d = 5 + b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -53*d**2\/2 + 487*d + 1220. Give u(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, and 1 y when three letters picked without replacement from {y: 1, w: 3, s: 4, k: 2, u: 6}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(1\/3)\/(f*f\/(f**(-1)\/f))**(10\/19) assuming f is positive.\nAnswer: f**(-139\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkik when four letters picked without replacement from {i: 2, k: 16}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398 + -40. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -4, 4\/5, 261, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201109*w - 3276 = -200836*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15530, -16929, -18330, -19733?\nAnswer: -21138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-8)))\/c**(-26))**(9\/7))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1.95, 0.1, -3\/7, -1.\nAnswer: -1, -3\/7, -0.3, 0.1, 1.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -2) + (-31 - -5) + 0 - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3 + 5 + 4 - 7*u. Let i be s(5). Let q = i + 41. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -98. Sort p, 12, 3.\nAnswer: p, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = 3*n - 11, 3*n = 4*y. Solve 17*t - y = 20*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/30 - 5*f**2. Let j(z) be the first derivative of z**2 + 36*z + 852. What is u(j(x))?\nAnswer: 8*x**2 + 288*x + 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:53 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 807686 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7649255 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-160)*-8)\/(14\/(-35)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -25.88. Let b = i + 0.62. Sort 0.4, -6, b.\nAnswer: -6, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 9 + 10 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 6 (c) -0.4 (d) -1\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/7 in 3\/2, -1, 0.398?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7344929 to the nearest 10000.\nAnswer: -7340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8793.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z + 159. Let y be q(18). Let j = y + -357. Let n = 5 - 3. Solve -n*g + 8 = -j*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 9*b - 29000000. What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268452336.\nAnswer: 2, 3, 5592757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01428 and 64.\nAnswer: -0.91392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**4*h - 482*d**4 - 93*d**2*h - 8*d*h - 2354*d - 5*h + 2 wrt d?\nAnswer: 168*d**2*h - 5784*d**2 - 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/11 - 5046*y**2\/11 + 3200352*y\/11 - 22155896\/11 = 0. What is y?\nAnswer: 7, 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d + 192. Determine x so that 192*x**3 - 77*x**2 - 107*x**2 + 304*x**4 - 8*x**2 - d*x + 84*x**5 = 0.\nAnswer: -2, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14697 and 11431.\nAnswer: 102879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*x = -96*x - 9230832. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -5*d - 4*z, 5*d = 5*z - 35. Let n(i) be the third derivative of -35*i**2 + 0 + 0*i**3 - 1\/24*i**4 - 2\/15*i**5 - 2*i. What is n(d)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:22 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7244999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458084.\nAnswer: 2, 11, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17299 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from pccqzvzcpcveczqzvvcc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2.01\nAnswer: -6.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -3\/11 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 111*b**2 + 6*b - 8. Let f(u) = -5*u**2 - 45*u - 3. Let c be f(-9). List the prime factors of o(c).\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1577*b - 789*b - 791*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19*x + 5*x - 22*x)*(-3 + 0 + 1) + 19*x + 2*x - 4*x)*(0*x + x - 2*x) - x**2 - 681*x - 3 + 681*x.\nAnswer: -90*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/25 - (-2 - 2)\/20. Suppose 9*w + q*w = w. Find a, given that 0 + 1\/2*a**4 + w*a**3 - 1\/4*a**5 + 1\/4*a - 1\/2*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + -9)\/(-3*(-2)\/(-64)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117504\/(-10608) + 1\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -282*b - 29. Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 42*n + 2. Let c(s) = -83*s - 5. Calculate -5*b(q) - 2*c(q).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 5)*(3*k**3 + 2*k**3 - 4*k**3) + 2*k**3 + k**3 - 4*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4389113, -8778220, -13167319, -17556410?\n\"Answer: 4*v**2 - 4389119*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let k(u) = -u**3 - 1. Suppose 2*g = m + 6*g - 19, 3*g = -5*m + 10. Calculate m*k(f) + t(f).\nAnswer: f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1656 divided by -2\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4909 - 4834. Which is the fifth biggest value? (a) -0.1 (b) 0.3 (c) k (d) 3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2) + (2 - 3). Let u be (-2 + -1)\/(-3) - l. Solve -u = -4*r - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x**3 + 9*x**2 - 3*x + 14. Let c(k) = 7*k**3 - 3*k**2 + k - 5. Calculate 11*c(u) + 4*h(u).\nAnswer: -3*u**3 + 3*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 4. Let m(j) = -j + 14. Let f(i) = m(i) + 2*q(i). Determine f(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -20*m**2 + 158*m - 70. Calculate c(8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22395557)\/24*(-16)\/(-204). Let m = -73188 - j. Calculate the common denominator of 143\/18 and m.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**2 + 0 + 18*u - 1\/6*u**4 + 0*u**3. Let h(r) = -9*r**2. Calculate h(j(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + y - 1. Let z be d(1). Let v = -3 - -3.4. Sort v, z, -1\/4 in decreasing order.\nAnswer: z, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34425 - -34438. Calculate the highest common factor of m and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r + 1\/10*r**5 - 8*r**3 + 0 - 7\/4*r**4 - 8*r**2. Let x(v) = v**2 - 6*v - 7. Let j(w) = 4*f(w) - 27*x(w). Factor j(c).\nAnswer: -3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.4 (c) -20 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.05 (c) 24\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -69\/8 (b) 6 (c) -5\/3 (d) -1.144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiui. Give prob of picking 2 i and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 25 = -10*h. Suppose h*f - 31*f = -15314. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = -3*u - 4*t, -2*u + 3*t - 199 = -2*t. Suppose 140 = b - 0*b. Let n = u + b. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 11*h - 10. Let r be d(9). Let j be 2\/(-8) + (-4)\/r. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -11\/5, -0.9, -0.4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12370 is divided by 10733?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/13 - 34*s**2 - 2080*s - 21632 = 0.\nAnswer: -104, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 10. Let n be f(-11). Let p(g) = -g**2 + g - 1. Let z(a) = -7*a**2 + 15*a - 14. Let r(c) = n*z(c) + 5*p(c). Does 21 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -9, -2, -11, 0, 4, -6 in decreasing order.\nAnswer: 4, 0, -2, -6, -9, -11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 4*r**2 - 11*r + 2. Calculate p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 176*y + 539. Let v be a(3). Let n(l) = 4*l**3 + l**2 + 2*l - 1. Let d(r) = -20*r**3 - 4*r**2 - 11*r + 6. Calculate v*d(u) + 11*n(u).\nAnswer: 4*u**3 + 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 + l - 28 + 2*l. Let q be (4\/(-25)*10)\/(2\/(-10)). Let d be s(q). Let i(n) = -n**2 - 3*n + 3. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*c + 2*o, -40*c - 20 = -37*c - o for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-480)*(-3555)\/(-126)*16\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 3. Let d be r(-2). What is the second smallest value in 4, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6798*d - 6953*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1633330*h*x*z - 4*h*z + 539*h - 3*z - 26 wrt x?\nAnswer: 1633330*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/21 + (-4)\/6. List the prime factors of z\/(-8) + 57\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*s = 11*u + 1, -5*u = 5*s + 5. Suppose 0*a - 20 = a. Sort a, u, 0 in descending order.\nAnswer: u, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621858400 rounded to the nearest 1000000?\nAnswer: 622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100100010110101110000 (base 2) to base 6\nAnswer: 41311104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-602))\/((-28)\/441*162*55\/1980)\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00714672 to 5 dps.\nAnswer: -0.00715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -3.35.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-256)\/(-6) - (-5)\/15. Find the common denominator of (w\/12)\/(6\/(-9)) and 1\/(-4) - 141\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -c + 5*c - 3*t, -3*c + t - 5 = 0. Solve c = -35*j - 8*j - 86 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34759607, -34759606, -34759605?\n\"Answer: a - 34759608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7681 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 2, s: 1, w: 1, n: 1, g: 1}. Give prob of picking 1 w, 1 a, 1 z, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -n + 82, -5*n + 5*r + 236 = -2*n. Suppose -q + 8 = q, -3*i + n = 2*q. Solve -c + 0*c + i = -5*g, 4*c - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -33. Let q be p\/(-6)*9\/(-6). Let n = 104 + -102. What is the highest common divisor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4.9, -10.15 in ascending order.\nAnswer: -10.15, -4.9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 72.33636.\nAnswer: 4050.83616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -229*u**2. Let t(m) = 27*m**2. Give t(a(n)).\nAnswer: 1415907*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 30753*a**3 + 136*a**2 - 68*a + 68. Let u(r) = 2278*r**3 + 10*r**2 - 5*r + 5. What is 5*b(y) - 68*u(y)?\nAnswer: -1139*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-11712793\nAnswer: -1171279.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/12 + 22*t**2. Suppose -16*c + 26 = 58. Let o(f) = -f. Calculate c*d(k) - 3*o(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4320*s**3 + 1181020*s**2 + 1174365*s - 10975 = 0. Calculate s.\nAnswer: -1, 1\/108, 2195\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*u - 90 = 0, 0 = l + u - 60 + 13. Let o = 46 - l. Suppose o = 7*s - 8*s + 100. Is 32 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2084 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-19)\/(133\/(-140)). Let g be 928\/(-14) + (-6)\/(-21). Calculate the remainder when 36 is divided by (-5)\/j - g\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 8*v + 5. Let b be j(-8). Solve -b*l + 17 = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8) + -1 - 1 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 12. Let a be (-1701)\/(-7)*h\/(-6). Suppose 2*d - 5*l - a = -19, -2*d - 2*l = -76. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 94*r - 3277*r - 1480*r - 75*r.\nAnswer: -4926*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34bc (base 14) to base 12.\nAnswer: -5392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 1\/20*w**6 - 1\/35*w**7 + 0 + 0*w**4 + 0*w + 1\/168*w**8 - 1\/30*w**5 - 2*w**2 + 0*w**3. Factor l(c).\nAnswer: 2*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/20)\/(-21)*16\/14\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0, 34 in descending order.\nAnswer: 34, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = 16*i + 57. Suppose -2*b - 2*g = -3*g - 1, -2*g + 8 = b. Solve 3*c = 2*c - 5, -11 = -b*f + i*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-2 + 53)*(-8)\/(-18). Let d = x + -74. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 + 2 + 2*v**2 + 1 + 6*v**3 - 2*v + 5*v**3. Let s be x(2). Suppose -90*a = -115*a + 375. Calculate the highest common divisor of a and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 3*m + 79 + 90 - 252 = 5*m, 0 = -2*l + 5*m - 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 + r**2 + r + 1. Let n be m(-1). Suppose 2*c + 0*c = 6. Sort n, c, 5.\nAnswer: n, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/51 - -6\/17. Let h be ((-18)\/12)\/(15\/(-4)). Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 20*w - 2*w)*(-3*w + 3*w + 5*w) + (0*w - 2*w + 0*w)*(3*w + 2*w - 2*w).\nAnswer: -106*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5*v + 0 - 6 + v.\nAnswer: 6*v - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 158426003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-14))\/((-1)\/(-10)). Solve 15 = v*a - 0*a - 5*y, 5*a = -5*y - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 27 + 16 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7*g + 2608 = -15*g, -4*x + 2543 = 5*g. What is the greatest common factor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*m + 17 = 0, 731*s - 727*s + m + 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4421 in 21, -1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 35682034*a\/5 - 318301887594289\/5.\nAnswer: -(a + 17841017)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2015 - -172. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:31 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1. Let i(b) be the second derivative of 2*b**4\/3 + 4*b**2 + 28*b. Let g(z) = i(z) + 8*t(z). Let p(l) = -2*l - 2*l**2 + 2*l. What is g(p(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:56 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734549 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(3)*-2)**2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 1\/9, -4, -7.892, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 62 = -4*k - 0*k, -k - 5 = 5*u. Let w be k\/(-90) - 53\/(-6). What is the remainder when 25 is divided by w - (-2 + -3 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46848 divided by 3904\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 20940*r**2 - 21882240*r - 87864320 = 0 for r.\nAnswer: -4, 2096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h = -1389 - 123. Solve -h = 8*x - 68 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443582, -887167, -1330752, -1774337, -2217922, -2661507?\nAnswer: -3105092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14*b + 3524008 = 10*b, 0 = -2*v - 2*b + 1761996. What is v rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b8ad (base 15) to base 14.\nAnswer: -1aa494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 121, 125, 129?\n\"Answer: 4*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.928 - 22.328. Sort 0, -90, k in descending order.\nAnswer: 0, k, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, a: 7, t: 3}. What is prob of sequence atqa?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 78.772554s?\nAnswer: 0.000911719375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uxvbvxxuxcuxcuuvxb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48 or 1\/10?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*p - 84 - 80, -2*p + r = 82. Let k = 76 + p. Let o(z) = -2*z**2 + 26*z - 37. Let v be o(11). What is the greatest common divisor of k and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 10904?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331869 - -331871. Factor -28\/17*p**f - 192\/17 - 128\/17*p - 2\/17*p**3.\nAnswer: -2*(p + 4)**2*(p + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 43. Let m be o(-38). Which is the third biggest value? (a) m (b) 0.5 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (86\/(-4))\/((-1)\/2). Let h = -35 + d. Suppose -59 = -b + h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*u - 16, 5*j + 2*u = 7*u - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340 + -175. What is the remainder when b is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/10 - 1\/5. Let d be 3\/(u - -14)*3. Suppose -4*j = -2*a, 3*j - 3*a + 10 = a. Is j greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*k + 12 + 9, 5*f = 5*k. Suppose 0 = 2*d + 4*b + 26, -14 = -5*d + b + 20. Let j be 1 - (-6)\/(1 - 3). Sort f, -4, d, j in ascending order.\nAnswer: -4, j, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4696143 is divided by 3920.\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 732*s - 64. Let a(t) = t - 6. What is 10*a(g) - h(g)?\nAnswer: -722*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1832 + 1833. What is the closest to -1 in 2, 17, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -142. Is ((-1696)\/c)\/((-4)\/(-138)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1017 and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:18 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(-3 + 3 + o**2) - 617*o**2 - 91*o**2 - 368*o**2.\nAnswer: -1073*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/(3*1\/51). Which is bigger: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -350 + 45a?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.74 + -10.74. Sort 1\/6, 109, -3, k in descending order.\nAnswer: 109, k, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, z: 2}. Give prob of picking 1 z and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from pssccsspppssc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52968 or 688590\/13?\nAnswer: 688590\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100748 by -3.\nAnswer: -100748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -8c3?\nAnswer: -8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 2, o: 7, h: 1, a: 3}. What is prob of sequence aoqh?\nAnswer: 49\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722862639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111217 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 1218 - 1218. Suppose -r = 6*w - 3*w - 8, -2*r = w - 6. Let q(i) = -i**2 - 2*i**r + 2*i**2. What is m(q(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 + 37*i - 227. Calculate f(8).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -3.9. Let g = -3.9 - r. Let t = -4.2 - 0.8. What is the nearest to 1\/3 in g, -2, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438464 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -525, -1188, -2117, -3312, -4773?\nAnswer: -6500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.5 (b) 1\/4 (c) 8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 14. What is the remainder when 9 is divided by w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79009 = -1511*d - 23739 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/20*-4*1*-1. Suppose -3*w + j - 5*j = -10, 2*w + z*j - 6 = 0. Solve w*k = 6*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 1, x: 1, e: 4, p: 1, w: 1}. Give prob of picking 1 p and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -2*b - 5*x, b - x + 138 = -0*b. Find the common denominator of (-2)\/(-30)*b - (-2 + -1) and -103\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 6*k + 3*k. Let h(t) = 5 - 4 + 1 - 2*t. What is h(a) - 4*w(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:08 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, 4, -8 in increasing order.\nAnswer: -17, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244755 + -244766.6231. Let y = v + 11.6. What is y rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-32) - (-1083)\/12. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - -5. What is the remainder when o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -1. Let m = 0.02 + p. Let x = -2.08 - m. Is -6 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -847?\nAnswer: 3\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58377*g**2*z**3 + 2*g*z**3 - 317970*z**3 wrt g?\nAnswer: -116754*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4918*r**2 - 11*r**3 + 1 + 1 + 4918*r**2 as o*r + a*r**3 + u*r**2 + i and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18096\/2340 + 16\/(-2). Suppose 4*h - 3*p = h - 6, -p = 4*h - 7. Suppose 0 = 3*v - 4*v - h. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -406, 4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 819112.\nAnswer: 2457336","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 11520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/2940)\/((-31)\/62).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.18 - -59.12. What is g rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0172924 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10133 or 10141?\nAnswer: 10141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169.033 - -167.5. What is o rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:19 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.173. Which is the fourth biggest value? (a) t (b) -5 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*(-1 + 2)\/4. Let z be 0 - (-1 + -2 + 0). Suppose -2*a = z*a - 45. Solve a = t*f - 0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eselssldsllttd. What is prob of picking 2 l and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 6 + -1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 5*f + 1. Let v(o) = 27*o**2 - 26*o + 3. Calculate 11*h(a) - 2*v(a).\nAnswer: a**2 - 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 + 160 = 14*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. Suppose -3*r - 2*o + 3*o + 19 = a, 0 = 5*r + 2*o - 39. Suppose 3*z - 5*z + 4*z - 8 = 0. What is the remainder when r is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1343738, -1342925, -1342112, -1341299?\n\"Answer: 813*z - 1344551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (212\/(-108))\/(3\/(-9468)). Let n = -6187 + z. What is the common denominator of n and (2\/(-15))\/(12\/(-873))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*j + s - 6 = -357*j, -4*s + 14 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57938 or 57935?\nAnswer: 57938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2)*((-14)\/(-392))\/((-6)\/12).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4.172+-2204\nAnswer: -2199.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + a**4 + 2*a**2 + 2*a**4 - 2 in the form m*a**2 + i*a**3 + h + f*a**4 + p*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from eettttt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 364 = 24*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05055 times -0.78?\nAnswer: 0.039429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 7*d - 20. Let t be c(10). Solve 3*z - 4 + t = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10542924 divided by 161\nAnswer: -65484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 8*w**3 + 76*w**2 + 160*w - 100 = 0.\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 - -14.33. Let v = -193 - -394. Suppose 25*p - v = -76. Which is the third smallest value? (a) o (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 426, -2\/17, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 8. Let n be u(-6). Let t be (n - -12) + (102000 - 2). Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 9\/4*f - 6*f**2 - 1\/4.\nAnswer: (f - 1)*(4*f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2 - 1 - 3*f - f + 2*f. Let p be m(-6). Suppose 3*b = -0*b + p. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12*(-10)\/(-120))\/((-2)\/14). Let j(s) = 5*s**3 + 6*s. Let m(l) = -5*l**3 - 7*l. Determine k*j(h) - 6*m(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.902mm in centimeters?\nAnswer: 24.4902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2052*i**3 + 6*i**2 + 1775. Let w(g) = -6160*g**3 - 20*g**2 - 5326. Let l(b) = 10*c(b) + 3*w(b). Differentiate l(r) wrt r.\nAnswer: 6120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.89 + -0.11. Let u = 3.8 + a. Let s = 1748\/9 - 194. What is the second biggest value in -0.3, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5491 and 112613.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244454975.\nAnswer: 3, 5, 593, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -3259.\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x - 5*q, -2*x + 1 = -4*q - 1. Let n(m) = -m - 1. Let h(i) = i**2 + 5*i + 5. Let u(k) = x*n(k) + h(k). Let s(c) = -c**2. Determine u(s(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/14 and 11\/4960.\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 12. Suppose 21 = -0*c + c - g, 0 = 4*g + 4. What is the least common multiple of j(8) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 37. Let u = p + -16. What is the remainder when 34 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*v - 2 = -v, -3*v = -3. Let u = -4 + 3.6. Which is the second smallest value? (a) r (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a**3 + 184170*a**2 - 1960640*a + 5224960 = 0.\nAnswer: 16\/3, 4082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005177 is divided by 2519.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**7*r)\/r)\/(r\/r**(1\/14))*(r*r\/((r*r**1)\/r))**44 assuming r is positive.\nAnswer: r**(715\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436307.\nAnswer: 436307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/51 and -10\/257.\nAnswer: 13107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/g)**(-19))**(-34) assuming g is positive.\nAnswer: g**(-1292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 30*k + 16. Let q be j(27). Suppose 2*o = -35 + q. Calculate the remainder when 53 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31363 - 31368. Sort 223, 3, i, 5 in decreasing order.\nAnswer: 223, 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 13*y - 78. Solve y*n - 30 = 33*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 5, g: 5}. Give prob of sequence qq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7404 or 438?\nAnswer: 7404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 1115592750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.7965527 and -4.\nAnswer: -8.7965527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-eight fifths of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913*0.00317.\nAnswer: 2.89421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 1. Determine t(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10436, -10089, -9512, -8705?\n\"Answer: 115*v**2 + 2*v - 10553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*v, 3*l = -0*l - 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 - 6*h + 4. Let x be k(6). Suppose -32 + 80 = -x*s. Let v = 27 + s. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*19\/(3990\/100)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713 = -46*w - 885 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*y - 0*y - 22, -c + 10 = 5*y. Suppose -c*d = 3*v, -2*d + 3*d + 8 = v. Solve v*j = -0*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1325 or -1324?\nAnswer: -1325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 18*k**2 + 11*k**2 + 2*k**2 - 13*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 364 + 1226. Let o(t) = -t**2 - 13*t - 2. Let v be o(-10). Suppose g = 2*h + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29 = -5*r, -3*r + 3 = 5*m - 2. Sort -2\/15, r, -5\/4 in increasing order.\nAnswer: r, -5\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027230 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*r - 2*r - 45, d - 15 = -r. Let i = -445 + 487. Calculate the remainder when i is divided by d + 0\/(2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6126956021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1017*c**5 + 385*c**2 wrt c?\nAnswer: 61020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (23 - (-18 + (9 - 12)))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212688 is divided by 75791?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 2*i - 2*i)*(6362 - 242*i - 6362)*(i + i - 3*i) to u*i + b*i**2 + j*i**3 + a and give j.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 50 = 85*q. Calculate the common denominator of ((-1887)\/(-370))\/((-5)\/(q\/12)) and -109\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j - 326 = -219*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -2.16. Which is the closest to 0? (a) u (b) 5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7667 divided by 17?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 3, x: 1, a: 1, s: 1, i: 2}. Give prob of sequence sz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24 = -3*t. What is the common denominator of (-1)\/t*618\/(-12) and (-316)\/(-10)*805\/(-7084)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51506 divided by 1\nAnswer: 51506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -3232\/121?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1795*l**2 - 699*l - 2 wrt l?\nAnswer: 3590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5600\/600*(-6)\/(-16). Let r(f) be the second derivative of -5*f - 8\/3*f**3 + 0 + a*f**2. What is the derivative of r(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -17. Sort 2\/7, 0.1, q.\nAnswer: q, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 + k. Let t be f(0). Suppose 3*p + 2*p + 2*c = 58, 5*c + 5 = t. Solve 4*z - 4*v + 12 + p = 0, -3*v - 12 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/135 - v**5\/270 + v**4\/27 + v**3\/27 + 2*v**2. Factor s(j).\nAnswer: -2*(j - 1)*(j + 1)*(4*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose -s*r + a + 13 = -4*a, -a = 2*r - 3. Solve -r = -3*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 36, 28, 6, -36, -104, -204, -342?\n\"Answer: -b**3 + 2*b**2 + b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -384220, -767573, -1150926, -1534279?\n\"Answer: -383353*z - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112046887 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 - (-260)\/(-48))\/(36\/189) and 11\/314.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(5\/925). What is c rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18260105 smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 8.7.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from hfffhhffffhfhth?\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 8:51 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 392, 3\/4, -0.08, 34\/9 in descending order.\nAnswer: 392, 34\/9, 3\/4, 0, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -9)\/2 - -23321. Suppose l + s = -2*y - 3*y, 5*y = l + 23275. Round l to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339361 is divided by 4768?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = -3*c + 6, -3*c - k = 35. Let h be c + 15 - (-2)\/2. Solve h = -2*y - y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15117.2109ms to days.\nAnswer: 0.00017496771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-10))\/(2\/(-8)). Suppose 0 = 13*m + 2*m - 75. Solve -3*n + m*v + 18 + 11 = 0, i*v + 10 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7021126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 25*k**2 - 56 + 30.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-3*1 - 344*(-54)\/2592?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137.96 - 0.96. Let a = 45624.258 - 45761. Let i = a + m. What is i rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l + 3*m, 9 = -2*l + 4*m - 5. Suppose -2*q = l*p + 10, 6 = -2*p + 5*q + 31. Suppose -3*r + 5 + 22 = p. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -25. Let s be (-1)\/(l - (5 - 3)). Let a be (-4)\/(-4 - -1 - s). Solve 0 = a*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-325 + 648 - 323 - 2328*g)*(-3 + 1 + 4) to z*g + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:34 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 55. Let m be t(-12). Let f = m + 109. Let s(d) = 2*d**2 + 6*d - 8. What is s(f)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3439*q + 3454*q. Let t = 2 - 2. Solve q = x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -28, -2 in ascending order.\nAnswer: -28, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + -4) - (-6 + 9 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from tnhvvntvtftf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86582930, 86582928, 86582926, 86582924, 86582922?\nAnswer: 86582920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + f. Let u(y) = -y**2. Give b(u(s)).\nAnswer: 7*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1003 in 0.5, 3, -65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 33. Let m be r(-13). Let t be m\/12 - (-6)\/4. Let q(w) = 3*w. Let y be q(3). Sort 0, y, t in decreasing order.\nAnswer: y, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -p. Suppose p*h - 23 = -4*l, -4*h + 10*l + 10 = 5*l. Let y(g) = -1 - 6*g - 1 + 5*g. Calculate y(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -0.00509 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**3 - 10*y**2 - 20*y + 21. Let v(d) = -5*d**3 - 3*d**2 - 7*d + 7. Let c(n) = -6*s(n) + 17*v(n). What is c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2. Let z(b) = 12*b - 16. Let s(f) = 38*f - 38. Let p(u) = 3*s(u) - 10*z(u). Give i(p(j)).\nAnswer: 180*j**2 - 2760*j + 10580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -588 + 192. What is the remainder when 495 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/12 - 1\/(-4). Suppose 6*x - 8*x + 142 = l, -i*l + 420 = 3*x. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1561, -8, 4\/15, -5.\nAnswer: -1561, -8, -5, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1684323 > -1684334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -20*o**3\/3 + 11. Let m(h) = 2*h**2. Calculate u(m(l)).\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 67*a**2\/2 - 3137*a\/2 + 3069\/2.\nAnswer: (a - 31)*(a - 1)*(a + 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 2*l**3 + 0*l**3 + 6*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3, 15 = 2*o - 2*q + 3. Suppose o*v = 7*v - 280. Let z = 122 - v. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287653459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 177066 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 15. Suppose -8*h + 165 = -v*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181069504 by 3248.\nAnswer: -55748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*s**2*w**3 - 53647*j*w**3 + 14976*s**2*w**3 + 5*w**3 wrt j.\nAnswer: -2*s**2*w**3 - 53647*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 349*n**3*r**5 + n**3*r**2 - 8*n**3 + n**2*r**2 - 5*n*r**5 wrt r?\nAnswer: 20940*n**3*r**2 - 300*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i**3 - 31*i**3 - 12*i**3 + 104*i**3 - 6*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beq when three letters picked without replacement from jqsbe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(4*i - 6*i + 10*i)*(20*i**2 - i**2 + i**2) in the form m*i**3 + a + y*i**2 + q*i and give m.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -345*m**4 - 2*m**3 + 3*m**2\/2 + 3*m - 42. Let o be f(-3). Round o to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from ttts.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.58 + 67. Let f = 1.1 - r. What is f rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909755660.\nAnswer: 2, 5, 11, 71, 58243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 41. Let z be c(20). What is the nearest to -0.2 in 3, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 676844 and 479?\nAnswer: 324208276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/40 + 3\/8. Put 5, l, 2 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*d, -2*d + 4*d - 6 = -v. Suppose d*u = 5*u - 6*u. Solve 0*c - 5*l - 3 = -2*c, 3*c + l + 4 = u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:29 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19427 - 19392. Calculate the least common multiple of 1830 and z.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -122. Calculate the greatest common factor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**2 - 178*y - 405. What is q(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.03 - -7. Let c = -0.17 + j. Let s = -0.8 + c. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-280)\/50)\/(5\/((-125)\/2)). Suppose -4*v = 4*a - 164, -2*a - 15*v + 10*v + p = 0. Which is bigger: 46 or a?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, -4, -8, 159 in descending order.\nAnswer: 159, 5, 2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94128840083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -113. Let y be 1 + (-1 + 3)*4. Factor -6*p + g*p + 11*p**2 + y*p**2.\nAnswer: 4*p*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23746823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840800415?\nAnswer: 3, 5, 7, 13, 615971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 3 + (-4 - (-7 + 2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473062?\nAnswer: 2, 3, 29, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -105, -104, -103?\n\"Answer: y - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4757, 4628, 4411, 4106, 3713?\nAnswer: 3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 15.242.\nAnswer: -1.67662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 16*j**2. Let t be x(8). Suppose t = 344*i - 351*i + 21581. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442203 + 43?\nAnswer: 442301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/4 + 1 + 4. Let t(b) = 5*b - 3. Let l(m) be the third derivative of m**4\/4 - 2*m**3\/3 - 8*m**2. Determine o*l(z) - 4*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 127\/2 - (-2)\/(-4). Suppose -n + 4*n = -69. Let j = o + n. What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/3 - 38006*a**3\/3 + 151874*a**2\/3 + 747378*a - 1595916 = 0?\nAnswer: -7, 2, 9, 18999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**3\/4 + 1005*w**2\/4 + 2988*w - 432 = 0. Calculate w.\nAnswer: -24, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*v - l, -56 = 3*v + v + 4*l. Let g(y) = 23*y + 1967. Let s be g(-86). Is s bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a century in months?\nAnswer: 29600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1aad30 - 2?\nAnswer: -1aad32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 27. What is f(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 360*b + 4646. Let m be h(-15). What is the fourth biggest value in -3, 3, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d - 2. Let n be a(-2). Let o = -4 - n. Let p = o + -9. Solve 0 = -c - p*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13423*t**4 + t - 58730 wrt t.\nAnswer: -53692*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 36. Let t(q) = -q - 12. Let u(p) = -3*c(p) + 8*t(p). Let a(n) be the first derivative of u(n). Let i(b) = b + 5. Determine -6*a(z) + 5*i(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195947538?\nAnswer: 2, 491, 4272859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*(-2)\/(75\/6975*(-105)\/7)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -25*a - 14. Let v(g) = 50*g + 28. Let f(k) = -5*c(k) - 2*v(k). Let x be f(-5). Let t = 172 + x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(1539) - sqrt(1539)*-2))**2 - ((-1 + sqrt(1539))**2 + -1 + 3*(sqrt(1539) - (sqrt(1539) - (0 + sqrt(1539)))**2) + sqrt(1539)))*-3.\nAnswer: -369372 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i - 3. Let s be r(2). Suppose -4*t + t = -s. Let z = 11 - 2. What is the smallest common multiple of t and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1542?\nAnswer: -1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = -2*v, 0 = 13*i - 10*i - 12. Sort -38, v, 1\/2 in ascending order.\nAnswer: -38, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5453.5 + -0.0858.\nAnswer: -5453.5858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m**2. Let h(y) = -3*y - 7*y + 15*y - 7*y. Give x(h(p)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 - -0.31. What is the third biggest value in 1, -1, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from kpkxxlk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y - 4. Let i be t(-3). Let l = i - -45. Suppose -2*d - 6 = k - 19, 2*d = k - l. What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 2, z: 1, g: 6, i: 2}. What is prob of sequence tui?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(3*w - 3*w - 7*w**3).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = 6. Let t = 41663\/1462 + 2\/731. What is the common denominator of (-46)\/11 + a\/4 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -3*d**5\/20 + 21*d**4\/4 + 105*d**3\/2 - 375*d**2\/2 + 3*d - 139. Factor y(h).\nAnswer: -3*(h - 25)*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 12.4. Let v = i + -11.4. Which is the second biggest value? (a) v (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -227? (a) -52 (b) -4\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2\/5*s**5 + 5 + 0*s**3 + 0*s**4 + 0*s + s**2. What is the second derivative of k(f) wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/30211 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 56 = 24. Put d, 1, 2, -4 in descending order.\nAnswer: 2, 1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttoxxjtxxtxtxxx. What is prob of picking 1 x and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -48434*(-551)\/(-4)*-2. Suppose 2*z = 2543567 - v. Round z to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*45\/(-2700)*(-10)\/4*-19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171976 divided by -518?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/12*612\/(-3672).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavaavvvvvv. Give prob of sequence vv.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128485 less than 128479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.380436 months to years.\nAnswer: 1.531703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -14*u + 5840. Let x be 4\/6 + (u\/6)\/5. Let k = x + -31. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -9 + 2 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35264792399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n - 135. Suppose 0 = 4*b - 4*o - 36, 0*b + o - n = -3*b. Let p = 19 - b. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/7, 0.3, -1\/9, 190?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*m = 5, -7*s = -2*s + m - 23. Suppose -3*w + 547 - 72 = -s*g, 5*w = 4*g + 789. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 h, and 1 d when four letters picked without replacement from ddiohhh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqooo. Give prob of sequence qoq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.01986 <= 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 342240.\nAnswer: 1711200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14010, 55912, 125744, 223512, 349222, 502880, 684492?\nAnswer: 894064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438417056 divided by 28.\nAnswer: -15657752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109237040*g**4 - 3259138*g?\nAnswer: 1310844480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d + 9. Let p(x) = -10*x - 10. Let f(q) = -5*c(q) - 4*p(q). What are the prime factors of f(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b**2 - b - 8. Give n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**6\/6 - 9*m**5\/5 + 15*m**4\/2 - 44*m**3\/3 + 12*m**2 + 41. Suppose y(a) = 0. What is a?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173538846?\nAnswer: 2, 586769423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/15*(-5)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -1, -11\/4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.80699 - -3873\nAnswer: 3872.19301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57508 or -6440765\/112?\nAnswer: -57508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 - 368*p**3 - 1948*p**2 + 40280*p - 69888 = 0. Calculate p.\nAnswer: -13, 2, 7, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s*u**4 + 3*s*u**2 + 12*s + u**4 + 13*u**3 - u**2 wrt u.\nAnswer: -48*s*u + 24*u + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:57 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a. Give u(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 374 - 434. Suppose -5*u + 6 = 2*r + 4, -s = 2*u + 4*r. Solve 2*w = -u*q + 16, 2*q - w + 18 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-5) - -5) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/120 and 151\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 4*g**3)*(2*g**2 - 2*g**2 + 2*g**2) - 10*g**5 - 9*g**5 - g**5 - 21*g**5.\nAnswer: -33*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -5, -110, 1.\nAnswer: -110, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 106 = -82. Let l(c) be the third derivative of -c**6\/60 + c**5\/30 + c**4\/24 + c**3\/3 + 2*c**2. Calculate l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2803\/15 - -187. Suppose 2*c - 5*x - 2 = 0, -4*c + 4 = 2*x + 24. What is the nearest to -1 in c, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and -3*((-16)\/12 - 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 3, 8 in decreasing order.\nAnswer: 8, 3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160613.\nAnswer: 3160613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -131. Does 3 divide 20 + 10\/(-2) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1962 is divided by 626.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnunuaunuuuaa. Give prob of sequence aaan.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c59 (base 13) in base 15?\nAnswer: 9143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 3, 10, 21?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3*h + 6*h)*((0*h + h - 4*h)*(3*h**3 + 2*h**3 - 3*h**3) - 4*h**4 + 4*h**4 - 2*h**4).\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1410 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*d - 6*d**2 + 79*d - 36*d as l*d + n + g*d**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 73923?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t**2 + 2*t**2 + t**2. Let x(v) be the third derivative of -v**6\/360 - 3*v**3\/2 + 11*v**2. Let c(w) be the first derivative of x(w). Give u(c(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 431\/2?\nAnswer: 431\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 865054 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {w: 1, g: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.5, 0.13, 0.2, -2\/41, -391?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26052 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23220*g**2*r**2 + 18483687*g**2*r + 638*r**2 wrt r?\nAnswer: -46440*g**2 + 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*(-76)\/95*20\/(-6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -12690?\nAnswer: 1268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (215\/210)\/((-1)\/4)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - ((412 - 409) + (0 - -8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 31*u - 34. Let k be y(24). Let z = k - -209. Let s be (12\/10)\/((-2)\/10). Put z, -5, s in decreasing order.\nAnswer: z, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t + 2 + 2*t**2 + t**2 + 3 + 4.\nAnswer: 3*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, u: 5, v: 2, m: 3, w: 2}. What is prob of sequence vwd?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4027 + -4026.46. Does -12 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + -51. Let g = j + 145. What is the highest common factor of 20 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**3\/9 + 149*n**2\/9 + 280*n\/9 - 92\/9 = 0.\nAnswer: -2, 2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1644 by 12.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6 + 4. Let c = 0 - i. Suppose 2*f = -0*f - 2*l - 14, -2*f - c*l = 26. Sort -2, 5, f in decreasing order.\nAnswer: 5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 - (-70 - (-26 - -23 - 23)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44971559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*m, 23 + 2 = 3*b + 2*m. Suppose -b*i + 0*i = 0. Suppose i*l - 14 = -2*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11001 divided by 20.\nAnswer: 11001\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 0. Let a(x) = x**2 + x + 4. Suppose 5*l = 5*i + 5, 3*i = 5*l + i - 14. Let s(g) = -g**2 - g - 3. Let p(d) = l*a(d) + 5*s(d). Give p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33915 and 112455?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54084 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 27 + 12 + 15.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 12*u - 61 = -13. Let i = -6 + 9. Put i, u, 7, 1 in decreasing order.\nAnswer: 7, u, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - s**2 + 8*s - 1. Find the common denominator of 24\/251 and q(3).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1148)\/(-56) + 2\/(-4). Let a be (25\/(-10))\/((-4)\/(64\/g)). Let i(v) = 7*v**2 + v - 2. What is i(a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713360 * 4\nAnswer: -2853440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0, 20\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 113 = -64 - 117 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41134, 82459, 123784?\n\"Answer: 41325*m - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*i + 23*i = 4*i - 135 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**3 - 44 + 147 - 69.\nAnswer: -15*c**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 - 1626*t**3 - 21732*t**2 + 48330*t - 24975 = 0.\nAnswer: -15, 1, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Suppose -w*v - v + 9 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39197608 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051*115.\nAnswer: 120865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-8)*-718)\/((-13)\/78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08847755 + 26127.788.\nAnswer: 26127.87647755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1115\/6 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Suppose -2*y + 3 + 7 = 2*l, -5*l + 19 = 2*y. Let o(q) = 6*q**2 - 9*q. Let b(t) = -t**2 + t. Let c(g) = y*o(g) + 18*b(g). What is c(h(w))?\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73, 85, 97, 109?\n\"Answer: 12*q + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/21471 and 187\/60.\nAnswer: 429420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 460665294 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.329 - -156.329. Let u = -156.3 + l. Let k be 6\/(-10)*(-4)\/(-6). What is the closest to -1 in -1\/4, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*w + 3*k, 2*w - 2*k + 6 = 3*w. Let j = 11 + 0. Suppose -j*h = -w*h + 200. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let y(n) = -2714637*n**2 - 92. Calculate h(y(s)).\nAnswer: -5429274*s**2 - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36899 + -36853. Calculate the lowest common multiple of z and 1081.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3 + -38)*-3. Find the common denominator of 91\/6 and (-66)\/a - 1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 294*c**2 + 27*c - 128. List the prime factors of s(4).\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2. Let h(b) = -23 - 68*b**2 - 13 + 36. Calculate h(w(u)).\nAnswer: -3332*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284597294.\nAnswer: 2, 7, 131, 1245691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 + q**4\/12 + 25*q**3\/6 + 192*q**2 - 3. What is f(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1703, 1649, 1591, 1529, 1463, 1393?\n\"Answer: -2*c**2 - 48*c + 1753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -7 (b) -3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-155)\/(-2139))\/(35\/84).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 30668?\nAnswer: 30668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6606699*j*y**2 + j*y - 879244*j - y wrt y?\nAnswer: 13213398*j*y + j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21b27 (base 15) to base 2.\nAnswer: 11010001010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*v = -627*v - 38. Suppose -5*i = 3*y - 25 - v, 84 = 3*y - 2*i. What is the lowest common multiple of y and 7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:27 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 + 772*n + 1880976 = 0.\nAnswer: -596, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 293 * 22001\nAnswer: 6446293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (760\/105)\/(-38)*(-84)\/120?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.12696715062.\nAnswer: -0.07303284938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 6 = -d. Suppose -540 = -4*c + 4*u, -3*u = d*c - 2*u - 389. Let i = c + -56. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 5*m - 87, 4*m + 3*b - 62 = 0. Suppose 1048 - 15719 = -m*z. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*p + 2083*p = 826*p - 1991*p - 96355 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -625, 1\/4, 9?\nAnswer: -625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 78. Solve 5*i - 5*a = 0, d*i + 5*a = 1 + 49 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 21723*f**4 - 2879769*f**3 - 37441995*f**2 - 34540506*f = 0. Calculate f.\nAnswer: -7371, -11, -1, 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 2}. What is prob of sequence ggkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 993 - 3959 = 2*h, -2*h = 2*v - 1486. What are the prime factors of v?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819954060?\nAnswer: 2, 3, 5, 347, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1575) + -2)**2*-4.\nAnswer: -240*sqrt(7) + 6316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5235 by 3.\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/40 - c**5\/12 + c**4\/12 + c**3 + 42*c**2. Calculate the remainder when h(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**2 - 2 + 5 + 0. Let u(b) = 0*b + 2*b + 0*b - b. Determine q(u(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -647816017*c**3*z**3 + 3*c**3*z + 2*c**2*z**2 + 15*c**2*z + 6*c*z**2 + 42*c + 2*z wrt z?\nAnswer: -3886896102*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-48)\/153))\/(((-2)\/(-10))\/((-2240)\/2800)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1067365ug?\nAnswer: 0.0000001067365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*j + 48 = 0, -8 - 15 = -4*z - j. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -8) + -1 + (-52 - -29).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/32754, 5, -3\/5, -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1300 by 5.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6503 + -6459. What is the lowest common multiple of k and 946?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -227118309705\nAnswer: -227118309705.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/23 or -935?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1204)\/(-10) + (-6)\/15. Let a = 30 - 15. Calculate the highest common divisor of a and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/13880 and -73\/17350?\nAnswer: 69400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 19 - (15 - (7 - 0) - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 100 (c) -1 (d) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 146.69 and -6?\nAnswer: 152.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r - 148*r = -80*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 55*j + 1. Let g(z) = -2*z**2 - 112*z + 2. What is -3*g(b) + 5*s(b)?\nAnswer: b**2 + 61*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(117) - (sqrt(117) - (0 + sqrt(117)) - sqrt(117))) - (sqrt(117) + 1 + 5)) + 5 + -4*2*(-1 + sqrt(637)*-1))**2.\nAnswer: 826*sqrt(13) + 45302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21 + ((-1948)\/(-56) - 19\/(-38))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 28 = 0. Suppose -25 + 137 = -l*w. Let g = 18 + w. Solve 5*j + n = 0, -4*j - 1 = g*n + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221902 or -221900?\nAnswer: -221902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 30 = -2*v. Let n be 15\/6*(-12)\/v. Solve -3*d + 4*q = -n*d - 2, -5*d = -2*q - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 14)\/75 + 174\/(-25). Let s = 0.44 + -0.04. What is the nearest to o in -0.5, s, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t**2. Let g be f(4). Suppose -8 = -w + b, 31 = -g*w + 5*w - 2*b. Suppose 0 = -w*k + 2*k. Solve i + 0*p - 5*p + 19 = k, 2*p = -i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*z + 1645*z + 1568*z.\nAnswer: 2691*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3306 and 1767.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -357.609 and -22873.\nAnswer: -23230.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 2*u**2 + 4*u - 2. Let l(s) = -4*s**2 - 445*s - 545. What is the lowest common multiple of l(-110) and k(3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 14*s - 179 = 12*s. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (717\/(-9) - -63)*-2*(-27)\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 - 151012011?\nAnswer: -151012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p**(2\/25)*p))*((p*p**2*p)\/p)\/p*p\/((((p**7\/p)\/p)\/p)\/p)*p**(-2\/7)\/p assuming p is positive.\nAnswer: p**(-36\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 43*v + 20. Sort v, 2, -2, 3, -4 in ascending order.\nAnswer: -4, -2, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63705*i**2 + 25784*i wrt i?\nAnswer: 127410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -718*w**4 - 2*w - 658 wrt w?\nAnswer: -8616*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -25. Let t = 15 - r. What is the common denominator of 2\/(-4) - 99\/t and -85\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*h**5 + 465*h**4 - 1250*h**3 + 130*h**2 + 575*h + 125 = 0. Calculate h.\nAnswer: -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4727 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*h - 5*n, 6*h + 63 = 9*h - 9*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12048.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(15 - z - 38 + 22)*(0*z**3 + 2*z**4 + 0*z**3).\nAnswer: -4*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214017645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 152 (b) -2\/23 (c) -1\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4767.9624 to the nearest integer.\nAnswer: -4768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:44 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-8)\/(-12). Let o = q + 4. Let a = o + 0. Solve -6*x + a*x + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 + 5*g - 5 + g + 2*g - g**3. Let i be x(7). Let h = 0 + 10. What is the highest common divisor of i and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 8 = 0. Suppose 3*a = -2*r + 14, -j*a - 5*r = -0*a - 28. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + -4 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 - -2 - 0. Let l = 2.8 - 3. Let f = -2.02 + 0.02. Put l, k, f in ascending order.\nAnswer: f, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u. Let w(k) = 42*k**2. Give d(w(g)).\nAnswer: -252*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -229433355\nAnswer: 229433355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1834637, 3669275, 5503913, 7338551, 9173189?\n\"Answer: 1834638*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = -10. Let l be 1\/(-4)*20*-1. Sort -6, l, x in decreasing order.\nAnswer: l, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-682)\/(-62) + (-1)\/((-21)\/(-721)))*(-12)\/(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -831\/5 in -9, -11, -0.13, 1\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y**4 - 7*y**4 + 4*y**4)*((-6 + 3 + 2)*(0*y + 0*y - y) + y + 0*y - 3*y).\nAnswer: 19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/64827 (b) -2\/5 (c) -123\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 - g**2. Let b be z(1). Solve v = b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - -30?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16404 + 25?\nAnswer: -16346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let h be (24\/27)\/((-4)\/(-114)). Let k = h + -26. Which is the smallest value? (a) k (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/((-270)\/(-132)))\/((-1 - 2)\/2895) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 12*q**2 - 12*q + 1. Let s be y(13). Let z = 1 - -1. Calculate the highest common divisor of s and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9239 is divided by 2040?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000133813484 rounded to seven dps?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554258541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5295 is divided by 742.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 4820752.\nAnswer: 7\/1205188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -32387*a - 6477406. Calculate w(-200).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.801 - 0.199. Sort p, -2, -1\/3, -1\/7, 52.\nAnswer: p, -2, -1\/3, -1\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4309 and 15035.\nAnswer: 2089865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 52*o - 94. What are the prime factors of j(33)?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1)\/((-6)\/(-12)). Suppose -p - 3*i + r = -1, i - 9 = -4*p. Let j be p\/(-4)*4\/(-1). Solve -o - 2 = -j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a6 - -6664?\nAnswer: 4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27101509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -187119 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1393)\/(-28) + (3\/(-4))\/(-3). What is the highest common divisor of 30 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 + 288116*d**2\/9 = 0. What is d?\nAnswer: 0, 144058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 24. Suppose 0 = 4*m - 0*m - 3*n - 275, 0 = 3*m - j*n - 206. Let o = m + -43. Solve -o + 5 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 1\/2*k**4 - k**3 + 14*k**2 + 0*k + 0. Find the first derivative of u(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086556739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82088 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 9*l**2\/2 - 41*l + 2607. Let m(k) = 3*k. Give s(m(i)).\nAnswer: 27*i - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 + 2*i**3 + 3*i**3 + (13*i**2 - 2059*i + 2059*i)*(-1 + 1 + i) - 36*i + 38*i - 2 + 3*i**3 - 6*i**3 as q*i**2 + f*i**3 + y + w*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 3*s**2)*(0 + 0 - s**2) + s**4 - 3*s + 3*s + (-2*s - s - 4*s)*(0*s**3 - 4*s**3 + 6*s**3) + 12*s**4 - 7*s**4 + 25*s**4.\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.27, -24\/5, -123?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1679013 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7230958067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 50. Let i(f) = -19*f**3 - 2*f**2 + f. Let s be i(1). Let v be (-5)\/s - 2\/8. Solve v = 2*h - 3 - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 2, h: 10, x: 3}. What is prob of picking 1 m and 1 h?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 355 + 19*f**2 + 17*f**2 + 34*f**2 - 427 wrt f.\nAnswer: 140*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26171 (base 8) to base 6.\nAnswer: 124413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -576.768 + 0.768. Let r = w - -605.9. Round r to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1 - (3 - -1). Let z = -2 - s. Let b = z + 3. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(-1722)*-573 - (2 - -12)*-1?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300574, 601765, 902956, 1204147, 1505338?\nAnswer: 1806529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.106 (b) 4\/67 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35 and -104?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 2, c: 5}. Give prob of picking 2 t and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1100?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -1240243?\nAnswer: 1240310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*2 - sqrt(704)) + 1 + sqrt(176) + (sqrt(176) - (sqrt(176) + 1)) + -2)**2 + 3.\nAnswer: -48*sqrt(11) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 787102343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/49, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-80)\/(-50)*5\/2. What is the tens digit of ((-5)\/(-2))\/(v\/44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.45 (b) -2\/9 (c) -0.3 (d) 0.4 (e) -838\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.85 (b) 2\/9 (c) -109 (d) 5 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*d - 1403 = -2*g - 389*d, -3*g - 2*d - 4 - 136 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 203 = 209. What is the tens digit of (-10)\/20*(-54)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115410 - -155550?\nAnswer: 315400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 3*h**2 + 3*h. Let k(f) = 3*f**3 - 2*f**2 - 2*f - 1. Let o(s) = -4*k(s) - 3*v(s). Calculate the least common multiple of 18 and o(-2).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*q + 58*q - 61*q)*(19 - 26*q - 12 - 13*q - 7).\nAnswer: 4017*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 - 4*n + 1. Let a be j(-3). Suppose 1260 = -11*u - 3*u. Let o be (10\/u)\/(-2 - -3). What is the smallest value in 5, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 10*y + 10. What is h(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 65. Is 34 a factor of 4\/a - (-338)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -30. What is the remainder when 16 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267 - 542 - c + 275.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 21. Let p(v) = v**2 + 10*v + 31. Let s be p(-6). What is the greatest common factor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1423 - -14?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3 + 1. Suppose -w + 3*m = -6*w + 23, 3*w - 5*m - 7 = 0. Let k be (-2)\/h + w - 3. Which is the second smallest value? (a) -3\/5 (b) 2 (c) 4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27440 and 340?\nAnswer: 466480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 658614 or -1?\nAnswer: 658614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/24 - 4*u**3\/3 + 3*u**2\/2 + 2*u. Let s(j) be the first derivative of p(j). Calculate s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*a + 1655 = 4046 + 2471. Is -167 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3560167.\nAnswer: 13, 173, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/290152 and 85\/6963648?\nAnswer: 6963648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.4+0.42847\nAnswer: 2.82847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y + 28*y + 1 + 2*y**3 + 3*y**4 - 7*y + (-538 - 32*y**2 + 538)*(5*y**2 - 2*y**2 - 4*y**2).\nAnswer: 35*y**4 + 2*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*v + 2 = 18, 0 = 5*x - 5*v - 15. Let s = -7 + 6. Let u = x - s. Solve -14 = u*n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24677 and -24641 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j + 9. Let d(z) = z**2 - 5*z + 2. Let c be d(5). Let n(w) = 778 - 3*w + 0*w - 780. Give c*f(r) + 9*n(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 3. Let f be b(3). Let n be 1\/3*f\/60. Suppose -5*d - 3*x = 9, -x - 3 = 4*d - 0. Are d and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:42 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**2 + 2*u + 1. Let p = -10 - -10. Suppose -g = -p + 1. What is the units digit of c(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3127 + 5096. Suppose -7 + g = -2*o. Let b = o - -1751. Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*2\/4*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -15e28?\nAnswer: -15e35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 579660*r + 35941803\/2.\nAnswer: -3*(r - 386471)*(r + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 15 - (1 - -4 - 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 510. Let l be x(0). Suppose -l = -4*p - 458. What is the remainder when 102 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/118980 and -109\/40.\nAnswer: 237960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210413 * -63.2.\nAnswer: 13298101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -7*h**4\/24 + h**3\/6 - 8*h**2. What are the prime factors of c(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 23200000 = 11*a. Round a to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562107 divided by 14413?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3691655*i**2*z - 139*i**2 + 207*i - 2 wrt z?\nAnswer: 3691655*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*a + 9*k - 57 = 6*k, -4*k + 137 = -15*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*c - 39*c + c**2 - 12*c**3 - 44*c.\nAnswer: -12*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4450 + 4464. Solve n + g = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/20 - 81*a**2. Let k(l) be the third derivative of 0 + 0*l + 1\/6*l**4 - 2*l**2 + 0*l**3. Calculate t(k(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/5))**(-2\/39)\/((l**4\/l)\/l**(-2))*((l**(-1\/2)\/l*l)**(-8\/9))**(-2\/113) assuming l is positive.\nAnswer: l**(-335791\/66105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2874 or 0?\nAnswer: -1\/2874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 - (4 + -54 + -12). Solve -96 = -10*c - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**2\/2 - 10*m - 14. Suppose 4*f - 2 = 2. Let c = f + 5. What is t(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m**5 - 1\/12*m**4 + 0*m**6 + 0 + 3*m**2 + 1\/56*m**8 + 0*m**7 + 0*m + 0*m**3. Find the second derivative of f(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 212*d**2 - 4*d - 212.\nAnswer: 4*(d - 1)*(d + 1)*(d + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:09 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -1\/6 (c) 492\/11 (d) 1 (e) 41 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 582383.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -494280000 to the nearest 1000000.\nAnswer: -494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735135492 to the nearest integer?\nAnswer: 27113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b + 20. Determine m(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.3422 - -90.16. Round z to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 160\/55) + ((-10516128)\/(-88))\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vtmvvmvvvte.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w. Let h(u) = 11*u + 10*u**2 + 9*u**2 - 29*u - 5*u**2. Let g(j) = -h(j) - 6*r(j). What is the second derivative of g(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 10.96 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -78*i**2 + 6*i. Let x be k(-2). Let b = 326 + x. Let m(d) = -d**2 - d. Let q(s) = 4*s**2 + 6*s. Give b*q(w) + 10*m(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 43 = -7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2797*d + 37953*d - 2277*d + 19423*d.\nAnswer: 57896*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i - 6*i**3 + 6*i**3 - i**3)*(3*i**2 - 4*i**2 + 4*i**2) + (-3*i**4 + 6*i**4 - i**4)*(-24*i - 13*i + i).\nAnswer: -75*i**5 + 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1076 by 1.\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-7 - (-4 + (-5 + -4 - 63)))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:47 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/6 + 1*-311. Let c be ((-6)\/4)\/(33\/q). Let o(t) = -c*t**2 + 37*t**2 - 22*t**2. Let k(a) = 3*a**2. What is o(k(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-10) + 3 + (-119)\/35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 - 412. Suppose -2*u = 4*l + 28, b*l + 21 = -30*u + 33*u. Let t(n) = n**2 + 9*n. Calculate t(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/3)\/(1 - (-25)\/(-24)). Let d = b - -180. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a - 16. Suppose -1702 + 1698 = -2*b. Solve i = -b*m + 8, 0 = -4*m - 5*i + 6 + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 15*j + r + 110 = 0, 78 = 3*j - 3*r. Suppose -9*v + j = 1. Solve 8 = t + f, 0*f + 34 = 5*t + v*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*z**3 + 709*z**3 - 7*z**2 + 7*z**2 - 379*z.\nAnswer: -2*z**3 - 379*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1963992 and 33288?\nAnswer: 1963992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 7534*l - 1004121. Determine f(131).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9 and -55\/3654.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14920 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1425655200 to the nearest one hundred thousand.\nAnswer: 1425700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + 11*k**3 + 12*k**3 + k**4 + k - 25*k**3 to the form v*k**2 + i*k**4 + l + t*k + o*k**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 20 = 8*p. Suppose -2*j + 6*j - n - 296 = 0, 3*j - p*n = 205. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 118 = 2*f, 3*f = p + 4*p - 576. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15333\/(-51110))\/(((-1)\/((-4)\/3))\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 727*s - 23 - 723*s + 68. Let q be g(-9). Solve -8*k + q = -11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/20)\/((-28)\/20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169595951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85998179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8748570599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21711774 - 5?\nAnswer: -21711779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744123047 to the power of 1\/2, to the nearest integer?\nAnswer: 52384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:28 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9695.41 and 0.029.\nAnswer: 9695.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and 42\/47717.\nAnswer: 381736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1170 and -59\/15?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -120, -177, -234, -291, -348?\n\"Answer: -57*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 890157.7ms?\nAnswer: 890157700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 54, 98, 142, 186?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 51344*h**3 - 51353*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 1075290584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52979819 to the power of 1\/2, to the nearest integer?\nAnswer: 7279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 3 (b) -10 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -8. Suppose 4*z = -2*r - 6 - 24, 0 = -4*z - 5*r - 33. Let n be (3 + z - -2)\/c. Is n equal to -9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9780 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224429, 224691, 224953, 225215, 225477?\nAnswer: 225739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7482369 and -715.6.\nAnswer: -7483084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/60 - 7*d**4\/24 + 9*d**2. What is the second derivative of i(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350217769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 14. Suppose 0*x = -t*x - 16. Let z(l) = -6*l**2 - 2*l - 14. Let v(c) = 20 + 24 + 2*c**2 + c - 39. Determine x*v(m) - 3*z(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 58 + 10 + 70*z**2 - 33.\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 92?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33585, 33654, 33841, 34206, 34809, 35710, 36969?\n\"Answer: 10*i**3 - i**2 + 2*i + 33574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 117908 times 0.74\nAnswer: 87251.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2012*w**4 - 437*w**3 - 919463*w**2 wrt w?\nAnswer: 48288*w - 2622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 142 = 5*i, -i - 248*u + 250*u - 38 = 0. Which is the second biggest value? (a) 8 (b) i (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251118\/945 + -147 - (3\/(-9) + 2\/30).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-35 - -40))\/(2*(-3 - -4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302 - 3674 = 127*z + 205*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etnm when four letters picked without replacement from {m: 3, t: 2, n: 13, e: 2}.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 7*f**2 - 4*f - 1. Let o be (-390)\/(-75) + (-3)\/15. What is c(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-15))**5 assuming b is positive.\nAnswer: b**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10205 (base 7) to base 16.\nAnswer: -9c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -6\/115, -1?\nAnswer: -6\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3351 is divided by 181?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/17996 and -133\/10103118.\nAnswer: 222268596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:13 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -6\/5 (c) 0 (d) -2\/3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940761 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*f - 805084 + 5435004 = 0. List the prime factors of f.\nAnswer: 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = r + 28, 0*r = 5*y + 4*r - 83. Let o be 3807\/45 + 6\/y. Let k be (-2)\/17 + (2475\/o - -5). Do k and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*b + 4*u + 792, u - 1980 = -5*b. Suppose l - b = -2*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1799*r**3 - 2*r + 2*r + 3927*r**3.\nAnswer: 5726*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 10*r - 50 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - -1)\/(-1))\/(-1). Suppose a*q - 2 = 22. Let p(h) = -6*h - 9*h**2 + q*h**2 + 0*h. Let c(n) = -n**2 - 3*n. What is 5*c(x) - 3*p(x)?\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 40090 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 + 5*j - 5. Let a(t) = 7*t**2 - 6*t + 6. Give -5*a(m) - 6*u(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/2*(-28)\/2. Let u = -57 - -70. Calculate the greatest common factor of u and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/30 + j**4\/12 - j**3\/6 - j**2. Let u(p) = p**3 + 11*p**2 - 11*p + 3. Let f be u(-12). Is x(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 8, -3*x + 37 = k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) 1094372 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1 + 1281*i + 1 - 1280*i - 2 + 3. Let d(h) = -7*h - 4. Calculate -d(q) - 5*t(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 104437*a. Let n(u) = 2*u. What is n(t(b))?\nAnswer: 208874*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrnmnrkknkkm. What is prob of sequence rk?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t + 3*w + 71, 4*w - 92 = 5*t. Let j = -11 - t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksbkbssbbkbbbkb. Give prob of picking 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-154)*(2\/(-13) - (-696)\/(-377)). What is the closest to -0.2 in 5\/4, q, 0.1, 53?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11*w**3 - 5*w**2 - 10*w + 7. Let f(p) be the first derivative of -4\/3*p**3 + 6*p - 9\/2*p**2 - 164 + 5\/2*p**4. Calculate -7*f(v) + 6*t(v).\nAnswer: -4*v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 3. Let g(i) = -6*i + 5. Let d(l) = -4*g(l) + 5*v(l). Let n = -1 - 4. Let x(k) = -1 + 0 + 6 - 2 + 3*k. Give n*x(h) - 3*d(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -5095.88\nAnswer: -1528.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4474\nAnswer: 1789.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 22 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 103561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 3*u - 9 = -18*o, 5*o + 2*u = 0. Which is greater: o or -52\/35?\nAnswer: -52\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 20*t**2 + 17*t + 47. Let f be (19\/(-4))\/((-585)\/36 - -16). Calculate r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 104?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*y + 28, 5*d - 2*y = 124 + 108. What is the highest common factor of d and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 319432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1985 at least -1988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 480, -121, 2\/11, 0.26?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 15.60646, 1\/6?\nAnswer: 15.60646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144000 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-5700)\/2109))\/(9\/36)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65693219?\nAnswer: 17, 3864307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16879718 is divided by 676?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/3, 0.3, 2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 23\/24*s**4 + 21\/20*s**5 + 0 + 1\/3*s**3 - 9*s**2 + 0*s. Find the second derivative of z(a) wrt a.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = a + 8, -5*a = 3*t + 21. Let x(f) = f**2 + 7*f + 1. Suppose -5*q - 17 = 13. Let p be x(q). Put 3, a, p in descending order.\nAnswer: 3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**3 - v**2 - 2*v + 2. Let d = 259 + -258. Give h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 4 = h - 9*v, 3*h - 5*v + 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.31 - 0.35. Round s to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 352535192*v**2 - 7767566349904804*v.\nAnswer: -4*v*(v - 44066899)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7372669, -7372079, -7371501, -7370941, -7370405, -7369899, -7369429?\nAnswer: -7369001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 6. Let q be p(5). Suppose k + r - q = -0*k, 5*k = -r + 1. Let d = 0.3 - 0.2. Which is the nearest to -1\/4? (a) k (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7*u - 141. Let j = -47 - u. Suppose j = 3*h - 9. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 - 7*a - 58. Let v be d(-5). List the prime factors of 363 - (0 + 12)\/v.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (65 + -34))\/((-18)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 86 = -6*l. Let q = l - 18. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(48\/(-30))*(-20)\/(-75).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6276363001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -4847545?\nAnswer: -4847543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.92 - -1.028. Let l = k + -0.278. What is the second smallest value in l, 1\/5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142695849?\nAnswer: 3, 47565283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*(-2*l + 4*l - 4*l) + (6 - 2 + 5)*(5*l + 2*l - 3*l - 3*l + 2*l + 3*l + (l + 0*l + 2*l)*(3 + 1 - 3)).\nAnswer: 85*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2229 - -2234. Solve -5*z = 4*b + 1, -2*b - 25 = -k*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 439 - 435. What is the third derivative of -46*r**4 - n*r**2 - 102*r**4 - 78*r**4 wrt r?\nAnswer: -5424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/25 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42841181813\/171370440 - 5\/8568522. Let b be (-8)\/132 - (-166412)\/(-660). Let z = b - y. What is the common denominator of -29\/6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 346*x**2 + 6*x - 3. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/525 or 1?\nAnswer: -38\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10315987082 and -0.36.\nAnswer: 10315987081.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**2*p**3 + 20*o**2*p + 6*o*p**3 - 18*o + 3*p**3 wrt p.\nAnswer: 18*o**2*p + 36*o*p + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 664271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -118, -939, -3166, -7501, -14646, -25303, -40174?\n\"Answer: -117*j**3 - j**2 + j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292758.\nAnswer: 2, 3, 59, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32177 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1837*r**2 + 968*r**2 + 977*r**2.\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Let s be i*3\/6*1. Let v = 3 + -2. Put -1, v, s in descending order.\nAnswer: v, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695293 is divided by 963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 471, 676, 857, 1014?\n\"Answer: -12*o**2 + 241*o + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 490, 1317, 2524, 4105, 6054?\nAnswer: 8365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6822\/8 - 6\/(-24). Suppose b + 172 = r, -6*b = 5*r - 4*b - o. What is the highest common factor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1992)\/64 - (-1)\/8. Let p = -29 - x. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 10 = -24*u. Let g(x) = -6*x**3 + 4*x**2 + 8*x. Let z(a) = -7*a**3 + 5*a**2 + 9*a. Give u*z(q) + 6*g(q).\nAnswer: -q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62689, 62720, 62809, 62986, 63281, 63724, 64345, 65174?\n\"Answer: 5*y**3 - y**2 - y + 62686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14569 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 823874 - -5829310.\nAnswer: 6653184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 12\/(-3) + 23. Suppose -u*b = -24*b + 18. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c5 - -12ed?\nAnswer: 18c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 16*f**2 + 7*f - 37. What is the remainder when 324 is divided by u(-6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -23.476412.\nAnswer: 4.6952824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52456*w**2 + 285581*w wrt w?\nAnswer: -104912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25941\/43832 or 2?\nAnswer: 25941\/43832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Suppose -u*h + 15 = -h. Let y = h - -7. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 28 = 4*h + x, 2*x - 14 = -h. Let y(i) = 13*i - 1. Let b be y(h). Let k = b - 44. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6138 and 299057?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-6)*5\/(-1). Suppose g - 5 = z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 385*p**3 + 191467530*p**2 - 54705040*p = 0.\nAnswer: -5470504\/11, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9892252 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.04336042.\nAnswer: -0.04336042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*y - 45 = -3*y - 86, -4*y = -2*l + 18 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-3)\/6519)\/1). Let t = s - 2185. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4915 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2676*o**2 - 126*o - 35. What is the ten thousands digit of k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23748463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:36 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13713.25107 + -13662.95. Let x = -50.3 + m. What is x rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 280*j**2 - 374*j - 458. Determine m(-92).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11171 + 11174. Sort 1, p, -3\/2 in increasing order.\nAnswer: -3\/2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 7:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let c(x) = -93*x - 64. Calculate z(c(q)).\nAnswer: -17298*q**2 - 23808*q - 8192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 = -4*a, -4*v = 3*a - 2*a + 10. Calculate the lowest common multiple of (-6)\/(-4)*((-64)\/(-12))\/4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*c - 6, -3*h - 2*c - 21 = 2*h + 25 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 12\/(-2 - -5). Is u + 0 + 95 - 3 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2561b7 (base 16) to base 10\nAnswer: 2449847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 388459316 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a8 (base 12) in base 15?\nAnswer: -14b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z - 102 = 75*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 44. Let k be p(13). Let b(s) = -s**2 - 2*s + 3. Calculate b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 120571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 31*b**2 + 31*b + 42. Let q be 2\/10 - (-6201)\/195. Let y be m(q). Let c(v) = v**3 - 9*v**2 - 10*v - 6. What is c(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 87899128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1023 = 2*k - 0*k, 4*z = 4*k + 1368. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 - 7*j - 6. Let a(o) = 13*o**3 - 3*o**2 + 3*o - 1. Let b be a(1). Suppose b*u - 40 = -100. Calculate g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3) + 0)*234\/(-507)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 4}. Give prob of sequence nn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/((0 - 6) + 7). Let g(q) = q**3 + q - 1. Let p(w) = 4*w**3 + 3*w**2 + 10*w - 5. Let y(r) = v*p(r) + 5*g(r). Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 6*t. Suppose 0*p - 5*i - 20 = -5*p, -4*p - 2*i + 28 = 0. Calculate k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3920121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 48063?\nAnswer: 10093.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 5, t: 3, h: 4, w: 2, r: 5}. What is prob of sequence tw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95020 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103510*g**3 + 73*g**2 + 4*g - 38.\nAnswer: -621060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6 + 9\/(-108)*(-3434)\/17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4 + 10 - 33 + s + 18 + 2. Let o(p) = -2*p**2 + p - 28. What is -o(q) + y(q)?\nAnswer: q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3618, 4012, 4334, 4548, 4618, 4508?\n\"Answer: -6*r**3 + 436*r + 3188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 344080913 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = k + 2*k. Let v = 32 + k. Calculate the smallest common multiple of v and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 469005?\nAnswer: -468988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 13 = -19*o + 46*o - k, -3*o = -8*k - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 775872 - 499872. What is f rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014622 is divided by 744.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.30006 - 0.3. Round k to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p + 5. Let i = 12278 + -12274. Determine u(i).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - 3*c**2 + c - 1. Let x be j(2). Let m = -8 + x. Suppose 0*f - f = m*z - 16, -2*f + 23 = z. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 11 = -16747*m + 16746*m, -4*m + 1 = -5*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -127*b - 16002. What is p(-130)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 488 + -325. Let k = 107 - 40. Suppose w = 5*n + 4*o, n + o = -n + k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3.98\nAnswer: -3.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 1 = -n. What is the remainder when n is divided by (-9 + 713)\/(-16) + 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -6. Let k be (8\/j)\/(8\/20). What is the third derivative of -3*b**5 + b**5 + 3*b**5 + k*b**2 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 22*s**2 - 1. Let v be r(-1). Suppose -2*z = 2*l - 50, -4*l + 3*l = 5*z - 41. What is the greatest common divisor of l and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 807 - 705. Calculate the least common multiple of f and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.33 - 3.33. What is the closest to -190 in 5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 39692?\nAnswer: -39692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 10*q**4 + 14*q**3 - 22*q**2 - 14*q + 12 = 0.\nAnswer: -2, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-108))\/(448\/(-6)). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49067676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*g**3 + g - 2*g**4 - 3*g**2 - 2 + 37*g**3 - 78*g**3 + 2*g**2 as s*g + d*g**4 + r + i*g**3 + c*g**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let z(m) = -629*m**2 - 37. Let b(u) = -35*u**2 - 2. Let r(l) = -37*b(l) + 2*z(l). Determine r(x(w)).\nAnswer: 148*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l + 13 = 0. Let u(f) = 9*f + 17. Let a(o) = -4*o - 8. What is l*a(k) - 6*u(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9381 - 137816 = -498*z - 1013*z for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -18567\nAnswer: -1\/6189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, 1\/17, 0.4, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/2*(-84)\/(-35). Let m = -951 + 1014. Calculate the highest common factor of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -109, -144, -179?\n\"Answer: -35*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1803270 (base 10) to base 9\nAnswer: 3347553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/16 - (-3)\/2. Suppose 3*x + 272 = s*x. Suppose x = 5*b - b. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (567840\/(-86190))\/(2\/(-34)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:17 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339666?\nAnswer: 2, 3, 56611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120324094.670000536 + 120324093. Let x = -1.67 - c. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/10 - 2*u**4\/3 + 2*u**3 + 13*u**2\/2 + 20*u. Let x be n(-5). Solve 1 = h - x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 24 + (-14 - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j + 8. Factor -2*q**2 + 0*q**3 + j*q**3 - 2*q - 45 + 47.\nAnswer: 2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 + 2*o. Let q(i) = 34*i - 1. Calculate p(q(b)).\nAnswer: -13872*b**2 + 884*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttit when four letters picked without replacement from trdirttttdt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 25, -p + 245 = -5*f. Let b be f\/18 - -5 - 3. Are b and 2\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 326 = -15*m. Suppose 4*c - 73 - m = 0. Suppose 369 = 5*s + c. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23188*-3.\nAnswer: 69564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 234\/5, 0.1, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqv. What is prob of picking 1 v and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7770.59 + -5.\nAnswer: 7765.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -1\/6.\nAnswer: -8, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -130*j + 3. Give f(1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -176531.\nAnswer: 353062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/310026 and 53\/243456.\nAnswer: 39683328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 - 2*n - 2. Let l be j(4). Let x be (-6)\/(1\/2*-1). Suppose 4*k = 5*y - x, 3 = 2*k - 1. What is the greatest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -550624*o + 371103 wrt o.\nAnswer: -550624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.6. Let s be 4 - 2\/(-4) - 6. Sort -3, s, r in decreasing order.\nAnswer: r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -3\/4 (c) -4\/5 (d) 1\/6 (e) 1\/3 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(-3)*(-6)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**1)\/b)**(-20)\/(b*b**(2\/7))**(-13\/2))\/(b*b**(-2\/37)*b*b**(-14)*b*b)**37 assuming b is positive.\nAnswer: b**(5605\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) + sqrt(162) + 0 + -3 + (sqrt(162) - (2 + sqrt(162))) + 0))**2.\nAnswer: -6480*sqrt(2) + 24228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 + 12*b - 2. Let z be t(10). Suppose l - 4*l - z = 0. Let j(u) = -u**3 - 5*u**2 - 3*u - 1. Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2520 - 21700 - 2503 - h**2 + 307 - 10047.\nAnswer: -h**2 - 31423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237443, -237459, -237473, -237485, -237495, -237503, -237509?\nAnswer: -237513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670 (base 13) to base 16.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*d + 41, 0*k = -5*k - 4*d + 28. Let b be -2 - 3*58\/6. Let w = b + 60. What is the remainder when w is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26*-1)\/((-4)\/5*80\/(-1536)*12)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 - 460. What is the hundreds digit of 20\/(-35) - 8064\/t - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92180, 184357, 276534, 368711, 460888, 553065?\n\"Answer: 92177*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 79*i - 343. Is d(-30) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 6*k + 9. Let q(i) = 5*i**3 + 2*i - 2. Let n be q(1). Suppose p = -n*p + 30. Does 2 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55\/4 of a microsecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 9*t**2 - 13*t - 115. Let s be m(-9). Solve -s*j = 4*y - 4 - 0, -5*y = 2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/84*(2 - 4\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49399279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373 + -373.5. Let c = 333 - 212. Let r = c + -851\/7. What is the second smallest value in z, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -514\/31301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 549, 3230, 10155, 23448, 45233?\n\"Answer: 354*f**3 - 2*f**2 + 209*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267912 and 1800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/21261784 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 69 = -65 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -813.1 rounded to the nearest 10?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/120 - c**5\/12 + c**3\/3 + 24*c**2. Suppose -q = 2 - 6. Let i be (-10)\/q*(3 + -1). Give j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*3637.37\nAnswer: -18186.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 + 4*o**2 - o + 4. Let h(l) = 6*l**3 + 3*l**2 - l + 3. Let d(a) = 5*h(a) - 4*r(a). Let x be d(3). Let i = x - 21. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p - 4 - 9*p + 0*p. Let d be o(-3). Let v = 3 - -1. Solve -3*w - 10 = 2*g, -d*g - 10 = v*w - 0*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 - 3*b + 5. Let l be k(3). Let d = l + -71. Solve 0 = -i + 4*i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1219, -11644, -29021, -53350, -84631, -122864, -168049?\nAnswer: -220186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:45 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 18. Suppose f - 6990 = -139*f + 1270. What is the remainder when 0 + i\/1 - -234 is divided by f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666809632 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -36*y - 318. Let w(a) = -12*a - 106. Let o(z) = 5*n(z) - 16*w(z). Let b be o(-9). Put 4, -7, b, 0 in decreasing order.\nAnswer: 4, 0, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**2 + 2\/3*g**3 + 0 - 9*g. Let y(k) = -5*k. Calculate x(y(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -833, -3319, -7411, -13067, -20245, -28903, -38999, -50491?\nAnswer: -63337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35029.62ml to litres.\nAnswer: 35.02962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + a = 6*n + 1591, -5*n - 4*a = -3970. What are the prime factors of n?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p)**(1\/41)\/((p**(6\/23)*p*p*p)\/(p*p\/(p*p**(4\/5)\/p*p*p)*p)) assuming p is positive.\nAnswer: p**(-13627\/4715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/4)\/((-2)\/4). Solve 2*x + j*i - 5 = x, 4*i = 3*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -166*t**3 + 127489*t**2 - 760*t - 6167. Calculate q(768).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -26. Let d(g) = -g**3 + 6*g**2 - 2*g + 8. Let h be d(a). Let q = 3.2 + -3. What is the closest to q in -4\/9, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299538879.\nAnswer: 3, 99846293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(7\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpvjptw. What is prob of sequence vp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z**3 - 2*z**3 + 0*z + 0*z + (z + 4*z - 3*z)*(z**2 + z**2 - 3*z**2))*(-2 - 4 + 5)*(2 - 2 - 3).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4))\/(-12)*15456\/112.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*b + 85*b + 88*b - 16156 + 89*b.\nAnswer: 2*b - 16156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.23. Which is the nearest to v? (a) -3 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9861, -19711, -29555, -39387, -49201, -58991, -68751, -78475?\nAnswer: -88157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 k, and 1 c when four letters picked without replacement from {c: 12, p: 3, k: 2}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 2, -17, -4041, -1, 5 in increasing order.\nAnswer: -4041, -129, -17, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.160488089 to 5 decimal places.\nAnswer: -0.16049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + z + 17, -z - 34 = j - 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 11 = 2*s - 4*n, -3*s = 5*n + 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320888648.\nAnswer: 2, 3, 55037027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14842.\nAnswer: 2, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - l. Let s be a(-2). Let y = s - -14. Suppose -2*i - 4*m = -52, -y*i - 4*m = i - 118. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 16*h**2 + 12*h - 46. Let l be w(-15). Let u(s) = -372*s**3 + 2*s**2 + 2*s + 1. What are the prime factors of u(l)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 8*k + 5*i - 10, -2*k - 4*i + 30 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.1 + -19.1. Which is the closest to s? (a) 0.3 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 - -4. What is the biggest value in p, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 94*q + 3. Let a be s(3). Suppose 0 = -5*r + 25, -3*r + r + a = 5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58888 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from eqqeqeve?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/6)*x*x**(-7)*x)\/((x\/x**(-2))\/x*x)**(-3\/13) assuming x is positive.\nAnswer: x**(-401\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-163 - -188) + (2 - -11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -119 - 173?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 divided by 3299?\nAnswer: 906\/3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.439825 + 141.321375. Let d = f + -141.73120005. Let y = d + -0.03. What is y rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4075, -3, 37, 32, 10 in decreasing order.\nAnswer: 4075, 37, 32, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = 2. Let j = -0.34 + -0.01. Let b = -0.15 + j. What is the third smallest value in b, 2\/13, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p - 269*p - 164*p + 12420 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/(-44))\/(3\/(-8)). Sort 1\/34, u, 10 in descending order.\nAnswer: 10, 1\/34, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + w - 2*w + 21*w + 22*w - 50*w + (-6 + 4 - 5)*(3*w + 4*w - 3*w) to the form p*w + c and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 5 = -3*q + 2*d, q + 3*d + 5 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*a + 58 + 12 = 0, r = -4*a + 82. What is the remainder when r is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*v + 24. Suppose -c + 5*k - v*k = -108, 3*c = 2*k + 320. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-56) - ((-44)\/7 + 6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*sqrt(153) + -3 + (sqrt(153) - sqrt(153)*6)**2.\nAnswer: 12*sqrt(17) + 3817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2 - sqrt(228))*5)\/(2*sqrt(588)).\nAnswer: -15*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284 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: In base 5, what is -224340102 + 3?\nAnswer: -224340044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2676 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113788 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + p**2 - 12*p**2 - 145*p**4 + 2 + 148*p**4 to the form c*p**3 + f*p + k*p**2 + w + j*p**4 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1500 and 8.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-2)\/(((-28)\/(-20))\/7))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**2\/2 - 8*w + 17. Let v be t(-13). Suppose -3*x + 5512 = v*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*v = -110 - 213 - 90 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118053239.\nAnswer: 31, 61, 163, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -814957 divided by 26\nAnswer: -62689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3783258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 7*m**2 - 6*m - 1. Calculate p(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 90.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 193\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13603.72506 to the nearest 10.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 97*b**3\/6 - 29*b**2\/2 + 10*b. Let o be v(5). Suppose o = 5*i + q, -5 = i - 5*q - 117. Is i a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 12. Suppose -f*u + 7 - 2 = g, -4*g = 5*u - 9. Solve d - 2 = u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725460 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 2*a**2 + a - 4. Let c be x(3). Calculate the highest common factor of 315 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 820.6 and -198.44474.\nAnswer: 622.15526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m = 33*m + 215. Calculate the highest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2*y - 4. Calculate the remainder when (-43)\/(-3)*(-14 - -17) is divided by 3\/3 - (y + -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-168)\/17 + 12 + 0\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24068352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/42*(-5)\/(-50)*-5. What is the nearest to f in 2, 0.5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s - 17 + 17 + (-1 - 3 + 1)*(-3*s - 2 + 2) + (-3*s + s + 1 - 3*s)*(-1 - 3 + 2).\nAnswer: 25*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 997207091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9426 + 16557*j**2 + 9426 to the form y + n*j + w*j**2 and give w.\nAnswer: 16557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168878492.\nAnswer: 2, 73, 211, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16116 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 152849340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4560, 4519, 4416, 4221, 3904, 3435, 2784, 1921?\n\"Answer: -5*z**3 - z**2 - 3*z + 4569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 11*u + 10. Let r be s(-10). Sort 4, 2, r in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3162*g - 3162*g + 1917 + 6323*g)*(2*g**2 + 4*g**2 - 2*g**2).\nAnswer: -4*g**3 + 7668*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51\/(-12))\/((-1)\/8). What is the highest common divisor of m and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**2 + 13054*b - 31272 = 0. What is b?\nAnswer: 12\/5, 1303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from xxwxxxxwxxwxxxx?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -4 in descending order.\nAnswer: 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.25? (a) 182 (b) -268\/7 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(189\/72) - 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12900 and 3145839150?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -76995*r. Let y(g) = 50*g**2. Calculate b(y(k)).\nAnswer: -3849750*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 163 + 55?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12522*y**3 - 2247*y + 240744459 wrt y?\nAnswer: -37566*y**2 - 2247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4019963, -8039851, -12059739, -16079627, -20099515?\n\"Answer: -4019888*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 708*t**4 + 3*t**2*u - 4*t*u - 507697*u wrt t.\nAnswer: 2832*t**3 + 6*t*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/35)\/((-108)\/(-30))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104711, -209516, -314413, -419402, -524483, -629656, -734921?\n\"Answer: -46*t**2 - 104667*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 35*o**2\/2 - 115. Let r(w) = -w. Determine r(g(c)).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k**2 - k)*(-28 + 28 - 13*k).\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -848*r + 539328 + 1\/3*r**2 = 0?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 156. What is h(54)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344895.138 seconds to weeks.\nAnswer: 0.570263125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (1*sqrt(136)*5 + ((sqrt(136) + sqrt(136)*-1)*6 - sqrt(136)))\/((2*sqrt(3200))\/sqrt(4))).\nAnswer: 4*sqrt(17)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 19*t**2 - 19*t**2 + 6*t**4)*(19 + 135 + 261).\nAnswer: 2490*t**4 - 415*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34840*w + 17669*w + 17170*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 25. Let q be a(6). Let i(y) = y**2 + 6*y + 61. Does 26 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -2215, -3309, -4403?\nAnswer: -5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dapa when four letters picked without replacement from {a: 3, p: 16, d: 1}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 40*a**2 + 301*a + 1073. Determine f(28).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-56) + 0)\/(36\/768*-168).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -480, -485, -492, -501?\n\"Answer: -d**2 - 2*d - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n - 20. Is 14 a factor of (0 + (-38)\/n)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301002807 and 703.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18475 or 13906?\nAnswer: 13906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -368*l**3*x**3 + 110*l**3*x**2 - 1861*l**3*x - l**2*x + 25*x wrt x.\nAnswer: -2208*l**3*x + 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -1, -13 in descending order.\nAnswer: 95, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14418)\/(-890)*(-780)\/(-108).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*-1*sqrt(352))\/((sqrt(352)\/sqrt(8))\/sqrt(4)))**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.65 + 1.55. Let l = 42.11 - 29.01. Let j = k + l. Which is the closest to 1\/4? (a) 20 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - -16.5. Suppose 15 = -5*z, -r + 2*z = -3*r + 2. Let d be (-75)\/(-558) - 159\/(-4929). Sort d, r, y in descending order.\nAnswer: y, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = 4*s - 6, 0 = -4*s + 2*t - 8. Let m(j) = 10*j**2 + 13*j**2 + j - 20*j**2. Determine m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 15*f**2 + 13*f + 20. Give v(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -543*l**2 - 122018 + 541*l**2 - 913*l - 75*l = 0.\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 132?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 41 = -36*r. Suppose x = -3, r*m - 804 = -2*x - 216. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 at most as big as 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83741?\nAnswer: 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from {z: 6, k: 7, d: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -3886 and 7071220347.\nAnswer: 7071216461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21532423 and 482702?\nAnswer: 6523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/(13\/(-26)). Let l = 1 + -3. Let a = -1 + 0.8. What is the smallest value in v, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*l = 153*l + 5004. Let b = 417 - l. Let o(q) = q - 2. Let y be o(3). Solve -u + b = y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 4. Let f(g) = -g + 1. What is 5*f(i) - p(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*v**2 + (0 + 2*v + 0)*(v + 3*v - 6*v) - 4 + 4 + v**2 + 4*v + 68783*v**2 - 2*v - 109941*v**2 - 2*v.\nAnswer: -41163*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 112 - 124. Let m = -13 + t. Find the common denominator of m and 58\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 - 50210*n = 0. What is n?\nAnswer: 0, 25105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 136, 517, 1144, 2011, 3112, 4441?\n\"Answer: -t**3 + 129*t**2 + t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - u + 1. Let c(j) = 4*j**3 + 33*j**2 - 2*j + 2. Calculate -c(y) + 2*n(y).\nAnswer: -2*y**3 - 31*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6050) - (sqrt(6050) + 2*((sqrt(6050) - sqrt(6050)*4) + sqrt(6050)) + sqrt(6050)))*3)\/((sqrt(720)*-2)\/sqrt(32)).\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2105235 + 236?\nAnswer: 2105504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1, -14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -68. What is the greatest common factor of t and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*c, -5*r - 2*c = 3*c - 880. What is r rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 2)*(0*h**3 + 3*h**3 - 2*h**3).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:37 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32244)\/(-64128)*-4 + 2 + 0. Let z = 82607\/20040 - f. Calculate the common denominator of z and -59\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from {y: 2, o: 9, a: 1, r: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359904 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = 13. Suppose l*h + a - 134 = h, -2*a = -8. Let f = -22 + h. Solve 5*w + 4*b + 2 = 3*w, 0 = 3*w - b - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 716237 and 84367.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let j be (-1 - x)*2\/2. Suppose j*y + 30 = 3*y. Calculate the greatest common divisor of 110 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/28 - 1\/56. Which is the smallest value? (a) z (b) -1\/2 (c) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40003*r + 40004*r - r**3 + 40013*r - 120020*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 473.37747 - 473.4. Round o to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i**2 + 6. Let o(l) = 7*l**2 - 3. Suppose -15 = -4*j - 3, 0 = -4*c - 2*j + 30. Let k(h) = c*f(h) + 13*o(h). Differentiate k(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40\/13, 3, -3\/5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 equal to 34\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*l**2 + 1714*l**2 - 953*l**2.\nAnswer: -158*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2. Let r(v) = -13*v**2 + 91*v - 12. Determine 6*o(y) - r(y).\nAnswer: 13*y**2 - 91*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-4) + 249 + -235.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23494393 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19824*o**3 - 415369 with respect to o.\nAnswer: 59472*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 34. Let s be l(-11). Is ((-1)\/(-1))\/((s + 2)\/298) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469988393?\nAnswer: 7, 37, 277, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4\/5, 2\/5, 2\/21, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -2, 0.5, 6\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980575 is divided by 172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35523*a + k = -35520*a - 6, -12*k - 32 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/((-12)\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 118636783.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1543834371 rounded to 3 dps?\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:57 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4*x**3\/3 + x**2 + 3*x - 2. Let u be j(-3). Suppose -4*a = -a - u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 6. Let j be w(3). Let p(s) = -6*s + 5*s**2 + 3*s + j*s. Let u(i) = -3*i. Give u(p(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*h**3 - 52*h**3 + 27*h**4 + (-4*h**3 + 6*h**3 - 3*h**3)*(-2 + 2 + 2*h) - 2*h**2 + 2*h**2 + 2*h**4.\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n - 45. Let w be o(7). What is the nearest to 0.1 in 1, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4685 = 23*b + 4294 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h**2 + 4*h + 48. What is the least common multiple of s(-6) and 6?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 3138*n + 3138*n.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159722 > 2159722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -39022 to the nearest 100.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 40*j. Let f(z) be the second derivative of -7*z**4\/3 + 5613*z. Give f(s(b)).\nAnswer: -44800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 130*m**2 + 1550*m + 213. Calculate c(141).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u + 17*u - 2 + 19*u - 6*u**2 - 50*u. Let y be m(-2). Let r be (-6)\/y - 16\/(-56). Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29134410317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 13*l**2 + 5*l - 420. Determine y(-15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3 - 3*k. Let l(h) = 2*h. Determine l(d(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose -h - 41 = -o, f*o - 5*o - 5*h + 47 = 0. Suppose -6*p + 17*p - 1155 = 0. What is the greatest common divisor of p and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**4 - 275189*u**3 + u**2 + 7*u**4 - 2 + 275201*u**3 - 2*u to k*u**2 + s*u**4 + h + m*u**3 + a*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387623939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s**29)**38)**22 assuming s is positive.\nAnswer: s**29260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k. Suppose 15 = 5*s - k*s. Solve -i + s*i - 8 = f, 3*f - 5*i + 21 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2) - sqrt(72)) - sqrt(3)) + 1 + 1*sqrt(3).\nAnswer: -sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2609 - 1538. List the prime factors of h.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 - -126. Let t = 67 - s. Is 46 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + k)*(-11*k**4 - 37*k + 37*k).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -31, 127 in decreasing order.\nAnswer: 127, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0, -5, 5 in ascending order.\nAnswer: -5, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 less than 242?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**2 + z - 3. Let i = 75 + -70. Let g(b) = 0*b**2 + 1 - 48*b + 4*b**2 + 48*b. Determine i*g(r) + 2*l(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 7, -5 in decreasing order.\nAnswer: 7, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/48 + -1*(-1)\/(-6))*-26807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749736.3 kilometers to meters.\nAnswer: 749736300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 871.765 or 238?\nAnswer: 871.765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 2097, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1993.1 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)*-1 + -5 - sqrt(2592))**2 + (-5 + (sqrt(180) + sqrt(180)*-2 - sqrt(180))\/sqrt(10))**2)*2.\nAnswer: 1560*sqrt(2) + 20980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.98 + 1.98. What is the closest to -1 in -37, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*i*n**2 + 5*b**2*i - 411*b*n + 23*i*n**2 + 12047*i - 6 wrt n?\nAnswer: -12*b**2*i*n - 411*b + 46*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s + 56*s - 23*s - s**2 - 19*s + 13. Give g(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 15*r**2 - 14*r - 31. Let i be q(16). Let b(j) = i - 1 - 34*j - 1 - 1. What is the units digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*u + 1175 - 1175 to k + l*u and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1, 1, 3, -3, -19242 in descending order.\nAnswer: 27, 3, 1, -1, -3, -19242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from jkekkos.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 19. Let r = m - -11. Suppose h - f = 37, -r*h + h - 5*f + 135 = 0. What is the greatest common factor of 100 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 97*c - 80*c.\nAnswer: -136*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-4)\/((-24)\/(-9))). Let t = -379 - -382. Solve 10 - 10 + o*z**t + 3*z**3 - 5*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = 51650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26406469.9 rounded to the nearest ten thousand?\nAnswer: -26410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 2*i - i + (5 + 5 - 12)*(4 + i - 4) + (-2*i + 15 - 15)*(0 - 1 + 3).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 3 - 3)*(-2*r - r + 0*r + 1) in the form k + l*r and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4587922, 4587923, 4587924, 4587925?\nAnswer: 4587926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/(-10) - (-8)\/(-40). Let d be (-24)\/u + 4\/(-6). What is the derivative of -4 + 6 + d - 3*k + 1 wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61212186.\nAnswer: 2, 3, 7, 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143795 (base 10) to base 13.\nAnswer: -505b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r**3 + 334*r**3 - 104*r**3 - 112*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 571?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.34 (b) 14 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -98, 49, 338, 817, 1534, 2537, 3874?\nAnswer: 5593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/5)*o*o**(1\/3)*o*o)\/(o**(-5)*o**(-1\/2)\/o))\/(o**1\/((o**(-3\/11)*o)\/o))**(11\/2) assuming o is positive.\nAnswer: o**(103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14345 - 14344.9. Put 4, w, -3\/7, -22, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, w, -3\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.20625s in nanoseconds?\nAnswer: 79206250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*n**2 + 74*n - 101*n**2 - 41*n - 33*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.5598 to one dp.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -24*c + 11. Let z = 84 - 94. What is the tens digit of g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6936.94 + -25216.3088.\nAnswer: -32153.2488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-12) + (-2201)\/6)*-1 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2\/(-4))\/(418\/44)). Solve z + h = 3*v, -v - 3*z + 0 - 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*((sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(5)))**2*6.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - r + 3. Let n be w(0). Solve 0 = n*g + 12 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50382, -99547, -148712, -197877, -247042?\nAnswer: -296207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*m**4 + 2*m**4 - 14*m**4 + (4*m**3 - 3*m**3 - 2*m**3)*(2 + 2*m - 2) + 1 + 9*m**4 - 7*m**4 + 3*m**3 - m**3.\nAnswer: -69*m**4 + 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*1\/4*416\/78*4. Which is greater: -20 or z?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/3 + 389*n + 77816\/3 = 0. What is n?\nAnswer: -1096, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32423100?\nAnswer: 2, 3, 5, 23, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16558 + -9522. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12638 (base 11) in base 14?\nAnswer: 682a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 20*o**2 - 16*o - 224. Let s(n) = 7*n**2 - 6*n - 75. What is -4*p(c) + 11*s(c)?\nAnswer: -3*c**2 - 2*c + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.67 and -0.1.\nAnswer: 0.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/5 + -2\/5. Let y = 47693.1 - 47693. Let b be 2 - (2 + (-1)\/5). What is the nearest to 4 in y, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4474, 4488, 4506, 4528, 4554, 4584, 4618?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 56. Let t be (-1*(-3)\/n)\/((-4)\/(-40)). Let d(v) = -2*v + 72. Let w be d(31). Calculate the highest common divisor of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)*d**1)**(-3\/34)\/((d**1)**(36\/7)*(d\/(d*d**(-1)*d*d*d)*d)\/(d*d*d**(-2\/5))) assuming d is positive.\nAnswer: d**(-3271\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(2) + 1 + -1 + sqrt(2) + sqrt(18)\/(-4*sqrt(9)))*5)**2 + -5.\nAnswer: 1185\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 1. Let d be 20 + -7 - (-8)\/(-2). Suppose -d*c - 25 = -70. What is the remainder when r(3) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -2*w**3\/3 - 3*w**2\/2 + 2464*w. Determine y(-15).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 3*w)*(0 + w + 0)*(-4 + 5 + 5).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + -2. Let g = m + 13. Solve 5*r + t - g*t = 10, 2*t - 6 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31989 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*l = -9586 + 3169 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 92. Suppose g*i + 0*i - 666 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23448722 at least -23448723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.01, 44.\nAnswer: -0.01, 2\/7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3)*2 + 5. Suppose x*q - 7 = 2*h, 3*h + 1 = 3*q - 2. Let n(c) = 3*c - 10. Let b be n(11). Solve 0 = -u - 4*w - 16, -3*u - 5*w = h + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(102)*-1)\/sqrt(2) - sqrt(153)\/sqrt(3)*-5)\/(sqrt(33)\/(sqrt(396)*2)).\nAnswer: 3 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 21*q**2 + 3*q - 5. Let d(g) = -5*g**3 + 39*g**2 - 5*g + 11. Let f(n) = -4*d(n) - 7*u(n). Let p = -20 + 11. Give f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1602 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 271758, 1087333, 2446718, 4349913, 6796918, 9787733, 13322358?\n\"Answer: 271905*s**2 - 140*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -947.39 take away -2?\nAnswer: -945.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069021419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2. Let l(c) = -131*c. Give m(l(y)).\nAnswer: 51483*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 7:32 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkkq. What is prob of sequence qkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**2 - 8*q - 3. Let s be d(7). Differentiate -5*y**3 + s - 8 + y**3 with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 105 + 8*b + 113 - 323.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1*8\/(-3). Let c = 16 + u. Suppose 3 = -g + c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + y - 19*y + 18*y - y - 15*y as r + k*y and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - 52*t - 20*t)*(3*t - 5*t + 51*t)*(-2 + 2 + 2) in the form r + s*t**2 + w*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -169 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 34*i - 117*i - 3387, -2*i - 72 = 5*r - 0*r + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -194*q + 10113 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -3420?\nAnswer: -17\/3420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (sqrt(242) - sqrt(242)*-3) + (5*sqrt(242)*2)**2.\nAnswer: 44*sqrt(2) + 24194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/4*(-405)\/(-540).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 19 - 14)*(3*h**2 - 5*h**2 + 3*h**2).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1, q: 4}. What is prob of picking 1 q and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-752)\/36 + (-2)\/6. Let w = 59 + v. Let u(t) = t + 3. Let m(g) be the second derivative of g**2 + g. Determine w*u(n) + 6*m(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820901*25.\nAnswer: 20522525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0035 or -422?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1582\/140 + -16 + 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 3, x: 2, r: 2, t: 4, u: 1}. Give prob of sequence ttx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 8480.\nAnswer: 25440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*u + 75 = -0*v, 0 = -2*v + u - 45. Let b be 14\/(-7) + 0 + -10. Let p = b - v. What is the remainder when 22 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 148. Let y be l(0). Let f = -100 + y. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111, -219, -323, -423, -519, -611?\n\"Answer: 2*q**2 - 114*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 4 = -14*b. Let g(i) = -88*i**3 + 9*i**2 - 2*i - 5. Is g(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18)\/d)**(-28)*d**(-25)\/(d\/(d\/d**(2\/13))))**(-31) assuming d is positive.\nAnswer: d**(-204259\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let c(z) = 114*z + 3. Let j(o) = -c(o) + 2*m(o). Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -61. Let k be (2\/4*s)\/(130\/65). Suppose 2\/3*t**2 + k*t**4 + 4\/3*t**3 - t - 2\/3 - 1\/3*t**5 = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 + 5*l - 4. Let s(o) be the first derivative of -5*o**3\/3 + 3*o**2\/2 - 2*o + 361. Calculate 3*a(d) - 5*s(d).\nAnswer: -5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/17, 5, -0.603, 0.3183, 0.2, 1\/3?\nAnswer: -0.603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -1298, -2121, -3000, -3941, -4950, -6033, -7196?\nAnswer: -8445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s = 47*s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:23 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(49)*4)\/(sqrt(42)\/(sqrt(486) + sqrt(486) + 2*sqrt(486) + sqrt(486))))**2.\nAnswer: 907200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v - 438. Let f(t) = -4*t + 243. Let l(b) = -6*c(b) - 11*f(b). Determine l(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*z = -27, 0 = -4*c - 5*z + 7*z - 20. Let r be 3 - -23 - (c - (0 + -1)). What is the greatest common factor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 + 4*q**2 - 14*q. Let w be o(4). Solve 4*a + 4*t = 4, -w*a + 0*t + 31 = -5*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 11.81. Let j = g - 2.71. Round j to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18342499 to the nearest integer?\nAnswer: 4283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -114*h - 33. Let o(j) = 7*j + 2. Let p(z) = 33*o(z) + 2*u(z). Let d(x) = 2*x. Let g(l) = l - 9. Let a be g(4). What is a*d(r) + 3*p(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2441, 9451, 21109, 37409, 58345, 83911?\nAnswer: 114101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-40)*1 - (-15)\/60?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 10 - 4. Let n = -1270 - -5011\/4. Find the common denominator of x\/(-3) - 162\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/13694, 3, 3\/25, 4?\nAnswer: 1\/13694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127 + 410*n**2 - 45 - 318*n**2 - 777*n**2 + 42*n - 402*n**2 wrt n?\nAnswer: -2174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.352 and 24500.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/54644119 or 1?\nAnswer: -7\/54644119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 391, 740, 1197, 1768?\n\"Answer: o**3 + 45*o**2 + 105*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/18*85536\/2112.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424.311 take away -0.4?\nAnswer: 3424.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.39888t to milligrams.\nAnswer: 81398880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 16, -2*j = -15*g + 11*g + 2728. Suppose -4*m + 132 = -g. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 18. Suppose 4*d + 5*m = -2, y*m = 2*d - 0*d - 12. What is the first derivative of -6*w + 1 - d*w**2 + 6*w wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 111 + -55 - 40?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z - 5. Let d(a) = -a**2 - 9*a - 1. Let q(i) = -2*i**2 - 19*i - 1. Let s(f) = z*q(f) + 7*d(f). Determine s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 200*u**2 + 12. Let q(b) = 199*b**2 + 10. What is -5*f(w) + 6*q(w)?\nAnswer: 194*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5, -16 = -4*v + 4*p + 12. Let l(t) = -62*t. Let u be l(-2). What is the common denominator of -59\/16 and v + -2 + u\/(-88)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**25\/(x**(-10)*x*x\/((x\/x**(-2\/9))\/x)))**(-41) assuming x is positive.\nAnswer: x**(33866\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a67c8 (base 14) in base 4?\nAnswer: 1202023330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -3106, -10240, -24140, -47062, -81262, -128996, -192520?\nAnswer: -274090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172406 and 7046?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3813, 3805, 3797, 3789, 3781, 3773?\n\"Answer: -8*c + 3821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 f when four letters picked without replacement from ivvfvvvfvvvvvvfviff?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3626 and 10.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 6*r**2 - 76*r\/5 - 48\/5.\nAnswer: -2*(r + 1)*(r + 2)*(r + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469181.\nAnswer: 79, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -9*q - 8. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*4)\/16)\/(63\/(-441)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8991 and -62828832.\nAnswer: -62837823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*q - 871 - 3779. Calculate the greatest common factor of q and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 181*p - 199*p + 126087 + 121629. What is the lowest common multiple of p and 2?\nAnswer: 13762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u + u + (u - 3*u + u)*(0 - 2 + 4) + u + 2*u - 2*u in the form s + o*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/42 and 11\/191478.\nAnswer: 191478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.86 - 16. Let p = 0.26 - k. What is the third smallest value in -5\/2, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-30))\/(-20*(-60)\/(-21200))?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2179, 2359, 2539?\n\"Answer: 180*c + 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - -0.5. Let j = 0.27 - 0.03. Let g = 0.04 - j. Sort -5, q, g in increasing order.\nAnswer: -5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 15*p**2 + 46*p + 262. Does 14 divide c(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*b - 21 - 27, 2*z - 12 = 2*b. Suppose 2*k = -2*k - z. Let q = 1 - 5. Put k, q, -2\/19 in increasing order.\nAnswer: q, k, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83329 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 237 = 1. What is the remainder when 66 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 18340 = 4*h, 0 = 4*q - 8*q + 16. Round h to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-55))\/(-13 - -14). Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385149.839983 - -385150. Let l = m + -0.16. Round l to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + t - 12, t = 670*z - 673*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjjwggjjjggjggjwgw. What is prob of picking 3 w?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 - y - 4. Give t(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuzuuuzuzu. What is prob of picking 4 u?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v. Suppose 3*g = 3*m - m + 38, 4*g - 3*m - 50 = 0. Let z be (-4)\/g - (-160)\/364. Do v and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8862\/1445 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(108)*3)\/(1*sqrt(726)).\nAnswer: 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.9124 rounded to one dp?\nAnswer: -307.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 265813.2 to the nearest one thousand.\nAnswer: 266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 13. Let i be k(-15). Suppose -4*w + 30 + i = 0. Solve 6 = -4*t - 3*c, 2*t + 2*c - 6*c - w = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2128.87475 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -233?\nAnswer: -3\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/367 (c) 1\/874 (d) 3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 1\/26, -27, 41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3176, -1\/74, -1\/3 in increasing order.\nAnswer: -0.5, -1\/3, -1\/74, 3176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*y + 5, 2103*s - 2100*s + 3 = -3*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -94 + 2*m**2 + 289 - 82 - 95 - 35. Let p(v) = -v - 5*v + 4*v. Give x(p(c)).\nAnswer: 8*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 8*t - 19)*(-t + 0*t + 0*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g - 199*g + 99*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-1 - (114\/(15604320\/(-1075334)) + (-4)\/58)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + v)*(1 + 2 - 4) + 0*v - 3*v - 7*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2137*g*u**2*v - 4*g*u*v - 7*g*u - 80*g*v + 624*u**2*v + 2*u**2 - 2*u*v + 15*v wrt u.\nAnswer: 4274*g*v + 1248*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/16 of a minute?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 3*q - 22, 6 = -r + q. Let t be 543\/(-6) - 1\/2*-3. Calculate the common denominator of 119\/6 and 24\/(-16) + t\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*a - u + 28, 5*a = -2*u + 69. Calculate the highest common divisor of 117 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 7:14 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, u: 2, p: 6, l: 1, t: 3}. Give prob of sequence nl.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {x: 3, v: 1, m: 3, d: 4, g: 7}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12384 and 318544?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2 - 4\/2). Let a be 3\/(-6) + (-1)\/(-2). Solve 2\/3*q**2 - 2\/3*q**c - 2\/3*q**3 + 2\/3*q + a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 19. Suppose 0 = -0*v - r*v - 3*n + 268, 2*n = 2. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (26 + -5 - -20) - -59.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -46*y**3\/9 + 320*y**2\/9 + 382*y\/9 + 16\/9 = 0.\nAnswer: -1, -1\/23, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, c: 7, j: 4, n: 3, y: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 24. Let p be (-2)\/g + -100*5\/(-18). Let k be ((-20)\/p + 2\/(-7))*-13. Solve 4*h = -0*h + l + k, -1 = -h - 2*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - 36*a**3 + 0*a**2 - 3 + 35*a**3 + a**2. Let i(c) be the second derivative of -c**2\/2 + c. Calculate -4*i(n) + m(n).\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3184, 3210, 3234, 3256, 3276?\nAnswer: 3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -220 (b) -4 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5582.94 nanograms in kilograms?\nAnswer: 0.00000000558294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -287812845*n**2 - 151740*n - 20.\nAnswer: -5*(7587*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from bbmkmmmrd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24 (b) -4 (c) 0.1 (d) -107\/3 (e) -15 (f) 2\/5 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 542.6 - 542.600922. Round g to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*s**4 - 8537236*d*s**3 - 1114*d - 2*s + 1759 wrt s?\nAnswer: -24*d*s**2 - 51223416*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1859 divided by -301.\nAnswer: -1859\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006167007 to 4 dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2. Let m(g) = -1479*g**2 - 203*g + 203. Let i(q) = -29*q**2 - 4*q + 4. Let j(s) = 203*i(s) - 4*m(s). Determine p(j(w)).\nAnswer: 3364*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3\/(-1) - (-32)\/4). What is the third smallest value in z, 0, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/32 (b) 0 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9271296\/109 or -85059?\nAnswer: -85059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8 + 17*z + 5*z - 8 + 3*z**2. Let l(n) = n**2 + 11*n. Let c(f) = 9*l(f) - 4*u(f). Let s(m) = -m. What is c(s(i))?\nAnswer: -3*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - 1. Let d = 14.5 + t. What is the nearest to -1 in 0.1, d, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -82*q + 33*q + 27*q + 34*q. Let x(z) be the third derivative of -2*z**4\/3 - 5*z**2. What is x(w(s))?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 11) to base 7.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-114)\/8 - 3\/(-12). Let h = t - -26. Calculate the least common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, p: 4, t: 2, j: 1, k: 4}. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7 - 625\/7*m**2 - 3125\/7*m**5 - 200\/7*m + 3125\/7*m**4 + 625\/7*m**3.\nAnswer: -(5*m - 4)**2*(5*m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-252)*-2)\/(4\/14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 188796082 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48426)\/(-133) - 8\/76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1838 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 4*q = -276, 18*x + 4*q + 16 = 15*x - 62 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*v - 5 - 31 = 0, -11 = -k + 2*v. Let n = k - -3. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201110202 (base 3) to base 12\nAnswer: 17732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777635 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/48777 (b) 0.2 (c) -2 (d) 0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(((p\/p**(-1\/5))\/p)\/p)\/p)\/p**(-5\/3))**3 assuming p is positive.\nAnswer: p**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 8. Suppose -4*u + 34 = -2*n, -4*u + 0*u - 4*n + 4 = 0. Determine i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 8)*(-3 + 1 + 3)*(-4*x**2 + 0 + 0)*(-3*x**2 - 2*x + 2*x)*(-5*x - 3*x + 0*x).\nAnswer: 672*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 834 - 829. Solve -j*v - 21 = -11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/9 - 6\/(-27). Suppose -5*g - 5 = 0, -2*g - 2 = -2*n - a*g. Differentiate 3*t**2 - 5*t**n - 2 + t**2 wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 11 = 66. Let f be (-6)\/27*-9*(3 - 1). Suppose v*r - f*r - 483 = 0. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/7 + 34*i**3\/7 + 4*i**2 - 64*i\/7 = 0.\nAnswer: -16, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6490, 0 in descending order.\nAnswer: 6490, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 153717983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748799?\nAnswer: 3, 13, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1742 and 3.214.\nAnswer: -1738.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9*p + 28 = 4*p, 0 = 3*l + 2*p + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12aa38 (base 12) to base 13.\nAnswer: -aa8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 - -174) + -147 - -125?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -14. Let r = 26 - u. Put r, -2, -2\/3, 2 in descending order.\nAnswer: r, 2, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 34736.\nAnswer: 243152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1243 (base 8) to base 10\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:52 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27551\/12 + -2298. Let i = -556\/23 + 6151\/322. Find the common denominator of g and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j**5 + 2556547*j**4 + 71214902*j wrt j.\nAnswer: -160*j**3 + 30678564*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720069.\nAnswer: 13, 132313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -29*i - 4 - 4 + 17 - 9. Let p(k) = 14*k**2. Calculate p(d(z)).\nAnswer: 11774*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653604?\nAnswer: 2, 37, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 818780404 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 423, 428, 437, 450, 467?\n\"Answer: 2*m**2 - m + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*c + 8563 = -305*c + 978 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2909981959 + 31*j**2 + 2909981959.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((5 - 1) + 13). Suppose 0 = -f + 5*x + 28, 19 = 3*f - 3*x - d. What is the least common multiple of f and 241?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/8, 4.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**3 + 0*r**2 + 5\/12*r**4 + 2\/21*r**7 - 3*r + 0*r**5 + 0*r**6 + 0. Find the third derivative of n(v) wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -7 - -16 - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 591 or -4206?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1756*n**2 - 3263.\nAnswer: 3512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 12880 = 28*u. Let i be ((-79065)\/28)\/((-21)\/u). Round i to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/4 + 13*g**3\/3 + 11*g**2\/2 + 12*g + 4. Is c(-12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 50. Let i be r(-15). Which is the nearest to 0.1? (a) i (b) 0.9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 899 + -962.1. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 16, 20, 24, 28?\n\"Answer: 4*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + d - 2. Let c be p(-2). What is the greatest common divisor of c and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f + 77741*f**3 - 77603*f**3.\nAnswer: 138*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2ca1a (base 13) to base 9\nAnswer: 138775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhwctwhhthhtecwt. Give prob of picking 2 w, 1 e, and 1 h.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -0.4 (b) 1\/58 (c) 4 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128258963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -417.6553571 and 0.19.\nAnswer: -417.4653571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*20330\/(-71155).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 15\/2 (c) -7 (d) 3\/2 (e) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 + 4*z**2 - 2*z**2 + 0*z**2 - z**2. Let b(k) = -42*k. Calculate b(h(p)).\nAnswer: 126*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 7:33 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -9. Let h be i + 4 - (4 - 5). Let v(x) = x**3 + 3*x**2 - 5*x - 1. Let y be v(-4). Solve -2*a - 15 = y*r + 2*r, -a = h*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.4 - 9. Let t = i - 1.33. Let z = -0.33 + t. Round z to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 30*c**2 - c - 19. Let g be o(-30). Let p be (86\/g - 8) + (-27)\/(-88). Factor 0*h + p*h**3 - 1\/8*h**4 + 0 + 3\/4*h**2.\nAnswer: -h**2*(h - 3)*(h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5 + 41*c**3 + 55916*c**2 + 38956607*c wrt c?\nAnswer: -100*c**3 + 246*c + 111832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -1, 0.343?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*2\/(-3)*(-503457)\/566 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - d?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 6*r**2 + 2*r**2)*(-17 - 34 + 11) - 3*r**2 + 0*r**2 + 7 - 6.\nAnswer: 37*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 1. Let r = 27 + -26.9. Which is the closest to r? (a) t (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62.8 - 8.4. Let d = z + -53.4. What is the nearest to -2 in 2\/11, d, -44, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 4*h**2 - 3*h**3 - 4*h**3 - h**3.\nAnswer: 4*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*c - 10*c + 10, 5*a + 20 = 4*c. Let s(g) = -464*g**2 - 2 + g**3 + a + 8*g + 5 + 456*g**2. Calculate s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64800 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let x(m) = m - 1. Let t be (-10)\/(-15)*(2 - -1). Let d be x(t). Let o(f) = 0 - 1 - 2*f + d. Determine o(i(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/24042 and 79\/186?\nAnswer: 745302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732875 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 5*j**2\/2 - 1. Let f be o(-5). Is 13 a factor of (195\/f)\/(2\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, u: 1, k: 4, o: 1}. What is prob of picking 2 a, 1 o, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/h**(-2))\/(h\/(h*h**(2\/19)*h))**16 assuming h is positive.\nAnswer: h**(1141\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/19139042 and -71\/166622248?\nAnswer: 2832578216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*z + 64. Suppose o + 12 = -3*o. Put 1, 0, o, z in decreasing order.\nAnswer: z, 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.9 + 1223119608\nAnswer: 1223119583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvxuvggvo. Give prob of sequence vxv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 219, 324, 431, 540, 651?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 989 and 253?\nAnswer: 10879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6371 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 + 176. What is the second derivative of -4*m**5 - t - 16 + 2*m + 47 - m**2 wrt m?\nAnswer: -80*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 159.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 64. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, k: 4, z: 1, w: 2, u: 1, r: 1}. Give prob of sequence zkwu.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1317*g + 1063. What is the remainder when m(7) is divided by 187?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185 a factor of 2590380615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15749 divided by -2566\nAnswer: -15749\/2566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.102 - -0.002. What is the nearest to p in -1, -9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:10 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 2304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - q + q)*(0 - 2 + 0) - 9*q - 2*q + 2 - 28*q + 2*q - 3 + 3 + (3*q - q - q)*(3 - 1 - 3))*(0*q + 2*q - 4*q).\nAnswer: 84*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 637312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22997.\nAnswer: 13, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -147, -191?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 32 = 17*i - 12*i, 5*i = -20 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*o - 6, -4*a + 13 = -o - 4*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*x - 4*s, 5*x + 1 = -4*s + 9. Factor -4\/11*a - 46\/11*a**x - 14\/11*a**5 - 26\/11*a**2 - 54\/11*a**3 + 0.\nAnswer: -2*a*(a + 1)**3*(7*a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 96\/(-18) + 5 + (-650)\/(-15). Suppose w*u + 130 = -171. Suppose -3*o = -5*c - 1, 4*o + 3*c = o - 15. Sort u, 4, o in decreasing order.\nAnswer: 4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -39*m**2 - 5*m + 3. Let y be f(1). Let j = y - -100. Let g = -40 + j. Calculate the remainder when 35 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2. Let m(s) be the third derivative of -35*s**4\/12 + 55*s**3\/6 - 3*s**2. Let y(b) = -5*b + 4. Let l(h) = 4*m(h) - 55*y(h). Determine l(t(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(190) - (sqrt(190) + 2*sqrt(190))) + sqrt(190) + sqrt(190) - sqrt(190)) + (-5*2*sqrt(190) - sqrt(190)))\/((sqrt(180)*1)\/sqrt(2)).\nAnswer: -20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -160. Suppose -2*l = 5*b - 1639, l + 1307 = 4*b + i*l. Does 47 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 greater than 741\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -3. Let x be (1\/(-12))\/((-6)\/16). Which is the smallest value? (a) z (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 55 - 55.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -87. Suppose 2*r - 52 = 3*g + g, -r = -3*g - a. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/((s*s*s*s*s\/(s\/s**(6\/11)))\/s)*s*s)*s*(s*s\/((s\/(s\/(s\/(s*s\/(s**(-8)*s))*s))*s)\/s)*s)\/s*(s\/((s**(4\/5)\/s)\/s))\/((s*s*s**9)\/s) assuming s is positive.\nAnswer: s**(206\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.1 (b) 3\/4 (c) 1 (d) -0.701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 bigger than 358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33277*g**3*p**2 + g**3*p*t**2 - 5146*g*p**2*t**2 - 219*p*t**2 + 103910*p*t wrt p?\nAnswer: -66554*g**3 - 10292*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42584919 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 3*l + 14*f - 373, 0 = -f - 2. Let z = 123 - l. Let y(c) be the second derivative of 2*c**3\/3 + c**2\/2 - c. Calculate y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 206*v + 9 + 4299*v + 8 - 10.\nAnswer: 4093*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644 to the power of 1\/5, 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 703089?\nAnswer: 3, 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153479423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 662?\nAnswer: 40382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3546.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, 35, 44?\n\"Answer: 9*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose 0*c + l*c = 8. Suppose 5*k = c*w + 118, w - 81 = -k - 2*k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -2377.\nAnswer: -2377.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248185?\nAnswer: 5, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 19*l**2 + l**2 + 3*l**2.\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60808 = 180*v - 600*v - 147*v - 124*v for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -10\/73 in decreasing order.\nAnswer: -10\/73, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16864 + 16894. Solve o = -6*l + 42 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkarkkrkrakrraraarkk. What is prob of sequence aarr?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 1. Suppose -5*h + 15 = 0, -5*f + 14 + 31 = -5*h. Suppose 3*v - f = -v. Let m(w) = w - 5*w - 1 + v*w. Give l(i) - 2*m(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/16953 and 34\/2119125?\nAnswer: 2119125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.534 + 2.034. What is the third smallest value in 234, -1\/8, -3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(4))\/sqrt(2) - sqrt(4)\/(sqrt(2)*-1)) + ((sqrt(4)\/sqrt(2) + sqrt(2))*1*5)**2.\nAnswer: 2*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 4234\/(-18)) + (-60)\/270. Suppose v - 5*s - m = 0, 0*s + 5*s = 2*v - 486. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/5, 4\/3, 258, -0.3, -65.4, 15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 211*w**2 + 419*w**2 + 206*w**2 - 13*w.\nAnswer: 414*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:57 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 123561369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-35))\/4 - 1000\/280.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (sqrt(1300) - (sqrt(1300)*4 + sqrt(1300))) + 0)**2.\nAnswer: -80*sqrt(13) + 20801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - sqrt(637)*-1) + sqrt(637) - sqrt(637))*-2 + 4 + sqrt(637)*-1*-2 + -2 + sqrt(637) + sqrt(637)*-2)**2.\nAnswer: -84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**5 - 58974*q**4 + 1107*q**3 + 1015606088*q?\nAnswer: 40*q**3 - 707688*q**2 + 6642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925971141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -78, -180, -322, -504, -726?\n\"Answer: -20*d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.60750221 to 2 dps.\nAnswer: 18.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 815611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 6*n**2 - 14*n + 2*n + 7*n to q + j*n + g*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) 12 (d) -89 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - w + 480 = 15*k, 3*k = 4*w + 311. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**2 + v - 1. What is the remainder when 55 is divided by k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 4. Let q = 1 - -2. Let t = -3.2 + q. Which is the smallest value? (a) -0.5 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + 2*p - 16. Determine w(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*w + 204. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 34674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s**3 + 5835*s**2 - 40914*s + 6657 = 0 for s.\nAnswer: 1\/6, 7, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*q - 661 + 661)*(1183 - 507 + 1084) to the form i + z*q and give z.\nAnswer: 98560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 6*t)*(-22*t + 13*t + 15*t) - t**2 - 2*t**2 + 5*t**2 + (-2 + 1 + 3)*(t**2 + 2*t**2 - t**2) - t**2 + 0*t**2 + 0*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*z - 473 = 472. Put 2, z, -84 in ascending order.\nAnswer: -84, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Let x be ((-9)\/l)\/((-3)\/(-8)). Let f = x - -6. Calculate the least common multiple of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3575 - -7677. Let p = d - 8002. Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 8*p - 17. Let n be i(3). Put n, -4, -3 in ascending order.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 108 = 279. Suppose 5*m = 3*m + 52. Let t = m + -15. Calculate the remainder when k is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-52 + 102 - 52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -331*i - 193*i + 38776 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 + 132*d + 256. Calculate the remainder when 11499 is divided by s(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115536 and 606564.\nAnswer: 2426256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 28416?\nAnswer: 6819.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 57*h = 11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 26*k**2)*(-4*k**2 + 5*k**2 - 2*k**2) + k**4 - k**4 - k**4 - k**3 + k**3 + 2*k**4.\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 19*v + 57. Calculate s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -330. Suppose -n = -7*f + 2*f. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 7 - 2) + 150\/25. Calculate the greatest common divisor of p and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-651*i + 651*i + 70*i**2)*(1 - i - 3*i + 2*i) as j*i**2 + y + v*i + p*i**3 and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/m**1)\/((m\/m**(-3))\/m*m**0*m*m*m)*(((m**(-1)*m)\/m)\/m*m)**4*((m**(-4)*m)\/m)\/(m*m**(-7)) assuming m is positive.\nAnswer: m**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 564 - 285 - 339 + 5*k**3 + 2*k**2 in the form s + l*k**2 + g*k + y*k**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/26 + 5229\/1079. Solve 8 = 4*k + 3*s, 0*k = -k + s - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 6*z + 39. Suppose 5*p = l - 1, 0*p = 5*l + 2*p + 49. Determine r(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 1 = 3*u - u - 11, 0 = -2*u + 3*u - 2*q - 11 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert e5e53 (base 15) to base 8.\nAnswer: 2617425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 greater than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -24. Let d be (28 - (-7000)\/(-252))\/(2\/(-8)*-2). What is the second smallest value in r, d, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 9. Let i(u) be the second derivative of -u**3\/3 - 19*u**2\/2 - 142*u. What is 6*i(c) + 13*n(c)?\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507983?\nAnswer: 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1758.1105 - 0.1105. Let x = w - 1670.7. Round x to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 48, 73, 100, 129, 160, 193?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1060655999 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1470 and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4488 and 12564?\nAnswer: 4698936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 95358 = 2*m + 2*o, m - 23862 = 5*o. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6262 and 3838?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + l = 4, 7*g + 2*l = 10*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/7*(-17)\/17 + 8\/140. Find m such that 2\/5 - u*m**2 + 1\/5*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 183?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 = -s, 6*f - 25 = -5*s + 8*f. Calculate the greatest common factor of 55 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-34)*b**(-25\/6)*(b\/b**17*b)**(-23\/2) assuming b is positive.\nAnswer: b**(403\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 346.4 + -346.3. Which is the closest to 1? (a) -3\/8 (b) -2\/11 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -250*n**5\/3 + 100*n**4 - 40*n**3 + 16*n**2\/3.\nAnswer: -2*n**2*(5*n - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34177253801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117200 (base 8) in base 5?\nAnswer: 2244301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5)\/(3\/60). Suppose 8*k - 10*k + 4 = 0. Suppose 5*j + 41 = 2*v, -k*v + j = -6*v + 27. Is v bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 774304026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*k + 2127, -1 = -2*k + 3*k. Let i be (0 + -100)*(w - -4). Round i to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c + 3. Let g be t(10). What is the second derivative of -2*o - 97*o**2 - g*o + 101*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**4 + 25*f**3 - 45*f**2 - 65*f - 5. Let x(h) = -2*h**4 - 13*h**3 + 22*h**2 + 33*h + 3. Let m(l) = -3*t(l) - 5*x(l). Factor m(i).\nAnswer: -5*i*(i - 2)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-7) - 867\/(-21) is divided by ((-27)\/(-18) + 9)*16\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 - 37 = 0. Let m(k) = 4*k**3 - 3*k**3 - 3*k**3. Let w(l) be the first derivative of 3*l**4\/2 - 1710. Determine q*m(s) + 2*w(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 5)*(0*r + 0*r - r**4)*(r - 2*r - 5*r).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 30\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*n = 2*n - 16, -4*n = 2*v + 8. Determine c so that -19*c**2 - 80*c**2 - 5*c**3 + 90*c**v - 3*c**5 + 9*c**2 + 8*c**5 = 0.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**3 + 4*p**2 + 1. Let o(a) = 19*a**3 + 9*a**2 + 1. Let k(x) = 9*i(x) - 4*o(x). What is the first derivative of k(v) wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose -m*u = -5*a + 129 + 10, u - 133 = -5*a. Is 14 a factor of 266\/18 + 6\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 7 + (5 - 4 + 0)*(0 + 4 - 2)*(0 + 0 + 2))*(-13*c - 56 + 56)*(2*c**2 + 4 - 4) in the form l + d*c**3 + f*c + n*c**2 and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(5 + (4 - -3)). Let i be 1\/(-2) - (-9)\/y. Let l be (i\/5)\/((-6)\/(-330)). What is the nearest to l in -1, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978854327 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -19. Calculate the remainder when 41 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 10:57 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 97 = -14*u. Put u, 3, -3 in decreasing order.\nAnswer: u, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*b = -4*b + 34, -4*b = -2*w + 34. Calculate the remainder when 32 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 100. Which is smaller: d or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + -189. Let f be 1\/(k\/(-18) - 3). Solve 0*p - 24 = 5*p - y, 3*p + f = -3*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)*x)**(-47)\/(x*x**(4\/7))**18 assuming x is positive.\nAnswer: x**(-1121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 8*x - 7, -692*z = -695*z + 8*x - 47 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (-9 - (0 - 4)) + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104985*d**2 - 355*d - 139 wrt d.\nAnswer: 209970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-20)\/o*o)\/o*o*o**(-6\/19)*o*o**(-1\/43)*o*(o**(-47)*o)\/o*o assuming o is positive.\nAnswer: o**(-52565\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 13*z - 10. What are the prime factors of s(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.03783ms in hours?\nAnswer: 0.000241677175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 - 655*q - 8700 = 0?\nAnswer: -116, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i - 50. Suppose 5*k + 25 = 0, -3*k - k - 14 = h. Let q be c(h). What is the greatest common divisor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/48 + 183*v**3\/8 + 137*v**2\/2 + v + 1394. Factor p(y).\nAnswer: (y + 1)*(y + 548)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7258841 rounded to 3 dps?\nAnswer: -1.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aeca83 + -2?\nAnswer: -aeca85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 32459938 a multiple of 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -177811366 divided by 88905683\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 57*c**2 + c**3 - 54*c**2 - 4*c**2. Let m(g) = 11*g**3 - 7*g**2. Calculate -m(l) + 6*q(l).\nAnswer: -5*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 14801150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 9. Let x(s) = 123 + 123 - 371 + 124. What is -5*x(m) + y(m)?\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-24)\/(-108) - 26\/36)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -8253?\nAnswer: 2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (637*j - 644*j - 148*j**2 + 178*j**2)*(2*j - 5*j + 2*j) as q*j + k*j**3 + b + l*j**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1153 - 97. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10379 (b) -1 (c) -5 (d) -10.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k**10)**42 assuming k is positive.\nAnswer: k**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1361? (a) 2\/7 (b) 1\/3 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -57*b + 50. Let z be f(0). Calculate the greatest common factor of 180 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 15 + 16)*(5*r - 5*r + 2*r) + 4*r + 10*r - r to the form s*r + w and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 2395. Let d(t) = 6*t**2. Give d(z(m)).\nAnswer: 24*m**2 + 57480*m + 34416150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from xixxqxxxahxqxxhilih.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 9 - 3. Suppose -3*f = t*c - 18, 2*c = c - 2*f + 11. Let d be (-2 - 9299998) + (c - 1). Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 50240 = -4*h, -25*i = -28*i - 4*h + 37686. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*k = -3, -5 = -37*y + 33*y + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 11. Let i be s(-8). Let a = -9 - i. What is the greatest common factor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21386.62942 - -21387. Let q = 37 + -36.63. Let z = q - x. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/5)\/r)\/r**(-6))**(1\/26))**33 assuming r is positive.\nAnswer: r**(957\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*(-7)\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -70?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15147 = 3*o + t, -2*o + t + 10102 = 3*t. Let x = o + -2217. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1501, -0.3, 0, -1.2, 2, 0.3 in increasing order.\nAnswer: -1501, -1.2, -0.3, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h. Let a(w) = w**2 + w. What is -a(b) - v(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1801?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 13*q**2 + 10*q - 9. What is f(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 3:59 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + f - 1. Let a be (-1 - 6\/(-4))*0. Let u be n(a). Let b be -1 + (2 + 0 - u). What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*l + 2*l**3 - 314*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 164 = -4*r - 0*f, 8 = 2*f. Let a = r + -40. Suppose a*p = 5*q - p + 34008, -p + 20402 = -3*q. Round q to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1\/2, 29.8, 2, 3, 340?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - (0 - (-5 + 7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(sqrt(425) - (sqrt(425) + 1))**2*2 + -3 + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 4, 19, 38, 61, 88?\n\"Answer: 2*k**2 + 5*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2404502?\nAnswer: 2, 1202251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150, 204, 248, 276, 282, 260?\n\"Answer: -v**3 + v**2 + 58*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 4, d: 4, v: 6}. Give prob of sequence dmmv.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**8\/10080 + t**5\/20 + 2*t**2. Let x(v) be the third derivative of z(v). Let w(f) = 5*f + 2*f - 3*f. Give x(w(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:06 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from aoonoonoovnnov.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + (-4)\/6. Let w(b) be the second derivative of 0 - 3\/2*b**2 - 1\/6*b**3 - 14*b. Calculate w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3469*b**2*c - 599*b**2 + b*c + 5 wrt c.\nAnswer: 3469*b**2 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-25)\/(-8) - -2)*1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -35 (b) 0.2 (c) -2\/3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 - -2509. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**3 + 5*t - 3. Let g(y) = -10*y**3 - 7*y + 5. Suppose 7*c + 42 = c. Suppose -33 = 6*s - 3. What is c*i(a) + s*g(a)?\nAnswer: a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369 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: Suppose 0 = -m + 17*m + 2688. Let u be 172\/22 - m\/924. Solve -u*l = -5*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c**(-2\/13)\/c))))\/(c*c**(1\/4))*c**(-3\/10)*c*c\/((c*c*c*((c**12*c)\/c)\/c)\/c))**(-3\/16) assuming c is positive.\nAnswer: c**(8109\/4160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-21))\/(6\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 246, 328, 410?\n\"Answer: 82*k + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -59*c**2 + 78*c + 1. Let i(p) = 12*p - 14. Determine j(i(u)).\nAnswer: -8496*u**2 + 20760*u - 12655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k - 187*k**3 - 195*k**3.\nAnswer: -382*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-280)\/(-21))\/8*414. Calculate the greatest common divisor of b and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2\/2 + 15*m - 5. Let v be u(8). Suppose -3*f = -v*f + 3600000. What is f rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p\/((p\/((p*p\/p**(1\/3))\/p))\/p)*p)))\/(p\/(p*p\/(p*p**(-15\/4)))) assuming p is positive.\nAnswer: p**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 2 = -2. Suppose t = -3*l + 4*l + 3*m + 197, -733 = 4*l + m. Is l less than -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 - -869\/3. Find the common denominator of n and 189\/2025*(-976)\/(-112).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = k - 25, 2*s = -2*k + 3*s + 14. Suppose 129 = k*q + 4. Let m = q - -6. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (6 + (0 - -32) - 0) + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -23 (b) 481 (c) -7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -8) + (-9)\/3. Suppose 3*a = -3*q + 6, n*a + 4*q - q = 11. Suppose -a*c - 20 = -85. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**13\/(g**(-1\/5)\/(g*g**(1\/4)*g*g)))\/((g**0)**(-32))**12 assuming g is positive.\nAnswer: g**(-833\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 25. Suppose p + 21 - 25 = o. Suppose 4*y - 61 = n, p*y + y - 50 = -4*n. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23800*r**2 - 17570?\nAnswer: 47600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 7*r + 13. Let d be a(-6). Let n = -101 - d. What is the highest common divisor of 48 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.077 * -0.339\nAnswer: -0.026103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:28 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260) - (1*sqrt(260) - sqrt(260)))\/sqrt(5))\/(sqrt(392)\/sqrt(2)))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8052847*t**2 - 764*t + 26.\nAnswer: 16105694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 6*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2*u - 5. Let k = -52 + 40. What is the tens digit of h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110116389.\nAnswer: 3, 36705463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 12*t + 22. Let m(k) = -4*k**2. Let f(r) = -19*r**2 + 9*r - 16. Let l(q) = 4*f(q) - 20*m(q). Let u(i) = -3*l(i) - 8*z(i). Factor u(x).\nAnswer: -4*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.86913 to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9559066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 5. Let v = -10 - -6. Let f be 3\/24*-2*v. Let g(s) = -1. Let p(l) = f*m(l) - 4*g(l). What is the derivative of p(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*((sqrt(77)\/(sqrt(7) - sqrt(1008)*-1))**2 - (5 + 0 + sqrt(11) + 2)).\nAnswer: 18*sqrt(11) + 21096\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063, -7612, -25149, -59170, -115171, -198648, -315097, -470014?\nAnswer: -668895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 - -9. Let k = o - 90. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3894935523 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202953720 rounded to the nearest 1000000?\nAnswer: 203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/10)\/13*(3\/(-33) + 1\/9).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*z = 103 - 281 - 267. Let h(u) = 7 - 3*u + 2 - 10 + 2*u**2 + 4*u. Let a(m) = -2*m**2 - m + 1. Give z*a(q) + 4*h(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 71, 260, 629, 1238?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(2*o**2 + o**2 - 6*o**2)*(6*o + 1 - 2*o + 0) - 6*o + 6*o - o**4.\nAnswer: 23*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1753 - 1293. What is the smallest common multiple of 7 and h?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2256*z = 2*i + 2251*z + 39023590, 0 = 3*i - 5*z + 58535390. Round i to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ckpskkqkc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 - -1.8. What is the biggest value in -2\/15, v, 6, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.2, -4, 1417, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, -383987059?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247 + 271. Let v = 239 + -212. Calculate the smallest common multiple of b and v.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9\/5 (b) 10\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*v**3 + 180*l**2 - v**3 - 20*v**2 wrt l?\nAnswer: -2*l*v**3 + 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and -15\/28676.\nAnswer: 258084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 279, 1120, 2521, 4482, 7003?\n\"Answer: 280*a**2 + a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199400375?\nAnswer: 5, 29, 67, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55302669*v**2 - 82105668?\nAnswer: -110605338*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23420 + -30?\nAnswer: 23340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.15 in -2, 3, 0.2, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -1 + 1*sqrt(192)*3)**2.\nAnswer: -3488 + 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*p = -p + 6, -5*g = -5*p - 15. Suppose -16 - 6 = -2*h. Suppose -g*v = -2*v - h. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/88 and -163\/462.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7, l: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*a - 5*a - 4*j, -5*a + 2*j + 70 = 0. Suppose -3*c - p + 20 = 0, -a = 2*c - 5*c - 2*p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/636)\/(37\/(-148))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25341*v**2 - 669*v**4 + 25341*v**2 - 2 - 2*v**4 + 2 + (-3*v**4 + 3*v**4 + 2*v**4)*(-2 - 1 + 2) to n*v + m + s*v**2 + b*v**3 + a*v**4 and give a.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 3*o + 3*o)*(0*o - 2*o - 6*o) + 3*o**4 + 0*o**4 - 4*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 5) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 0, 1.3, 3, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -16 + -23 + 16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -30313?\nAnswer: 30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 9. Suppose 4*v - 11 = d, 4*d + 4*v - 16 = -0*d. Let x be (2 + d)\/((-4)\/(-16)). Determine t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -321523?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22 - 2) + 18 - 0 - 14) + -4 + 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 1. Let s(n) = n + 2. Suppose 13 = 5*m + 3. Let u(t) = m*w(t) - s(t). Calculate u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1225 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1529461 to the nearest ten thousand.\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034823856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diiidadqad. What is prob of sequence qia?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 10368.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3*v**2 + 2*v**2 + (-3*v + 5*v + 0*v)*(0*v - v - v) - v**2 + 2*v - 2*v + 0*v**2 - 4*v**2 + 2*v**2 - 33*v**2 - 246*v + 246*v)*(-v + 12*v - 7*v).\nAnswer: -172*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17908\/15 + 1194. What is q in -4\/15*q + 0*q**2 + b - 2\/15*q**4 + 4\/15*q**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 11820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 1342, 3016, 5360, 8374, 12058?\nAnswer: 16412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 88 = 162. What is the greatest common factor of 60 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4205 - (60\/(-16)*-1)\/(3\/4). Which is greater: -4209 or m?\nAnswer: -4209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647.21 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4406326 is divided by 275.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s + 3, -5*n + 2*s + 26376 = 0. Let b = 8074 - n. Round b to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513719981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - e3?\nAnswer: -e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -89. Let m = -33 + x. What is the fourth biggest value in m, 0.3, 1\/7, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r + 1. Suppose 9*u - 7*u + 30 = 0. Let a = u - -20. Let c be m(a). What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 112151 = -3*z, -60*m - 74779 = -2*z - 61*m. What are the prime factors of z?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 3. Give o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58216*q**3 - 93*q**2 - 5665970*q wrt q?\nAnswer: 349296*q - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65.1 and -1781.\nAnswer: 115943.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 - 850*n - 4219. Determine a(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - (27 + -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(660\/(-11))*44*10\/(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 + 70*d - 75 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1828435 divided by 21511?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.332 - -4.232. Which is the third smallest value? (a) u (b) -1.8 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 + 17*t**2 + 2*t**5 - 54*t**2 + (2 - 3 + 0)*(-8*t**2 + 8*t**2 + t**5) + t**2 + 2591*t - 2591*t - 6*t**5.\nAnswer: -5*t**5 - 29*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442313054.\nAnswer: 2, 1093, 202339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595 is divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.05 (b) -100 (c) -1\/7 (d) 0.1 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13029?\nAnswer: 3, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) 0.13 (c) 0 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4653909 - -909.666\nAnswer: 4654818.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + j = -v - 72, -2*j + 81 = 5*v. What is the smallest common multiple of 40 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, -111, 671.\nAnswer: -111, 201, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + 8.81. Let m = v - 8. What is the closest to -0.2 in m, 2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 5*l**4\/4 + l**3\/6 - l**2\/2 - 18*l - 13. Let c(s) be the first derivative of k(s). What is c(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(80))**2*-4 - sqrt(5)) + sqrt(5) + sqrt(5) - sqrt(5)).\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (1 - (-96)\/(-4)). Suppose 3*a - v - 8 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -143 (b) 0.4 (c) 2\/15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1))**16)**(-1\/48))**(-35) assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129585 + -129978.654. Let x = r - -394. Round x to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2. Let m(b) = 6*b**2 - 5*b + 5. Let t(k) = -7*k**2 + 6*k - 6. Let i(j) = -6*m(j) - 5*t(j). Determine x(i(z)).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**2 + 24*f**2 - 71*f**2.\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*w - 21, -2*w + w + 25 = 3*q. Suppose 2*i = q + 62. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104233 (base 5) to base 9.\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168531 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ba - 3?\nAnswer: 7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + -23?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6471, 26345, 59475, 105867, 165527, 238461, 324675, 424175?\n\"Answer: j**3 + 6622*j**2 + j - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/7 - 11*s\/7 + 10\/7 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 844902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3203697 is divided by 23731.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -127, -209, -347, -541?\n\"Answer: -28*v**2 + 2*v - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3158.57 millimeters to centimeters.\nAnswer: 315.857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 34*d - 244. Calculate z(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 1. Let t(y) = 25*y - 7. Suppose -49*x - 48 = -41*x. Calculate x*t(s) - 39*d(s).\nAnswer: 6*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.239242 grams to micrograms.\nAnswer: 4239242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6606875 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -2. Let s = r + 21. Solve -o = -5*l - 0*o - 15, -4*o = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.4 or 39?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*14\/(-63).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82030 or 82027?\nAnswer: 82030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/6769 - 6749\/13538. Suppose -5*g + 5*t = -35, -12 = -g + 3*t - t. What is the nearest to -4\/9 in -2, q, -5, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/16 - 2*z**5\/15 + 28*z**2. Find the third derivative of g(w) wrt w.\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/33 - 456\/(-33). Suppose 5*d - r = -2*k - 3, 4*k + d - 13 = 0. Suppose 0 = -2*w + k*w - 104. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjzgemmjmgmj. Give prob of sequence ejzj.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -3*c**2 + 0 + 0*c**3 + 1\/6*c**4 + 0*c. Let d(b) = b. Give d(o(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/12 + 3*z**2\/2 - z. Let l(o) = -o + 4. Let m be l(4). Suppose m = 19*k + 25 + 13. What is p(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 6) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 3\/7 (c) 2\/9 (d) -968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = 223*q - 217*q. Let k = q + 154. Calculate the remainder when k is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328*-130.9.\nAnswer: -42935.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244245 is divided by 139?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347516 and 1933724.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000101101001 (base 2) in base 14?\nAnswer: 110b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 3. Let j be y(-9). Suppose -j*f + 1 = -29. Suppose -5*l = 8 + 2. Sort -3, f, l in decreasing order.\nAnswer: f, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 775713*t**2 + 79787 wrt t?\nAnswer: 1551426*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557706 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1711 + -0.1889. Let p = -0.648 + 0.22. Let n = s - p. What is n rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1608\/2680*2\/(54\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7406127 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + p)*(-9683 - 22530 + 7904 + 4306 - 21557) - 2 - 2*p + 2 + (6*p - 3*p - p)*(-2 + 2 - 2) + 4*p - 5*p + 3*p + 2*p - 2*p - 2*p.\nAnswer: -41566*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1178 (base 9) to base 15.\nAnswer: 3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108357161.\nAnswer: 11, 157, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {o: 3, e: 3, t: 4, n: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -9. Let p = -11.411 + 11.8. Let n = p - -0.011. What is the closest to -2 in r, n, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -51*r**2 + 27*r - 51. Let w be o(2). Let z = 202 + w. Let a(h) = 31*h**3 - 2*h**2 + 2*h - 1. Determine a(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119508 and -34.7.\nAnswer: -4146927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 + 3*j**3\/2 + 2*j**2. Calculate the remainder when 9 is divided by s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 17061, 0.5, 0.1, 0.16, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cococococc. Give prob of sequence ococ.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 50*u**4\/19 - 173690*u**3\/19 - 13166072*u**2\/19 + 10616216*u\/19 - 2128800\/19 = 0?\nAnswer: -75, 2\/5, 3548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 6*g**2 - 3*g. Let i(x) = 20 + 5*x**2 + 18*x**3 - 20*x**3 + 2*x - 20. Determine 5*f(y) + 6*i(y).\nAnswer: 3*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 18*j - 18. Let h(k) = k + 9. Let a(q) = q + 11. Let c(v) = -5*a(v) + 6*h(v). Let x(s) = -18*c(s) + w(s). Let l(y) = -3*y**2. Give x(l(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**7\/280 - r**6\/32 - r**5\/10 - r**4\/8 - 1470*r**2. Factor b(c).\nAnswer: -3*c*(c + 1)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/c**(4\/3)*c))\/(c**(1\/4)\/c))\/(c**(2\/11))**(-26))**(-1) assuming c is positive.\nAnswer: c**(-899\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114740\/13 - 8826. What is the second biggest value in d, -148\/5, 1, 1\/7, -1\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**3 - 20 + 18*k**3 + 202*k**6 - k**4 + 19*k**2 - 195*k**6 wrt k?\nAnswer: 840*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (55 - (89 + -47))) + 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755002650 divided by 3.\nAnswer: 251667550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -1 - (2 - (-33 - -30))) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 155)\/(-3) + (-10 - -9). Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1762?\nAnswer: -1762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-12) + (-2)\/(-8). Does w = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-765))\/((-1)\/(-3))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/84 + 668530\/(-252). Let p = o + 2656. Find the common denominator of p and (-2)\/(-10) + 886\/(-80).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9388 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 4 = 5*w + 3*r, -3*r + 12 = 0. Suppose -g - 235 = -3*b, -w*g - 150 = -3*b + b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*c = -14, 32*n - 16*n + 3*c = -38 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*l + 22*l - 2 + 27*l)*(0*l - 2*l + 0*l) in the form v*l + i*l**2 + b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175794?\nAnswer: 2, 3, 83, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/40 - w**4\/8 + w**3\/6 - 2*w + 9. Suppose a(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*n + 12, -u + 18 = 5*n - 10. Let i = 2 + 0. Let z(o) = 0*o**i + 5 - o**2 + 0 + o**3 - 7*o**2 + o. Give z(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6776\/42*(-13 + 177763). Round g to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r. Let d(o) = o**2 + o. Let t be d(1). Let z be t\/((-4)\/(-3))*-2. Sort -4, r, z in decreasing order.\nAnswer: r, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462978039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/10*669\/(-28990)*8\/18?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 2\/1577 (b) -6 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 3, a: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133891053 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:26 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -38781 and -38822 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -6*g**6\/5 + 11*g**5\/5 - 2*g**4\/3 + 8*g. Factor o(m).\nAnswer: -4*m**2*(m - 1)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55768+0.14\nAnswer: 55768.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/287 (b) 0.5 (c) -219 (d) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 45*q + 196. Let b be u(4). Solve b*c - 11*c = -22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h, -p - 5*h = 0. Suppose -3*u + p = 12. Let w(b) = b + 2. What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*w - 434*w - 721*w + 3 - 3 as b*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 4. Let b(s) = -2728*s + 1821. Let r(z) = -2*b(z) - 2*g(z). What is the first derivative of r(k) wrt k?\nAnswer: 5458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/11 - 6\/(-33). Suppose 10 = -b - y. Let h = b - -10. Is -4\/3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/360)\/((-9520)\/2016)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 398, 0.049, 0.2 in decreasing order.\nAnswer: 398, 0.2, 0.049, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Let r(y) = 2 + y**2 + 0*y**c - 1. List the prime factors of r(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + i + 9 = 16*q, -q - 5*i = 9. Let h(g) = -g**3 - 3*g**2 + 4*g + 5. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.241 - -273.759. Let d = -274.00001145 + w. What is d rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 5*s + 5. Let q be p(-6). Let j = 70 - q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 8*d**2 - 2*d + 3. Let k be h(-4). Let i(s) = 6*s - 60. Let w be i(k). Solve 0 = -3*b + w*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 3040.\nAnswer: 51680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:39 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 2706. Suppose o - 272 = -g. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n = -5132 + 2098 - 1739 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-79*47\/(-426995).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, 75.\nAnswer: -4, -2, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 98. Suppose -3*w + 3*k = i*k - 13, 5*w + 5*k - 15 = 0. Solve -3*y = 2*n + 2*n - 3, 0 = -w*n - 4*y + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 6*i**2 + 2*i**2)*(-2*i + 4*i - 4*i) + 8*i**3 - 7*i**3 - 3*i**3 to k + m*i**2 + o*i + q*i**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-297) + 4\/18 + (-6)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -8)\/(-2 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-218)\/2943 - (-569)\/27. Let d = 25 - 11. Calculate the highest common divisor of l and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -18, -62, -128, -222, -350?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-36))\/((-1)\/(-3))*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*y + 14 = 0, -29*a + 27*a - 14 = 4*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(1 + 2). Solve -b*v = v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399860277 is divided by 1893?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -64018606 - 17778\nAnswer: -64036384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.24. Sort 5, 7, v in decreasing order.\nAnswer: 7, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 25. Let n be f(-6). Suppose i + 2*m = 50 - 9, -4*i - 4*m + 176 = 0. Do n and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -87*i. Let j(w) = 38*w**2 + 11855*w. Give u(j(f)).\nAnswer: -3306*f**2 - 1031385*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-147)*(-1190)\/68?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-3)*z\/z**13*(z**(2\/9)\/z)\/(z*z*z*z**7))**(-49) assuming z is positive.\nAnswer: z**(10045\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72554414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-3) + (-4)\/6. Suppose 5*p - i = 3*p. Calculate the remainder when 10\/8 - 2\/8 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6040 = -376. Suppose 81*i = -23*i + 73112. Let z = a - i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + 75. Let w be ((-54)\/10 - -5) + 17\/5. Suppose 0 = -w*a + 5*a - o. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23747478 by 11873739.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536139, 1072276, 1608413, 2144550, 2680687, 3216824?\n\"Answer: 536137*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 745054116 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1224 - -12639. What are the prime factors of r?\nAnswer: 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pve when three letters picked without replacement from {v: 2, p: 1, m: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 187722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41084189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -15. Let z(p) = -2*p**3 + p**2 - 1. Let o be z(-1). What is the remainder when 0 + (3 - -20) + o is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -43. Calculate the remainder when ((-77)\/(-21))\/o - (-76)\/3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/40)\/((-78)\/104)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 4*z + 10. Let j be q(5). Suppose -28 = j*f - 19*f. Suppose -3*s = a - f*s - 43, 4*s = 16. What is the remainder when a is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnzrrmmzmzrzr. Give prob of sequence nmr.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -83\/2, 0, -120?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*b - 45*b - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25354\/11 + -2303. Let y(c) = -24*c + 2. Let f be y(0). Is x > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59074, -59081, -59088, -59095, -59102, -59109?\n\"Answer: -7*z - 59067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -12) + -2)\/1. Suppose 0 = 2*r + 3*s - f, 3*r + 5*s - 10 = 4. Solve r = -g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -15. Suppose 19*y - u = 24*y - 111, -3*y + 5*u + 61 = 0. Solve v*t = -y + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2155407*v - v**3 - 2155407*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2220449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679295 is divided by 334911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -4) + (19 - 21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.01, 0.8, 4, -1\/6, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let c be o(-2). Suppose 4*l - 4 = -p, 2*p - 3*l = -0 + 8. Suppose q - 6*q + p*q = 0. Solve q*n = c*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -46*n - 141, -693*w + 698*w + n = -8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134125897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, 2.1, 47, 1.5, -0.1, 1.4, 2\/17?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 4 (c) -1 (d) -1194 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -5*m**3\/3 - 2. Let u(f) = -216*f - 216*f + 423*f. What is y(u(o))?\nAnswer: -405*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**11*p)\/p*p\/(p*(p\/p**(-4))\/p)*(p*p**5\/p)**27 assuming p is positive.\nAnswer: p**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85 - 0.15. Let t = 3.3 + p. Let v = t - 1. What is the biggest value in -2\/13, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 216*n**2 - 420*n - 208 = 0. What is n?\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -0.7 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.95278 decades in millennia?\nAnswer: 0.0495278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4\/5*g**3 - 2\/5 + 6\/5*g + 6\/5*g**4 - 4\/5*g**2 - 2\/5*g**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*f - 162 = -442*f - 734. Sort -3, f, 1, 26, 5.\nAnswer: f, -3, 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:50 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640510 = -157*y + 332*y - 162*y. What are the prime factors of y?\nAnswer: 2, 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4365526*j**3 - 2*j**2 - j. Let z be x(-1). Suppose 0 = 2*g - 5*g + z. Let k = -155175 + g. What is k rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -177269*i**2 + 3*i - 1 - 6811458*i**2 - 5 + 638727*i**2. Let r be z(2). Round r to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017179789 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 + 60*l + 112 = 0.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 9*c**2 - 14*c - 8. Let j be q(7). Put 1, 4, j in increasing order.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 860 + -584. Suppose 0*k = -4*k + q. Suppose -2*n + 2*d + 50 = 0, n - k = -5*d - 20. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 + 56*t**4 + 14574*t**3 - 259*t - 2748 wrt t?\nAnswer: -40*t**3 + 672*t**2 + 87444*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykykyyy. Give prob of picking 1 y and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -v. Solve 5*r - 1 = -x + 5*x, v*x = -16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Suppose 3*g + 11 - 17 = 0. Let x(j) = 9 - 6 + g*j + 4 - 8. Determine 4*k(m) - 3*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206215981.\nAnswer: 313, 658837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -0.5. Let x = -561 + 512.3. Let h = x - -45.7. What is the third biggest value in a, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 3, l: 3, a: 1, u: 10}. What is prob of picking 3 l and 1 u?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 19*l - 78. Let j be (-16541)\/1529 - 4\/22. Give w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 2 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1229*-0.5529.\nAnswer: -679.5141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 6*k + 7. Let n be o(-3). Let a be -41*(1 - 0)\/(-1). Let q = a + n. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193310012 rounded to 4 decimal places?\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 7189*a**3 + 4*a**2 + 8265*a**3 - a**2.\nAnswer: 1076*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 23. Sort 1, -0.2, 0.4, o in increasing order.\nAnswer: -0.2, 0.4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829005?\nAnswer: 5, 965801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 827774?\nAnswer: -827768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, -7, 5, 1334, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1101106 and 109\/3303318.\nAnswer: 3303318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4)*3 - (2 + sqrt(1300)))**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, b: 2}. Give prob of picking 1 t and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(25\/(-12) + 2). Let f = y - 0. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 9, 0 = 4*i - 4*w. Suppose i*h = 2*h. Suppose h = 4*k + k - 105. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/((168\/7)\/6)*116\/261\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, h: 1, v: 1, b: 3, t: 4}. What is prob of picking 1 b, 1 v, and 2 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5016990.\nAnswer: 2, 3, 5, 11, 23, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose 99*m = 107*m + 48. Put m, d, -4, -3 in descending order.\nAnswer: d, -3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6627 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 47*d**2 - 9*d - 2. Let x be l(-2). Let y(r) = -204*r - r**2 + x*r. Let n(k) = 3*k - 3. Determine y(n(z)).\nAnswer: -9*z**2 + 18*z - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288*j + 1233*j = 2453*j + 941 - 5429 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/5 + (-32)\/10)*1. Let l be (6 - -3)*(-10)\/h. Suppose r + 265 = 5*x - r, 0 = x - 5*r - l. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -12 in decreasing order.\nAnswer: 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 266, 530, 794, 1058, 1322?\n\"Answer: 264*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i - 15. Suppose l = i*b - 14, -33 = -5*b + l - 9. Suppose -14 = -b*s + 21. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303*q**2 + 111*q wrt q.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v - 24 = 46*v. Let f(z) = 2*z**2 - 24*z - 8. Let i be f(v). Let u be 2\/(-3)*(i + 2). Solve 3*s - 5*l = u*s - 4, -5*l = -5*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 26*y = -380. What is the greatest common factor of 57 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51381781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 + 22884?\nAnswer: 22692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 7*u + 9. Let z be v(5). Suppose -17*p = -z*p - 10. Suppose s = 2*b - 5, -3*s - 11 = -5*b + s. What is the closest to b in -4, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-3)\/((-42)\/133))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a factor of 27631223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 874 divide 2626472258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*v - 379. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 2*k + 51, 0 = -4*a - 2*k + 224. What is the common denominator of 17886\/(-3740) - (-3)\/(51\/(-2)) and 1834\/(-528) + 10\/a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -46. Suppose 4*i + 2 = c*i, 3*i - 9 = -g. Suppose -5 = 2*f + g*o, 3*f = f + o + 15. Solve -4*h + 4 = -4*v, f*h - 1 = 2*h + 4*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28782 (base 9) to base 7\nAnswer: -111062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 (base 12) in base 2?\nAnswer: 11011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 37*s**2. Let x(k) be the third derivative of k**4\/24 - 472*k**2 + k. Give x(z(y)).\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-2.11.\nAnswer: 69.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3346 - -29187. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3053515 (base 6) to base 8.\nAnswer: -437527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353230 (base 7) in base 8?\nAnswer: 541747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45612167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4181 divided by 4.\nAnswer: -4181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -2\/3*s**2 + 0*s - 13 - 4\/9*s**3. Suppose r(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 9*a + 7. Let f(y) = y**3 - 4*y - 3. Let h(x) = -3*d(x) - 7*f(x). Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 + 3*w**2 + 3. Let o(a) = -6*a**3 + 5 - 2*a - 9*a + 4*a + 7*a + 5*a**2. Calculate 10*j(z) - 6*o(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1389\/9*3 + 12\/(-4). Suppose -z = -3*d - 2*r, 9*d - 4*d - r - 758 = 0. Calculate the remainder when d is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14133130 to the power of 1\/2, to the nearest integer?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let g(z) = -23*z + 17*z + 26*z + 3*z + 27*z. Let m(o) = -152*o. Let p(i) = -21*g(i) - 6*m(i). Give p(k(n)).\nAnswer: 138*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.051522 - -3.949622. Round w to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/4 (b) 164 (c) -2\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3614967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, t: 7, e: 2, a: 1, k: 2}. What is prob of picking 1 a, 1 k, and 1 t?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133.4 - 135. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 812 and 36590?\nAnswer: 14855540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1300 - -1024023130?\nAnswer: 1024024430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1442, -1439, -1436, -1433, -1430, -1427?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -418.632 - -422. Let w = -3.3 + q. Let j = w + -0.06919. What is j rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 90, 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175428181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:13 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 93*n = 95*n, 0 = -2*l - 3*n + 10. Solve -3*m = -4*o + 7*o - 27, l*m = o + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 times 1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3)*(3 - -9))\/2. Find the first derivative of -3 + 22*w**h - 1 - 29*w**4 wrt w.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = -5*m - 3, 3*a - 4*m - 30 = 0. Solve a*c = 5*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + 4. Let c be p(0). Suppose -c = -n - 0*n. Suppose n*g = -0*g + 128. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-36))\/1)\/((-3)\/18)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24956 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 33*i + 0.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 + 4\/14. Let g be 3*(-8)\/(-6)*(-10)\/(-20). Factor 0 + 4\/7*o - b*o**g.\nAnswer: -2*o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 12 + 30. Suppose 2*t + 12 = q*t. Solve 2*k = y + 6, 18 = t*y + 6*k - 3*k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*w - 105. Let f = w - 121\/4. Let p(d) = -d**3 + 7*d**2 + 7*d + 7. Let o be p(8). What is the nearest to o in f, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -5*c - 16*c. Let w = 46 - 33. Let f = -13 + w. Solve 4*p + 22 = -q + 5, f = -5*q + 4*p - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-90)*5\/(20\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6046511387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*u + 1. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -724 - -734. Solve -2*w + 4 = 5*h, 4*w = 9*w - 2*h - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5287675 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let u(z) = -z - 22. Let y(t) = -5*t**2 + 2*t - 1. Let p be y(-2). Calculate the smallest common multiple of u(p) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2049997 - (2 - -1)*1. What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55686 and -902?\nAnswer: 50228772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10))**(-5)*(z\/(z\/z**(-7)))**(-2\/75))**(-21\/5) assuming z is positive.\nAnswer: z**(-26348\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - -5) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -4*(-6)\/4. Let c = y - -21. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1600639156 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 47 + 4. Let q = j - 15. Suppose 5*c = a - 34, 2*a - 3*c - q*c - 58 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1618 by -34.\nAnswer: 809\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703953.2ml in litres?\nAnswer: 703.9532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030847 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-24\/7)*m*m\/(m\/(m\/(m\/(m**5*m))))*m assuming m is positive.\nAnswer: m**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*j**3*x**2*z**2 - j**3*z**2 + 74*j**2*z**2 - 2*j*x**2*z**2 - x**2*z**2 wrt j?\nAnswer: -510*x**2*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let p(l) = l**2 + l - 3880. Give k(p(z)).\nAnswer: -z**2 - z + 3880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 408. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o. Let n(u) = -3*u. Give -5*m(f) - 14*n(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 28 + 88 + (2 + -3 - (0 + 12))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2286080519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016771286 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1800814688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:37 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-6)*(0 + 2). Let q be 2\/(3 - 21\/v). Solve 2 = g + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127\/424 - -4\/53. Let u = 7 - 0. Let x = -10 + u. Which is the second smallest value? (a) x (b) m (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d - 1136 + 745 - 78*d**2 - 776 - 61*d**2 - 956 wrt d.\nAnswer: -278*d - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7683, 7693, 7715, 7749, 7795, 7853, 7923?\n\"Answer: 6*o**2 - 8*o + 7685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 3aa8?\nAnswer: 3aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 39*r**3 + 111*r**2 + 109*r + 36.\nAnswer: (r + 1)**3*(r + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - n**2 - 4*n + 4. Let t be f(-4). Let y = 1318\/7 + t. Solve 0*q**2 + 4\/7*q - 4\/7*q**3 - y*q**4 + 2\/7 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322392 and 9518544?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1475, 984, 5081, 10816, 18189, 27200?\nAnswer: 37849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 33*a**2 + 4*a - 122. Let x be f(33). Suppose 47 = -3*q - 3*c + 68, 0 = -5*c + x. Solve -q*z - 4*n = -3 - 1, -3*z - 3*n = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q + 4. Let t(c) = 41*c - 7. Let b be (-378)\/98 + (-240)\/(-280). Give b*t(w) - 5*n(w).\nAnswer: -23*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:07 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 <= -3\/218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3*u**5\/20 + 9*u**4\/8 - 9*u**3\/4 + 9. Factor s(h).\nAnswer: -3*h**2*(h - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 4*j**3 - 65 - 7*j**2 + 65 - 16*j**2 to the form z*j**2 + l + y*j**3 + w*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87102, -87103, -87104, -87105, -87106?\nAnswer: -87107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - (-46)\/8. Let l = 399 + -394. Suppose y = l*g - 9. Solve 0 = -m - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 257 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus -830.19612899562?\nAnswer: -829.49612899562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/h)**(6\/7) assuming h is positive.\nAnswer: h**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, b: 6, g: 2, x: 3, p: 2}. What is prob of picking 1 g, 1 h, and 1 p?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3811913*w. Let b(l) = -2*l**2. Give u(b(i)).\nAnswer: -7623826*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 8*i**2 - 4*i. Let n be q(6). What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 59 - (-6 - -30) - (-5 - -16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 8 = 0. Suppose 0*k - 22 = 3*a + u*k, -3*k = a - 2. Sort -5, 5, a.\nAnswer: a, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 12) to base 5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 362.8 and -3.9.\nAnswer: -1414.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 4*n**3 + 0*n**3 + (-1 + 1 + n)*(-3*n**2 + 5*n**2 - 3*n**2) + (6*n + n - n)*(-3*n + 3*n + 6*n**2).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20950 (base 10) in base 4?\nAnswer: 11013112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -213*i - 3567. What is a(-22)?\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10501445 - 3?\nAnswer: -10501451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 138813013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231117*b**3 + b**2 + 716535*b - 2 wrt b.\nAnswer: 1386702*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from sssssssskksssssssssk?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 40, 143, 330, 625, 1052?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = l + 2*l + 42, 4*y + 154 = 2*l. Let o be 1 - (y\/(-15) - 2). Which is the second smallest value? (a) o (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 8*p + 19 + 34 = -4*p - 0*p, 5*p + 15 = 0 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890 + -852 - (0 + 36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 873*d + 3580 = 877*d. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963991?\nAnswer: 1319, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10269968 is divided by 690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 132*k**6\/5 + 7*k**4\/12 + 11*k**3\/2 - 1454*k. Find the third derivative of y(c) wrt c.\nAnswer: 19008*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 4*t**3 + 2507*t**2 - 136700*t wrt t.\nAnswer: -20*t**3 + 24*t + 5014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.467953 + -13\nAnswer: -13.467953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 + -202. Suppose 63 = -14*r + 301. Calculate the remainder when w is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*d + 35 + 33 - 55 as l + z*d and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4696 - 2306. Let g(c) = -4779 + b + 2389 + 20*c. Let u(z) = 4 - 2*z - 4. What is g(u(p))?\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8124, -8441, -8760, -9081, -9404?\nAnswer: -9729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 64\/36 - 29\/(-9). Let s(x) = -5*x**3 + 2*x**3 + 2*x**3 + x**2 - 2 + 2*x. Let l be s(0). Put -1, l, -13, d in decreasing order.\nAnswer: d, -1, l, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/40 + 11*t**3\/3 - 37*t**2. Let z(l) be the first derivative of s(l). Let h(y) = -15*y. Determine h(z(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 32 = -5*i. Let z = i - -22. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -11*b**5\/270 + 35*b**4\/108 - 2*b**3\/9 + 62*b**2. Determine i so that d(i) = 0.\nAnswer: 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1465 + 3768 = 0. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 + 40*x + 5. Let a be j(0). Suppose 4*p = p + 60. Let l be -1 - (-1 + 1 - 4). Solve 0 = 3*f - 4*b - p + a, 0 = l*f + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w. Let t be -3 - (-15)\/4 - ((-14)\/56)\/1. Let z(a) = -3*a + 4. Let j(c) = -c + 1. Let g(h) = 4*j(h) - z(h). What is t*b(r) - 6*g(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - s**2 - s + 11. Let v(g) = -g**3 + g - 5. Let b(y) = -3*h(y) - 7*v(y). Let p be b(-4). Let r = -25 - p. Round r to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q + 13. Let k be u(-10). Suppose -4*x + w = -k, -5*x - 26 + 171 = -5*w. Let s = 34 - x. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16568605 (base 10) to base 2\nAnswer: -111111001101000100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14486 + 16086 = -80*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Product of 10.84 and 1051.\nAnswer: 11392.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -686*d + 682*d + 435215, 5*d - 290127 = -2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1479*m**2 + 1479*m**2 + 11539*m**3.\nAnswer: 11539*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6624.837m?\nAnswer: 6624837000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.3 (b) -1\/8 (c) 11 (d) -1901 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.99941 + -85. Round c to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 58*t - 936. Calculate the smallest common multiple of 324 and t.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 30*w**2 - 13*w + 18. Let r be (3 - 10)*1\/3*3. Is y(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 0, 5, 16, 99, -5 in descending order.\nAnswer: 99, 36, 16, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 4, 171\/61?\nAnswer: 171\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3009.8 + -3010. Which is smaller: -116 or y?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*y = -160*y + 18. Let n = 2 - 1. Sort n, 4, y in decreasing order.\nAnswer: y, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10)*(15\/(-10) - 7\/(-2))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 34. Let h = 0.7 - 4.7. Which is the smallest value? (a) -3 (b) h (c) 4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.2 (c) 239 (d) 18 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 1, o: 3, k: 1}. What is prob of sequence okot?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304004745?\nAnswer: 5, 113, 2307973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122001104 (base 5) in base 12?\nAnswer: 23a79b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 31 = -3*k, 62*d = 22*k + 57*d + 71 - 323 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - 706*o + 1408. Determine a(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 - 13*l + 26 + (2 + 3 - 6)*(-l - 5*l + 0*l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*s - 1 = -7, 8 = -2*f + 4*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9603? (a) 0 (b) 2\/9 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 3\/11, -0.017, 0.3 in descending order.\nAnswer: 15, 0.3, 3\/11, -0.017, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -754, 4.4, 3\/2 in descending order.\nAnswer: 4.4, 3\/2, -0.2, -3, -754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1459 - 27*n**2 - 11*n**2 + 1459 + n in the form r + i*n + s*n**2 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424225446?\nAnswer: 2, 3, 17, 983, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from vjvvvvuvvvv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222920 = -26*p + 223830 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 + 14*v**2 - 177*v**3 - 13*v**3.\nAnswer: -190*v**3 + 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -15 (b) 0.3 (c) 1\/3 (d) -2\/7 (e) 0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9165, -12485, -15805, -19125, -22445, -25765?\nAnswer: -29085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 8*k. Let u be f(4). Sort 1, -4, u in ascending order.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-48) - (-9)\/36. Let j(d) be the third derivative of f*d**3 + 4*d**2 - 1\/24*d**4 + 0*d + 0. Determine j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -r + 5, -2*t + 4*r - 10 = -t. Suppose 0 = 5*s - t*s + 75. Is (-128)\/(-5) + (-10)\/s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/11 - 12278*h\/11 - 4409096\/11 = 0?\nAnswer: -5756, -383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 17 = 2*a, 4*p + 75*a = 76*a - 32 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 4639031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 1 + (-1780)\/(-14) - (7 - 8)\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*g. Suppose -k - 23 = g*w, -4*w - 5 = 7. Is (-2)\/11 + (-145)\/k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 7*o - 2. Let f be l(-6). Let q be 1*7 + f + 5. Suppose 5*x = -3*n - n + 100, q*n = -2*x + 28. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 1. Let c be a(1). Let i(t) = 5*t**2 - 2*t + 2. Let m(n) = 26*n**2 - 11*n + 11. Let h(s) = c*m(s) - 11*i(s). Let l(x) = 7*x. What is h(l(j))?\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1681\/50 - 337\/10. Which is the biggest value? (a) 2 (b) 6\/23 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nennlnnnnlnmnn. What is prob of sequence nm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/3, 4, 1, -5, -14.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -0.02 (c) 3 (d) 3\/11 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k + 78*k = -5 - 15. Let l = 0.7 - 1.7. Which is the nearest to -2? (a) -2\/3 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 417*n**2*w - 2*n**2 - 14*n*w - n - 20284*w wrt n.\nAnswer: 834*n*w - 4*n - 14*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 46528*u + 74025840 = 0. What is u?\nAnswer: -9730, -1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m. Let f(b) = 4*b**2 + b + 1. Let c(d) = 9*d**2 + 6*d + 6. Let l(z) = -c(z) + 6*f(z). Give v(l(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10816*t**2 - 4924*t**2 - 32853*t**2 - 50320*t**2 - 41445*t**2.\nAnswer: -118726*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 2. Let o(r) = -1. Suppose 0 = -14*t + 5*t + 18. Give t*o(s) - y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - m**2 - 5*m**2. Let t = -82 - -84. Let k(x) = -10*x**2 - 8*x**2 + 2*x**t + 24*x**2. Calculate l(k(f)).\nAnswer: -192*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-6 + -1))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 3482852*w\/7 - 6965688\/7.\nAnswer: -4*(w - 870711)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 - -114. Calculate the smallest common multiple of z and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -819*p + 10016. Let b be g(12). What is the greatest common factor of b and 6862?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1899, 3300, 4701, 6102?\n\"Answer: 1401*i + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 7*k**6\/360 + k**5\/8 - 11*k**3\/6 - 83*k**2. Let h(d) be the first derivative of a(d). Let n(t) = -t. What is n(h(j))?\nAnswer: -7*j**2 - 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x**2 - 2*x + 7. Determine t(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 770824, 770024, 769224, 768424?\n\"Answer: -800*d + 771624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 8211?\nAnswer: -8217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 68, -1, 2, -995.\nAnswer: -995, -4, -1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1207*z**5 - 7*z**2 - 32.\nAnswer: -72420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1, 2 in descending order.\nAnswer: 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 k, and 1 j when four letters picked without replacement from jtffrrkkxtjrftf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126123123 rounded to three dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*p**4 + 8*p - 14*p**4 - 1 - 16*p**4 - p**3 - p**2 to the form w*p + x + b*p**4 + o*p**3 + l*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u. Let y = 6 - u. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -196*p + 198*p - 4*l, 0 = 4*p + l + 6. Sort p, -38, 1 in decreasing order.\nAnswer: 1, p, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2 - 20298654*r + 103008838552929 = 0.\nAnswer: 10149327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 19. What are the prime factors of h(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1155528 divided by -24\nAnswer: -48147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:45 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 903*b - 11. Let z be v(-2). Let s = z - -36347\/20. What is the common denominator of s and -1\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:21 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -396 and 1155.75?\nAnswer: -457677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*v - 4, 0 = 4*v + 2*f + 1 + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37192*1\nAnswer: -37192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 8. Let d(b) = -b + 3. Let t(k) = -8*d(k) - 3*r(k). Let p(m) = 7*m**2. Determine t(p(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 2 + -8 + 3. Let w be m*(-1 - 2*-3). What is the third derivative of -3*t**2 - 2*t**5 - 2*t**w + 3*t**5 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12289128, 1, 2, 0.5, -1 in descending order.\nAnswer: 12289128, 2, 1, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*q - 1, -9 + 11 = -5*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1005 divided by 15.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 957 + -942. Solve -2*b = b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(40\/7)*((r*(r\/(r\/(r*r**2*r)))\/r)\/r*r)**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 555\/(-35)) + -11 - (-97)\/(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) -35 (b) 1\/2 (c) -150 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:21 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995*x + 991*x - 2008*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349 (base 13) to base 2.\nAnswer: 1000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1954 - 972 - 977)*(4*t - 2*t - t) to g*t + i and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970 is divided by 497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:27 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712878 take away 4?\nAnswer: 2712874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329*c - 29399 - 16108 + 8766 = 31038 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17288, -17379, -17470, -17561, -17652, -17743?\nAnswer: -17834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47798627?\nAnswer: 47798627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of (-3 - 1) + 1146 - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/7 - 24*v**2\/7 - 12*v + 432. Factor f(s).\nAnswer: -3*(s + 2)*(s + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218173852.\nAnswer: 2, 13, 17, 246803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-336)*(3 + 5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -54.9 and 3.\nAnswer: -51.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5754343514 - -0.1.\nAnswer: 5754343514.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8679 times 1291.5?\nAnswer: 11208928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 502*y**2 - 4*y + 30. Calculate j(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 minus -0.2?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quxcccu. What is prob of sequence cu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*j + 24 = 17, -2*k - 3*j = -4. Put k, 63, 4, 0 in descending order.\nAnswer: 63, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**3\/5 - 36*v**2\/5 + 774*v\/5 - 324\/5 = 0. What is v?\nAnswer: -9, 3\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 2)\/(-7)*(1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 - 2492631*s**2 - 14955867*s - 22433841 = 0.\nAnswer: -3, 830883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.067 + 0.167. Which is the nearest to o? (a) -5 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. Let v(k) = -3 - a + 2*k + 7*k + 4. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6 + 2, 209 = -5*v + n. Suppose -3*s - 2*s + 230 = 0. Let z = v + s. Solve 2*p - z = 0, 5 + 3 = -3*d + 4*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*j + 10, -141*l - 13*j = -142*l - 27 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.157815l?\nAnswer: 8157.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6546 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -2*x. Let s(m) = -174*m - 132. Let c be s(-2). What is the highest common divisor of x and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*s - 2, 5*s - 9*s = 7*v - 38. Solve -s - 9 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.098743813 + -25.098810313. Let n = d - -25. Round n to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 25026*p + 50040.\nAnswer: 3*(p - 8340)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 315.7 times -2890\nAnswer: -912373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.2, 0, 1\/2, 58, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 863105.3 centuries?\nAnswer: 86310.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11294980 divided by -103\nAnswer: 109660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66036760 divided by -7652.\nAnswer: 8630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0534 and 876.\nAnswer: 46.7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2744 + 0.6744. Which is the closest to 1? (a) 17 (b) g (c) 1\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 449191.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4466 + -4328. Sort -8, w, -5 in descending order.\nAnswer: w, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19 - 23 = 0. Let l = o - -33. Suppose 5*k - l = k. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -124?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18150*f + 665500 + 165*f**2 + 1\/2*f**3.\nAnswer: (f + 110)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -84, -171, -336, -603, -996, -1539?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 5aa21?\nAnswer: 5aa2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**4 + 768*p*x - 184*x - 1 wrt p?\nAnswer: -8*p**3 + 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762364.\nAnswer: 2, 190591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*c - 9 - 1 = 0, 3*n - 21 = 3*c. Is n at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54349000 to the nearest one hundred thousand.\nAnswer: -54300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 622*d**2 + 3176*d - 46. What is i(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1581, 13338, 45681, 109014, 213741, 370266, 588993, 880326?\nAnswer: 1254669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)*o**6*o)\/((o\/(o**6*o))\/(o*(o*o\/(o*o\/((o*o**(-4)*o)\/o*o)))\/o)) assuming o is positive.\nAnswer: o**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 238 = 118 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -622, -1242, -1860, -2476, -3090?\n\"Answer: c**2 - 623*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q\/q**(-2\/9)))\/q)\/q*q**(-5\/7)*(q\/(q*q\/(q\/(q*q**(-7)))))\/q**(-14) assuming q is positive.\nAnswer: q**(886\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzfr. What is prob of picking 1 f and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-16) - 23\/(3496\/1539).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5885\/1070)\/(11\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 1. Sort 5, 4, m.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -107, -25, -17 in increasing order.\nAnswer: -107, -25, -17, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*c + 2*i - 989, 0 = -5*c + 4*i + 1179. Let y = c + -228. Suppose -9 = 2*o - 5*o. What is the remainder when y is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6)*-1)\/((-30)\/220)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:48 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z + 284. Let l be g(-26). Put 4\/7, -4, 2, l in decreasing order.\nAnswer: 2, 4\/7, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6275, 11735, 17193, 22649?\n\"Answer: -d**2 + 5463*d + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 27. Let j = -10 - s. Let k = -3 + 8. What is the remainder when k is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2 - 1\/2. Suppose -2*f = -5*q + 389, 3*q - 304 = -q - o*f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m + 4. Let a be f(-2). Suppose a*l = l + 10. Solve -4*n + l*s = s + 23, -6 = -2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:13 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwwf when four letters picked without replacement from {f: 3, w: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7883 - (-5 + 7)\/(-1). Suppose -f = 33*c - 38476. List the prime factors of c.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-6)*((-44)\/8 - -10). Suppose x*o = 34*o - 15000000. Round o to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58637.44586 rounded to the nearest 10?\nAnswer: -58640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, -10, -7, -4, 79, -0.06, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.172 - -0.128. What is the nearest to 1\/7 in 4, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-6) - (-1 - 10). Suppose 2*c + 5*m = -20, -3*c = -2*c - 4*m + r. Let n(f) = f**3 + 9*f**2 - 9*f + 9. Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/((sqrt(48)*-1)\/sqrt(12)))\/(2*(sqrt(6) + sqrt(18)\/sqrt(3)) - (sqrt(6) - 2*sqrt(6)*6)))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - 23*z + 28. Let m(s) = -6*s**2 + 24*s - 24. Let v(j) = -3*b(j) - 2*m(j). Find h, given that v(h) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55754 is divided by 27869?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(3\/5)\/(k**(-17\/5)\/(k**(-4)*k*k)) assuming k is positive.\nAnswer: k**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**22\/t**(6\/5)*(t\/(t\/((t\/((t\/(t**16\/t))\/t))\/t*t)*t))**47)**(-1) assuming t is positive.\nAnswer: t**(-3629\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 12\/491, -8, 0.1, -0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96\/5 - 352\/15*p**2 - 534\/5*p.\nAnswer: -2*(11*p + 48)*(16*p + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*v - 3080 = 865 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:57 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1280147507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:56 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/11)*p*(p\/(((p*p**(1\/12))\/p*p)\/p))\/p assuming p is positive.\nAnswer: p**(157\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 356, 347, 334?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 148. Factor 4\/3*k + 5\/3*k**3 + 8\/3*k**y + 0 + 1\/3*k**4.\nAnswer: k*(k + 1)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -150*k - 5378. Calculate the remainder when 722 is divided by h(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*s + 36, 0*s - 6 = -r + s. Suppose -w + 50 = j, -7*j + 4*j + 100 = 2*w. What is the lowest common multiple of w and r?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260985 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 z**2\/6 + 1755*z\/2 + 227788\/3 = 0. What is z?\nAnswer: -5177, -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -117 (c) -0.4 (d) 347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - v**3 + 0*v**3)*(-4*v + 0*v + 3*v) + 0*v**4 + 0*v**4 - 3*v**4 - 4*v**4 - v**4 + 6*v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - (-6 + (15 - -265)). Sort -2, o, 10 in descending order.\nAnswer: 10, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8\/5, 6, -0.3, 2\/3, -1856, -1\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3522*-135627\nAnswer: 477678294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*g + 4397 + 301 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-99) + (-4)\/(-22). Suppose d = -2*j + j + 5. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3182276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s + 17 + 6 - 3*s**2 + 2*s**2 - 7. What is the tens digit of v(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11209*p - 617966 - 267545 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let w be g(-8). Does 4 divide w\/6*(1 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429 = 60*p - 649 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 8*c. Let s be f(-6). Let o = -4 + s. Let h = -8 + o. Solve h*l - 1 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 10. Suppose -3*x - 24 = 7*d - 4*d, x = -4*d - 2. Calculate j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -2\/7 (c) -25 (d) 136 (e) 0 (f) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.8. Which is the second smallest value? (a) -2\/7 (b) -0.09 (c) u (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9691*g - 267804 wrt g.\nAnswer: 9691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(396) - sqrt(44)) - (4 + (0 + sqrt(44))**2)) + 2 + (1 + sqrt(176) - sqrt(176)) + sqrt(176))*2.\nAnswer: -90 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x**2 - 21. Let o(r) = 3*r**2 - 4. Calculate -2*c(b) + 11*o(b).\nAnswer: 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*q = -2*q - 7, 0 = 2*v + 2*q + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 7. Let r be c(7). Let k = 13 - r. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**5\/10 + h**4\/12 - 2*h**3\/3 + h**2\/2 - 2*h - 4. Let o(c) be the first derivative of f(c). Factor o(u).\nAnswer: (u + 1)*(2*u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9616 is divided by 9523?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + -17.16. Let i = v + 28. Let q = i - 10.9865. What is q rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 106550*d - 106555 = 0 for d.\nAnswer: -21311, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 548.8477ms?\nAnswer: 548847.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73755 - 5838?\nAnswer: 66816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + w + 1. What are the prime factors of n(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163010952 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1792.294 + -1796. What is g rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1425 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 98 = 3*c, -2*c - 2*c + 3*z + 159 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8369, 8368, 8365, 8360, 8353, 8344?\n\"Answer: -z**2 + 2*z + 8368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 12*w - 19 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3097 and 27058?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((10\/6)\/(-5))\/((-30)\/45). Let h(m) be the second derivative of 4*m - y*m**2 + 0 + 0*m**3 + 0*m**4 - 1\/5*m**5. Differentiate h(w) with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00149014351 rounded to 5 dps?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 36*n + 20*n - 8 = -6*j - 62, -j + 8*n - 32 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 8 = x, -2*i + 7 + 5 = x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 - 3389673*f - 2196751 wrt f.\nAnswer: -6*f**2 - 3389673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27481 - 25*g**2 + 27481.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sztzmmzmsmz. Give prob of sequence ss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17374 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361888*z**2 - 1909569 wrt z.\nAnswer: 723776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4866.2 and 3130?\nAnswer: -15231206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 182, -1\/2.\nAnswer: -1\/2, -0.3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i**2 + 4 - 10 - 9*i + 20*i**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 2 - 3)*(-13 + 20*k + 13) to r + s*k and give s.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 3*w - 3. Let t(p) = -5*p**2 - 4*p - 4. Give -3*t(h) + 4*x(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293549 is divided by 328.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -1, 27, 273, -3.\nAnswer: -4, -3, -1, 4, 5, 27, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00548279 to five dps.\nAnswer: 0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -311432 (base 5) to base 14\nAnswer: -3a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*q - 18. Solve -j = -q*c - 13, 4*j + 0*c - 2*c = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 h when four letters picked without replacement from hhjjjhjjjhj.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 - 103*n**4 + 2497*n**3 - 323*n**2 - 6609*n - 3690 = 0.\nAnswer: -41, -1, -3\/4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 15*j. Let h be 2 - 14 - 4\/(-2). What is the tens digit of y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 3, w: 1, j: 4}. Give prob of picking 3 j and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93958?\nAnswer: 2, 109, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 + 3 = 0. Let j be ((-12)\/15)\/((-2)\/z). Sort 3, j, 1.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3887\/344 - 29\/43. Calculate the common denominator of 1\/6*(-27)\/(-2) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 + 0*n**2 + 3 + 2*n**2 - 3 + (-2*n + 3*n - 2*n)*(3*n + 4*n + 0*n) + 4*n**2 - 2*n + 2*n in the form d*n**2 + j + s*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -428, 51, -14, 19, -11.\nAnswer: -428, -14, -11, 19, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 12. Let k(u) = -1. Let i(j) = j**2 + j + 1. Let n be i(0). Let a(l) = n*h(l) + 15*k(l). What is the remainder when a(8) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -4 (c) 5 (d) -319 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 24815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1050572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 692*i**2 - 4. Let q(h) = 260186*h**2 - 1503. Let v(l) = 4*q(l) - 1503*x(l). Let a(r) = -5*r. Calculate a(v(f)).\nAnswer: -3340*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5845194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r**2 - 2*r. Let m be v(2). Let l be (m\/20)\/(3\/30). Solve -l = -4*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let n(m) = -2*m + 657. Calculate j(n(d)).\nAnswer: -8*d**2 + 5256*d - 863298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -135, 2, -5, -18, 4, -59 in ascending order.\nAnswer: -135, -59, -18, -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72084 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4863280 to the nearest integer?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984*c = -1969*c - 60 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -217, -600, -1345, -2572?\nAnswer: -4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(5*d - 2*d - d) + (7 + 8 - 2 + 1 - 1 + 1 + (-5 + 3 + 4)*(-3 + 1 + 4))*(3*d + 4 - 4)*(3 - 3 - 3).\nAnswer: -164*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2709)\/(-5117)*10\/(-45).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155540)\/(-3030)*6\/7.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122024 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123104 + 4?\nAnswer: 2123113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 247 and 26870\/109 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31751, -61503, -91247, -120983, -150711, -180431, -210143?\n\"Answer: 4*i**2 - 29764*i - 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 3*y**2 + 5*y + 5. Let f be v(-2). Suppose 0 = w + z + 1 - 2, -f = -4*w + 5*z. Let a(o) = o**2 - 7*o + 1. Calculate a(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddddddwwddydyddd. What is prob of sequence wyd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 2 (c) 0.02 (d) 4.56 (e) 0.1 (f) 332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.09307856 to zero dps.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2)\/(4 - 5). Let a be 6\/(-10) + (-13)\/5 + y. Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11e97e (base 16) to base 8.\nAnswer: -4364576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -677212*l**5 + 75*l**3 + 169542712*l**2?\nAnswer: -40632720*l**2 + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 13\/2 (b) -0.1 (c) -0.4 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84413046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/(-21) - -3*13\/63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*b + 22569 + 6792 - 1413 = -8270 for b.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 10*j**2 + 113430 - 113430.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92350000 rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 + -212. Let j be (-5)\/30*-16*(-3)\/k. Sort 1, j, -1 in descending order.\nAnswer: 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27489 = -x + 13195. Suppose 2*m - 33316 = x. Round m to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5805\/(-90) - (-1 - (-3)\/2). Sort 5, n, -2, 4 in ascending order.\nAnswer: n, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 - 25*m**2 - 24*m + 2. Let a(y) = y**3 + 8*y**2 + 8*y - 1. Let b(o) = 7*a(o) + 2*f(o). What are the prime factors of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 10 = 0, t - 4*p + 20 - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:22 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1\/5))*o*o*o)\/(o**(3\/8)\/o*o))**(-19\/2) assuming o is positive.\nAnswer: o**(-1843\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 118248 = -27*h. Suppose 3279 = 28*p - h. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392467633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 - 14*x + 12. What is the remainder when 752 is divided by u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 241*w - 10766. Determine u(43).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from {k: 6, j: 10, q: 2}?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 + 412. Suppose 5*t - p*s = 6388, -t + 1157 = -4*s - 111. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -93.1 (b) -5 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 10058*r\/9 + 20140\/3.\nAnswer: -2*(r - 5035)*(r + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 207197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16389, -16374, -16359, -16344, -16329, -16314?\n\"Answer: 15*x - 16404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*u**2 + 2*f**2*u + 1590187*u**4 - 2486043*u wrt u?\nAnswer: 4*f**2 + 19082244*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) 1\/4 (b) 10 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273 + 288. What is the third biggest value in -1, 4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968676 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283170*z + 283168*z + 2*w - 28 = 0, -z - 3*w + 38 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 13*r + 6. Let t be g(4). Suppose -2*w + 4*s = -18, -t*s = -5*w + 16 + 13. Solve 4*p = -12, 2 = 4*k + w*p + 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/483 and 62\/9177.\nAnswer: 9177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 261. Let i = l - 203. Is (i\/(-6))\/((-6)\/(-9)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2 = -2*u - 3*g, -4*g - 41 = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*m + 5. Suppose -5 = -7*h + m*h. Solve -4 = n + h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3\/14*q**2 - 6*q + 1\/7*q**3 + 0 + 1\/28*q**4. Factor a(o).\nAnswer: 3*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -252.8120705 + -16.1877165. Let u = -269 - g. Round u to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 571662*y**2 + 291071 wrt y.\nAnswer: 1143324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 + 27*n**5 + 17*n - 2*n**3 - 30*n + 35 + 15*n wrt n.\nAnswer: 540*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.030321 and 0.4?\nAnswer: 0.0121284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 146*m - 5. Let l(g) = -73*g + 3. Suppose -3*q - 4*z = 23, -329*z + 334*z + 25 = -3*q. Give q*l(b) - 3*a(b).\nAnswer: -73*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a decade in months?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -10. Let t = a + -10.1. Let s = 0.1 + t. Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195934760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2 + 11*p + 11. Let c(g) = -g**3 - 11*g**2 + 7*g - 50. Let k be c(-12). What is z(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/5*(-11 + 350\/30). Solve 0 = -132*x + 127*x + h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)*((-76)\/(-48))\/19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 60*x + 27*x + 21*x - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/(-7) + (-2)\/(-7). Let f(y) = -79 + 32 + 36 - 107*y - 814*y + 174*y. Is f(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 + 73*p**2 - 73*p**2 + (2*p**5 - 2*p**5 - p**5)*(1 + 2 - 6) + (4*p**2 - 2*p**3 - 4*p**2)*(-39*p**2 + 96*p - 96*p).\nAnswer: 86*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 + -148 + 65\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - z**2 - 15*z - 3. Let v(s) = -4*s**3 + s**2 + 52*s + 5. What is 5*a(b) + 2*v(b)?\nAnswer: 2*b**3 - 3*b**2 + 29*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u = -65*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 divided by 327?\nAnswer: 955\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*b - 15, -5*b - 1072 = 4*m - 1085. Factor 8\/7*r**3 + 12\/7*r + 0 + 22\/7*r**m - 2\/7*r**4.\nAnswer: -2*r*(r - 6)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -11 - 1. Suppose m = -o + 8. Suppose 5*c - j = -0*j + 608, -487 = -o*c + j. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 575814 and 448.\nAnswer: 128982336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126070 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 33. Let r(w) = 2*w - 34. Let u(x) = 3*c(x) - 2*r(x). Let l be u(17). Solve p = -l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7842798.\nAnswer: 2\/3921399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 248 = -22*c. Suppose -c*n + 32*n - 15 = 0. Let q = 6 + -4. Solve -n = k + q*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*x - q, -8*x + 2*q - 8 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.9938 + -60. What is w rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 199 + 382. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 48*z - 47*z, -2*r - 17 = 2*z + 1 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -30*q. Let s(v) = 128*v**2 - 10*v + 10. Let k(h) = 5760*h**2 - 448*h + 448. Let f(n) = -5*k(n) + 224*s(n). Determine c(f(l)).\nAnswer: 3840*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 0 - -1*26. Let t be (-10)\/4*(616\/40 - 17). What is the common denominator of 1\/(-8)*t*(-22)\/z and 11\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by -18.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - -13541?\nAnswer: 13501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*f**2*m**2 - 9*f**2 + 394*f*m**4 - 2*f*m + 13*f + 4*m wrt m?\nAnswer: -18*f**2 + 4728*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12216 + -531?\nAnswer: 11355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -443a108 (base 11) in base 6?\nAnswer: -434530402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -224\/3. Let w = -7.3 + 7. Let x = 2.2 - 2. What is the closest to r in x, -1\/3, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-101)\/(-10))\/(10\/90). Let t = d - 179\/2. Let r(k) = k**2 + 13*k + 12. Let o be r(-12). Is o equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48384 and 5561472.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**5 + 1734*k**2 + 9600*k.\nAnswer: 120*k**3 + 3468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 2 s when four letters picked without replacement from {l: 1, s: 2, g: 1, k: 1, w: 5, v: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, 1513 in descending order.\nAnswer: 1513, 35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -199\/4 (c) 475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 511789 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273967, -273966, -273965, -273964, -273963, -273962?\nAnswer: -273961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51538 rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 47*u**3 + 2867*u**2 - 40*u - 2573. Calculate m(-61).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/14)\/(-2)*7. Find the first derivative of 41 - t*j**4 - 6*j**4 + 7*j**4 - 19*j**4 wrt j.\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 480 - -4?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 144*f - 1255. What is k(12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5230 and 2420444?\nAnswer: 12102220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2559481 is divided by 42658.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**5\/20 + 9*t**4\/16 + 7*t**3\/4 - t**2\/8 - 15*t\/2 + 194. Let h(k) = 0. What is k?\nAnswer: -5, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-24 + 6\/3). Suppose -8 = 4*u - g, n = -3*u + 16. Solve 2*l + p + 18 = n, 1 = -l + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292829, -292620, -292411, -292202, -291993?\nAnswer: -291784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(3 - 4 + 3)*(k - 2*k - k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1 + 2 + 0). Solve 2*a**2 + 4*a**5 + 3*a**5 + 0*a**2 + 9*a**n + 11*a**3 + 7*a**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2257 (b) 0.1 (c) 2\/5 (d) 0.3 (e) -6 (f) -2 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 13*d**2 + 11*d**3 + 10*d**2 + 5*d**2 in the form x*d**2 + w*d**3 + v*d + m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**3 + 2864*r**2 - 7120*r wrt r.\nAnswer: -6*r + 5728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/2)*j*j**27\/j*j*j)**26 assuming j is positive.\nAnswer: j**793","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -195*(-9)\/18486*(-24)\/60.\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001988214 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -232278, -232462, -232646?\n\"Answer: -184*b - 232094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10211 - 9?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*b**2 + 130680*b + 37340.\nAnswer: -5*(b - 3734)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 7}. What is prob of picking 2 q and 1 g?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71.51 and 126.8.\nAnswer: -9067.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 1432, 3243, 5790, 9079, 13116?\nAnswer: 17907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1097 + 23041\/4388. Suppose 4*a - 4 - 4 = 0. Let l = a - 26. What is the common denominator of l and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 531 = 5*t + w + w, 58*w = -5*t + 303 for t.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + 6568 + -1 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 60. What is d(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -5*n + 4*v + 4, 4*n = -v + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20*4\/(-48)*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.195 + 0.595. Let g be (-260)\/(-13)*-1*1. Let r be (1 - (-28)\/g) + 0. What is the closest to -3\/4 in r, 2, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 - 71*q + 223. What is v(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-2))\/(6\/4). Let r be ((-2)\/3)\/(g\/(-12)). Solve r*m + 21 = 5*w, w - 2*m - 1 = -0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f + 5. Let r(c) = -13*c + 11. Calculate 9*l(n) - 4*r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:56 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z - 128 = -137*z + 115 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/18)\/((-3)\/24*-10). Suppose -3*q - c*q = -3*j - 58, -2*q + j = -24. Calculate the remainder when 69 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5422680 and 7230240.\nAnswer: 21690720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 24*z + 15. Let h(w) = w - 1. Determine 30*h(g) + 2*v(g).\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 + 10*j - 15. Let b be 1\/(-5)*-43 + (-16)\/(-40). Let f be h(b). What is the remainder when (41 - f) + (0 - 3) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 10*y + 1. Let p(k) = -2*k**3 + 16*k**2 - 8. Let u be p(8). Is j(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1033 - 1002. Suppose 2*l - 5*l + 48 = 0. What is the remainder when n is divided by 43\/4 - (-4)\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69*(-93)\/6417 - (28\/8 + 1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) + (-2)\/((-10)\/977). Let o = f + -194. Solve -o = 5*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166949625 by 25.\nAnswer: 6677985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + 7?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/18 or 1?\nAnswer: 17\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (-5 + 0 - -19). Solve 6*b = 3*b + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 3 + 7 + 8 + 2 - 6.\nAnswer: 4*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 7*h + 211971 = 211983, 4*d = 5*h + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*o + 4*o. Let r = o - 13. Solve -3*s = 4*p - 1, -s - 2*p + 0 = -r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -978 or -675?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*q - 35, -3*q = -4*q - q for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgag when four letters picked without replacement from {j: 1, m: 1, a: 2, g: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5523, -5524, -5525, -5526, -5527?\nAnswer: -5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 18 - (3 + -3 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12*v + 4230. Suppose 0 = 3*g - 3*f - 221 - 208, 3*g - v = f. Suppose 831 = h + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Determine m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -6.3 (c) 0.5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 84*t - 32. Let l be m(9). Suppose -394 = -r + 2*i - 35, -2*r + i = -l. Calculate the common denominator of -113\/10 and (r\/(-24))\/(10\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*q = 3, -3*n - 2*n + 5*q = -5. Sort 7, n, 3, 2 in descending order.\nAnswer: 7, 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1 - 5 + 3 + 7*w - 2*w. What is z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7249123, -7249134, -7249145, -7249156?\nAnswer: -7249167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 27 = 3*y, -c - y + 4 = 2*c. Suppose 771 - 56 = c*r - 2*f, 5*r - 2*f = 1189. What are the prime factors of r?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 10*z + 5*z + 1944. Calculate the greatest common factor of 234 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/10*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -48.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z - 1163 + 545 = 1174. Suppose -2*b + 2*o - 14 = -7*b, 0 = 3*b + 4*o - 14. Solve r + z = -h - b*r, -h - r = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4 + 44*c**3 - 1518*c**2 + 6624*c - 7560 = 0.\nAnswer: -42, 2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23019 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/12 + p**3\/6 - 9*p. Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**4\/i))\/(i\/((i\/(i*i*i\/(i**4*i)))\/i)))\/(i*i\/i**(-7)*(i*i**(-2\/11))\/i))\/((i*i**(-1\/3))**(-44))**(-3\/34) assuming i is positive.\nAnswer: i**(-2320\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0*x**2 + 0*x**3 + x + 0 + 1\/6*x**4. Let r(l) = -4*l. Calculate r(n(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 192, 208, 226, 246, 268, 292?\n\"Answer: r**2 + 13*r + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1198 and 581629.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318983251 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.01, -0.2, 3, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {t: 1, n: 2, p: 1, j: 1, w: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.716095 to 3 decimal places.\nAnswer: -0.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 + y**2 + y**2)*(-4 - 1 + 4) + 116*y**2 + 79*y**2 + 36*y**2 in the form m*y + k*y**2 + u and give k.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 - 7340*b**2\/7 - 216018*b - 75820536\/7.\nAnswer: 2*(b - 3868)*(b + 99)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 20\/3*y**3 + 10 + y**5 + 0*y**2 + 5*y**4 + 0*y. Find v, given that s(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 35?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16908*i**3 - 2*i**2 + 42087*i?\nAnswer: 101448*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose z*y - 6 = 4. Solve t - y = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-136))\/5)\/((315\/9)\/35).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005373916141 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90485303 is divided by 2381192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - k**3 + 2*k**3 + (-1 + 1 + 2 + 2*k)*(-88676 + 290*k**2 + 88676) in the form r*k + d + o*k**3 + c*k**2 and give o.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 9*i - 9. Let y(h) = -5*h**2 - 4*h + 4. Suppose -3*f = 2*f. Suppose f*p = 3*p. Suppose 2*l - 11 - 7 = p. Calculate l*y(k) + 4*o(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -7*v. Suppose -2*c + 6*c - 253 = -d, v = -c + 1. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.07, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + -5 + (0 - -34). Suppose -d = -q - 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 525 - 525.2. Suppose 2*k + 4*l = 0, -3*l = -5*k - 2 - 11. What is the closest to z in 5, 2\/17, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 18*l + 55, -4*l + 34 = 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in 5, 2\/5, 1116?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 + -172. Let z = o - 94. What is the remainder when 182 is divided by z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:37 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2)*(-21)\/(-2). Suppose 3*o - 4 = -2*a + u, -o = -5*a + 20. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rffrffrf. What is prob of picking 4 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 7*k**2 + 24*k - 2*k**3 + k**2.\nAnswer: -2*k**3 + 24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 496 in -20\/3, 1, 5, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/6)\/((-231)\/273).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 + 1 = 20*s. Which is the second biggest value? (a) s (b) 1\/6 (c) -14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*f + 173*f + 10*f - 92*f.\nAnswer: 166*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 31706002*h**2 - 2*h + 31705969*h**2.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 + -5 + 1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10296 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -9.16. What is c rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 15, -6*b + 11*b - 5*x - 15 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 29097.\nAnswer: 407358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 28351 = -268*h - 93*h + 2511 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 - 4*f - 4. Let t(o) = 14*o**3 + 11*o + 11. Let j = 10 - 14. Determine j*t(v) - 11*c(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -49492697, 0.2, -2\/11 in ascending order.\nAnswer: -49492697, -0.2, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 103, -185, -589, -1109, -1745, -2497?\nAnswer: -3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-7)\/(-91)*(-2082)\/4. Let q = d + 150\/13. Find the common denominator of -11\/7 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292671*w**2 - 292680*w**2 + 4*w**3 - 2*w + 2*w.\nAnswer: 4*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1306 = -0*u + 3*h, 4*u - 4*h - 2572 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose -4 + 6 = l*p. Suppose -5*r = -6*r + 1. Calculate the remainder when p is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 24 = -4. Is 11014 + (-1)\/(-1) + (2 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-126)*3)\/((-10)\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 23*g + 20. Suppose -4*m + 13 = -2*m + 3*u, 4*m + 4*u - 20 = 0. Sort g, m, 0.5 in ascending order.\nAnswer: g, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 705, 1078, 1455, 1836, 2221, 2610?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -50. Let q be 4 + 0 + 0 + 0. Let m be 18\/q*32\/6. Calculate the highest common divisor of c and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*m + 126*m + 2*p + 44, -4*m - 9 = -2*p - 18 + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/6)*b)**(-48))**(-27) assuming b is positive.\nAnswer: b**2808","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose b - 3*b - 16 = 0. Let a = o - b. What is the highest common divisor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 + -1556?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*q**3 - 8*q**2 + 8*q - 6 + 13*q**2 - 7*q to r*q**2 + z*q + d + p*q**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1582*g**2*s - 132465*g**2 - 10*g*s**3 wrt s?\nAnswer: 1582*g**2 - 30*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5533*o + 113049 = 5612*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2229 + -1.7771. What is the nearest to r in -0.05, 2\/3, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95, -86, -79, -74, -71, -70, -71?\n\"Answer: -b**2 + 12*b - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**5 + 10*t**5 + 20*t**5 + (9 + 4 - 6)*(3*t**4 - 3*t**4 - t**5).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Let s(k) = k. Let h be s(z). What is the second derivative of g**h - 3*g - 3*g - g + 5*g wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1434\/11, 4, 3.248 in increasing order.\nAnswer: -1434\/11, 3.248, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1087 + 5.8387. Let p = 5.53 - c. What is the third smallest value in 0.7, 1\/10, p?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150550202681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/350 - x**6\/50 + 3*x**5\/100 + 25*x**2 - 55. Let y(p) be the second derivative of u(p). Factor y(o).\nAnswer: 3*o**2*(o - 3)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7036.774 seconds to milliseconds.\nAnswer: 7036774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 3*sqrt(363))**2 + sqrt(363) + ((sqrt(363) + 2)**2*-5 - sqrt(363)).\nAnswer: 44*sqrt(3) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaacaacaaaaacaaacaa. Give prob of sequence ac.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11464 (base 8) in base 15?\nAnswer: -16cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/13? (a) -3\/5 (b) -64.7 (c) -6 (d) 3\/5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/15 + 7*s**2. Let r(h) = 2 - 2 + h. Determine f(r(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 + -192. Let p = m + -124.72. What is p rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28581819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26497*l + 9331*l + 8753*l)*(-l**2 - l**2 + 6*l**2) as y*l**2 + s*l**3 + w + k*l and give s.\nAnswer: -33652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:34 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*d - 5*m + 45, 4*m = 0. Solve -6 = d*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58109566 a multiple of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. What is the closest to -0.1 in 2\/13, d, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80812583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 3, n: 1, i: 1, s: 2, c: 2}. Give prob of picking 2 p and 1 i.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5488\/9 + 3*2\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2171652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15959, -15962, -15965, -15968, -15971, -15974?\nAnswer: -15977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110081.\nAnswer: 3, 7, 52861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 28 = -4*b. Suppose 26*v - 22*v - b = 0. Solve 3*m - 3 + 20 = 4*k, m = -k - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7547 - 4000. Let p = -6053 - y. Round p to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2\/19, -72, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**2 - a**2)*(-3*a + 3*a - a) + 2*a**3 - 4*a**3 + 3*a**3 + 8*a**3 - 14*a**3 + 9*a**3 - 30*a - 11 + 30*a + a**3.\nAnswer: 7*a**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446056?\nAnswer: 2, 3, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -294200 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 441 - 439. Is r equal to 38\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -401*i + 403*i - 4, 5*i = 3*r - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5\/3 + 113*o**4\/3 - 815*o**2\/3 + 874*o\/3 - 56 = 0 for o.\nAnswer: -3, 1\/4, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(((f**(-2\/7)*f)\/f)\/f))*f)**(1\/12)\/(f**(2\/11)*f**(2\/3)*f))\/((f**7\/f*f)\/(f*f*f**(-1)))**26 assuming f is positive.\nAnswer: f**(-145951\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4070 and 55130?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.012 (b) -67 (c) 4 (d) -2\/15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let u(b) = -b - 1. Let o(f) = 41*f**2 - 2*f - 2. Let r(z) = o(z) - 2*u(z). Give r(k(w)).\nAnswer: 41*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44320569 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17865.02 weeks to milliseconds.\nAnswer: 10804764096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9*(16 - 1) + 4. Suppose t - 5 = h. Solve 0 = -7*g - h - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2420*p**3 - p**2 + 2523?\nAnswer: -14520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83\/3 - 28. Let b(k) = 0*k - 5 + 3*k**2 - k + 2 + 2*k - k**3. Let t be b(3). Are t and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/47736 and -53\/1778166.\nAnswer: 7112664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4151 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -2)**2 - (sqrt(60) + (sqrt(60) - (1*sqrt(60) - sqrt(60))))\/sqrt(12).\nAnswer: -14*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jabjbjacejeejjccjabb. Give prob of sequence ee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1, 0.066, 3, 0.3 in decreasing order.\nAnswer: 3, 0.3, 0.066, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, e: 1, y: 2}. What is prob of sequence in?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 + 42*v**2\/5 + 117*v\/5 - 162\/5.\nAnswer: 3*(v - 1)*(v + 6)*(v + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31534942*p**2 - 113335*p + 109 wrt p?\nAnswer: -63069884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m - 24. Let q be (3\/54)\/(0 - 3\/m). Factor 2\/9 - q*i**2 + 0*i + 2\/9*i**4 + 0*i**3.\nAnswer: 2*(i - 1)**2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 3*p - 3*p)*(-930 - 742 + 3441) to n*p + q and give n.\nAnswer: 1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18020950 is divided by 859.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(196) - sqrt(196)) + sqrt(196))\/sqrt(7))\/(sqrt(8)\/sqrt(2)*4) + 4 + 1*(sqrt(112) + -3 + sqrt(14)\/sqrt(2)*-6))**2.\nAnswer: -7*sqrt(7)\/2 + 359\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s + 131 - 359. What is the lowest common multiple of (-6)\/s*28\/(-2) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130369, -1043107, -3520557, -8345071, -16299001?\nAnswer: -28164699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 12*c + 28. What is the lowest common multiple of n(3) and 0 + 1 + 1 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 - 1011110100?\nAnswer: -1010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262a6 (base 12) to base 7.\nAnswer: -305226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.2 - -36.4. Which is the biggest value? (a) -1 (b) i (c) 21 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 + 6*h + 2. Let v = 6 + -6. Suppose 2*c - 10 = -v*c. Calculate p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4*1*(1768\/96)\/17).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 199777370 divided by -1175161\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 25, -125*d + 28 = -4*n - 121*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(56 - 56 - 56*z) - 207 + 2*z**2 + 207.\nAnswer: 58*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 70*o - 56*o - 1530 = 0 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 0, 3*t - 19 - 3 = -l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.299 and -2.4.\nAnswer: -2.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 12*o. Let i be w(-11). Let m = i - -16. Solve -m*t - 36 + 13 = -4*v, 5*v - 2*t - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7952 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/4 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92 and 81047420?\nAnswer: 81047512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.96 + 12. Let s = 6.17 + w. Let q = -1.31 + s. Round q to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2*(9 - 1). Suppose -5*h + q = -h. Find the third derivative of 0 + 2 - 5*u**h + 3*u**6 - 2 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2841*y**2\/2 + 215913*y - 456 = 0. What is y?\nAnswer: -152, 2\/947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585803, 585810, 585817, 585824, 585831?\nAnswer: 585838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48711273?\nAnswer: 3, 13, 17, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 29 = -19. Let q(u) = -12*u + 7. Let n be q(13). Let y = 151 + n. Calculate the least common multiple of i and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 63. Let k(d) = -85748 + 85748 + d. Give k(p(y)).\nAnswer: 3*y - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 127696, 127738, 127800, 127876, 127960, 128046, 128128?\n\"Answer: -h**3 + 16*h**2 + h + 127680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/2 - 383*g**2\/2 - 253*g\/2 + 127\/2 = 0.\nAnswer: -127, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pdpdppp?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + k. Let w be y(-5). Let p = -332 + 1432. Suppose -63*f = -52*f - p. Calculate the greatest common factor of w and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*0.017196.\nAnswer: 0.567468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*s**2 + 94635 - 94635 to the form o*s**2 + k*s + n and give o.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*t - 4, t + 3*t - 5*f - 44 = 0. Find x, given that -5 + 8 + 0 + 3*x**4 + t*x**2 + 12*x**2 - 12*x - 12*x**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -310 - -310. What is the nearest to v in -5, -19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26090*u**5 + 168398*u**2 wrt u.\nAnswer: 1565400*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prr when three letters picked without replacement from zppzrppppzpppppzrpz.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8)\/(l*l**(-2\/15)))\/((l*l**(-1))\/(l**(-2)*l)) assuming l is positive.\nAnswer: l**(-239\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -117*j**2 - 8616*j - 8617. Calculate r(-1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450269181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*a + 63*a - 4*a**2)*(-1 - 4 + 1)*(5 - 5 + 2*a)*(3 - 6 + 2 + (5 - 4 - 3)*(-4 + 2 + 3))*(-1 - 3 + 2).\nAnswer: 192*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.1 + -16.7.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2068702 and 2334.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 + -311. Suppose 2*c - l*t - 794 - 536 = 0, 0 = 3*c + 4*t - 2015. List the prime factors of c.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o - 2*o + (0*o + 0*o - 2*o**2)*(-o - o - 4*o))*(4*o**2 - 2*o**2 - 4*o**2).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14 and (-5846)\/(-592) + (-3 - -1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 + 509. Let b = a - 150. What is the nearest to 1\/2 in b, -9, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001164 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 - 168. Suppose -h = 84*p - 92*p. Solve -4*x = -p + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 0 - (14 - 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 3*c + 4. Let v(j) be the second derivative of -1\/6*j**3 + 0 + 2*j - 1\/2*j**2. Determine b(y) + 2*v(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19019 and 32032.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9835816 and 31\/24.\nAnswer: 29507448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 792208078295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Suppose -o*l = -9*l. Find c, given that -c**2 + 1\/2*c**3 + l + 1\/2*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/63 and 88\/14595.\nAnswer: 43785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 146*w + 1416. Is 14 a factor of h(-136)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 13*p + 26. Determine w(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3736)\/16)\/((-1)\/2). Let f be 7\/(-14) + q\/2. Suppose -86 = 3*z - f. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwli when four letters picked without replacement from rrirrfhfrlwrrr?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003283 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + 5 + -8. Let c be (4\/(-3))\/(b\/6). Let t be (-6)\/(-15) + c\/(-10). Is t > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 2 = 5*j, -5*a + 9 = 3*j. Let z = j + 6. Let v be (-18)\/(-3) - 27\/(-3 + 0). Solve z*k = -k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 2 = 5*y + n, 0 = n + 5 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a96 + -2?\nAnswer: 1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/45)*h)**(-5\/6) assuming h is positive.\nAnswer: h**(-46\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 + 3*v - 3. Let y(c) = 23*c**2 + 8*c - 8. Let q = 16 - 16. Let s be (q + -8)*(-1 - 0). Calculate s*p(m) - 3*y(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 109372, -3, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 30 = 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 2*k + 2*k)*(1 + 0 - 3) + (3 + 7 - 4)*(0*k + 2*k + 0*k))*(16*k + 5*k + 35*k) + (k - 2*k - k)*(6 - 6 + 3*k).\nAnswer: 442*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-16)\/g*(g*g\/(g*g**(5\/3))*g*g)\/g*(g\/(g*g**(-6)\/g))**0 assuming g is positive.\nAnswer: g**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 105616 = 2*n, 3*n - 52808 = 28*i - 30*i. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-27))\/h**(1\/7) assuming h is positive.\nAnswer: h**(-183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -477 - 6?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 - 5*n - 1. Let f(j) = -11*j**2 - 5*j. What is 3*f(v) - 4*r(v)?\nAnswer: 3*v**2 + 5*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.999815 rounded to 2 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**(-7))\/f*f**1*(f\/(f\/(f\/f**(5\/8))*f*f)*f*f)**(-3\/5) assuming f is positive.\nAnswer: f**(-209\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/37)*p*p*p\/((p\/p**4)\/p*p))\/(((p*p\/(p\/(p**(-1\/2)*p)))\/p)\/p**(-5\/8)) assuming p is positive.\nAnswer: p**(1755\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 936*g - 40. Let t be s(17). Is 31 a factor of t\/(-32)*(-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(2\/(-108)). Let r be 1\/((y\/30)\/6). Solve r*g = 2*q - 2, 0 = 4*q - 4*g + g + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010647 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24894 and -41\/24894.\nAnswer: 24894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9447 - -0.04839.\nAnswer: -0.89631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 9*f - 1. Determine o(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -180 and 1.21829.\nAnswer: -178.78171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**2 + 548 - 167 - 13*p**2 - 381.\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 0. Suppose n = -5*i, 6*b - 4 = 4*b + 5*i. Solve 5*y = -5*p + 3*p + 3, -b*y = 2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 9. Let a(m) = 6 - 52*m**3 - y*m + 92*m**3 - 7*m**2 - 41*m**3. Calculate a(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17235592 to the power of 1\/2, to the nearest integer?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -5, -33\/5, -15\/23, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*o + 4*o**3 - 5 + 0*o**3 + o**3 - 4*o**3 with respect to o.\nAnswer: 3*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0913283 times -0.19?\nAnswer: 0.017352377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130.94 - -137. Round x to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/15 and -37\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/14)\/((-10)\/(-70)*1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/5, 38\/11, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17162 + d**2 + 7*d - 17162 + 187*d to p*d**2 + n*d + y and give n.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n - 30. Solve -2*k + n*w - w = 10, 4*w = 4*k - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*b = 10, 3*b + 1 = -o - 1. Let j be (-3333)\/21 - (5 - 8). Let q = j + 20626\/133. Are o and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1772880 divided by -6\nAnswer: 295480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-6*sqrt(128))**2) + -3 + (sqrt(96)\/(4*sqrt(12)) - sqrt(8)).\nAnswer: -4611 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, j: 11, x: 4}. What is prob of sequence tc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83229\/77 or -1080?\nAnswer: -1080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -672, -687, -708?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b + 11. Let k(p) = 27*p - 23. Let x(h) = 2*k(h) + 5*v(h). Let j be x(2). Which is bigger: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 + 7*y**2 + 21*y**2 - 30*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713760 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 3, -121\/721?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 914032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**6\/6 + 10*f**5 - f**4 - 23*f**3\/3 + f**2\/2 - 4176. What is the third derivative of t(q) wrt q?\nAnswer: 300*q**2 + 1200*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 43*f = -4*n + 3726, -n = -f - 936. Is n at most 932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35367)\/(-6)*(2 + 0 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 - 58*h**2\/9 + 206*h\/9 - 50\/3.\nAnswer: 2*(h - 25)*(h - 3)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 - 11)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489478 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*r + 102*r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1031 (base 6) to base 11\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165.9 - -166. Let f = -5 - -4.4. What is the nearest to k in 4, f, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5 - 1638*a**4 - 4964*a**3 + 26328*a**2 - 19728*a = 0.\nAnswer: -6, 0, 1, 2, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13879411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 924652 rounded to the nearest ten thousand?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*o - 2*o - 2)*((3 - 4 + 3)*(-20 + 2 - 4) + 1 - 10 + 0)*(3 - 4 - 1).\nAnswer: -636*o - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 88*v**2 + 19*v + 86. Let b be p(-10). Suppose 0 = -9*d + d + b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -0.4, 2, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9517 or -20?\nAnswer: -9517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, -87, -419, -1077, -2163, -3779, -6027?\n\"Answer: -17*i**3 - 10*i**2 + 41*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0472 or 7.72?\nAnswer: 7.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -119*m + 293. List the prime factors of g(-15).\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5408 (base 9) to base 10\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*w - 1 = 94*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2000 - -3389?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**7\/63 - 4*q**6\/45 + q**5\/30 + 5*q**4\/9 - 4*q**3\/9 - 8*q**2\/3 + 14*q. Factor u(z).\nAnswer: 2*(z - 2)**3*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2201*a + 4630*a - 2175*a + 2181 wrt a.\nAnswer: 4656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v. Let p(q) be the third derivative of 589*q**4\/24 + 4*q**2 + 418*q. Determine w(p(h)).\nAnswer: 2356*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 262860*l**2 - 525735*l + 262870.\nAnswer: 5*(l - 1)**2*(l + 52574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 3 (b) -0.2 (c) -5\/2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - -17 - (46 + -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 64 = 0. Let n(k) = -2*k + 73. Let x be n(30). Suppose -x*f + v = -5*f. Solve 19 = -f*l + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360 + 1187. What is the closest to 1 in i, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:48 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 10 - 24. Let j(w) = -8*w + h*w + 2*w + 0 - 1. Let n(p) = -6*p + 4. Determine 11*j(x) + 2*n(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 = 5*s + 2*d - 1267, 6 = -4*s - 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9966802?\nAnswer: 2, 4983401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*i = -18, 6 = k - 4*i - 0. Suppose 42 = -k*v + 20*v. What is the highest common divisor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 101*t**2 - 53*t + 117. Calculate the remainder when 119 is divided by v(51).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7472 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 71 = -19*g. Let c(y) = -y**2 + y. Let f(a) = a**2 - a - 1. Let h(j) = -4*j - 4. Let u(r) = -4*f(r) + h(r). What is g*c(m) + u(m)?\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2*u + 25. Suppose 0 = 2*d + 3*d - 25, 2*v - 6 = -2*d. Let y = 9 + v. Calculate the remainder when a(0) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4148 to 2 decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1) + (-126)\/45. Sort -4, -0.1, -2\/9, o.\nAnswer: -4, -2\/9, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 8000. Suppose 0 = -0*i - 3*i. Let t be r(i). What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1529 + 3?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r - 56. Let j be a(-6). Suppose 4*s = -4*y + 88, 6*y + j*s + 38 = 8*y. What is the least common multiple of 48 and y?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-16))\/(((-45)\/1260)\/(2\/7)*-4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/171 and 139\/54.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1031796819076*o**2 + 32504768*o - 256.\nAnswer: -4*(507887*o - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 6*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/(-6))\/((-6)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19452, -19477, -19504, -19533, -19564, -19597?\nAnswer: -19632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppg when four letters picked without replacement from vvppivppgv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 78. Solve 0 = -f*m + 2*z - 3 + 1, 0 = 3*z - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8447*t - 6496*t + 14019*t.\nAnswer: -924*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480\/7 + 18\/7*v**3 + 888\/7*v - 264\/7*v**2 = 0. What is v?\nAnswer: 2\/3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5177278?\nAnswer: 2, 97, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4558*u - 4463. Does 23 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a\/a**(-2\/5)*a))\/a)\/a*(a\/(a\/(a\/a**(-2\/13)*a)*a)*a*a)\/a*a)**(-2\/139)\/(a**(-1\/4)\/a*a**(8\/3))**(2\/21) assuming a is positive.\nAnswer: a**(-149563\/1138410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1755 and 70?\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 673805?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -388 + 61. Let w = n - -402. Calculate the greatest common factor of w and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -906135, -1812270, -2718411, -3624558, -4530711, -5436870?\n\"Answer: -3*y**2 - 906126*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455979?\nAnswer: 7, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*5*2\/5. Suppose -200 = -4*a + 40. Let b be (-1)\/h + a\/16. Solve -b*q + 2 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -210\/11, -2\/15, 47\/17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 1004?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z - 750 = 0. Is z a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:30 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, -91, -64, -37, -10, 17?\n\"Answer: 27*f - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-70) - (16\/(-7) - -1). Which is the nearest to 1? (a) -2\/5 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23, 9, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 10, 173*f - 697*f + 172*f + 182*f + 148 = -21*i + 60*i - 174*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)*b*b**(-2)*b)\/(b**(-1\/6)\/((((b\/b**(3\/5))\/b)\/b)\/b))*(b\/(b\/b**1))\/(b*b**(5\/2)*b*b)*b\/((b*b*b\/(b*b**3))\/b)*b**(-4\/7) assuming b is positive.\nAnswer: b**(-3469\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/1598 (b) -5\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/((-2)\/16). Sort z, -4, 1.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 222\/168 - 6\/8. Which is the closest to -217? (a) 0.4 (b) l (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 5*c, 0 = 3*z - 4*c + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4359193 = -i + 80807, -4*i - 2*f + 17760000 = 0. What is i rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1098077643 + -1098077700.39999446. Let f = -57.4 - n. What is f rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*r**3 + 16478 + 0*r**2 - r - 16472 + 4*r**2 + 57*r**3 as w + m*r + f*r**2 + p*r**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55545935*p - 65715302 wrt p?\nAnswer: 55545935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45.302 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181169285.\nAnswer: 5, 11, 3293987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 513?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzzz. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2134, -2130, -2126?\n\"Answer: 4*o - 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 664. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) - (-45)\/55. Put -1, z, 3 in decreasing order.\nAnswer: 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6523245 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2324 - -121?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4157*v + 46 + 4161*v - 111*v**2 + 3*v**4 - 9 wrt v?\nAnswer: 36*v**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/8 - y**3 + y**2. Let g(i) = 3*i + 2. Let c(j) = 1. Let t(p) = 5*c(p) + g(p). Calculate -7*b(f) - 6*t(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 51. Suppose -32 = 2*z - t*z. Suppose 2*v = -4*n + 196, -3*n = 3*v - z*v + 88. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = 0. Let t be (m - 3) + (-9)\/(-1). Suppose 0 = -6*b + 3*b + t. What is the highest common factor of b and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 - 76*j**2 + 76*j + 2. Give n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -18, -9212?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018301 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 1\/11 (c) -0.3 (d) -5 (e) 290 (f) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-70)*((-1)\/(-1))\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*y - 0*r - 27, 5*y - 2*r = 29. What is the highest common divisor of y and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 14.1?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -253.3798, -19\/4, 0.4 in descending order.\nAnswer: 0.4, -19\/4, -253.3798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 6. Let o be r(6). Solve -5*u - 3*m + 14 = 0, m = -o*m + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6849 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c**2 - 4*c + (2*c**2 + 0*c + 0*c)*(-2 - 2 + 6) - 3*c**2 + 5*c**2 - c**2 - 3*c + 2*c**2 + 3*c + c**2 - 3*c**2 + 3*c**2 + 0*c**2 + 3*c**2 + 0*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.06. Let u be 4 - (110\/14 + -6 + 2). Suppose 5*j = 18 + 7. Which is the closest to 2\/7? (a) j (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 50*s**2 + 456*s + 39. Calculate d(-38).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -0*h, h = -3*q + 789. What is the greatest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14279335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 7. Let q be i(-5). Suppose -25 = 2*s + q*s. Put -3, s, 0 in descending order.\nAnswer: 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-15)\/350)\/(18\/(-24)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/484? (a) 2\/7 (b) -0.5 (c) -5 (d) 0.2 (e) -4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-7)))\/t)\/(t**1\/t))**(-11\/2) assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*c - 220, -c - 5*r = -2*c + 43. Let g = -18 + c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 297*b + 3401. Calculate j(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/3 - 5080*d**2\/3 + 85814*d\/3 - 26912 = 0. What is d?\nAnswer: 1, 16, 2523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 7\/28 + (-1)\/4 - -21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1447364\/12245 + 1\/2449. Let p = 119 + g. Factor 6\/5*c**3 - p*c**2 - 2\/5*c**4 + 0 + 0*c.\nAnswer: -2*c**2*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 2*b, 3*b + 0*b - 3*z = -3. Calculate the remainder when b + (-1050)\/(-8) + 27\/36 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -31. Let b(l) = -l**3 - 9*l**2 + 4. Let g be b(v). Suppose -g*c = -p - 7*c - 12, 4*p = -c - 70. Does -18 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q + 13. Let s be k(1). Let z be 27 + s - (-1 - -4). Round z to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 - 1164*x**3 + 73524*x**2 - 342836*x + 270480 = 0. Calculate x.\nAnswer: -345, 1, 4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 79 = -91. Does 3 divide ((-5 - -7) + 1)*22\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**5 - 13*d**2 - 2*d**3 + 13*d**2)*(-4 + 3 - 1).\nAnswer: -10*d**5 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-15))\/((-394)\/((-1400670)\/3081))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9267 and 34?\nAnswer: 315078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 66 - 66.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60819481 to the nearest integer?\nAnswer: 7799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k - k + 16.\nAnswer: -k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.826 and 0.768.\nAnswer: -6.778368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let h be (-1 - -10)*(-2)\/(-6). Let n = -13 + 17. Solve i - h*o = -f - n, -16 = -4*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7677 - -0.1023. Let x = 3.3 + -3.17. Let o = x + c. Sort o, 1\/2, 3 in descending order.\nAnswer: o, 3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 17*r + 6. Let s be m(-9). Does -5 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100010110110110011 (base 2) to base 9.\nAnswer: 5622336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680195 is divided by 135891.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*d + 21*d = -342*d - 81*d + 7812 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.852 - -249.702. Let h = l + -248. What is h rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412232 - 13?\nAnswer: -412300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -132715755?\nAnswer: -132715751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-368)\/32 + 12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -7639 - 6661. Round w to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 3*t - 9. Let w be x(-4). Suppose -h + w + 67 = 0. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, u: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1488*v**2*w + 30*v**2*y + 83*v**2 + v*w*y - 2*v*y wrt w?\nAnswer: 1488*v**2 + v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12666*i + 1. Let k(u) = 7*u**2. What is k(j(n))?\nAnswer: 1122992892*n**2 + 177324*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6776.26148 rounded to the nearest 10?\nAnswer: -6780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 123\/77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20954359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -19*g**3 - 2*g - 1. Let l be b(-1). Suppose -x + 2*r + l = 0, -x - 50 = -4*x + 4*r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -k. Suppose k*d + 12 = 3*p, 4*d + 5 = 3*p - 8. Suppose m + 5*i - 38 = 2*i, -2*i = p*m - 86. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.5 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksbm when four letters picked without replacement from {b: 2, m: 1, k: 1, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 30. Find the first derivative of a**3 - 2*a**3 - 7 - m*a**3 - a**3 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -51, 2\/7, -0.4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53.3 + 53.4. Let u = -0.3 + 0.2. Let m = u + -0.9. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 5*j**2 - 22*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -323*x**2 + 4*x + 1. Let t(p) = -970*p**2 + 14*p + 4. Calculate 7*l(k) - 2*t(k).\nAnswer: -321*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((86\/43)\/((-2)\/(-5)))\/(30\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 38*z**2 + 64*z + 20. What is the thousands digit of v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - 5*t**2 - 4*t - 3. Let o(g) = 11*g**3 + 14*g**2 + 11*g + 8. Let j = 23 + -15. Let h(k) = j*x(k) + 3*o(k). Factor h(n).\nAnswer: n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p**4 + 420*p**3 - 436*p**2 = 0 for p.\nAnswer: -109\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {d: 4, k: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-103)\/10 + (-582)\/(-1940))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*q**2 - 19*q**2 + 32*q**2 - 3*q**3)*(-27 - 20 - 17) to the form l + t*q**3 + r*q + c*q**2 and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-40)\/(-42))*-2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1253 divided by 483\nAnswer: -179\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/4 - 7*k**3\/2 + 11*k**2 - 10*k = 0. Calculate k.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - x. Let j be i(-6). Let r be (-102)\/(-8) + 9\/36. What is the highest common divisor of r and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 356*j - 3432. Give i(169).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516655159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142754563*k**3 - 29813938*k**2 - 2*k.\nAnswer: -856527378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let n = 2 - 1.81. Let c = -0.31 - n. Sort c, 1\/6, a in increasing order.\nAnswer: c, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18307*x + 219682. Calculate l(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/3 + 176*p**3 + 531*p**2 = 0?\nAnswer: -3, 0, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkkg when four letters picked without replacement from {k: 5, g: 15}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*2 + 6. Suppose -2*d = -p*d + 9. Let v(n) = n**2 - 9*n + 10. Let z be v(8). Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*k - 5*s - 185, 0 = -3*k + s - 70. Let a be 2\/(-3) - (-2)\/k. Let i be 2 + (-6 - 0\/4). Sort a, i, -0.5 in increasing order.\nAnswer: i, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Suppose -141*p - 2*b - 10 = -146*p, 0 = -p + 3*b + 15. Let n(c) be the first derivative of 0*c + p*c**2 - 10 + 4\/3*c**3. Give n(v(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -22*c + 275. Let g(w) = -5*w + c*w + 2*w**2 - 6*w. Let v(f) = -16*f. Give v(g(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 106*h + 69. List the prime factors of u(31).\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(200) + 1 + sqrt(200) + (sqrt(200) + 1)*-1 + 1 + -5 + 1)**2.\nAnswer: -120*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = f - 15. Let q = f - 8. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -112*g + 75*g + 40*g. Let h(t) = -5*t**2 - 111. What is h(m(d))?\nAnswer: -45*d**2 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19)*1 + -5 - (sqrt(95)\/(sqrt(15)\/sqrt(3)) + (sqrt(19) - (3 + sqrt(57)\/sqrt(3)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -36. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77924 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*c - 54 - 14, 3*c = -3*u + 60. Let m be (-10)\/(-30) + u\/9. Factor 3*n**2 + 8*n - 3*n - 5*n**2 - m*n.\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -2*z - 4*w, 5*w = 5*z. Let l(r) = 3 + 3 - r + 2*r**2 - r**z. What is the units digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -1, -416?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolllllloolloolllo. What is prob of sequence ll?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 19.3. Let i = n - -2.3. What is the third biggest value in 0.1, i, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/8 + 15\/(-20). Suppose -9*z + r + 0 = 0. Suppose 2*p - 7*p + 5*t + 385 = 0, p - 4*t - 65 = z. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 + 2122400122?\nAnswer: 2122344413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13*i - 159 = 9*i, -2*i = n - 51. Suppose 0 = -4*s - 5*g + n + 46, 0 = -s + 5*g + 57. Round s to zero dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**5 + 9*s**4 - 933579*s**3 - 14*s**2 - 14*s - 80278 wrt s?\nAnswer: 480*s**2 + 216*s - 5601474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 81*z**2 - 4050*z + 2. Give h(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/7 - 21984*w\/7 + 8697582\/7 = 0 for w.\nAnswer: 411, 10581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5797726558?\nAnswer: 2, 13, 222989483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4088 = -33*m, 4 = -m + 12. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66632 + 20004 - 59972 = -1066*v for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 12:40 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**4 - 15*c + 18. Differentiate y(d) with respect to d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*r - 1564256, 4*r = -2*a - 3559469 + 431005. Let n = 2387832 + a. Let l = n + -123592. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -289.291 and 34879020.\nAnswer: 34878730.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let d(n) = -1107*n + 2. Calculate t(d(o)).\nAnswer: -1225449*o**2 + 4428*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 - 1212*f**2 - 2412*f = 0?\nAnswer: -402, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1469\/3*b**4 - 538754\/3*b**3 - 1\/3*b**5 + 180075 + 179585*b - 541694\/3*b**2 = 0. What is b?\nAnswer: -1, 1, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 2) + -8 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -22*r**4 - 27*r**3 + 34*r**2 + 5. Let b(k) = 4*k**4 - k**3 - 1. Let y(v) = -5*b(v) - g(v). Factor y(f).\nAnswer: 2*f**2*(f - 1)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3925*j**2 + 11881*j + 18. Calculate i(3).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12917799 is divided by 44.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -77*b + 29*b + 300 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 - 2*f**2 + 4*f - 5. Let m = 18 + -8. Suppose 8*v - m = 10*v. Give o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 1142356?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/4, -2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - r + 4*r + 12697 = 0, 0 = 4*f - 3*r + 10163. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/25 of a gram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/11 + 2*y**3 - 1498*y**2\/11 - 138*y = 0.\nAnswer: -33, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*l + 39 - 257*l + 81*l - 584 + 82*l as s*l + a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 204 + 56 = 0. Suppose -2*a = -g + 5. Suppose 0 = n + 4*n - a. Solve -10 = -n*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*h - 802 + 788, -3*h + 18 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 - -4 - -3)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*u + 0*u + 108*u**2 - 5 - 2733*u**3 + 2238*u**3 + 0*u wrt u.\nAnswer: -2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, y: 4, g: 4, u: 2, h: 1, c: 2}. Give prob of sequence uhu.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152576590.\nAnswer: 2, 5, 15257659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 202\/((-13)\/((-546)\/4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 6 = 2*d + 4*k, -3*k = -3*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 105\/2, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 8\/4 - -2519. Let l be (-830)\/q + (-4)\/(-18). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 1754 = -1315. Let o = 351 - v. What is the remainder when 93 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**4\/2 - 7*v**2\/2 - 3*v + 673. Let r(q) = q**3 + q + 1. What is -o(l) - 5*r(l)?\nAnswer: -11*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39502 = -2324*y + 11626 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/4 - k**3\/2 - k**2\/2 - 1185*k. Let y(q) = -7*q**2 + 5*q + 3. Give 10*d(f) + 4*y(f).\nAnswer: 2*f**2 - 10*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f - 260. Let y = f - -87. What is the smallest common multiple of y and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-460)\/(-75) - 6 - 29\/105).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z, -4*z - 6 = 2*y - 3*z. Which is the biggest value? (a) -2\/5 (b) 3\/8 (c) y (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 6 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -201\/4 + 1209\/8*c - 3\/8*c**4 + 411\/8*c**3 - 1215\/8*c**2.\nAnswer: -3*(c - 134)*(c - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-684)\/(-456)*(-8)\/(-42). Which is the nearest to h? (a) 0.052 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + j + 460 = 0, 22*v + 5*j + 590 = 27*v. Suppose h + z - 69 = 0, -3*h + 4*z + v = -114. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (1 - -3) + 1 + -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1105 + 109387\/8840. What is the common denominator of x and 1222\/240 + 2\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1577.1 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, 0, -0.5, 2\/5, 1971?\nAnswer: 1971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/1227953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 22*k**2 - 19*k - 17. Let f = 614 - 628. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7053)\/(350\/140*(-6)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59376 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-92)\/6*(2035\/74 - 29). Solve -r*p + 7*p = 48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 296048400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171054677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11303 (base 4) in base 10?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1260000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p - 59*p - 68*p + 110 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -372.\nAnswer: -372, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 128*f + 133*f - 44425 = 0, 3*f - 222081 = -5*w. What are the prime factors of w?\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147231151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1857*u**3 + 5*u**2 + 19*u - 5. Let p(d) = 2786*d**3 + 7*d**2 + 27*d - 7. Give -5*p(h) + 7*x(h).\nAnswer: -931*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - 3*l**3 + l**3 - 5*l**3 + (-2*l + 0 + 0)*(4*l**3 - 3*l**3 + 0*l**3))*(2 - 7 + 2)*(231 - 13*l - 231)*(-1 + 2 - 3).\nAnswer: 312*l**5 + 546*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3689224, -14756894, -33203010, -59027572, -92230580, -132812034, -180771934?\nAnswer: -236110280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5227 + 5227.3. What is the closest to 0.04 in -3, 9, b, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from {j: 2, f: 10}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267*t**4 - 87 wrt t?\nAnswer: 1068*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/14 and -57\/2524?\nAnswer: 17668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z + 8*z - 11*z)*((-1 + 0 + 2)*(3 + 0 - 5) - 2 + 1 + 0) as k*z + u and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 2. Let u(g) = -g**2 + 6*g - 1. Calculate the smallest common multiple of u(4) and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002663276096 rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 + 16) - (28408\/583 + -66)?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -14. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**6 + 3497855*d**3 + 157781*d**2 + 16 wrt d.\nAnswer: 1080*d**3 + 20987130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:57 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5732247 divided by -3\nAnswer: -1910749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 + r**2 + 953*r - 5761. Let f(n) = n**3. Let y(g) = -f(g) - v(g). What is the derivative of y(a) wrt a?\nAnswer: 6*a**2 - 2*a - 953","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 276*h = -271*h, 3 = -2*o + 5*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 13. Calculate the least common multiple of i(-3) and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 36 + 39 + 33 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = -27*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/10)\/(-12 + (-59)\/(-5)). Let w be (-1 - -1 - 5) + a. Solve -w*i + 2*k = 10, 6*i + 15 = 3*i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 106. Let i be l\/(-14)*(-8 - -1). Suppose -2*u + 0 = -i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-3)\/sqrt(3))\/(sqrt(250) - (sqrt(250)*1 - sqrt(250))) + -4.\nAnswer: -4 - 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 4*l**4 + 4*l**3 - 2 + 7*l in the form p + h*l**2 + r*l**3 + q*l**4 + t*l and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/1)\/(27\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -476*a**3 - 22094 + 368*a**2 + 22094 wrt a?\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2932 + -1813. What are the prime factors of p?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704 + 68 - 357 - u.\nAnswer: -u + 415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(2057) + 4 + 0 - 3*sqrt(68)*-2))*3)**2.\nAnswer: 80937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335515413, -335515420, -335515431, -335515446, -335515465?\nAnswer: -335515488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*s**3 - 9416*d*s + 12*d - 3575*s**4 - 21132*s**2 + 117 wrt s.\nAnswer: -6*d*s - 42900*s**2 - 42264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Suppose 23 = p + 5*k, 4*p + 4*k = 2*k + 74. Let l(b) = 14*b**2 + p*b**2 - 33*b**2. What is l(v(c))?\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Let w(g) = -2*g. Let y(p) = 4*p. Let q(j) = j**2 - 9*j - 15. Let x be q(11). Suppose 90 = x*h + 3*h. Calculate h*w(n) + i*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -163, -162, -161?\n\"Answer: y - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 17 + 1 + 4*o + 9 - 6*o.\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 410 = 5*v - 4*v, 0 = b - 5*v + 92. Let y = b + 105. Solve -20 = y*u - 2*h, 0*u - 8 = 3*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r - 30 = 0. Let d be 82\/(-20) - (-5)\/r. Let x = d + 143\/30. Put 2, x, -4 in decreasing order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -367, -4, -6, -2 in ascending order.\nAnswer: -367, -6, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18*23\/414 - 45\/(-36)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 0.5, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3952433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 9*c**2 + 13*c. Let b be x(10). Suppose n - 2*r + 5 = 0, -4*n - 3*r + b + 5 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**6\/15 - 3*w**5\/10 + w**4\/6 + w**3 - 2*w**2 + 12*w. Factor s(m).\nAnswer: 2*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2466\/13 + 40205\/182. Let y = h + 93\/7. What is the common denominator of y and -119\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 - -560. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 23 = -147. Let v = -4 - -18. Let b = p - v. Solve -4*c + 20 = -2*n - 3*n, -3*c - 5*n = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93.57 times 3\nAnswer: 280.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1746 (b) 0 (c) -0.5 (d) -18 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-6)\/(-9)*-9. Let b(w) = -w**3 - 5*w**2 + 10*w + 7. Let i be b(-7). Calculate the greatest common divisor of t and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -121. Solve x*v - 14 = 31*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 15*i - 20. Let t be g(9). Let u = -38 + t. Let n(o) = -3*o + 1. Give n(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*p + 432*p - 1106*p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n\/n**(1\/10))\/n)\/n*n**8*n*n assuming n is positive.\nAnswer: n**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**6\/120 + p**5\/20 + 5*p**3\/3 + 1. Let a(v) be the third derivative of c(v). Factor a(x).\nAnswer: 3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3\/2 (c) -2\/19 (d) 23 (e) -24 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k + 4984 + 4*k - 10119 + 5053 to f + n*k and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 2, -926, 5, 7 in decreasing order.\nAnswer: 7, 5, 2, -4, -16, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 3*z + 4. Suppose -n - n = -5*f - 19, -3*n - 19 = 2*f. Let i be o(n). What is the second derivative of a**2 - 7*a + a**i - a**2 + 8*a wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 7*m - 11 = 0. Suppose m = z + s - 5*s, 4*z - s = -1. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 227*l - 1. Let v(f) = f**2 - f - 29. Let c be v(-5). List the prime factors of y(c).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q**2 + 4*q + 220. Calculate the remainder when 1452 is divided by v(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 54*m = -161 - 1279 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 11*i**5\/20 - 56*i**2. Let d(n) = 3*n**2. Determine y(d(m)).\nAnswer: 297*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 46 + 4 + 2 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrg when three letters picked without replacement from rcryrgryq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -2*i + 1\/2*i**3 + 1\/2*i**2 + 0. What is the first derivative of z(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6147.1 minus 2.2875?\nAnswer: 6144.8125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25855003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -130.\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 168453, 168458, 168461, 168462?\n\"Answer: -n**2 + 8*n + 168446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/47012 and 41\/1081276.\nAnswer: 1081276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 + u**3)*(2 - 1 - 3)*(2*u + 6*u + 3*u).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327.952 kilometers in centimeters?\nAnswer: 732795200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9127*l - 9144*l + 170 = 0. Calculate the lowest common multiple of l and (-3)\/(-1) + -1 - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*y - 10, 3*y + 30 = -4*h + 6*y. What is the common denominator of ((-426)\/h)\/((-44)\/33) and 1 - (-214)\/20 - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o**13\/o))\/o)\/o)\/o**2*o**(-7\/5)\/(o*((o*o*o**(-10)*o)\/o*o)\/o) assuming o is positive.\nAnswer: o**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -37362*a - 3026320. Determine n(-81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppp when four letters picked without replacement from {f: 9, t: 2, p: 6, w: 2}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 - 7. Calculate b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -1087.\nAnswer: -1086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 442?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1367224 and 9536.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3814\nAnswer: -19070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 998223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*z - 543377 = 74123. Calculate the remainder when z is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 68 - 110 = 0. Suppose -j - 8 = 4*n, 0 = 4*j + 5 + 11. Let f be ((-2)\/(-2) + n)\/(-1). Solve 4*q - p*q - 10 = f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggtt when four letters picked without replacement from ggttttt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/6 + 5\/3. Let q = 2 - 0. What is the closest to -2\/3 in v, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*u**2 + 12*u**2 + 8*u**2 + 235*u**2 + 13*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*p - 64, 1130 = -s - 331*p + 148 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5344 + -5212. What is the remainder when 374 is divided by l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*b + 60, d + 25 = -b + 2*b. Let m = -10 + b. Solve -4*u + 2*z - 3*z = -15, 4*z - m = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 794*i*z - 28*i - 44 wrt z.\nAnswer: 794*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -385\/2?\nAnswer: -385\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n + 2. Let g(c) = -c**3 - 5*c**2 + 6*c + 3. Let b be g(-6). Let z be (16\/64)\/((-5)\/(-4) + -1). Let m(v) = -v - 1. Determine b*m(s) + z*r(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 24*r + 1798. Let l be o(-75). Put l, -5, 4, -6, 2 in decreasing order.\nAnswer: 4, 2, l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/((u*u*u*((u**0*u)\/u*u)\/u)\/u))\/(u**(3\/16)\/u**19) assuming u is positive.\nAnswer: u**(285\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2, 667 in descending order.\nAnswer: 667, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 8*v - 35. Let u be k(13). Let h be 2\/(-6)*u\/(-20). Factor 0*p + h*p**2 - 1\/2.\nAnswer: (p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) - (sqrt(972)*1 + sqrt(972)) - sqrt(972)) + sqrt(1728) + (sqrt(1728) - (sqrt(1728) - 1*sqrt(1728))))\/(-1*sqrt(96)*3*-6).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*t**5 - k*t**4 + 52925*k*t**2 - 40596*t**3 + 4*t**2 wrt t.\nAnswer: -120*k*t**2 - 24*k*t - 243576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -99 and 1\/298 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -175878 divided by 2152?\nAnswer: -87939\/1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-2))\/(-2) + 0. Let p = 10882\/6657 - 488\/317. Put n, 1\/9, p in decreasing order.\nAnswer: n, 1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**5 + z**3 + 2*z**5 - z**5 - 3*z**5 + (0 - 2*z**2 + 0)*(-6*z**3 + z**3 + 3*z**3) - 387*z**5 - 9358 + 9358 - 2*z.\nAnswer: -383*z**5 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-2))\/n))\/n*n**0)\/(n*n**0*n*n*n\/n**(-2\/7)*n)*((n**(1\/5)\/n)\/((n**5*n)\/n))**(-2\/59) assuming n is positive.\nAnswer: n**(-6379\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 38 + 1150 = 4*q, -v = -2. 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*q = -15, -5*q = -3*j + 1 + 30. Put j, 4, -7 in ascending order.\nAnswer: -7, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 32*i + 105. Let x be b(-5). Let s(o) = -2*o**2 + 5*o. Let w(r) = -3*r**2 + 8*r. Determine x*w(z) + 8*s(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -29*h - 101. Let z be n(-7). Let p = z + -100. Which is the biggest value? (a) p (b) -12 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*b = 7 - 37, -12*l + 4*b + 120 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3770 - -3769. What is the closest to s in 0, 2\/29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from tgbtttgtttttgbtttttt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 148837?\nAnswer: 14883b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17195 divided by 19.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79533.56 grams in tonnes?\nAnswer: 0.07953356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*s**2 - 21*s**2 - 15*s - 2*s wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 327?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -4\/3237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 12}. What is prob of sequence rrr?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d + 2*d**2 + 3*d**2 - 19 + d**4 - 27*d + 12*d + 5*d**3 in the form c*d**3 + q*d**2 + a*d + p*d**4 + y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from {p: 5, i: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/200 + 15\/840*-7)\/((-21)\/2905)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2196438ms in seconds?\nAnswer: 0.0002196438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6\/5, 1, 93\/2462?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 8)*(4*m - m - 5*m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 7 = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-18)\/(-5))\/(10\/125). Suppose 0 = 4*p - p - 4*g - 3, p = -5*g + b. Solve d - 2*q = -2*d - 1, d - 4 = p*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/120 + i**4\/24 + 5*i**2. Factor d(s).\nAnswer: s*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*l + 109 - 75 = 0, 77 = 5*b - 2*l. Solve -a = b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9968 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -11. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 1. Let y = -9 - a. Does 5 divide 2\/y*(-13 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803 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: What is the greatest common factor of 1893 and 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -1, 4, 4\/197 in descending order.\nAnswer: 4, 4\/197, -0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -57 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3093.8 to the nearest ten.\nAnswer: -3090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 105. Let l(q) = 8*q + 0*q - 13*q**2 - 4*q**2. Let k(u) be the second derivative of 11*u**4\/12 - 5*u**3\/6 - 334*u. What is z*l(r) + 8*k(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((sqrt(143) + sqrt(143) + (-5*sqrt(143)*3 + sqrt(143) - sqrt(143) - sqrt(143)))*3)\/(sqrt(1331) + sqrt(1331) + 4*(sqrt(1331) - sqrt(1331)*2))).\nAnswer: -84*sqrt(13)\/11 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1806d91 (base 15) to base 12\nAnswer: 5a34ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13805*y - 96185 + 7581 - 3240*y**2 + 45881*y + 2*y**4 + 84*y**3 - 11998.\nAnswer: 2*(y - 9)**3*(y + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208481.\nAnswer: 7, 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9660643*a**3*k**3 + 3*a**3*k**2 + 65840532*a**3*k + a*k**3 - k**3 wrt k?\nAnswer: -57963858*a**3 + 6*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/231)\/(6\/(-81)))\/((-150)\/(-100))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, l: 3}. What is prob of sequence mmmm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/19 (b) 2 (c) -3 (d) -1537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 11. Let a be k(-9). Let y be (0\/(-2))\/((-1)\/(-1)). Let q be (y + 0 + 0)\/a. Solve q*r = r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y - 8906742*y**2 + 37*y.\nAnswer: -8906742*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13460 - 13458. Solve -g*q - 4*n - 5 = -37, 4*q + 2*n = 34 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*x + 8, -4*l + 3*x + 9 = -20. Suppose r + 15585 = -3*r + 5*c, -5*r = l*c + 19515. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 8*x = 0. Suppose -4*j = -x*j + 216. Let h = -9 - j. Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 782 and 5.\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -767011*o**4 + 113*o**2 - 5*o - 29?\nAnswer: -18408264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363633 - 462?\nAnswer: 363141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 518*i**2 - 2060*i + 2056.\nAnswer: -(i - 514)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1587 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367843, 367946, 368049, 368152?\nAnswer: 368255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-6) + 3 - 40\/(-30). Suppose -a*f - 2*r = -5*r - 1954, -977 = -f - 4*r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - 3) + (5 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(130)*-1*4)\/(-6*sqrt(30)\/sqrt(3) - (-2*sqrt(1210) - sqrt(1210))) + 1 + -2.\nAnswer: -1 + 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 471 + -585.2. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:31 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92398 - 707*m**2 - 92398)*(-m**2 + 3*m - 3*m + (0*m + 0*m - 2*m)*(0*m + m + 0*m)).\nAnswer: 2121*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(475))**2*-5 + 0 + -1*sqrt(171) + (sqrt(171) + 5 + sqrt(171) + 0 + sqrt(171))**2.\nAnswer: -19814 + 87*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, 516 in decreasing order.\nAnswer: 516, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 6. Suppose 6*o - 3*u - 127 = 2*o, -3*o - 4*u = -64. Suppose o = q + q. Let l be q*((-15)\/10 + 1). Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76997 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 10*i**2 + 12*i + 6. Differentiate s(w) with respect to w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b + 1\/24*b**6 + 1\/210*b**7 + 1\/15*b**5 + 0*b**3 + 5 + 18*b**2 + 0*b**4. Determine w so that o(w) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**6 - 2 + 5 - b**5 + 4 - 2*b**2 - 5*b**6 wrt b.\nAnswer: -720*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807 + 13*m**3 + 962*m - 900 - 962*m - 907.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 2*z**7\/105 - 3*z**3\/2 + 4*z**2 - 8. Let r(f) be the second derivative of y(f). Find the first derivative of r(w) wrt w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*n**2 - 1004*n**2 - 14059*n + 14059*n.\nAnswer: -1428*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2366778503 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 24 + -87 + 74?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 14132 = -3*s, 5*z = 2*s - 9406. Suppose 33*v = 11*v + s. What is the remainder when v is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2 (c) -105\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -0.1525604.\nAnswer: 6.8474396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1994*m + 2031*m - 9*m**3 + 0 - 1 - 4064*m to the form h*m + n*m**2 + d + v*m**3 and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000568752961 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -5\/6*z**4 + 0 + 30*z + 0*z**2 + 0*z**3. Let r(p) = -2*p**2. Calculate j(r(m)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 9*l + 2*l + (-3*l + 3*l - l)*(1 + 3 - 5) + l - 2 + 2 + 0*l - l + 3*l + l - 2*l - 3 + 0*l as v*l + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 - -1206\/5. Let q be 30\/4*7\/(273\/(-26)). Suppose -2*l = -5*l. Which is the nearest to l? (a) p (b) -3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvtvootoxvotxvxvv. What is prob of picking 1 x and 1 v?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 7*q - 4. Let x be p(6). Suppose -3*a = -4*o - 30, -2*o + x = 2*a - 18. Let h = 20 - a. Calculate the lowest common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcq when three letters picked without replacement from {c: 2, k: 4, w: 2, q: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + ((-4)\/(-2) - 0))*1. Let u(w) = -3*w**2 - 3*w**2 + 2*w**2 - w + 4 + 3*w**2. Does 2 divide u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 = -40*q + 106*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(38\/7)\/z*z)\/z)\/(z**(-21\/5)\/z*z))**(-3\/10) assuming z is positive.\nAnswer: z**(-453\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -221*j**2\/2 - 306. Let h(n) = -2*n**2. Determine a(h(l)).\nAnswer: 442*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2689 and 2686 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*1)\/(-1) - 7896\/(-21). Let u = -591 + l. What is u rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p**16*p**(-2\/31)\/(p\/(p\/(((p\/(p**1\/p))\/p)\/p))))**8 assuming p is positive.\nAnswer: p**(2216\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - l = -2*c - 3, 0 = -5*c - 3*l + 9. Suppose c = -4*s + 217 - 33. Let z = 31 - s. Which is smaller: -16 or z?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47a - -9a?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5383 divide 1151125452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 188, 187, 186, 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3142 - 11*l - 10*l - 3142.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 7. Let n be h(-7). Let r be (-4)\/(-2) - (n + -22). Let s be -1*1 + -2 + 9. What is the highest common factor of r and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7.7. Let y = 0.1 + 0.4. Let d = -0.9 + y. What is the third biggest value in d, f, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.390002.\nAnswer: -4.290022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:17 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:01 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -236*u - 21. Suppose -2*n - l + 2 = 3*n, 5*n + 5*l + 10 = 0. Let w be (0 - -7)\/((-2)\/n)*2. Is h(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**3 + 0*a + 4*a**2 + 89 + 1\/4*a**4. Calculate z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*s**3)*(-s + 2*s - 2*s)*(4*s + 4*s + 0*s - 4*s + 2*s + 0*s + (4 + 0 - 5)*(-1 + 2*s + 1)).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(875)*-3)\/(-1*sqrt(320) + (sqrt(5) - (sqrt(500) - (1*sqrt(500) - sqrt(500) - sqrt(500)))) + sqrt(5)).\nAnswer: 15*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 338 - -2?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -18. Suppose 5 = -18*g + y*g. Which is bigger: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20809749?\nAnswer: 3, 631, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -105 - 39. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -216195000 to the nearest 1000000.\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*1\/(-6)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 46794916?\nAnswer: 4679491a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + 3. Let l = -28 + o. Let q(k) = 2*k - 3. Let g be q(l). Are 3\/50 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2776521, 2776524, 2776527, 2776530, 2776533?\n\"Answer: 3*m + 2776518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -3. Let v = 1129\/284 + -300\/71. Suppose 8 = 2*n - 0. Which is the closest to 2? (a) v (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 10 = b. Let p(t) = -3*t + 1 - t**2 + 0*t + 4. Let u(a) = -a**2 - 2*a + 4. Calculate b*p(q) + 3*u(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626.5305 millilitres to litres.\nAnswer: 0.6265305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 110?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/2 - 727*t**3\/2 - 2887*t**2\/2 + 3615*t\/2 = 0 for t.\nAnswer: -723, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:59 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3251 + -3274. Let o be 30\/(-68)*2 + 1. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**4 + 5*i**2 + 26. Suppose 3*c - 29 = -26. Let b(d) = d**4 - d**2 - 1. Let a(q) = c*f(q) + 5*b(q). Find the first derivative of a(k) wrt k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4097704*l**3 - 9787752*l**2 wrt l.\nAnswer: 24586224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002342?\nAnswer: 2, 3, 647, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 + 62*h**2\/11 + 42*h\/11 - 882.\nAnswer: -2*(h - 21)**2*(h + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95495.\nAnswer: 5, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/6418, -0.5, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, -3\/6418, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 13 - 2)*(q**5 + 7*q**4 - 7*q**4) + 3*q**5 - 4*q + 4*q + (3*q + q - 2*q)*(0*q**4 - q**4 - q**4) - 3 + 2*q**5 + 3 + q**4 - q**4 + 2*q**5.\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 708\/590*10\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:53 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2070, -6, -5, 2, -0.2?\nAnswer: -2070","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 81. Let t be l(12). Let y = 122 - t. Solve 5*n - 9 = -y*j + 1, 2*j - 5*n - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32755, -4, -6 in decreasing order.\nAnswer: -4, -6, -32755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -186, -411, -738, -1173, -1722, -2391, -3186?\n\"Answer: -w**3 - 42*w**2 + 4*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 + 19 - (0 + -2672) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.68 - -1.18. What is the second biggest value in d, 2, -1, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 15 = 3*k, 4*s - 187 = -3*k. Let g(p) = 14*p**2 + p. Let w(c) = c**2 + 5*c - 5. Let y be w(-6). Calculate the remainder when s is divided by g(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*d = -d + 17, d = 5*r - 21. Differentiate 22*m**3 + 1 - 22*m**3 + 3*m**r with respect to m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29\/3 - 209\/21. Let r(z) = 6*z**2 + 8*z + 5. Let o be r(-1). Which is the closest to m? (a) -3\/17 (b) 3\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -300616*y**2. Let m(a) = -3*a**2. What is m(q(u))?\nAnswer: -271109938368*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 175 * 0.2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 209.9004?\nAnswer: -214.9004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2208 * -0.72784.\nAnswer: 1607.07072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/5*(77 + (-3427)\/46)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/840 - j**6\/240 - j**5\/240 - 16*j**2. Factor q(n).\nAnswer: -n**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 18*i**2 - 14*i - 12. Give y(17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (6873\/348)\/(-2*(-15)\/(-24))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 32*a**2 + 10*a**2 + 9*a**2 + 13*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 101*x - 2030 = 113*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/97 and 37\/8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 680.4354 nanometers?\nAnswer: 0.6804354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600 is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/(-6)*2902*(511\/35 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3925 - 4088. Is k less than -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-729*o**3 + 98*o**3 - 1655*o**3)*(1 - 3 + 1)*(-4*o + 1 - 1).\nAnswer: -9144*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -1534?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-27 - 50) + 31).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 10) in base 2?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/(-86)*65*(-14)\/(-350).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let j(t) = -243014*t. Calculate b(j(z)).\nAnswer: -729042*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let u(z) = -63*z + 7. Calculate 5*d(y) + u(y).\nAnswer: -73*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*t + 63*t - 28*t)*(-54 + 3*t**2 - 14 + 44 - 2*t - 21) to the form s*t**2 + d + y*t**3 + j*t and give s.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o + 231*o + 16974 = -278*o for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + 0 + 4)) + sqrt(13))**2 + -4.\nAnswer: -8*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106216, -212463, -318706, -424945?\n\"Answer: 2*w**2 - 106253*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 8. Let p be v(8). What is the common denominator of (-62)\/4 + (p - 3) and 27\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 + 137.5. What is the nearest to 1\/36 in -2\/13, 1\/5, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 12*l + 36. Determine r(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y**4 + 218*y**3 - 147*y**2 - 452*y - 76 = 0. What is y?\nAnswer: -1, -2\/11, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/16 and -91\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 54890?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -2) + -4 - 55) + (11 - 133) + 112?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(sqrt(8208) + 3*(sqrt(8208) + 1*sqrt(8208)))\/(2*sqrt(9)\/sqrt(75)).\nAnswer: -4 + 1260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -190*a - 2296. Determine s(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*n = 50, n + 0*n = 4*z + 45. Let j be ((-6)\/5)\/(4\/z). Solve 0 = -b - j*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*l + 38*l + 125. What is the remainder when l is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:02 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -84*a**5\/5 + 14*a**3 - 78. What is the third derivative of s(b) wrt b?\nAnswer: -2016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082\/10 + (-22)\/110?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446.7013 + 1219194\nAnswer: 1219640.7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 + 227. What is the nearest to k in -18, -2\/9, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**7\/105 - n**4\/12 - 5*n**2\/2 - 7. Let h(s) be the second derivative of i(s). What is the second derivative of h(o) wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fif when three letters picked without replacement from iiiiiiffii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33076 + -429868\/13. Determine k so that -x*k - 2\/13*k**3 - 36\/13*k**2 + 400\/13 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 8, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695834060.\nAnswer: 2, 5, 31, 47, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 248059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {n: 4, g: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 86054?\nAnswer: 430270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-155*g - 19*g**2 + 155*g + (4*g - 4*g + 3*g)*(0*g + g + g) - 2*g**2 + 2*g**2 - g**2).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2059 and 174?\nAnswer: 12354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4486, -8824, -13120, -17374, -21586?\nAnswer: -25756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -2030?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 185844.\nAnswer: 5017788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000112410315 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36348*f**3 + 72688*f**3 - 36353*f**3 - 2*f**2 + 2*f**2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -3*m + 286. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2742*s - 12. Let g be k(3). Is (g\/(-9))\/(1 + 5\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 4*o = -32, -2*a + 11 = o. Solve q + 2*q = -a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x + x + 7*x - 22*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/(-4)*(-96)\/(-72)*-3. Solve -27*k - 16 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-20)\/(-25) + -11. Sort 2\/3, c, 0, 4\/3.\nAnswer: c, 0, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/18, -0.54, -351?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129833011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -12214807.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42*49\/(-4116))\/(13\/(-2)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 5 - 2*j - 5*j. Let l(m) = 2*m + 1. Let t(r) = 14*r + 10. Let o(a) = -8*l(a) + t(a). Determine -3*h(d) + 8*o(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 10 - 14)*(q**3 + 0*q**3 + 2*q**3) in the form l*q**2 + v*q**3 + u*q + j and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + 8. Let o(n) = -2*n. Give o(j(w)).\nAnswer: 18*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - (-10 + 2 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/2, -17\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 994 in 2\/31, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 46*b**2 + 205*b - 38. Calculate x(-41).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033344 - 1004313?\nAnswer: 24031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (106\/70)\/((-24)\/(-10)) and 162\/297 - 8020\/(-2640).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.22877mg to nanograms.\nAnswer: 99228770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 5*m**3 - 2*m**3 + 2*m**2 - 4*m**3.\nAnswer: -m**3 + 2*m**2 + 476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110011011100001 (base 2) in base 8?\nAnswer: -763341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 102*p - 196 = 0. Calculate p.\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 724\/13 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -106. Solve 2*r + 5*p - 27 = 0, -3*r + s = -6*r + 5*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cobooobooobocoo. Give prob of sequence ooco.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 39*d - 1370. Determine n(-19).\nAnswer: 1898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.314 + 84.86. Sort -0.1, -4\/5, 1, l in decreasing order.\nAnswer: 1, l, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189 - 203 - (-1 + 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 3*o = 132, -3*o = -4*q - 108. Let d = q + 26. Suppose 5*k + 4*j - 2*j = 28, -d*j - 8 = -k. Solve k = -3*s + 3*i, -i = -s + 2*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1300 - 811. Let m = z - 487. Which is the smallest value? (a) -4 (b) m (c) -38 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 647.913 millennia?\nAnswer: 6479.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1001101011?\nAnswer: 1001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(sqrt(80) - 1*(-3 + sqrt(80))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1*(28\/10 + -3)). Let h(b) = 2*b - 5. Let y(f) be the first derivative of 3*f**2\/2 - 7*f - 197. Calculate r*y(n) + 7*h(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(4\/3)\/(u**(-4)*u**7*u)*(u\/(u*u*(u\/((u*u*u\/(u\/u**1*u)*u*u)\/u)*u)\/u*u))**(-8\/5)\/(u**(2\/3))**(-12) assuming u is positive.\nAnswer: u**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7. Suppose 0 = 2*t - 5 - w. Solve -6 = -5*a + t*o - 0*o, a = -3*o - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*w - 0*w + 30, -3*k = 3*w + 24. Is 16 a factor of ((-86)\/14 - k) + 1122\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y - 141. Let k be f(24). Let j = -4 - -7. Solve j*x + 6 = k*s, -s - x = 2*s - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33 and -47648?\nAnswer: 47615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 230?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(3 + sqrt(117)\/sqrt(9) - (sqrt(130) - sqrt(130)*-4)\/sqrt(10)))**2.\nAnswer: -288*sqrt(13) + 3409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 - 2*z**2 + 3*z**2)*(-5 + 94*z + 11 - 6) in the form s*z**2 + x*z + g*z**3 + a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 112. Is -3 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**18*y\/y**(-1\/39))**(17\/6))**42)**(2\/17) assuming y is positive.\nAnswer: y**(-8722\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 591.\nAnswer: -10\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0. Let j = -3.09 - -1.09. Put -4, c, j in ascending order.\nAnswer: -4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617486687 to the power of 1\/2, to the nearest integer?\nAnswer: 24849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -555674.1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -23. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 119.7, 4, 2\/9, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-610)\/8 + 31\/124. Is -75 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -16)\/(2\/(-4)). Suppose 2*p + 3*p = u. Let a = 6815 - 6809. Calculate the highest common divisor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14725243.\nAnswer: 13, 29, 139, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let z(o) = -5*o**4 - 7*o**3 + 3*o**2 - 3*o - 3. Let p(g) = 24*g**4 + 34*g**3 - 14*g**2 + 14*g + 14. Let d(c) = j*p(c) - 14*z(c). Factor d(k).\nAnswer: -2*k**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1194 and 5139573?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16551 by 9126.\nAnswer: -613\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35309 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(-2 - 2). Let g(c) = -2*c**2 + 0*c**k + 2 + c**2 - 9*c. Let w(p) = p**2 + p - 1. Let i(j) = g(j) + 4*w(j). Determine o, given that i(o) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0839+1\nAnswer: 0.9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 262 - 3*g + 30*g**2 + 95*g**2.\nAnswer: 125*g**2 - 3*g - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by 100?\nAnswer: 83\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/10)*n))\/(n\/(n*n*n**(-6)*n)))\/(n*n*n**(3\/2)\/n)**(2\/37) assuming n is positive.\nAnswer: n**(-1493\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppggpp. Give prob of picking 3 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5000)\/((-1)\/(-128)*4). What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwywllbylylwwllly. Give prob of sequence bl.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22.3*13.615\nAnswer: 303.6145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1340433 - 240034?\nAnswer: 1100344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -0.32. Suppose -20 = 4*f, 2*x + f + f + 14 = 0. Put b, -0.03, x in increasing order.\nAnswer: x, b, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115233 (base 6) in base 7?\nAnswer: 41604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22608 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11093*v**5 + 316*v**4 + 441*v**2 - 3375*v - 5?\nAnswer: 665580*v**2 + 7584*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 517 - 62039\/120. Let c(t) be the third derivative of 1\/24*t**4 - w*t**6 + t**2 - 1\/840*t**7 + 0*t + 1\/6*t**3 - 1\/80*t**5 + 0. Factor c(s).\nAnswer: -(s - 1)*(s + 1)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -130679, -261495, -392311, -523127, -653943, -784759?\n\"Answer: -130816*i + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045689 + -2.812571. Let v = t - -2.899. Let u = -0.04 + v. Round u to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycccycyccyyycyccyy. Give prob of sequence cccy.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 17. Let k be j(0). Suppose -3*n + k = -v - 11, -4*v = n + 112. Let b = v + 38. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2615 - 2278. List the prime factors of k.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - 4) - (-208)\/52.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6 - 9. Suppose 0*a + 2*u - 80 = -3*a, -5*u + 140 = d*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365789 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1\/3 (b) -2.5 (c) 1 (d) 665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, u: 8, s: 3, p: 1, z: 3}. What is prob of picking 2 s and 1 p?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t**3 - 7*t**2 - 2*t**2 + 73*t**3.\nAnswer: 6*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = 3*s. Let i be -4 + 0 + s - 0. What is the nearest to 1 in -4, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50115*d**2*f**2 - f**2 - 6450*f - 2 wrt d?\nAnswer: -100230*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 - 10*w + 12. Let k be s(5). Let f = 72 - k. Suppose -3587 = -f*g - 517. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1149.203 and 0.01987?\nAnswer: 1149.18313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11101453 to the nearest one thousand.\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200))**2*-1.\nAnswer: -216 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/2 + 101\/10. Let v be ((-24982)\/(-20))\/((-4)\/8). Let s = v + 2506. What is the common denominator of s and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15) + (8\/(-10) - -2). What is the greatest common divisor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38372215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765913322?\nAnswer: 2, 113, 3388997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4093?\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, m: 3, c: 1, y: 1, f: 2, p: 3}. Give prob of sequence fpzf.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/5 + 2889*s**3\/5 + 117777*s**2\/5 - 831789*s\/5 - 189336 = 0. Calculate s.\nAnswer: -920, -49, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = v - 0*k, 2*v + 2*k = -8. Let z(b) = 3*b**3 - b + 3. Let q(p) = 3*p**3 - p + 4. What is v*q(i) + 6*z(i)?\nAnswer: 3*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 7*f**4\/2 - 67*f**3\/6 - 10*f**2 + f. Is z(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3959691 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410 + 2557 = 65*m - 1648 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 759*l**2 + 2 - 4*l - 5 - 2*l**3 + 0 + 3*l - 761*l**2 to the form y*l**3 + a*l + t*l**2 + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8089872983?\nAnswer: 43, 71, 2649811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 128*a - 2821. What is n(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**3 + 2*f**2 - 2*f. Let s(b) = b**3 + b**2 - b. Let z(a) = q(a) - 5*s(a). Let o be z(2). Factor 0*t + 2\/15*t**o - 8\/15.\nAnswer: 2*(t - 2)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54456673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 7. Let b(z) = 2*z - 14. Let f(q) = 4*b(q) - 7*h(q). Let s be f(12). Let y(g) = -2*g + 6. What is y(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*b = f - 12, -b - 21 = -4*f. Suppose -20 = f*h - 80. Suppose 2*v = 6, -2*v = 4*d - 6 - 24. What is the highest common divisor of d and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 3 - -16 - 5) + (-1 - 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*x + 1)*(1 + 0 - 4) + (2 + 0 - 4)*((-4 - 4 + 6)*(-4 - 2*x + 4) + 4*x + 13*x - 9*x))*(5 - 9 - 10 + (-2 - 2 + 2)*(-3 + 4 + 1) + 5 - 3 - 1).\nAnswer: 306*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21064*h - 20949*h - 21086*h + 63100*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 4. Suppose 0 = 2*s + 3*s - 15. Calculate g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 14*w + 16. Let p(m) = 4*m**2 - 26*m + 28. Let x(i) = -7*h(i) + 4*p(i). Suppose x(t) = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1242, 26981 in decreasing order.\nAnswer: 26981, -16, -1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 658*w**2 + w. Let a(s) = 3*s. Calculate d(a(t)).\nAnswer: 5922*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 3*g. Let n(z) be the third derivative of -1\/24*z**4 + 0*z + 0 - z**2 + 0*z**3. Determine f(n(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v - 1. Let k(f) = 10*f**2 + 16*f + 16. Determine k(q) + 12*n(q).\nAnswer: -2*q**2 + 4*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8633 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 358917720 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26252000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8262 - 8266. What is the closest to 3 in -0.4, l, 0.3, 1\/57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9274.34 - -9436. Round z to zero dps.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 9\/6)*2. Let v be p - (-2 + (-1 - -2)). Suppose v*c - 9 = 9. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 1. Let r(j) = -2*j**2 + j. Let d(w) = 2*r(w) + 3*t(w). Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -56140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-24) + (-11)\/22. What is the third biggest value in -3, 2\/15, w, 24, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/3 + 3*b. Let x(s) = -s + 2. Let i(p) = 5*p - 11. Let j(r) = 2*i(r) + 11*x(r). Give h(j(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0 - 2*p**3 - p + 2*p**2 + 1 - 3. Let u be m(2). Let z be 2*3\/(u\/(-26)). Solve 4*d = -3*w - z, 5*d - 2*d + 2*w + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164174?\nAnswer: 2, 23, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*z - 25*z + 1447 = 1189 - 4796 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:49 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 9 = 5*l. Find h such that -h**2 + 3*h**3 - h - 3*h**l + 3*h**3 + h**4 - 2*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2538*o**3 - 5*o**2 + 15*o - 5. Let k(a) = -1502496*a**3 + 2961*a**2 - 8883*a + 2961. Give 5*k(g) + 2961*v(g).\nAnswer: 2538*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*r**2 - r**4 - 3*r + 2*r - 19*r**2)*(-3*r + 5*r - r).\nAnswer: -r**5 - r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29151, -116271, -261473, -464757, -726123, -1045571?\nAnswer: -1423101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -111522 from 15490.\nAnswer: 127012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2. Let t(x) = 3*x + 19. Let j(z) = 18*a(z) + 2*t(z). What is j(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 13 = -4*k - 0*k, 3*h = -4*k + 5. Put -1, k, 4, -15 in descending order.\nAnswer: 4, k, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -35*f - 728. What is the lowest common multiple of a(-21) and 165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(10\/(-28)))\/(((-7410)\/39)\/38)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 32 = -5*s. What is the lowest common multiple of s and 64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16243 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28\/(-12)*(-2 - 382)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089613 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -913\/155 - -9\/31. Which is greater: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 14*h - 15. Let x be a(-8). Suppose x = -5*f + 26. Let m(k) = -k**2 + 4*k + 9. Let u be m(f). Solve -8 - u = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 25*l - 276 = 0. What is the remainder when 1423 is divided by l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10707, 180.\nAnswer: -10707, 1, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.2987388 to one decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11394554 divided by 5?\nAnswer: 11394554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f + 124. Let m be n(-8). Suppose 3*b + 5 = 2*p, -4*b = -0*b + p + 3. Sort -2, 4, b, m.\nAnswer: m, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(12\/(-2) - -4). Let o(i) = -7 + 7*i - 2 + y. Let k(d) = -d. Calculate o(k(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose -l - 13995 = -2*w, -k*w + 5*l + 11934 = -2041. What is w rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/16 in -28, 22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2480)\/50*-5 + 12 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (1 + 7)\/8. Let y(w) = w**3 - 4*w**2 + w - 2. Calculate y(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.8058415.\nAnswer: 0.8058415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*s - 284*s = 82, 11*t = 6*t + 4*s + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -51*a**2 + 2*a. Let p(g) = 101*g**2 - 5*g. Give -2*p(b) - 5*v(b).\nAnswer: 53*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o + 1. Let h be x(6). Let q = -23 + h. Let j = 0 + -3. Sort q, -1, j in decreasing order.\nAnswer: -1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 7*h + 5. Let o be x(-6). Let k be (-60)\/(2\/o) - -2. Let v = k - 11. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 14 + 10 + 9*l**3 - 10*l**2 to u*l + w*l**3 + b*l**2 + m and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in nanometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 230*h**2. Let v(p) = -7*p**2. Calculate v(t(f)).\nAnswer: -370300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2419*s**4 + 3*s**3 - 2308*s**2 - 2 wrt s?\nAnswer: 58056*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.591 - -2.76676. Round p to three dps.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 912 + -8210\/9. What is the fifth biggest value in 0.7, -2, -1, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3501 and 63407?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485*t - 88 = 5*n - 1491*t, 15*n - 5*t = -t - 222 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 60*d + 25. Let k(n) = 5*n + 2. Let r(z) = 13*z - 29. Let t be r(8). Determine t*k(g) - 6*v(g).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 40, 13, -2\/3.\nAnswer: -2\/3, 0.4, 13, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let d = -15 + 15. Let y = w - d. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10573, 10571, 10569, 10567, 10565, 10563?\nAnswer: 10561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 724?\nAnswer: 7964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 3, f: 11}. Give prob of sequence rfxf.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 321, 218, -177, -960, -2227, -4074?\nAnswer: -6597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 2*z**4\/3 - 101*z**2 - 1. Let w(c) = -c. Let b(g) = -2*g. Let f(h) = -3*b(h) + 5*w(h). Calculate f(t(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1410\/11 + 128. Is -2\/23 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 18*q + 10. Let p be d(10). Suppose 5*n - 2*l - 2574 = 0, -p*n + 2583 = -25*n + l. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.8 + -80. What is the nearest to -0.4 in -1, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 3*g, 5*g = 5*d - 7 + 17. Suppose 0 - 4\/5*h - 2\/5*h**3 - 6\/5*h**g = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**4 + 6*k**2 - 4*k + 286. Let s(h) = 2*h**4 - h**2 + h. Let c(f) = -g(f) - 4*s(f). Differentiate c(x) wrt x.\nAnswer: -36*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 1:36 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9996)\/(-153) + -66 + ((-15)\/18)\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -50*d + 1435. Does 10 divide 2 - (-1346 - 9\/((-63)\/d))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16 - 2*g**2 + 3 + 6*g - 6*g wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 5) to base 11\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226238146919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.03 - -0.03. Let t = 4.3 + -4.4. What is the third smallest value in -5, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/42039 and -5\/346.\nAnswer: 84078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 5*d**2 - 4*d + 2. Let j be r(3). Let u be (-17 - j) + (4 - 0). What are the prime factors of (-132 + 2)*u\/(-12)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231218871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.01127 from -96.411204.\nAnswer: -97.422474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 3. Let x(f) = f + 10. Let n be x(-8). Let b(r) = -1. Let d(z) = n*b(z) + h(z). Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(45) + sqrt(25)\/(sqrt(5) + sqrt(10)\/sqrt(2)))**2 + (sqrt(320) + -1 + -3)**2.\nAnswer: -64*sqrt(5) + 6149\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + 4. Suppose 37 = 5*h - 183. Let n = i - h. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(4050)*-6)\/((sqrt(90) - (5*(sqrt(90) - sqrt(90)*-3) + sqrt(90)) - sqrt(90))*3))**2.\nAnswer: 6480\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -32 (b) -0.6 (c) 0.2 (d) 0.5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9177227 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1277, -1259, -1241?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 3*j - 28*j**3 - 28*j**3 + 62*j**3 - 1 + 2*j**2. Let i(v) = v**3 + v - 1. Calculate -i(t) + p(t).\nAnswer: 5*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 21 = -z, 45*z + 109735 = -j + 109742 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -492, -1044, -1828, -2850, -4116?\nAnswer: -5632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 60. Let y be -4*(c + (-7)\/(-2)). Let a(u) = -6*u**3 - 6*u**2 + 2*u - 7*u**2 + 18*u**y. Let w(o) = -3*o**3 + 3*o**2 + o. Give -3*a(g) + 5*w(g).\nAnswer: 3*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-14) - 48\/(-112).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -46. What is the closest to 2 in a, 1\/8, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 987, 2288, 4119, 6474, 9347, 12732?\nAnswer: 16623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745550827?\nAnswer: 1745550827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 45*f - 28. Calculate g(-8).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 44*j**2 - 18*j - 2. Give z(2).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 378\/(-752) - (-21)\/56. Let r = -129\/94 + v. Put 1\/2, -1, r, 4 in decreasing order.\nAnswer: 4, 1\/2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43636, -6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 + 14*n + 406. What is o(15)?\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288285*k - 3623458 wrt k.\nAnswer: 288285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least as big as -5022\/533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23944 divided by 2?\nAnswer: -11972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 6665*t + 26614. Calculate x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2040, 2062, 2084, 2106, 2128, 2150?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1184\/60)\/((-4)\/12). Let d = q + 29303\/495. Is 0 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/((-2)\/3*(-1188)\/264). Let c(p) = -7*p**2 - 7*p + 10. Let b(o) = 5*o + 14. Let f be b(-4). Let r(j) = -6*j**2 - 6*j + 9. Calculate f*r(u) + t*c(u).\nAnswer: u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000349718 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzaxggzrzaazggggzgaa. What is prob of sequence zg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - m - 2*m + 1245, m = -2*p - 836. Suppose 3*y + y + 672 = -2*o, -5*y = -o + 826. Let h = y - p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*q - 30 = -611*q. Suppose 10 = -q*p, -54*z = -49*z + 2*p - 6. Solve -z*b - 12 = -2*l, -l = 5*b - b - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(-24)\/((y*y**16\/y)\/y**(-6\/11)) assuming y is positive.\nAnswer: y**(-182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 58 + 29 + 23 - 4*g. Let q be j(4). Let i(a) = -a**2 - 1. Let m(r) = -3*r**2 - 2. What is q*i(z) + 3*m(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-42))\/(((-1134)\/2940)\/((-18)\/(-21))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6365)\/804 + 1\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26)*6\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjjbehebbjbej. Give prob of picking 1 b and 2 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -776 - -778. Solve -4*f + 18 = 3*l - 2*f, q*f = 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(8\/(-18))*39\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -19344 and 0.168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 241*r + 1941. Calculate the lowest common multiple of i(-6) and 15.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, -105, 367 in increasing order.\nAnswer: -105, 367, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121074994 + 2?\nAnswer: 121074996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -75. Let q be (-6)\/(-18) - 150\/k - 4. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -235094.\nAnswer: 2\/117547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -97391686 minus 5?\nAnswer: -97391691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 2\/18. Let d = 14.97 + -15. Let r = 3.03 + d. Which is the nearest to -1\/3? (a) 5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/7 + 1328*u**2\/7 + 12559*u - 5054.\nAnswer: (u + 133)**2*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 15*h + 14 = -2*d, 0 = -2*h - 3*d + 27 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21748775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 6*g - 6. Let s = 5 + 3. Is p(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155067, 310118, 465123, 620058, 774899, 929622, 1084203, 1238618?\nAnswer: 1392843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4824)\/(-90) + -31 + -26?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 + 205*w**2 - 878*w - 24613. What is z(-35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 + 67310*k**3 - 7769*k**2 - 31*k + 5?\nAnswer: -48*k + 403860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -25, -3, -2, 1.\nAnswer: -25, -3, -2, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5 - 5*j**4 + 745*j**3 + 2705*j**2 - 7600*j + 4160 = 0.\nAnswer: -8, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {o: 2, h: 4, c: 1, w: 4, y: 1, v: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16025600 divided by 320512.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i**3 + 10*i**3 - 5*i**3)*(2*i - 4*i + 4*i)*((-i + 0*i + 0*i)*(-3 + 1 + 3) + 3*i - i - 5*i + 4*i - i - 2*i).\nAnswer: 42*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, -29, 2\/3, -1053\/25 in descending order.\nAnswer: 2\/3, 2\/35, -29, -1053\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 - -2408\/13. Is -1 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/562975 and 109\/2477090?\nAnswer: 12385450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + 0 + sqrt(72))**2 - (sqrt(72) + -5*(-1 + sqrt(72))**2)) + (-2 + sqrt(72) + 0 + sqrt(72) - (-4 + 0 + sqrt(72)))**2)*3.\nAnswer: -54*sqrt(2) + 1551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -172*q**2 - 195. Let k(v) = -173*v**2 - 193. Let z(n) = 2*k(n) - 3*l(n). Differentiate z(s) wrt s.\nAnswer: 340*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -298*i + 2104. What is b(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s + 4*s)*(-4*s**3 + 2*s**3 + s**3) + 44*s**5 - 194*s**4 + 194*s**4.\nAnswer: 42*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39834*w + 39850*w - 119520*w + 39844*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -14 + 47. Suppose 2*l = -5*u - 6, -3*u - 4*l - 1 = x. Suppose 4*d - 2*p = u, 2*d - 2 - 6 = -p. Let s(h) = -3*h + 3. What is s(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -2, -6.\nAnswer: -77, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60518 + -28448. List the prime factors of y.\nAnswer: 2, 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:00 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239215191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u)**49\/(u**(-5)*u\/u**(-4)) assuming u is positive.\nAnswer: u**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -29*m. Let o(j) = -24*j. Determine y(o(b)).\nAnswer: 696*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 80. Let f be (-26)\/d + (7 - 3 - 3). Let q be (-1 + 1)\/(28 + -30). Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**4\/j))\/j)\/j*j*j*(j\/(j**(2\/5)\/j))\/j*j*j**(2\/3)*j*j**0*j*j*j*j assuming j is positive.\nAnswer: j**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.04. Let h = -2.96 - t. Let k = h - -5. Which is the second biggest value? (a) -3 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/277 + -5223\/2216. Calculate the common denominator of 118*(2 - 33\/16) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 63 = 301. Let q = u + -34. Let v = 57 - q. Solve v = -5*f - 0*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(4\/(-48)). Let z be (-45)\/(-4) - 3\/y. What is the greatest common factor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*r + 124*r = 6. What is the third smallest value in 61, -0.4, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-2)\/(-6)*378\/(-10). Let f = x - 39. Let z(p) = -p**2 - 9*p + 19. Calculate the lowest common multiple of z(-8) and f.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 830199 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3240\/70 - 4\/14. Suppose 2*i - 186 = a. Suppose 3*q = 25 + i. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**2 - 2*w**2)*(-2 + 2 + w**3 - 3*w - 2*w**2) + 2*w**5 + 5*w**5 - w**5.\nAnswer: w**5 + 10*w**4 + 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 830 and 1345347.\nAnswer: 13453470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17601855 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 7*v = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241 - -256. Suppose r = -3*s, -y - 2*y + 15 = 3*s. Solve -4*m + 5*a - 31 = -6, -m = 2*a - y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from rrrhzvrz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a9a97 (base 12) in base 15?\nAnswer: -dae554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 24*k - 650. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4967 + -6.5033. Which is the biggest value? (a) -4 (b) r (c) 0.1 (d) 0.8 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431515 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 15*z - 22. What is the tens digit of o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*o**3 - 2570*o + 2570*o.\nAnswer: 339*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*f = -5*f - 57, f - 83 = -4*c. Let w be (-2 - -3)\/((-4)\/c). Let x be -5 - 2\/(-1)*1. Put w, x, 3 in ascending order.\nAnswer: w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + 4 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = 8. Suppose m = 3*y - 1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1829, 3680, 5553, 7448, 9365?\nAnswer: 11304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:08 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) 1 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = -2*m, 4*s = -m - m + 10. Solve 4*z = f - 15, 0 = -s*f + 4*f + 3*z + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6998301 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 8*r + 18117 - 18181 = 0, -4*f + 40 = -5*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -5 + -3 + -1 + 5 - (12 + -24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13999039.2 to the nearest one hundred thousand.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 39382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 129?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 3}. What is prob of picking 2 f and 1 i?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -409*u**2. Let z(l) = 3*l**2. Determine b(z(s)).\nAnswer: -3681*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:10 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79)\/(-158)*(-2)\/(-13).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34227 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1608.669 years to millennia.\nAnswer: 1.608669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16053 or -16051?\nAnswer: -16051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30*3*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:35 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5063016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*d = 11, 0 = 2*d + d + 9. Suppose s - 3*j - 120 = -x*s, -j + 32 = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqiqddididddii. What is prob of sequence idqi?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 - 24*f**2 + 1305*f\/2 + 675.\nAnswer: -3*(f - 15)*(f + 1)*(f + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.3, 168, 15, 3\/1256?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9642 divided by -3?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 39 - (-4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 3*h, -h + 24 = h - 4*k. Let x = -0.007 + 3.107. Let t = x + -0.1. Is t bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/15*1 - -4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/8 - 5*i**2\/2 + 93*i\/8 - 63\/4.\nAnswer: (i - 14)*(i - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092709.\nAnswer: 17, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - 45262289*b\/2 + 67893433\/3.\nAnswer: (b - 135786866)*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/a**(-1\/2))\/a))**8\/(a**(1\/2)\/(a*a**(-1\/2)))*(a*a**(-1\/4)*a*a)**(-46)*(a\/(a**(1\/3)\/a))**(3\/23) assuming a is positive.\nAnswer: a**(-5993\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:11 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 38739.\nAnswer: -1\/38739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5006433\/3741020 - 1\/55015. What is the common denominator of k and 15\/238?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*b + 20, -2*b = -2*i - 3*i + 11. Suppose b*k = 14 + 6. Let g(f) = f**3 - 9*f**2 + 6*f. Let p be g(k). Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(3) + -2*sqrt(3) + 0)*1)**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 592*v + 1229 - 1229 to d*v + b and give d.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 - 60 = 80*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2, 0.95824, -0.07?\nAnswer: 0.95824","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, -0.01, 0.02, 2\/7, 2\/15?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22604707 is divided by 706?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 4*g**2 - 14*g + 14. Let p be n(6). Let m(u) = 6*u + 2. What is the lowest common multiple of m(p) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2156, -2172, -2186, -2198, -2208, -2216, -2222?\n\"Answer: j**2 - 19*j - 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996549619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -10, -1 in increasing order.\nAnswer: -14, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n**2 + 5*n**2 - 49*n**3 + n**2 + 6*n**2 - 30*n**2 - 39*n**2.\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -0.5, -6.7, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in -4779, 0.3, 4, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -169*c - 1. Let j be f(-3). Suppose 4*b + b = 2*d - j, -2*d = 4*b - 506. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 15*m**2 + 23*m + 37. Let p be c(13). Let x(w) = 4*w**3 - w - 5. Let y(u) = -2*u**3 + u + 2. Give p*x(b) - 5*y(b).\nAnswer: 2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 40\/23057069?\nAnswer: 40\/23057069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.4 + 3.4. Suppose -2*g + 2*u - 25 = 3*u, 0 = 3*g + 4*u + 50. Let y be ((-4)\/g)\/((-184)\/(-40)). Sort j, -2\/7, y in decreasing order.\nAnswer: y, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 853755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.007999 and 0.8.\nAnswer: 0.792001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2407\/464 - (-21)\/(-112). Solve 5*z - 27 = 2*b - 9, -z = -g*b - 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2\/7 (c) 0.0203167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7232 - 28928 + 7232 + 7229 + 7234 + 2*q.\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and 3875843012.\nAnswer: 3875843005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - x. Let w be d(1). Let t be -2 + w - 1 - -22. Let i = t - 12. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/((-4)\/16). Suppose o - j = 4. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, b: 10, p: 4}. What is prob of sequence bm?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 1a367?\nAnswer: 1a369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.4, 11 in ascending order.\nAnswer: 0.4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-8 - -4) - ((1 - -8) + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32670233039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2319 or -280534\/121?\nAnswer: -280534\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4197 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 0*q - 1\/24*q**5 + 7 + 0*q**4 + q**3 + 0*q**2. Let l(i) be the third derivative of u(i). Let f(k) = -k. Calculate l(f(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4849*c - 858262. Give d(-177).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9708*0.1.\nAnswer: 970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -47. Let c be (5\/(-6))\/((-2)\/k). Suppose 5*s = -m + 10, 0*m - c*s + 25 = -2*m. Sort -17, -4, m in increasing order.\nAnswer: -17, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 5*k - 2. Let h = -65 + 70. Let q be i(h). Let z = q + -156. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(44 - 25 + 205*r + 96*r - 19).\nAnswer: 301*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15071*i**2 + 15*i - 6. Let m be c(-2). Round m to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x - x**2 + 4*x**2 + 4*x**2 - 6*x**2.\nAnswer: x**2 + 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 51916305305.\nAnswer: 51916305309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29015 divided by -5?\nAnswer: 5803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10959400 and 1850.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 2*p**2 + 31*p**2 - 2*p**2.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448776 less than 2448776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 0.06. Which is the closest to v? (a) -0.3 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(((-95)\/(-19))\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**4 + 17*l**3 - 22*l**3 + 2*l**2 + 8*l**3 - 49*l**4 as n*l**3 + i*l + j*l**2 + y + r*l**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from wwwwwwwawwawwwwwwwww?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 65c82?\nAnswer: 65c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 9*w**3 - 55 + 11*w**3 - w**3 - 4*w**3 to the form p*w**3 + f*w**2 + i*w + n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)\/(h\/(h\/h**(-10))))\/(h**(-2\/3))**(28\/5))**(-2) assuming h is positive.\nAnswer: h**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5*i = -5*o + 6, o - 1 = 0. What is the least common multiple of (-24)\/56*(-6 + i) and (-18)\/8*(-8)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**2 + 2*x. Let a(u) = -10*u**2 + 2*u + 0*u + 0*u. Let p(t) = -4*a(t) + 5*w(t). Find the second derivative of p(o) wrt o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 0.2 (c) -1.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 4280.\nAnswer: -55640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3902*l + 351167. What is x(90)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -0.0401\nAnswer: -1.1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3552 + -3549 + (1 + 17 - (4 + 1 - 8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**3\/6 - f**2 + 3*f. What is the tens digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d + 2*d)*(1753 - 2235 - 2570)*(d**2 - 2*d**2 + 0*d**2).\nAnswer: -6104*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*t**2 + 2*t**3 + 57*t**2 + 25*t**2 + t**4 - 7*t**3 wrt t.\nAnswer: 24*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**3*c**(-43)*c*c*c assuming c is positive.\nAnswer: c**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 7. Let a be g(-7). Let p = a - -24. What is the highest common factor of p and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.29388 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-37)\/(-7) + (-40)\/140. Are -2 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 6 - 5)*(-1 + 1 + 6*x).\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 1 + (sqrt(3) + (sqrt(9)*1)\/sqrt(3))**2.\nAnswer: 6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 25, o = 3*v - 3*o - 1040. Suppose 4*y = j - 65 - 39, 4*j - v = -3*y. Does 17 divide 3 + j\/(2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzss when four letters picked without replacement from {s: 3, z: 1, r: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39486866 a multiple of 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 46 = -m + d, 0 = m - 2*d + 48. Let k(a) = -10*a**2 - 4. Let c be k(2). Are c and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 7*b**2 + 7*b + 82. Calculate j(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9197468 = -32*w + 4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13777 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*-2)\/((-12)\/8). Suppose 0*x - k*x - 235 = -5*v, -5*x = -25. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niiiiiininniiniiii. What is prob of picking 3 n?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 - 21*o - 3. Let y be 2\/(-3 + 0 + 2) - 15. Let h(n) = 2*n**2 + 7*n + 1. Calculate y*h(d) - 6*s(d).\nAnswer: 2*d**2 + 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a factor of 74214860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 - b**3\/4 + b**2 + b.\nAnswer: -b*(b - 2)*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g - 0. Suppose -9*v = -15 - 30. Put 3, -4, v, g in ascending order.\nAnswer: -4, g, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.61 (b) -2\/9 (c) -1\/6 (d) 1 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*j + 172*j - 4 = 0. Let o(n) = -n + 4. Let u be o(9). What is the nearest to -0.06 in -3\/5, j, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373993 or 13?\nAnswer: -373993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9\/(((q*q*q**(2\/61))\/q)\/q))\/((q\/(q\/q**(-3\/4)*q))\/(q\/q**(-9\/7))))**(4\/9) assuming q is positive.\nAnswer: q**(7403\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*r**2 - 19 + 153*r**2 + 174 wrt r?\nAnswer: 356*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38373247?\nAnswer: 11, 1283, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 30 = -2*k, 2*l + 16 - 8 = -3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.286 times 2.4133\nAnswer: 3.1035038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877958158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15*-2 - 28\/6. Let p = -0.2 - 0.3. What is the nearest to p in 2\/3, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1956 - -13735\/7. Calculate the common denominator of x and (1 - (-16)\/(-18))\/((-931)\/(-1911)).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -65, -157, -273, -407?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 2 - 7 - 6*g. Let i(u) = -2*u + 1 + 2*u + u. Let a(t) = -7*t - 8. Let j(k) = -a(k) - 6*i(k). Determine -2*h(y) - 9*j(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*v**2 + 97*v**2 + v - 4*v + 3*v - 203*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 10*c**2 + 30*c - 122. Let j be x(8). What is the nearest to 0 in 3, j, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-17.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*z = -73*z + 672 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:38 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 45*b - 1186. Let t be c(72). Calculate the highest common divisor of 52 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*b + 1069 + 832 = -1006 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -304 - -28. Let z = -1089\/4 - n. Find the common denominator of -20\/3 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 455, 417, 337, 209, 27, -215, -523?\n\"Answer: -k**3 - 15*k**2 + 14*k + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:53 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 456612 = 3*u + 134324, 2*u - 3*j - 214833 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 11, q: 2}. What is prob of sequence qggg?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 7 + 0 + 26 + 1829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Sort 1, -5, d.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8004801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -96852 + 5\nAnswer: -96847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 675807281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-39)\/r**(-3\/29) assuming r is positive.\nAnswer: r**(-1128\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289\/566 - -3\/283. What is the closest to -20 in w, -3, 1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r**2 + 132*r + 42. What is u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) -5\/8 (c) -0.5 (d) 54 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 12) in base 7?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534 (base 8) to base 3.\nAnswer: 110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6968562649 + 1\nAnswer: 6968562650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/20*-1 + 0 + -25 + (-230850)\/(-6750).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49407357.\nAnswer: 3, 107, 149, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 + x**2 + x - 1. Let i be l(-1). Let s = -47 + 44. Which is the third smallest value? (a) 6\/7 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 100950?\nAnswer: 100964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 9. Let f be n(12). Solve 5*y = -f*w - 17, -2*w + y = -2 + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwypyppwpyypywawahy. What is prob of sequence aa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/3))**(-8\/11)*(u**(-1\/2))**(2\/69)*((u**(-5)*u)\/(u\/(u**(-4\/5)*u)))\/((u**(3\/5)*u)\/(u\/(u*u\/u**(-7)))) assuming u is positive.\nAnswer: u**(-59303\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 55*h**2 + 85*h - 53. Let i be s(-8). Suppose 4203 = 4*q - 5*a, -316 = -q + 2*a + 734. Let p = i - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13945394 to the nearest integer?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44843269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:20 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cua when three letters picked without replacement from ahuchhluhh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/11 (c) 0.14 (d) 1 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*i**3 + 7524910*a**3 + 22*a**2*i + 2*a**2 - 9836*a*i**3 wrt a?\nAnswer: 6*i**3 + 45149460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491 - -450954.697?\nAnswer: 453445.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 5}. What is prob of picking 1 g and 1 d?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136\/1501 + -3\/79. Let r = -9 + 14. Suppose r = -4*y + 1. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221\/((-172380)\/(-13104))*(-10)\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 6. Let k(n) = 304*n - 34. Calculate -k(i) + 6*m(i).\nAnswer: -292*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 187 = -56. Solve -4*w = p + s, -2*p = 9*w - 4*w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 3, s: 1, r: 5, q: 10}. Give prob of picking 2 r.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 313.5577 litres?\nAnswer: 313557.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10301030 - -1001?\nAnswer: 10302031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14315 divided by -35.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by -459797\nAnswer: -15\/35369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -4, -4.2, 0.4, -7, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4608 = -8*b. Let q = b - -652. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/378 and 29\/6156?\nAnswer: 43092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a + 4*a - 4*a - 6*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556953456.\nAnswer: 2, 3, 17, 89, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 3835250?\nAnswer: 7670500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413312215 (base 6) to base 10.\nAnswer: 7163507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 328997\nAnswer: -986991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 2688*n**4 - 2 + 2556*n**4 + 2*n**2 - 2*n to the form m*n**2 + z*n + o + y*n**4 + u*n**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 3. Let a(t) = -t - 5. Let g be a(6). Let h(y) = 17*y - 8. Let c = 15 - 11. Calculate c*h(i) + g*p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-7)*x)*x)*((x\/(x*x*x**(-2\/7)))\/x)\/x)**(-47)*(((x*x*x**(-3))\/x)**14)**(-2\/9) assuming x is positive.\nAnswer: x**(26195\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - u + 2. Let x be (-1)\/(4 + (-168)\/(-40) - 8). Let f(y) = y**2 - 1. What is x*f(g) - i(g)?\nAnswer: -g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 14*n + 26. Let f = n - -5. List the prime factors of (2 - f)*(0 - -6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 64*b**2 + 1. Let h be 4\/6 + (-1)\/(-3). Let v be n(h). What is the greatest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 3*g**2 + 2*g**2 + (-g + g - 2*g)*(g + 0*g - 3*g) - 2 + 2 - 3*g**2 - 4*g**2 - 23*g**2 - 16*g**2 in the form q*g**2 + n + j*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 m when four letters picked without replacement from {m: 10, a: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175776*l**3*o**3*s + 3*l**3*o**3 - 2*l**3 + o**2 + 2917*o wrt s.\nAnswer: -175776*l**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3 + 5*z**2\/2 - 6*z - 4. Let q be d(-5). Calculate the greatest common divisor of 110 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -39.4. Which is the closest to 2? (a) l (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59936034559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321933456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1178 = 1179, -d - 3*k = 4. Which is the nearest to -7\/3? (a) d (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -3 - 23) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*y - 143 = -137, -4*x + 3*y - 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (220\/(-6))\/((-18)\/27). Let m = -48 + v. List the prime factors of m*(-450)\/70*20\/(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 19 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 4224?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1246 by 1.\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/(q\/q**(-2\/11))*q**(-3)\/(q*q**10) assuming q is positive.\nAnswer: q**(-523\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495210560?\nAnswer: 2, 5, 109, 71537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/(-2) + 7 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199*392\/(-19502))\/((2\/36)\/((-2)\/3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 505275 (base 12) to base 7\nAnswer: 13436402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q + 10*q - 1986 = -642 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - 8*q - 8. What is the remainder when 53 is divided by u(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31893 + -31603.02. Let v = -290 + t. Put v, 0.2, -1\/4 in descending order.\nAnswer: 0.2, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 15, 1, 3 in descending order.\nAnswer: 15, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2574, 5110, 7646, 10182?\n\"Answer: 2536*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let n(x) be the first derivative of 4*x**2 + x + 10. List the prime factors of n(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 1171*v**2 + 12*v**3 + 3 - 1193*v**2 + 2362*v**2 to the form t*v + x + d*v**3 + y*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 32 = 4*s + s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 10 - (-11 - (-15 + 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 8, w: 4, t: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8024\/7*i - 12\/7*i**2 + 2676\/7.\nAnswer: -4*(i + 669)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8982143ns to hours.\nAnswer: 0.00000000000052728175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let k(t) = 7317379*t. Give f(k(n)).\nAnswer: 107088070859282*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 422\/((-37)\/(-11) - 3). Let o = p - 1192. Find the common denominator of -85\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3694*a + 66 = -3683*a. Let u(k) be the second derivative of 1\/190*k**5 - 1\/285*k**a + 3*k - 1\/57*k**3 + 1\/114*k**4 + 0*k**2 + 0. Factor u(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-7)*t))**(-47) assuming t is positive.\nAnswer: t**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.7 + 0.3. Let a = -23.8 + l. Let n = a + -2.200128. What is n rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 - 79*j + 2. Let c be (-5 + 1)\/(3 + -4) + 10. What is the lowest common multiple of 81 and u(c)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-10) + 6\/(-15). Suppose -2*y + m = 2*y. Let q = -8 + 17. Calculate the smallest common multiple of q and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -25. Let d(v) = v**3 + 4*v**2 - 4*v + 1. What is the least common multiple of p and d(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:04 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(0*u**3 - u**3 + 0*u**3) + (-1 + 1 + 3*u**2)*(3*u**2 + u**2 + 0*u**2).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -515.127 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13362, -50901, -112616, -198501, -308550, -442757?\nAnswer: -601116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h - 1464 = 206*h - 8749 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/(-864)*(-4)\/(-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4445660457?\nAnswer: 3, 7, 79, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 122?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/78*(5994\/(-60))\/(-27)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b - 1 = -y, 2*y = 8. Suppose -b*x - 27 = -18. Let a be 0 - (0 - 0\/1). Sort x, a, 3 in ascending order.\nAnswer: x, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113436 and 311949?\nAnswer: 1247796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) 21 (d) -11 (e) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4841?\nAnswer: 4\/4841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11453*f**3 - 4412*f**3 - 7063*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from rzwzbpebzrb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1106.\nAnswer: -2\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-9 + -3)\/(-4). Let z(j) = j**3 - 4*j**2 - 5*j + 9. What is the tens digit of z(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9851.\nAnswer: 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12954.42186 minus -0.5?\nAnswer: -12953.92186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 - -231. What is the highest common factor of 93 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 20 + 40. Let t be 16\/20 - 8\/m. Solve -5*z + 5*q + 2 = 7, t = -2*z - 4*q - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-3)\/(-84)*4). Let h(p) = -34 + 19 + b - p + 11*p. Let r be h(3). What is the greatest common divisor of 319 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m + 53 = 177 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 20, g + 8*x = 11*x - 11. Suppose -5*w - 4*f - f + 55 = 0, -g*f = w - 26. Solve -4*p + 16 = -3*d + 5, 0 = 2*d - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41578917, 83157836, 124736755, 166315674, 207894593, 249473512?\n\"Answer: 41578919*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034268338.\nAnswer: 2, 17, 5009, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*t**3 - 1952*t**3 + 968*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.517 and 22.\nAnswer: -693.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 - 12 = 0. Suppose r = -n*u - 4*r + 35, -2*r - 55 = -3*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*o**3 - 136*o**3 - 140*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*g**3 + 36*g**3 + 35*g**3 - 9*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113761690?\nAnswer: 2, 5, 7, 1625167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*o - 8*o**2 - 39*o)*(-5*o + 3*o + 0*o) - 579*o - 15*o**3 + 579*o as y*o + c*o**2 + k + p*o**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 34282 + 10078. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2 and 33\/29974.\nAnswer: 29974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 65\/8, -12\/11 in descending order.\nAnswer: 65\/8, -12\/11, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -487, -999, -1509, -2017, -2523, -3027, -3529?\n\"Answer: n**2 - 515*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 662083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/6*(-66)\/44. Let o(g) = 7*g - 119. Let s be o(i). Sort 4, 0, s.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 43 = 3*q - 33, -5*s + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 92247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56580179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.40756 milliseconds in hours?\nAnswer: 0.0000440021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = 4*l. Suppose 0 = f + 4*f. Let a be (-32)\/12*(-27)\/216*-12. Put l, a, f, -3 in increasing order.\nAnswer: l, a, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -17*j**2 - 10*j + 7976. Let v(d) = -27*d**2 - 16*d + 11963. What is 5*v(h) - 8*x(h)?\nAnswer: h**2 - 3993","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 2 p when four letters picked without replacement from lhlpsffphlsl.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.8. Let z = -72 + 71. Which is the smallest value? (a) 5 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xalaarlxxrhlhad. Give prob of sequence rada.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9018.41955 to the nearest ten.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672566559.\nAnswer: 3, 17, 31, 774313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 - 7*f + 1. Suppose -5*o + 3*o = -2. Let q = -7 + o. Is g(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 63.1?\nAnswer: 1514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -34 + 51 + (10 - -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 23*s + 60. Let x be o(-20). Suppose x = -5*f, 0 = -2*u - 3*u - f. Let l = u - -13. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**2 + 41*l + 4. Let x be u(7). Let z be (x\/3)\/((-1)\/(-63)*-1). Calculate the greatest common divisor of 28 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104210 + -4.22\nAnswer: 104205.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**2*m**2 + 29*l**2 - 57*m**2 + 26*m wrt m.\nAnswer: -20*l**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f + 12 - 3*f + 13*f - 12*f + 39*f as q + h*f and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9*16\/1008*21)\/15. Determine f, given that 0 - t*f**3 + 13\/5*f**2 + 0*f = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-72))\/((-3)\/(-9))*9\/3. Let x = 21.9 + 0.1. Which is the fourth smallest value? (a) 0.4 (b) y (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*c + 8*c = 20470, 5*c = 0. What are the prime factors of j?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 377.3473 years?\nAnswer: 4528.1676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7803361*t**3 - 3*t**4 - 405 + 7803361*t**3 + (-7*t + 2*t + t)*(0*t**3 - t**3 - t**3) to the form p*t + k*t**2 + u + o*t**3 + d*t**4 and give u.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -906.86 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.72 + -11.8. Let o be 15\/20 + (-5)\/4. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 2, e: 14}. Give prob of picking 2 e.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from lveylyqv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a50b8256 + -3?\nAnswer: -a50b8259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:50 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.01802 * 734\nAnswer: -13.22668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -44*i + 314. Calculate h(13).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1431, -7167, -21483, -48669, -93015, -158811, -250347?\nAnswer: -371913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 4*z**3 + 2*z**3)*(-4 - 1 + 3) + 7*z**3 + z**3 - z**3 + (674*z**3 - 324*z**3 - 296*z**3)*(1 - 2 + 3).\nAnswer: 113*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + 29 - 31 - 3*n + 9*n + 14*n + 13*n + (-1 + 0 + 0)*(0*n + 2*n - 4*n).\nAnswer: 40*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/62983163?\nAnswer: -1\/62983163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28530, -113756, -255660, -454230, -709454, -1021320?\nAnswer: -1389816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1336, 1340, 1346, 1354, 1364, 1376?\n\"Answer: g**2 + g + 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*r**4 + (-60*r + 60*r - 41*r**2)*(0*r**2 - 2*r**2 + r**2).\nAnswer: 39*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6931 and 928.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31009 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 298.495?\nAnswer: 895.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -299.5?\nAnswer: 299.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(-26)\/624*(-112)\/20.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb05 (base 16) to base 8.\nAnswer: 335405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Suppose l*u - 4*u = -8. Suppose -5*j - u = -7. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1592 - 3881\/796. Calculate the common denominator of j and -2\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = -5*y + 30, 4*y - 22 = -2*w. Suppose 0 = -3*a + 12, j - 5*j - y*a + 20 = 0. Solve 0 = v + j, -7*v - 26 = -4*d - 2*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552888?\nAnswer: 2, 3, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1685*n + 850*n + 879*n.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -158802.518 rounded to the nearest ten?\nAnswer: -158800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 2 o when four letters picked without replacement from {v: 4, q: 2, f: 1, o: 2, y: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 6. Let t be d(-10). Let y = 62 + t. Suppose -i + 37 = -4*g, -2*i = i + 3*g - y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 9*c**2 - 5. Let b be q(7). Let s = -44 - b. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3 + 88\/6. Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = -1. Let g(v) = -4*v. Let c be g(s). Solve -4 = 4*i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - p**2 - 3 + 3*p**2 - 6*p - 4. Let c be v(-3). Suppose -20 = 4*k, k + 1 = 3*m + c*k. Are 3\/5 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 14, 4, -22, -70, -146, -256, -406?\n\"Answer: -p**3 + p**2 + 4*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 5. Let d be y(1). Let t = 16 + -12. Let q be (-4 + t)\/(-1 + 3). Sort d, -4, q in decreasing order.\nAnswer: d, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 778024.737 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -10*f + 7*f + 196, -2*l + 388 = 5*f. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11168?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15429259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12641575 (base 9) in base 12?\nAnswer: 2103b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3320551 - 2879449. What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 0.1. What is the smallest value in -0.2, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114.7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -111133142?\nAnswer: -111133134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4364 and 2?\nAnswer: -0.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - 3*v**2 - 3. Let o(m) = 44*m**3 + 37*m**2 - 6*m + 31. Let b(a) = a**2 - 2*a - 1. Let q(n) = -3*b(n) + o(n). Give 6*q(h) + 68*s(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 5. Let u be d(-7). Find the common denominator of ((-105)\/20 - u)\/2 and 17\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**12\/i*i\/(i\/i**(-4)))\/(((i*i**3)\/i)\/(i*i**(2\/15))) assuming i is positive.\nAnswer: i**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256781 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32340481469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 - w + 6. Let s(b) = -b + 5. Let t be s(0). Let f be a(t). Solve 1 = 2*u - 2*m + 5*m, -2*u - m = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3650\/8253 + 2\/917. Let b(c) be the first derivative of 1 - 4\/3*c**2 - d*c**3 + 4*c. Factor b(a).\nAnswer: -4*(a - 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + s + 113 - 308, 0 = -m + 3*s - 46. Let j = -34 - m. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = 9*k - 334075. List the prime factors of k.\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 3*a - 4. Let w = -6 - -9. Let m be v(w). Suppose 0*h - 95 = -m*h. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {g: 6, x: 1, u: 1, l: 5, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -73*z**2. Let k(u) = 6*u. Determine v(k(s)).\nAnswer: -2628*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 863, -208, -3 in descending order.\nAnswer: 863, -3, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.365 + -0.325. Let j = h - 12. Let z = j + 0.26. Sort z, -0.1, 6 in decreasing order.\nAnswer: 6, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 40 = 2*n - 74, 5*n - 284 = -3*z. Suppose -i = 4*t - 42, -2*i - 4*t - n = -138. Suppose 2*l + 3*k - 132 = -l, -l + i = -2*k. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32742 divided by -18.\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24873 + 5338?\nAnswer: 5338.24873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 5, g: 10, x: 2}. What is prob of sequence xgl?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -3*m**5\/10 - m**4\/12 - 8*m. Find the third derivative of b(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000319014 to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.1 + -7.56. Let f = i + -0.34. What is the third biggest value in 0.08, 2\/13, f?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77528 - 673.4695\nAnswer: -78201.4695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8269.702 - -8260. Let u = 0.198 - b. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1344)\/98)\/16*14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/3 + 2. Suppose n*l - 5 + 11 = 0. Let x be l\/(-4)*(-2 - 4). Let z(k) = k**3 + 4*k**2 + 2*k. Give z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.19154g to micrograms.\nAnswer: 8191540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8219.09 millennia in centuries?\nAnswer: 82190.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 134085.3*1.4\nAnswer: 187719.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874704.211 + 0.033?\nAnswer: 6874704.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10116 + -9985. Which is smaller: -0.067 or j?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5617163 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*-4)\/(-20*3\/8*2\/20)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 - -1906\/3. Let w = d + 30. Suppose w + 1\/3*u**2 + 2\/3*u = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 82*h - 564.\nAnswer: 2*(h - 6)*(h + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:52 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/3)\/(a**(4\/15)\/a) assuming a is positive.\nAnswer: a**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -5. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/114*52345\/(-82650)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(91))\/sqrt(7) + -6*sqrt(13)*3)*-4 + -1)**2.\nAnswer: -136*sqrt(13) + 60113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (14 - 9)) + (-1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2208\/(-120))\/46)\/(4\/18)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.0478849?\nAnswer: 0.01915396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -334.3 and 0.06.\nAnswer: -334.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22144022 + -10?\nAnswer: 22144012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-16))\/((-27)\/(-3)*49\/(-588)). Let i = -1.6 + 2. Let d = -0.1 - -0.2. Which is the closest to 2? (a) q (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.266 - 0.156. Let n = -2.619 - 11.271. Let l = n - w. Which is the closest to -1? (a) 2\/9 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2012051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -751\/12 + 181\/3. Let s = 1 - 2. Let h be (-4)\/6 + s\/3. Are h and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -58 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73093 is divided by 23184.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 + (-1 + 4 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67638.6 milligrams to kilograms.\nAnswer: 0.0676386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -333abb0 (base 13) to base 5\nAnswer: -13010011321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.131*-10\nAnswer: 1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128 + 56 + 49 - 115*d**3 - 383*d**3 - 2*d**3 + 2*d**3 - d**3 + (d - d + d)*(-2*d**2 + 4*d**2 - 4*d**2) + 2*d**3 + 0*d**3 - 3*d**3.\nAnswer: -502*d**3 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.9 + -59. Let f = w - 0.9. Put f, -0.1, 1 in increasing order.\nAnswer: -0.1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -115.3534?\nAnswer: -23.07068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 6, x: 3, g: 7}. What is prob of sequence gd?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6887 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173.379 - 0.379. Let s = v - 106. Let f = s - 67.068. What is f rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, m: 4, y: 2, f: 1, e: 1}. Give prob of picking 1 f and 3 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -11 (c) -1066 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13512, 28834, 44158, 59484?\n\"Answer: i**2 + 15319*i - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + l**3 - l**3)*(5*l + 5*l - 5*l + (-l - l + 3*l)*(-2 + 1 - 1) + 2*l + 0 + 0).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/117)*d)**(2\/7))**(35\/2) assuming d is positive.\nAnswer: d**(595\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861a (base 11) in base 2?\nAnswer: 10100101001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -s - 18, 0 = u + 4*s + 3 + 4. Suppose 0*d - 2*d + 3*f = -7, 4*d + 3*f + u = 0. Is 3\/109 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 + 0.0105\nAnswer: -191.9895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 - g - 12 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 18. Let j be 5\/2*o\/(65\/(-6)). Is (122\/4)\/(j\/(-6)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 - (-3 - 0 - -16 - (123 - 105))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497 divided by -1.\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8458*c + 347439. What is r(-41)?\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 20*t + 5969. Let w be x(-87). Suppose 882 = 4*j - 518. Calculate the highest common divisor of w and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/1*(66\/4 - 11). Let c = v + 566. Let s(p) be the first derivative of -p**3\/3 - 3*p**2 + 6*p + 1. Determine s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1\/5*x**3 + 1\/300*x**6 + 6*x**2 - 1\/12*x**4 + 1\/150*x**5 + 0*x + 0. Factor m(d).\nAnswer: 2*(d - 1)**2*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 7:23 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - -2*(-742)\/(-56). Calculate the greatest common divisor of x and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 3. Let m(y) be the first derivative of -y - 38. Determine -2*m(j) - q(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) -52 (c) -811 (d) -11.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f. Let y(r) = -63*r - 58806. Give q(y(j)).\nAnswer: -504*j - 470448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -272, -408, -544, -680, -816?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9450 by -1.\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 61 - 17*j)*(4 - 4 - 1)*(2 - 1 + 2)*(-12*j**2 - 5*j**2 + 9*j**2).\nAnswer: -408*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - sqrt(3)*1) + 3)**2*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a + 3*a)*(-a - 3*a + 5*a)*(-25*a - 266*a - 89*a) as l*a**2 + n*a**3 + c*a + h and give n.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4 = -6. Let f = k + 2. Suppose 3*j + 15 = 0, -2 - 5 = -f*v - j. Sort v, 4, -2 in descending order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 11*r + 55. Let z be a(-7). Calculate the highest common factor of z and 1178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 8. Let k be 6*c\/6 + 18. Calculate the highest common factor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 390*w + 8588. Let f be s(-22). Calculate the greatest common factor of f and 974.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -253*x**2 + 446*x + 124. What is v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 13*r**2 + 22*r - 10. Let b be q(-11). Calculate the common denominator of 58\/27 and (-9)\/(-21) + (2860\/357)\/b.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imwx when four letters picked without replacement from ccccccxicmcccxcmwm.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5199.47mm to nanometers.\nAnswer: 5199470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 3132 = 19*j - 299*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*k - 408*k + 141 = 48*a, -9 = -4*a - 3*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 0, 5*x - 26 = -m - 9. Suppose m*j = 4*j. Let f(r) = -r**3 - r**2 + 4. Let h be f(j). Solve p + h*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/254 and -44\/7?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 67 = -3*c, -68*i + 72*i - 3*c + 59 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517218 a multiple of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, -57, 5 in ascending order.\nAnswer: -57, 5, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 - 56*n**2 - 52*n + 805138 with respect to n.\nAnswer: -6*n**2 - 112*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 141, 226, 329, 456, 613?\n\"Answer: w**3 + 66*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12850 - 18321132.\nAnswer: -18308282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85026317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -25328.\nAnswer: -25312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847936.\nAnswer: 2, 3, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**14\/b**19)\/(((b\/b**(1\/8))\/b*b)\/b*(b\/b**(-2\/41))\/b))**(-8\/15) assuming b is positive.\nAnswer: b**(323\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -642 - -7?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1442 - -32556?\nAnswer: 31114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 2. Let u be f(0). Suppose 0*h - 6 = -u*h. Solve -x = -h*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/28 - 37*m**3\/7 - 216*m**2\/7 + 2*m + 2406. Find h such that p(h) = 0.\nAnswer: -72, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 + 5*n**3\/2 - 3*n**2 + n. Let z be u(11). Suppose 2 = -t + z. Calculate the highest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -19. Suppose 15*f + h = 18*f. Solve -40 = f*a - 4*b - b, a - 3*b + 17 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in 0, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -169, -249, -329?\n\"Answer: -80*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -79. Suppose 5*y = -k*y + 50. Suppose -3*q + 5 = -y. Solve -q*o + 24 = -3*u - 11, -6 = -2*u - 4*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - 3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 2*c**2 - 4*c - 3. Let x be k(-2). Suppose -2*w + 139 = -x*p, 5*p + 57 = -w + 2*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 18*c**3 + 1041*c**2 - 162*c + 695. What is t(-58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*s + 208*s - 100236 = 0. What are the prime factors of s?\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2881 + -2877. What is the smallest common multiple of 980 and w?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 43*g + 38 = 0. Let n(p) = 7*p + 1. Let q be n(6). Suppose 30 = g*d - q*d. Is d greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:24 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116833 by -3141.\nAnswer: -116833\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202\/9811 - 89679119\/156976. Let n = 567 + k. Find the common denominator of n and 0 - (63\/(-2))\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -103.\nAnswer: 20\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*x**2 - 6*x + 720.\nAnswer: -3*(x + 6)*(7*x - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 35177.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 + 0.26. Let r = -0.05 + k. Let i = 0.9 + 0.1. What is the nearest to -0.1 in r, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 = -a - 5, 5*a = -2*g + 12. Let z be (79\/5)\/(105\/25 - a). What is the greatest common divisor of z and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/158243 or 1?\nAnswer: 19\/158243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 917\/150 - 132\/25. Which is the closest to -5? (a) 3 (b) 1 (c) -2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-722)\/(-66) + (-2468)\/(-40722)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*y - 38 = -3*y, 8 = -4*y. Let x = 4 - -1. Calculate the highest common divisor of x and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w**3 - 9165*w**2 + 9165*w**2.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004172 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18358 or 146853\/8?\nAnswer: 146853\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -501, -1012, -1697, -2556?\nAnswer: -3589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {a: 4, d: 1, u: 2, j: 7, c: 3, w: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3951647)\/81753*(-3*1)\/6. Let c = s - 6\/3893. Find the common denominator of -57\/14 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 - 53*w**2 - 45*w + 259. What is n(9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 13. Let x = -402 - -396.4. Let s = x - v. What is the nearest to 2\/5 in s, -4, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372695*a**3*q**4 - 21*a**3 + 354*a**2 - 14*a*q**4 - 58*a wrt q.\nAnswer: 1490780*a**3*q**3 - 56*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18536218 is divided by 726?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(2*11\/(-99)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10*m*(m*(m**(3\/11)\/m*m)\/m)\/m)\/((m\/m**(1\/6))\/(m*m**(1\/6))))**(-1\/26) assuming m is positive.\nAnswer: m**(-175\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:29 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31\/(-124))\/((-2)\/(-8)*1). Let x(o) be the third derivative of -o**6\/120 + o**3\/6 + o**2. Let a(m) = 4*m**3 - m - 5. Give b*a(w) - 5*x(w).\nAnswer: w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19151 <= -0.3924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + x)*(-2*x + 36*x**3 + 2*x**2 - 33*x**3 + 14*x).\nAnswer: -6*x**4 - 4*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:11 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -349 + 405. Which is the nearest to 1\/3? (a) 2\/5 (b) -2.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*v - 2 + 2 + 38*v + 55*v as b*v + i and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h + 0*h**7 + 0*h**5 + 117\/28*h**8 + 0*h**3 + 93 + 1\/6*h**4 + 0*h**6 - 91\/2*h**2. Find the third derivative of a(y) wrt y.\nAnswer: 28080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441 + -471 + 81\/2\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 - ((-60)\/18 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12271160 + 987.\nAnswer: -12270173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144624871 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*m + 200 = -218*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-11166*d + 11166*d + 6436*d**3).\nAnswer: -12872*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24528067 or -24528065?\nAnswer: -24528067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 3*i**2 + 12*i + 18. Give b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 + 74*w + 21. Let j be (3\/2)\/(((-8)\/44)\/((-96)\/(-88))). Give z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + -16.89. Let i = k + 19.5. Round i to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*a**2 - 2*a + 1 + 70*a**2 + 78*a**2)*(0 + 0 - a**3).\nAnswer: 25*a**5 + 2*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 28. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 678 - -29. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76683 + 383417\/5. Suppose -46\/15*f**2 + 38\/15*f**3 + i + 2\/3*f - 8\/15*f**4 = 0. What is f?\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45014 is divided by 3920?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 8) + 5 + (1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1907\/5 + -1535\/4. Calculate the common denominator of 97\/40 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 4521.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 4. Let c be f(5). Suppose -3*m + 0*m = -30. Suppose r - n + 5 = 0, -4*n + m + 10 = 4*r. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76971, 306064, 687277, 1220610, 1906063?\nAnswer: 2743636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -370\/1891 - 127519\/15128. Let f = 17091\/120020 - -9\/2824. Find the common denominator of y and f.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnffnxfxzx. Give prob of picking 1 n and 1 f.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 532 = -5*z + 4*q, 0 = 5*q + 10. Is 4 a factor of (-116)\/(-87)*z\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71260599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -72. Let y = w - -64.00118. What is y rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.158625 decades to centuries.\nAnswer: 0.8158625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 8 in decreasing order.\nAnswer: 8, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*j - 8 = -g, -3*g + j = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2. Give r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.067 + -0.067. Let u = a - 62.1. Let t = -0.06 - -3.06. What is the closest to 1 in 1\/4, t, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -84. Let l be 2\/(-9) - (-86)\/(-18). Sort z, l, -1.\nAnswer: l, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) -1\/6 (c) -6 (d) -3\/290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5\/2 - 519*y**4\/2 + 3387*y**3 - 7440*y**2 - 30528*y = 0. What is y?\nAnswer: -2, 0, 8, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4392 + 4401. Solve j*t = -1255 + 1228 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11564, -11093, -10316, -9239, -7868, -6209, -4268, -2051?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-14)*r**(-15))**(2\/9)*r**(-2\/13)*r*r\/(((r**(-9)\/r)\/r)\/r)*r**(-2\/5)\/r**5 assuming r is positive.\nAnswer: r**(1301\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.175 + 0.865. Let h = y - 0.69. What is the biggest value in -20, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54115, -54020, -53875, -53680, -53435?\n\"Answer: 25*m**2 + 20*m - 54160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(1000))\/(sqrt(32) - (-1*sqrt(288) - sqrt(288))).\nAnswer: -30*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30705480 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 21 - (1 + (-9)\/(-3) + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62538146*z**3 - 75570696?\nAnswer: 187614438*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19907368267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfereeh. Give prob of picking 1 h and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/20 - y**4\/12 - y**3\/6 + y**2\/2 - 2*y. Let a be f(1). Let g = -1832\/13965 - 2\/931. Which is bigger: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(112\/(-1)))\/(2\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = -4. Let t(u) = -7 + 1 + 0*u - 3*u. Does 6 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 338200*t**4 + 28595486392*t**3 - 114377887200*t**2 + 114376534416*t.\nAnswer: t*(t - 169098)**2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 986814213 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15.991 * 13\nAnswer: 207.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/13 greater than or equal to -210947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 7*k**5\/240 + 183*k**4\/32 + 39*k**3\/4 - 1185*k**2. Factor a(l).\nAnswer: (l + 78)*(7*l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79700*l + 767915 wrt l.\nAnswer: 79700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 41408*g - 124225\/3.\nAnswer: (g - 1)*(g + 124225)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 + 7*f**2 - f - 521. Let t(b) = b**3 + b**2 - b + 1. Let v(l) = -i(l) + 5*t(l). What is the hundreds digit of v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030677919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 96, 217, 386?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1883291 + 21192.64.\nAnswer: -1862098.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -629*o**2*p**3 + 3*o**2*p**2 + 33*p wrt p?\nAnswer: -3774*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + 34\/8. Let j(f) = f**2 - 3*f - 4. Let b be j(q). Let n(x) = x**3. Let s be n(b). Solve -3*i - 2*l + 8 = -2*i, -3*l + 12 = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 - 152*v**3 + 560*v**2 - 544*v = 0. What is v?\nAnswer: 0, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgbbqbbgz. Give prob of sequence gb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 2*a - 2*a**2 + 2*a**2. List the prime factors of d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 114. Let q(l) = 9*l - 66. List the prime factors of q(y).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2913 = -8*w + 3129, 2*w - 54 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8*k**(8\/7)*k**(1\/12)*k*(k*(k**(-7)*k)\/k)\/k*k assuming k is positive.\nAnswer: k**(355\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3\/3 + 3*u**2 + 7*u + 1. Let g be d(-6). Let v = g + -11. Do v and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 351*n - 6550. Calculate d(-20).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-16)*(66\/231)\/(17\/(476\/40)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z + 114. Let b be y(-10). Suppose -3*t - 5*i + 29 = 0, 5*t = -i + 9 + 32. Is t at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 = -5. Let m(q) = -q**3 + 2*q**2 - 1. Let n be m(h). Suppose -j = -n - 2. Solve 0 = j*u - 5 + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i + 11. Suppose -3*q - 4 = -5*r, 9 = -3*r + 3*q - 5*q. Let s be (-26)\/2 - 4\/r. Give l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 53 = -304*b + 305*b, 3*q = 5*b + 37 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**7\/30 + 7*y**5\/30 + 5*y**2\/2 - y. Let b(w) be the first derivative of d(w). What is the third derivative of b(k) wrt k?\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/(-145))\/(2*10\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.19883 - -0.14817. Let y = p + 0.253. Let z = y - 23.389. What is z rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**5 + y**5 + 0*y**5 + (3 + 1 - 2)*(13 - 13 + y)*(-y**3 - 2*y**4 + y**3).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 545 = 5*o, 2056*f - 3*o = 2055*f + 115. Calculate the highest common divisor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1915, 7596, 17065, 30322?\n\"Answer: 1894*v**2 - v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 6, 1, -3, 5 in decreasing order.\nAnswer: 6, 5, 1, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/170897 or -1?\nAnswer: -6\/170897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 63 + 291 = 0. Calculate the highest common divisor of 152 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304 a factor of 378373353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 0.07, -4\/5 in descending order.\nAnswer: 1, 0.1, 0.07, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0*r - 7*r + (1 - 3 + 5)*(5*r - 2*r - r))*(-5*r**2 + 0*r**2 + 3*r**2) in the form u*r**3 + n*r + l*r**2 + c and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31168242 + 0.025\nAnswer: -31168241.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 2*s - l - 12, 0 = s - 4*l - 19. Sort -4, s, -3, 1 in increasing order.\nAnswer: -4, -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-3) - ((-4)\/(-4) - 4). Suppose -14*z + 2456 = -m*z. List the prime factors of z.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14*7\/(-2). Let a(m) = -6*m + m + 3*m**2 + 15 - 12*m + w. Is a(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (4 + sqrt(1573)*-2)**2 + sqrt(1573))*6 + 0 + -5 + -2*sqrt(13) + (sqrt(13) - (2 + sqrt(26)\/sqrt(2))**2).\nAnswer: -929*sqrt(13) + 37826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1798550, -1798603, -1798742, -1799009, -1799446, -1800095, -1800998?\nAnswer: -1802197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 1141, 2578, 4599, 7210?\nAnswer: 10417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*c - 1888 + 472 = -c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**3 + 4*z**2 - 4*z + 4. Let g(q) = -81*q**3 + 33*q**2 - 33*q + 33. Let u = -2452 + 2448. What is u*g(t) + 33*f(t)?\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 20 = 0. Let j be (-2 - 6\/9) + 3. Which is the closest to f? (a) 4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 2*l + 0*l)*(3*l**3 - 166 + 155 - 4*l**3) in the form y*l**2 + s*l**4 + t*l + j*l**3 + r and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189 (base 12) to base 10.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -557\/1604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5742*j - 5729*j - 311207. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 28*v**3 - v + 1. Let c be r(1). Suppose 4*m - c = 3*m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*m - 91, -2*m - 90 = m - 3*q. Let v = m - -54. Let b = -15 + v. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32956573 to the nearest integer?\nAnswer: 5741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 564. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -2 (b) 0.02 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 118*h - 2229. What is the remainder when 24192 is divided by y(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*p + 416 = 101*p + 4*p. What is the smallest common multiple of 120 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + 5*p - 6. Let c be s(5). Let q = c + 102. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 3*g**2 + 8*g + 44. Let k be i(-5). Let s be 32 + -35 - k\/10. Which is bigger: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 83.53152ug?\nAnswer: 0.00008353152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -18*x + 560 - 379, x - 3*f = 40. Let q(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - 3*w - 2. Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3300) - (sqrt(198)*2)\/sqrt(6))\/((-3*(sqrt(135)*-1 - sqrt(135)))\/sqrt(5)).\nAnswer: -16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -28*c + 2. Suppose 3*l = 2*l + 6. Let r be t(l). Let i be r + -5 + 2 - -3. Round i to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-521985)\/(-8544) - 21\/224.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6763 is divided by 225?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/t**0*t)))**(4\/15))**(-2\/15) assuming t is positive.\nAnswer: t**(-8\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10156 - -10754. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2794726069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36769 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11061 (b) -3 (c) 1254\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 939 * -3\nAnswer: -2817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 - -30.4. Let v = s + -33.8. Which is the second smallest value? (a) v (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.3. Suppose 2 - 15 = z - 4*v, 0 = -v + 3. Which is the nearest to 1? (a) z (b) 5\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, 2*x + 2 = -3*k + 44. Solve -9 = 4*y + 3*a + 6, 4*y + 2*a = -k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 19*o**2 + o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 2*m - 7. Let h be v(6). Let f(w) = 12*w - 25. Let y be f(-8). Let k = 123 + y. Solve -o - k*a = a + 2, -h*o - 5*a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/600 - y**5\/100 + y**4\/40 - y**3\/30 + y**2 + 2*y. Let v(x) be the first derivative of h(x). Factor v(k).\nAnswer: (k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2))**(3\/32)\/(a\/(a*a*a**(-6))*a**(-7\/2)))**(-29))**(-23) assuming a is positive.\nAnswer: a**(-18009\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - l**2\/2 + 7*l - 3. Let w be h(7). Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6071*1.\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13878479 is divided by 560?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(34)\/sqrt(2))**2 - sqrt(17)))*-2.\nAnswer: -36 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 103196\/(-48)*(-16)\/(-15474). Let k = -2\/2579 - r. Calculate the common denominator of -52\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34004*i**2 - 66*i - 6407147.\nAnswer: 68008*i - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**6))\/(w\/(w\/((w\/(w**6\/w))\/w)*w)))**(1\/31)\/(w*w\/((w*w\/w**(-2\/11))\/w)*w*w**(-3\/7)*((w*w**(1\/6))\/w)\/w**(1\/5)) assuming w is positive.\nAnswer: w**(-3133\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.46? (a) -4 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q + 10*q = -29*q + 415396. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = 0, 0 = -3*z - 2*z + d + 112. Suppose n + 0*n = z. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8695 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4024421221 (base 5) to base 2.\nAnswer: 11110101100001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 6 = 3*n + z, 5*n + 2*z - 21 = 0. Suppose 4*c - 3*x = x + 96, -n*x = 4*c - 61. Calculate the remainder when 37 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 69\/2 of a kilometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 788655 to the power of 1\/2, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*w - 28 = 0, -2*x + 3*w - 224 = 3*x. Let c = 108 + x. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 129 = 4*j + 4*v, 3*j - 3*v = 81. Calculate the remainder when (-3)\/1*1339\/(-39) - 5 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758383*t**3 - 393833*t**3 - 431558*t**3.\nAnswer: -1583774*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 - d + 1. What is w(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 1, l: 1, r: 1, i: 5}. Give prob of picking 1 l, 1 a, and 1 i.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 1718410695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + 1*sqrt(3) - (sqrt(3) + 4 + sqrt(12)\/sqrt(4)))**2 - 2*4*-1*sqrt(3)).\nAnswer: -24*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3274 (b) 0 (c) 4.7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8)*31840\/(-2786).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 - 4285*y**3 + 800493*y**2\/2 - 7256637*y - 403407297\/4 = 0. What is y?\nAnswer: -17233, -9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 394526*o**2. Let h(b) = -12*b**2. What is h(u(z))?\nAnswer: -1867809176112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 0*g. Let o be (1 - 0)\/(g\/6). What is the derivative of k**4 + 5*k**o + 2 - 5*k**3 wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.089 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59278\/11 < 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 103?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, v: 2, y: 2, f: 2, w: 3}. Give prob of sequence fev.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiu when three letters picked without replacement from iuovh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182936328 to the power of 1\/2, to the nearest integer?\nAnswer: 64676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*u**6 + 17345*u**5 + u**2 - 19383*u + 25 wrt u.\nAnswer: 13800*u**3 + 1040700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992654 is divided by 1992612.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from nvw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4721900?\nAnswer: 2, 5, 23, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u - 2*r = -302, -2*r + 240 = 4*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 116*t - 153. Calculate b(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f - 4. Let h = 27 - f. Is 3 + -2 + 2 + h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -56*c**2 - 190*c + 25. Let h be ((-42)\/18)\/(-1*5\/15). Let t(d) = -57*d**2 - 189*d + 24. Let x(k) = h*t(k) - 6*p(k). Find n such that x(n) = 0.\nAnswer: -3, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363499, -363496, -363495, -363496?\nAnswer: -363499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 15 = o. Suppose -250 = -4*b + 30. Let m = b + o. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -2 + (7 - 6) - 27) + 8 - 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.037+-0.901\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 3*j + 1299, 0 = 3*j + 15. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000471 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 59. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkdwdydvyd. What is prob of picking 1 w and 1 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:38 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 6, l: 1, s: 10}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(4\/9)*(s*s\/s**(2\/11))\/s assuming s is positive.\nAnswer: s**(136\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 6*r - 1. Let d be g(-6). Let j be 2*(2 + 2) + 0. Let u = j - 9. Is u at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:03 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (6 - 2 - 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8*z = 834048. Suppose -t = 2*o - z, 2*o + 556012 = 4*t + 5*o. Round t to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4760\/(-20))\/14*-1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.1. Let v = 0.1 - g. Let r = 0 - -2. Sort 0.4, v, r in decreasing order.\nAnswer: r, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, i: 1, u: 2, p: 1, e: 2, h: 5}. Give prob of picking 2 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/929489 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344.7 - 328. Round n to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 131. Calculate q(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-4) + (5 - (-174)\/(-12)) + 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 - 7*z - 4*z**2 + 1 + 6*z. Suppose 2*r = 3*q + 5, 2*r - 4*r + 12 = 4*q. Determine k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1027 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 3111 (c) 2\/15 (d) 4 (e) -0.2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - ((3*(sqrt(171) + -2))**2 - sqrt(171)).\nAnswer: -1575 + 114*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4090230.4 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096506164 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011069935 rounded to 7 decimal places?\nAnswer: -0.001107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14656 - -14657. Sort 4, u, 213.\nAnswer: u, 4, 213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*h**5\/11 - 50*h**4\/11 - 116*h**3\/11 - 122*h**2\/11 - 56*h\/11 - 8\/11 = 0. What is h?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324806 + 324302 = 72*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -188)*72\/20. Suppose -a = 5*g + 4866. Round g to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weu when three letters picked without replacement from ueeueeweuewewwee?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -389*i + 1606. Determine r(9).\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -501, -878, -1373, -1986?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 19 = 4*t, 0 = -4*l + 3*t - 5*t + 14. Solve l*p = p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*u**5 - 9216*u**4 + 2*u**2 + 248472*u - 4?\nAnswer: 580*u**3 - 110592*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + a - 6*a - 60 = 0, 3*f - 5*a = 26. Suppose 0 = -4*m + f + 15. Let j = m - -1. Solve -2*y + j + 15 = -4*d, -3*d - 4*y = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 822123.3 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 107\/4 + 2\/8. Suppose -3 = 2*s - b, 0*b = -3*s - 3*b - x. Let d be 4\/8 + (-50)\/s. Solve k - u + 7 = 5*k, 0 = -k + 2*u + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -13. Let a = p - -22. Is 3 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 4*r**2 + r - 2. Let m(a) = -10*a**3 - 13*a**2 - 3*a + 7. Let y(v) = 7*g(v) + 2*m(v). Let y(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = -5*y - 2, -5*t + 11 = y. Suppose 85 = t*h - 14. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 8. Let y be ((-4 - c) + 1)*-1. Solve -2*k - k = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.65 + -0.35. Put -4, -0.4, z in descending order.\nAnswer: -0.4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410 - -1312122?\nAnswer: 1311212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1084*h**5 + 3*h**4 + 3*h**3 - 200285*h**2.\nAnswer: -65040*h**2 + 72*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2068 and 13647766.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 10 - 5. Let r be -3 + j\/(5\/12). Solve -x = -4*x + r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5 - 27. Let k = c + 22. Suppose -5*q + 265 = -k*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (0 - -1)) + 66\/11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2211 divided by -67\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3151425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(30 - (117 - 86)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 133*q = -136*q + 111, 3*c = 3*q + 147. Calculate the remainder when ((-6)\/(-2))\/(9\/222) is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*q = -96*q - 1261*q - 105712 + 5820 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 462?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87, -139, -225, -345, -499, -687, -909?\n\"Answer: -17*h**2 - h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q - 4. Let w = q + 11. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -917*t**2 - 7*t wrt t.\nAnswer: -1834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 = j. Let i = 284 + -148. What is the highest common factor of j and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -24169, 2\/3, 5.3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m = 0. Let a(l) = -l + 7. What is the remainder when a(m) is divided by (4\/6)\/((-2)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21*(-22)\/(-5841))\/(22\/(-6)). Let i = s - 12\/59. Which is the closest to -64? (a) 0.4 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -377 and -531.27?\nAnswer: 200288.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13796 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from cexeexvxexex.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1222 + 3?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 755258984 to the power of 1\/2, to the nearest integer?\nAnswer: 27482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 4913?\nAnswer: -14739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 108, 240, 424, 660?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -4. Suppose 5*d = 5, -2*q + d + 209 = 3*q. Let x be q\/4*264\/z. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1562256 and 194256?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31148 and 10?\nAnswer: 155740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 105\/8, 3\/2, 0.041, -2?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 23 = 4*o. Let k(c) = -2 + 12*c - c**o + 5*c - 6*c. Let q be k(8). What is the highest common factor of q and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -84, -87, -90, -93, -96, -99?\n\"Answer: -3*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8045\/(-40225))\/((-2)\/(-90)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*j**2*z - 251*j**2 - 2*j - 294055*z wrt j.\nAnswer: 100*z - 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1453 = 4*a - 1539. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - -6 - (-5 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -44. Let r(n) = n**3 + 6*n**2 - 3*n - 30. Calculate the remainder when r(u) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(133)\/(sqrt(7) + sqrt(252)))**2.\nAnswer: 57\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10467 in -5, -2\/79, -1\/3, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*a + 196 - 196 in the form w*a + g and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 7*i - 4. Let d be t(-8). Let g = -22773 + 22861. Calculate the highest common factor of d and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxwxvvwwwwwxvxwxwx. What is prob of sequence xvw?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 219, 455, 717, 1017, 1367, 1779, 2265?\n\"Answer: 2*v**3 + v**2 + 219*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50879922.\nAnswer: 2, 3, 43, 199, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from qqpqqqqqqqqp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Let a(p) = 699*p**3 - p**2 - p + 1. Is a(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -15*l - 43. Let w = 82 - l. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + -2e2991?\nAnswer: -2e2981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**6\/60 + k**5\/60 + 2*k**2 + 2*k. Let o(m) be the first derivative of b(m). What is the third derivative of o(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g\/(g*g**(-19)\/g) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 7 + 10 - 3.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-37 - -30) + -17?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 11*i - 1. Let f be u(11). Let m be (13 + -7)*((-272)\/(-30))\/f. Let j = -54 - m. Is 0 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007994713 to 4 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000212068804 rounded to seven decimal places?\nAnswer: 0.0002121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/6 - 9403*w**4\/6 + 4906263*w**3 - 5095845270*w**2 - 56650044132*w = 0. What is w?\nAnswer: -11, 0, 3138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249815 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3*q**6 + 11*q**2 + 4. Find the second derivative of j(i) wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = -4*n, s + 8 = -4*n + 9*n. Let m be 8 + 1 + -8 + s + 1. Solve -m = 4*c + 5*b + 5, c + 2 = -b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 9*n**2 - 5*n**2 + n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1374617\/12357810 + -66\/16745. Calculate the common denominator of p and -97\/20.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-675)\/(-50) + 2\/4. Let g be 3\/(4 - o\/4). Let x(c) = -c + 4. Let q(v) = -v + 5. What is g*x(y) - 5*q(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66\/17 in -332, 0.3, 2\/11, -816?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 - 74. Let y = x + -53. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 20*b**2 + 88*b + 6. Let h(y) = -7*y**2 - 29*y - 2. Calculate 17*h(t) + 6*v(t).\nAnswer: t**2 + 35*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 + 43\/6*z**3 + 23\/24*z**6 + 0*z**5 + 7*z - 5*z**2 - 1\/12*z**4. What is the second derivative of i(l) wrt l?\nAnswer: 690*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 153. Let p = d - 115.9. What is the nearest to p in -1\/51, 5, 4?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 502 and 244262.\nAnswer: 61309762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 0\/(-4) + 6. Suppose -q*o - 2*r + 10 = -o, 9 = 3*o - r. Solve 5*c - o*k + 11 = 0, 0 = -c - 5*k - 10 + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - 128*j + 20. What is the remainder when d(20) is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9691*j**4 - j**3 + 7847*j**2 + 1177007767*j wrt j?\nAnswer: -116292*j**2 - 6*j + 15694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q**2 + 5*q - 2. Let u(l) = 2*l - 8. Let b be u(6). Suppose -a + b*a = 12. Let y be g(a). Solve p = y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50.7 * 650326\nAnswer: 32971528.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 563584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {o: 2, p: 1, a: 3, n: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-40 + 34 - (-5 + -1))) + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-25))\/(22\/110))\/(16\/(-28)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 193.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 3468*g**2 + 202899*g + 639990.\nAnswer: 3*(g - 1094)*(g - 65)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3*(60\/(-24) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14435 + -7381. Let u = 36054 - y. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 46486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*g + 3 = 0, 5*v = 9*v + 5*g - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2572*r**3 - 2348*r**3 + 9300*r**3 - 1 + 3*r**3 + 0*r**3 - 2*r**3 + (0*r**2 + 3*r**2 - 5*r**2)*(-2*r - r + 4*r) + 5*r**3 - 4*r**3 - 2*r**3.\nAnswer: 4378*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110000111 (base 2) to base 8\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x + 20. Let o(j) = -5*j + 18. Let p(n) = 3*o(n) - 2*y(n). Let z(l) = l**2. Calculate p(z(v)).\nAnswer: -3*v**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*r**2 + 387*r**2 - 124*r**2 + (6*r + 0*r - 4*r)*(-r + r - r) - 4*r**2 - 3*r**2 + 5*r**2.\nAnswer: 105*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305.92ml to litres.\nAnswer: 0.30592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 12*w + 22. Give k(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -i + 6, -12 - 4 = 4*i + 8*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnkxnnnnnfnnknnkxknk. What is prob of sequence fk?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*u - 9303 + 9310, -3*w + 9 = -u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 22*x**2 + 6*x + 13. Let q be u(22). What is the second derivative of -231 + 76*c**3 + 231 - 17*c**3 + q*c wrt c?\nAnswer: 354*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 4}. What is prob of picking 1 t and 3 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21125 + -21124.8. Let z = 6.6 + -5. Put l, z, -8 in decreasing order.\nAnswer: z, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -52?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqll when four letters picked without replacement from {h: 3, q: 2, l: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3)*1 + -1)**2 + 6*(sqrt(3) + sqrt(48) - sqrt(3))**2.\nAnswer: -2*sqrt(3) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52408605 by 3.\nAnswer: -17469535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -11. Let h = a - 6. Solve 15 = -h*b - 3*o, -5*o + 0*o - 7 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66660.\nAnswer: 2, 3, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.302074 and 0.8?\nAnswer: -0.2416592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/23086 and -32\/21623.\nAnswer: 71312654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/220 and 111\/34760.\nAnswer: 34760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -86, -90, -94, -98?\n\"Answer: -4*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1)*d*d\/(d\/(d\/d**(-2)))*d)\/((d*d**(-1\/9)*d*d)\/(d**(-6\/5)*d))*((d\/(d*((d*d**(1\/2))\/d*d)\/d))**26)**(4\/7) assuming d is positive.\nAnswer: d**(-1108\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + ((-570)\/48 - 1\/8). Is 2095*30\/(-12)*p\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9821, 38842, 87199, 154886, 241897, 348226, 473867?\nAnswer: 618814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-104)*4\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90355313, -90355308, -90355303, -90355298, -90355293, -90355288?\n\"Answer: 5*b - 90355318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -15*g**4\/2 - 19*g**3 - 12*g**2 + 3*g - 1110. Factor s(c).\nAnswer: -3*(c + 1)**2*(10*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 = -4*v - 22, -4*v + 4*h = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 19. Let m = u - 17. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.0000001 - 5. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -280 in decreasing order.\nAnswer: -3, -4, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {i: 3, u: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 15. Suppose -2*q + p*l + 157 = 0, 5*q - 2*l - 333 = 76. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12416045, 12416051, 12416061, 12416075, 12416093, 12416115, 12416141?\nAnswer: 12416171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -2*b, 0 = 4*r - 2*b - 4 + 24. Sort -4, r, -517 in decreasing order.\nAnswer: -4, r, -517","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiuttii. Give prob of picking 2 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + j + 2. Let p(r) = -13*r**2 - 21*r + 10. Let f(i) = -4*p(i) - 28*y(i). Factor f(l).\nAnswer: -4*(l - 12)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1 (b) -24 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*u - 134*u + 199*u.\nAnswer: 207*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69127, 69114, 69093, 69064, 69027, 68982?\n\"Answer: -4*n**2 - n + 69132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139721 is divided by 1863?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -20, 7, -1, 0 in decreasing order.\nAnswer: 7, 3, 0, -1, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 49 - 88. Put 4, 2\/7, t, 0.6 in decreasing order.\nAnswer: 4, 0.6, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + -0.1. Let m = j + 0.01. Which is smaller: -2\/7 or m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-384346.5.\nAnswer: 57651.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/20706 and 101\/266.\nAnswer: 393414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chj when three letters picked without replacement from jchvkmhm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (6 - (2 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -28?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 387 = 2*w + 257, -361 = -5*w + q. Calculate the remainder when w is divided by (-1 - -1) + 0 - -24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 248, 563, 1004, 1571, 2264, 3083?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 - 1196*w - 2. Let r(j) = -1157*j**2. Calculate s(r(k)).\nAnswer: 1338649*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*g**3 - 6 - 6 + 109*g**3 as k*g + u*g**3 + s*g**2 + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2297*u**5 - 86*u**3 - 5*u**2 + 17*u + 194 wrt u.\nAnswer: 137820*u**2 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27523438?\nAnswer: 2, 19, 773, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 18*x**2 - 58*x + 11. Determine y(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -1*sqrt(500) + 0)*-1 + 4 + (sqrt(500) + -3)*1 + 5)**2 + -1.\nAnswer: 120*sqrt(5) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17019\/(-1647)*(-3)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139858679 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.347626 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(-40)*-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 542 - 547, 27911 = 3*y - 4*g. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -402?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:35 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by -5\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12215 + 4?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848 (base 12) in base 5?\nAnswer: 303343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 0.5, 2, 4 in descending order.\nAnswer: 4, 2, 7\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 104*u + 108.\nAnswer: -4*(u - 1)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.5, 5, 4 in descending order.\nAnswer: 5, 4, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let s be (2 - l)*(2 - 3). Let w(q) = 6 - 5 + q - 1 + 6*q**3. Give w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -58964*d**3 + 2*d**2 - 8*d + 8. Let m be i(6). Let q = m - -7036192. Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -335*w - 2368. Determine a(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(2\/111*3). Suppose -19 = -3*x + 2*x + 3*c, 5*x + c = o. Let k = x - -97. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 133 = -2*l, -z - 3*l = -l - 31. Let j = z + -23. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from llnnllllllllllnlllll?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128, 187, 162, 53, -140, -417?\n\"Answer: -42*q**2 + 185*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5. Let o = 11 + -5. Is 7 a factor of (-8)\/(q - 9\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-236)\/(-236)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31\/12 - 97\/4. What is the common denominator of g and 3\/(72\/202)*(-23 - (6 - 27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.935511513 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-260 - -113 - -37).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*i**3*m**3 - 15737*i**3*z + 238*i**2 + 4*m**3*z + 2*m**3 wrt z?\nAnswer: -15737*i**3 + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -29. What is the closest to 1 in -3, 2\/47, k?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 5. Let d(s) = -7*s**2 - 16*s - 1. Let b be d(-2). Sort b, 5, x.\nAnswer: x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -35*z**3\/3 + 55*z**2\/2 + 30*z + 137. Determine y, given that i(y) = 0.\nAnswer: -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -1.8 (c) -2 (d) 5\/14 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -7, 16, -0.1, 5, -4, -0.4 in decreasing order.\nAnswer: 16, 5, 5\/6, -0.1, -0.4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let m(y) = -1 + 30*y + 1. Let w(k) = -59*k. Let n(z) = 8*z + 149. Let p be n(-19). Let s(b) = p*w(b) - 7*m(b). Give t(s(i)).\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-4)*((-36)\/(-270) - 70\/(-225))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (582\/9)\/(6\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j + 285 = -36*j. What is the remainder when 311 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1131, 2302, 3475, 4650, 5827, 7006?\nAnswer: 8187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22530*s - s**2 + 11266*s + 11264*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6581*d**2 - 181*d - 1009. Is x(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoooooooe. What is prob of picking 2 o?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 4 + -2 + -1. Suppose n + 6 = 4*b, -n = r*b - 23 - 1. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 326398.2407 - -577\nAnswer: 326975.2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*n + 175, -3*n = -n. Suppose -t - 5 = 3*i + t, 2*i = -4*t - 14. What is the greatest common factor of z and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-32)\/72\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/18 - (41 - 44).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c + 70. Let m = c + -11. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 4) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 1377787 + 3473213 = 0. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 4*x**2 - 3*x - 2. Let g(i) = i**3 - 8*i**2 + i - 10. Let m be g(8). Let n be t(m). Find f such that 2 - n*f + 0*f**2 + f + f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/5, -4928?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 21*v**2 - 21*v + 18. Give x(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1085 and 813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.237 + 1.203. Let x = -6.44 + j. Which is the fourth biggest value? (a) 3\/4 (b) x (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 8. Suppose -5*j = 2*u - 26, -3*u = d*u - 15. Calculate the smallest common multiple of 16\/(-12)*(-54)\/j and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11 + 2 + 14*o**3 - 29*o**3 - 6*o**2 + 14*o**3 + 3*o. List the prime factors of q(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 18 + 20)*(-2 - 2*s + 0 + 4) to the form a*s + p and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*l - 116*l + p + 48071, 5*p + 5 = 0. List the prime factors of l.\nAnswer: 2, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2)\/(-1)) + 114. Suppose -g + 55 = -k. Suppose -m + 8*m - k = 0. Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2*m - 2*m)*(2*m**2 + 5*m**2 - 5*m**2 + (44 + 9*m - 44)*(3*m + 3*m - 3*m)) to y*m**3 + a*m**2 + d*m + u and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose -2*o - 8*t + 4*t - 12 = 0, 3*t + 9 = 4*o. Sort o, 1, n in ascending order.\nAnswer: o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*(154\/(-99))\/14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441 - -112354411?\nAnswer: 112355252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h = -5*a + 71*h + 6, -5*a - 4*h = 42 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 162649 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -85389 and -11871.\nAnswer: -97260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00703033412 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) + sqrt(6)\/(sqrt(18)\/sqrt(6)))*-5 + -3 + 1)*-6.\nAnswer: 12 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 369458315 to the power of 1\/3, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2150 and 12900?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + l - 1. Let a(g) = -10*g**2 + 6*g - 2. Calculate a(f) - 8*s(f).\nAnswer: -2*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-4)*8\/(-12). Suppose c*x - 41 = -3*q, x + 2*q + 2 = -2*q. Let z be 16\/x - 2\/(-5). Calculate the highest common factor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -25. Factor -10*c - 10 - j*c + 4*c + 5*c**3.\nAnswer: 5*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = -w. Let i = 10 + w. Suppose 0 = -i*b - 0*b + 10. What is the lowest common multiple of 9 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 - 4*a + 3. Let u = 1347 - 1350. Calculate f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f**(-6)\/f)))\/f)\/((f\/(f*f**(1\/3)*f))\/f*f))\/((f*f\/f**0)\/f**(-7)) assuming f is positive.\nAnswer: f**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53043 + -1?\nAnswer: -53044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -342? (a) 454 (b) -1 (c) 3 (d) 0.4 (e) -2\/29 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0337085 millilitres in litres?\nAnswer: 0.0000337085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 0*x + 16*x. Let j(z) = 5*z. Let w(g) = 24*g. Let q(k) = -14*j(k) + 3*w(k). Calculate f(q(i)).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-7))\/((g\/(g*g**(-3\/7)))\/g*g))\/((g\/(g\/(g*g**(-2\/7)))*g)\/(g*g\/g**(-4))) assuming g is positive.\nAnswer: g**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78831913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t**3 - 4737*t**2 - 89763*t - 377622 = 0. Calculate t.\nAnswer: -243, -14, -37\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 45*f**2 - 4093*f - 190. Calculate m(91).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 140.9?\nAnswer: -140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9 + j**3 - 2*j + 6*j - 2 as a + r*j**3 + z*j + w*j**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2893 - 11015 = -19*k. Calculate the remainder when k is divided by 199.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1077?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.04, -0.5, -0.1, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26759 is divided by 584?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**2 + 14*o - 976. What is v(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2471300.4.\nAnswer: 2471297.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 6596?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159 or -641\/4?\nAnswer: -641\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 10*u - 13. Let k be r(13). Suppose -11*t - 4 + k = 0. Suppose -t*d + 75 + 61 = 0. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*(-100 - -2). Is ((-41188)\/p)\/(-1) - (-6)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40402 = 270*n + 3170*n + 301842 for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 - 1.767.\nAnswer: 189.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from njnnnjjnjjnjjn?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(0 + 1 + 2 + -4 + -1 + sqrt(72)))**2.\nAnswer: -9600*sqrt(2) + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33385, -66663, -99835, -132895, -165837?\nAnswer: -198655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 846412 and 12728?\nAnswer: 1692824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610349 to the power of 1\/2, to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10)\/(10\/100). Suppose -10 = -x*m + 126. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180878377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42638291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 350320 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(1 + sqrt(20)\/sqrt(4))*-2 + -5)**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4, 6\/19, 158321?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1079 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*-1)*-6 + 1*sqrt(77)*-1)\/(sqrt(22)\/(-5*sqrt(288))))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 1, y: 1, v: 1, p: 1}. What is prob of picking 1 y, 1 v, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 + 2. Let v be w(-3). Suppose -19*n + r = -20*n + 170, 0 = 5*n + 2*r - 850. Let t = 175 - n. Solve 3*y - v = -t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*y = 23*y + 12730 + 2607 + 36681 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 2 - -3 - -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 19*j - 54. Put j, -2\/13, 2, 0 in decreasing order.\nAnswer: j, 2, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -551 + 1305?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/3))**(1\/97)*d**(3\/5)\/d**(-1\/13))**(1\/44) assuming d is positive.\nAnswer: d**(6467\/416130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14675070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2534? (a) 7 (b) -5\/2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b. Let q = 4 - b. Suppose g = -q*g + 40. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422228344?\nAnswer: 2, 52778543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -2031*q**5\/20 - 371*q**2\/2 - 1732*q. Differentiate j(a) wrt a.\nAnswer: -6093*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/3 - 5217580*p**4\/3 + 6956782*p**3 - 15652772*p**2\/3 - 20870344*p\/3 + 6956784 = 0?\nAnswer: -2608794, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3318*u**3 + 26327*u**3 + 123419*u**3.\nAnswer: 153064*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 + -177. Suppose -11*t + 5930 + 32009 = o. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a + 36. Let j(y) = -10*y + 33. What is -6*j(z) + 7*l(z)?\nAnswer: -3*z + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305872, -1223483, -2752836, -4893931, -7646768?\nAnswer: -11011347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -129. Let q = b + -72. Suppose -3 = q*x - 3*l, 3*l - 1 = -3*x + 2*l. Sort x, -3, 5 in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3584 - -3555. Let k = 5 + 0. Which is the third biggest value? (a) -3\/4 (b) k (c) n (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8328 and -97\/27760?\nAnswer: 83280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7\/35*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(76)\/sqrt(36) - sqrt(19))**2 - -5*(sqrt(19) + 2)).\nAnswer: -20*sqrt(19) - 664\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, f: 2, x: 2, q: 3, n: 2}. Give prob of picking 2 n and 2 x.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.5 in 3, -56, 1.63?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.19927 centuries in years?\nAnswer: 5419.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18183674251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgggggggggggmggggm. Give prob of picking 1 m and 3 g.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4309 is divided by 2136.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and -1 + (-1)\/(-2)*(-2786)\/(-1)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6 + -7. Let n = -3.4 - k. Which is the closest to 0? (a) -1 (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/14)*y\/(y**15*y)*y*(y**(-6)\/y)**(-45) assuming y is positive.\nAnswer: y**(4217\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70983, -283885, -638705, -1135437, -1774075, -2554613, -3477045?\n\"Answer: w**3 - 70965*w**2 - 14*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617\/4 less than 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, l: 2}. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 - 24*q - 89. Let w be h(-5). Let b = 1271\/7 - w. Factor -b*u**5 + 8\/7*u**4 - 16\/7*u - 16\/7*u**2 + 12\/7*u**3 + 0.\nAnswer: -4*u*(u - 2)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 5)*3*-6 - 6*(2 + -3*sqrt(11))*2)**2.\nAnswer: 28728*sqrt(11) + 187632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-6))\/((84\/(-9))\/(-7)). Let m = f + 23\/12. Which is the nearest to -11? (a) m (b) 2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 21 + 7)*(-1 + 1 - k).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8556*i*w**3 + 2*i*w**2 - 4*i + 48*w**3 + 2*w**2 - 1024*w + 2 wrt w.\nAnswer: -51336*i + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -116*a**4 - 8*a**3 - 446*a**2 + 8*a - 8. Let i(f) = f**3 - f + 1. Let j(o) = d(o) + 8*i(o). What is the third derivative of j(p) wrt p?\nAnswer: -2784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181702\/9 or 20188?\nAnswer: 20188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 52.26. Round s to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32121 and 70218?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:21 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {r: 1, c: 3, p: 4, u: 1, j: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 48. What is the second biggest value in -12, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2790 and 7068?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 117824714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 1, w: 2, k: 1, n: 1, q: 8, x: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1023 - -1223. What is the highest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {i: 2, x: 1, b: 6, t: 4, c: 3, y: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -27*c**2 + 22*c + 10. Let m(r) = 9*r**2 - 7*r - 3. Let x(w) = -4*l(w) - 11*m(w). Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from gggffgjfggfggg?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 397\/20 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 7*m + 20. Let y be n(-5). Let o = -20 + y. Solve r = -4*r - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (1 + sqrt(320) - sqrt(320))*-1)**2 + (sqrt(320)*-3)**2*-5 + (-4*(sqrt(320)*-2 - sqrt(320)) + 3)**2.\nAnswer: 592*sqrt(5) + 32010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 1. Let s be i(-2). What is the third smallest value in 0, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 344. Give t(0).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/25263 and 101\/168.\nAnswer: 202104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902396 to the power of 1\/2, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5895930 and -0.003?\nAnswer: 17687.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121952 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2*-1 + (-187 - -188). Let f(j) be the second derivative of 4\/3*j**3 + j**4 + 3*j + j**2 + t + 1\/15*j**6 + 2\/5*j**5. Suppose f(u) = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*u = -10 + 2, -2*k + 2 = -2*u. Are -1\/292 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5005380 is divided by 760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1667 - 238393\/10002. Which is the fourth smallest value? (a) -0.3 (b) 5 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*3 + (-25543)\/2870. Let i(g) be the third derivative of 3\/10*g**5 - w*g**6 + 0 + 1\/2*g**3 + 1\/70*g**7 + 0*g + 20*g**2 - 1\/2*g**4. Factor i(t).\nAnswer: 3*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 39. What is the third derivative of 10*c**5 - j*c**2 + 3*c**2 - c**2 - 6*c**2 wrt c?\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 + 3*n**2 + n + 4. Determine s(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - 2. Let r be v(-2). Solve -3*x - i = -r*i - 14, -x + 2*i = -13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6734, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + 142. Let s = 331 - l. What are the prime factors of s?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - -2*sqrt(2057))**2 + (-1*sqrt(1700) + sqrt(17))**2 + -6*(sqrt(68) - (sqrt(68) + (-2*sqrt(68))**2)).\nAnswer: 21522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 121 = -6*h. Let g = 212 + h. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553 - 831 + 984)*(-4*q**5 - 3*q**4 + 3*q**4).\nAnswer: 1600*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763380093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 12636*o**5 - 6282252*o**4 + 19835184*o**3 - 20559808*o**2 + 6599040*o + 395200 = 0.\nAnswer: -2\/39, 1, 10\/9, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*f*s**3 + 123*f*s - 9*f - 22 wrt s.\nAnswer: -21*f*s**2 + 123*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y - 52*y - 15 = -2*s, 5*y - 5*s = 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + 4*k)*(-2*k**2 - 2*k**2 + k**2) + 3*k**3 + k**3 - k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -2)\/4 + 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*y + 26 = -185*y + 2*z, 0*z - 6 = -4*y - 2*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*q**5 + 36*q**4 - 105*q + 14.\nAnswer: -860*q**3 + 432*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 3. Let d be v(-3). Let q be -1*(-2)\/(1497\/(-501) + d). Let p = q - 98. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**3\/3 - 5*a**2\/2 + a - 1. Suppose 0 = m - 5, m = -6*j + 4*j + 347. Let i = -165 + j. Give p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l + 268 = 4*b, -5*l = -20. Suppose -980 = 3*v + 1135. Let z = v + 727. Calculate the remainder when b is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1214 and 1206 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018630798709 to 6 dps.\nAnswer: -0.018631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 28. Let v = u + -10. Suppose 45 = v*k + k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n, 3*g - n = -3. What is the units digit of (0 + -2 + 1)*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/27)\/((-22)\/3 + 8). Let i(o) = -4*o - 1. Let u(r) = -3*r. Let x be 1\/(-2) - 21\/(-6). Calculate c*i(q) + x*u(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562946?\nAnswer: 2, 397, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-752)\/(-141) - 2\/(-3). Find the third derivative of -45*s**2 - 2*s - 449*s**6 + 3*s + 562*s**v wrt s.\nAnswer: 13560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 200, 403, 606, 809?\n\"Answer: 203*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 17*r**2 + 112*r - 23. Calculate n(-22).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 4:06 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -3 + -19 + -45 - (-9 - -7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32618403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (1 - -5) - 1\/1. Solve -3*s + v = -5*p - 2, -p - 4 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 31. Let z = 32 + -43. Let i be -3 - 20\/(-6) - z\/3. Put i, 3, h in descending order.\nAnswer: i, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.1. Let w(o) = -o + 10. Let q be w(6). Let k = -2\/7 + 0. Which is the nearest to s? (a) q (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43115?\nAnswer: 5, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 330.94, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 112 = 0. Suppose -h = -m - b - 3*b, -3*m - 5*b + 77 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y. Let b(o) = o - 13 + 17 - 4. Let m(g) = -g**2 + 42*g - 11. Let v be m(42). Suppose 4 - 1 = -n, 0 = k + n + 1. Give k*a(d) + v*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5266 + -5265.76. Which is the closest to -9? (a) -5 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01900202 to four decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3)**(14\/11)\/(j**(-2\/9))**8)**(2\/5) assuming j is positive.\nAnswer: j**(1108\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -314efe0 + 4?\nAnswer: -314efdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6387245.\nAnswer: 5, 1277449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33511694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-855557.\nAnswer: 256667.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k**4 - 114*k**3 + 412*k**2 + 654*k + 136 = 0. Calculate k.\nAnswer: -17, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1032 and 430.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 212*w + 9119. What is o(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36857 and 515998.\nAnswer: 515998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12))**(-7\/5)\/((j\/(j*j**4)*j)\/j**(-2\/27)) assuming j is positive.\nAnswer: j**(2663\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, 3, 17, 33, 51, 71?\n\"Answer: j**2 + 9*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395999631?\nAnswer: 13, 557, 192791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 14*u - 18, 20*o + 364*u = 369*u + 50 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49897491 to the nearest integer?\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -45. Suppose -9*g - 9 = -p*g. Solve 0 + g = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85965*z - 85965*z + 542*z**2)*(-5*z**2 - 6*z**2 + 0*z**2).\nAnswer: -5962*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 11*g + 32, -304*g + 303*g = -3*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:23 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k - 51 = -4*s, 5*s = 3*k + 60. What is the derivative of 33 - 29 - 3*z**3 + s*z**3 - 2*z**2 + 54 wrt z?\nAnswer: 18*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 7. Let q = -6 - -9. Suppose -s = -q*p + 10. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38788\/41 + 946. Let x(l) = 2*l**2 - 237*l - 855. Let n be x(122). Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*p + 27, 2*p - 3*y + 34 = -3*p. Put -26, 1, 5, p in decreasing order.\nAnswer: 5, 1, p, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -45. Suppose z*b - 120 = -b. Calculate the highest common factor of 120 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8)\/((-12)\/(-16)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139933 and 7339?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3 + o**2\/2 - 258*o. Let c(k) = -11*k + 1. Give -3*c(b) + 5*v(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c + 2. Let l be h(6). Let j be 1306\/(-14) + (-8)\/l. Let q be 2\/4 + j\/114. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94777*b**4 + 32*b**3*z**2 + 182*b*z - 4*b + 3*z**2 + 36 wrt b.\nAnswer: -1137324*b**2 + 192*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 - 43*m - 2029. Give d(-13).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 31\/8 (c) -4.4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-21) - (-4)\/(-14). Let g(r) = 2*r - 6. Let q be g(4). Let l(z) = z + 4*z - 3*z - 2 + 2*z**q. Give l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5035525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 11*p**2 - 74*p - 14. What is s(10)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(4*sqrt(32)\/sqrt(4) - (sqrt(800) + sqrt(800)*2 - sqrt(800))))\/((-1*sqrt(324)*-2 - sqrt(324))*-3))**2.\nAnswer: 12800\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9788 times -0.2?\nAnswer: 1957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37 - 15837929555.\nAnswer: -15837929554.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295424 is divided by 58862?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147281020 by 35260.\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*n - 105 = 0, -5*i - n = -8*i + 59. Solve 44*l - 50 = i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Evaluate -10 + -47 + 3 - -101.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.009 + -61.991. Let m = o + 29.5. Let w = m - -25. What is w rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52872 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9552652?\nAnswer: 2, 2388163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4*f + 1\/9*f**4 - 2\/3*f**2 + 4\/9*f**3 = 0. Calculate f.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 15*p**3 - 171*p**2 + 285*p - 132.\nAnswer: 3*(p - 4)*(p - 1)**2*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 426287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -635 + 1261. Let k = -440 + l. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -9520021.1.\nAnswer: -9520019.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292162\/153363 + -2\/7303. Let b = -3539\/23430 - 1\/2130. What is the common denominator of b and o?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/((-4)\/1))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8692, 17383, 26076, 34771, 43468, 52167?\nAnswer: 60868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 6*n + 10 - 28.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2839995923 to the nearest integer?\nAnswer: 53292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*d**3 + 1 + 5 - 4.\nAnswer: 110*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 3. Let k(y) be the second derivative of y**2 - 5*y. Let t(z) = -4*c(z) + 6*k(z). Let v(w) = 2*w. Calculate t(v(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.5 + -108. Let t = -0.19 - -0.25. Let a = t - -0.14. What is the closest to -2\/5 in a, -3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n - 26*n - 23*n**2 - 43*n**2 - 45*n.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18\/9*1)\/((-27)\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from ruloorulrbrooiiouooo.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2462790 and 91\/216480.\nAnswer: 1615590240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*y - 1241 + 46 = 565. Solve -2646*n = -2635*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 + 1. Let n(k) = 6*k**3 + 7*k**2 - 2*k - 5. Let j = 46 - 47. Let h(g) = j*n(g) - 5*m(g). Calculate h(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4) - -9) + -1 + (8 - 27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/2*(-20)\/15. Let g = s - -16. What is the units digit of (-4)\/g + 133\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggge when four letters picked without replacement from gbbggebgbbe?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19783 and 7.\nAnswer: 138481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/12 - 2*l**3\/3 + 7*l**2\/2 + 7*l. Let x be g(7). Suppose 43 = 3*u - 2*n, 2*u + 3*n = 5*n + x. Solve q - u = 6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let u = b - 2. What is the third biggest value in u, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101540089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 12. Let d be (((-8)\/y)\/1)\/(20\/(-70)). Suppose 0 = -5*l - z + 543, 531 = 5*l - z - d*z. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1585)\/20)\/((-13)\/260). Suppose -143*t = -148*t + g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 386787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 351 + -351. What is the closest to u in 4, -6, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -131. Suppose -3*u - 2*j + q = 3*j, -25 = 5*j. Let r = u - -19. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 12*h**2 + 15*h - 21. What is the remainder when o(11) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223002003 (base 4) in base 10?\nAnswer: 700547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 40 = 10*u. Suppose -30 - 234 = -u*t. Let s = 98 - t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343490722 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (757*q + 36*q + 1 - 1)*(-3*q**3 + 3*q**3 + 6*q**3).\nAnswer: 4758*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a + 3 + 2*a**2 - 3*a**2 - 15 - 4. Determine d(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + (-68)\/(-16). Differentiate p - l + 5 - 2 - 3 with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -20*o**2 - 4*o + 21. Let h be j(4). Let n = 182 + h. Let m = 619 + n. What is the greatest common divisor of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 244535693?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h - 2. Let t(f) = 8 - 3 - 1 + 1 + f. Let i be t(0). What is the units digit of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 5*n + 6. Let a be m(4). Let i(q) = 2*q**2 + 5*q - 4. Let p(h) = -h**2 - 4*h + 3. Let x(v) = a*i(v) + 3*p(v). Calculate x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12307 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -130*k + 2. Let w be f(-3). Let d = -230 + w. Is 9 a factor of d\/10 + (-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 131.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-30)*90\/8. Solve -p + 15 = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-11)*(2 + 5\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04121307 times 0.2\nAnswer: 0.008242614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5584475 times 18?\nAnswer: -100520550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48036000 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -2954, 0.2, 0.1 in decreasing order.\nAnswer: 3, 0.3, 0.2, 0.1, -2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 5. Let x be t(-2). Let i be (1 + (1 - -2))*(3 + x). Differentiate 4*u + 18 - i*u + 38*u with respect to u.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 8.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/12))\/(q*q\/(q**7*q)*q*q)*(q*q*q**(1\/2))**(3\/8)*(q*q*q\/q**(2\/7)*q**(2\/19)\/q)**5 assuming q is positive.\nAnswer: q**(95453\/6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6391419\/34400 + -5945\/32. Find the common denominator of h and -37\/40.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)*(-3 - 17). Calculate the highest common factor of n and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -6, 67*r - 65*r - 21 = -5*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6216 - -6214. What is the nearest to -0.3 in c, -0.2, -0.036?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 3*x**3 - x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5476102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 471, 4, -34 in ascending order.\nAnswer: -34, 1, 4, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {g: 4, z: 1, h: 10, q: 4}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.00984 = -4.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4601*y**4 - y**3 + 2*y + 272387?\nAnswer: -18404*y**3 - 3*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.72 (b) 0.2 (c) -2\/11 (d) 0 (e) 589 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3790 (b) -2 (c) 3 (d) -0.2 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -39. Let a be 0\/1 + -1 + c. Let n = -321 - -466. Calculate the highest common factor of a and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(3 + -2) - 20344\/(-2904))*3 - -3\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68831?\nAnswer: 7, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 11*b + 5*b = 65*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -2. Let y = 16 - w. Suppose 3*f - 63 = 3*r, 3*f - 5*r - y - 57 = 0. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {e: 3, h: 3, i: 2, c: 1, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.68 + -17. Let d = 39.68 - k. Let r = d - 36. What is the second smallest value in r, 3, 1.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*q + 6 = -2*z - 8*q, -q - 29 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 20*c - 19. Let z(d) = -8*d**2 - 39*d + 37. Let i(s) = 10*a(s) + 4*z(s). Factor i(j).\nAnswer: -2*(j - 21)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + 0))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*w**5 + 176 - 176 + (w**3 + 0*w**3 + w**2 + 0*w**2)*(0*w**2 + w**2 + 0*w**2 + w).\nAnswer: -16*w**5 + 2*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352 - -5177. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09317*2.\nAnswer: 0.18634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*sqrt(99) - (sqrt(891) + -1 + sqrt(891))*-5)**2*5.\nAnswer: -6300*sqrt(11) + 873305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t + 16*t - 6*t)*(-24 + 12 + 16)*(-2 - 1 + 1) in the form v + i*t and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00235184383 rounded to seven dps?\nAnswer: 0.0023518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 5*c - 26, 0 = 3*y + 4*c + 416479 - 416469 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035623 is divided by 27253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 f when four letters picked without replacement from {p: 5, w: 3, e: 1, f: 6}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/5 + (-10)\/(-25). Suppose -48 = 3*d - v*d. Suppose 0 = -s + 3*x - 14, -5*x + 36 - d = -s. Is 0.05 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*a = 22, v - 11 = 5*a - 0*a. Is 12 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228.4 in -0.1, -0.3, 5.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, 72, 2.\nAnswer: -4, 1, 2, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 12*z - 54. Solve 3*h - 4*b - 16 = 0, -6*b + 11 = z*h - 5*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3828 and -263.764.\nAnswer: 3564.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.707 * 130.\nAnswer: 871.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-112))\/(27\/3836) - (-2114)\/(-2718)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 2.1. Which is the closest to -0.3? (a) 5 (b) -3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158.4 + -189. Let o = d + 31. Let r = -140\/657 + -2\/219. What is the third biggest value in r, 1, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3, 10 = x + 3*i + 6. Suppose -5*u = -3*u + 5*w - 2, -3*w = -5*u + 5. Let g(k) = 7*k**3 - k**2 + k. Let a be g(u). Is x less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1 - 5) - 1. Let k = -2376\/7 - -9497\/28. Which is the third smallest value? (a) k (b) -17 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 72 = -0*p. Suppose -40*b = -38*b - p. Solve -3*q + 0*q = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200074*h*o*z + 247*h*o + 91435*h*z - 148*z with respect to o.\nAnswer: -200074*h*z + 247*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*c + 5 = 1, -k = 4*c + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401031.43 rounded to the nearest 10000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 870 + -858. Solve -2*f - 2*l = -8, -3*l = 2*f - 5*f + z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -3 (c) -1\/93 (d) -0.848 (e) 2\/19 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3100*l - 3097*l = 6, -56*j + 2*l + 112 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/35)\/(4\/10). Let c = -12 - -25. Let n = m + c. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -9 + (7 - 7) - 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16729 + 67583\/4. Let t = -167 + a. Is 0.1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**3 + 3*s**3 + 8*s**3 - 8*s**3.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -3 + -3 + 4 + 97. Let b = -109 + u. Put 3, 4, 2, b in descending order.\nAnswer: 4, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60549 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 18 - 1\/24*g**4 + 0*g - 1\/6*g**3 + 5\/6*g**2. Factor o(z).\nAnswer: -z*(z - 2)*(z + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m = h - 82*m - 4, 0 = 5*h + m + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5723 - 5830 + 17385 - 5836 - 21*u**3.\nAnswer: -21*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 201 - 140)*(2*x**2 - 2 + 2).\nAnswer: -362*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(154\/(-42))\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 16*d**2 + 14*d - 11. Let n be m(-17). Let r = -34 + n. What is the third derivative of 4*v**2 - 6*v**5 - 16*v**r + 6*v**5 - 2*v**2 wrt v?\nAnswer: -1920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25287 > 382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21801700273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2163417 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3393697.\nAnswer: -4\/3393697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4*p**(-6))\/((p*p*(p**(1\/2)*p)\/p*p*p)\/p**5))**(-8\/5) assuming p is positive.\nAnswer: p**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261.8038641693 - -0.1961611307. Let q = 262 - f. What is q rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 7*i + 360. Suppose 0*y + 4*y = i. What is the remainder when y is divided by -1 + 10\/1 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j + 39*j - 2*j - 93*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17120 and 17120?\nAnswer: 17120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -565, -939, -1313?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10 - 5. Suppose 0 = -4*h + 2*t - 10, s*h + t - 5 = 2*h. Let z be 2 + 1\/((-6)\/14). Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1640238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 55. Calculate the highest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/2372609?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 844 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 33 - 10*u**2 - 62 + 51 + 13*u - u**3. Let j be z(-11). Solve j = -2*l + 4 - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 20 = -z, 4*h + 0 - 27 = -3*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258103 divided by -67.\nAnswer: 258103\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7886.1 - -7886. What is the nearest to i in 5, -1.7, -4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22*w**2 + 2420*w - 18. Let i(y) = -13*y**2 - 1209*y + 11. Give -5*i(u) - 3*t(u).\nAnswer: -u**2 - 1215*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29160743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*h - 23059 = -17891 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -61*b**2\/2 + 53*b + 23. Let q be r(-15). Suppose q = 3*g + y, -5*g + 3*g - y + 645 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -97. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95560992 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: Divide -182077 by 9.\nAnswer: -182077\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-7)\/(-3) - 374\/51?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -144*y + 687. Let f be p(4). Solve -86 = 5*d - f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-1)\/3). Suppose 2 = -a*v - 0. Let g(s) = -s**3 + 14*s**2 - 13*s - 3. Let o be g(13). What is the nearest to v in 0.3, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 1. Let m(d) = -d**2 - 1. Let f(v) = 5*m(v) - r(v). Let o(k) = k**2 + 47*k + 525. Let t be o(-29). Calculate f(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 36 - 25 = 0. Let h = r - 49. Let f = h + 437\/4. Is 0 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.6, -0.2, -0.1, -45?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*l**3 + 8477*l**3 + 358*l**3.\nAnswer: 9953*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (0 - (-33)\/3). Suppose -w*q = -4*q - 12. Suppose 6*z = -4*i + 3*z, q*i = -5*z - 11. Solve -t - 11 = 4*y, 2*y + 10 = t - i*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 4*m**2 + 48*m - 11. What is u(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/140 - 17*v**4\/56 + 71*v**2 - 129*v. Let f(i) be the first derivative of q(i). Factor f(g).\nAnswer: 3*g*(g - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -98*j - 55*j - 2581 + 9925 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (0 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 0*l**2 - 2*l**4 + (-61 - 10 - 27)*(0*l**4 + 3*l**4 + 0*l**4).\nAnswer: -296*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517 + -521 + (-13 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r. Suppose 4*s = 4*u, r = -2*u - 2*s - s + 20. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - d - d = -66, -4*t = d - 271. Suppose -t = -2*m - p, -4*m - p = -10 - 128. List the prime factors of (-10)\/m - 51\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-36)\/12*57\/63)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:57 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*m - 0 - 3, 17 = 3*m - 4*n. Let u be 0*m\/4*2. What is the third derivative of -2*z**3 + u*z**2 + 0*z**3 - 2*z**2 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Let f(j) = -17*j - 5. Let h(b) = 9*b + 2. Let r(k) = -2*f(k) - 5*h(k). Determine x(r(w)).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6364 rounded to one decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.76 in 2\/19, -5, 261, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3029 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2)*s)*s**(1\/2))**(-6) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-602)\/72)\/7*(-72 - -69). Is b equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.63 - 59.5. Round v to 1 decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 9*b - 100 = 0. Let r(g) = -g**3 - 26*g**2 - 26*g - 22. Calculate the smallest common multiple of r(b) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 10*w + 22. Determine g(-4).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -124 in -1, 0.4, 1\/25, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 - 7*t**2\/2 + 12*t - 7. Let z be n(5). Let q be (4\/(z\/(-28)))\/((-12)\/9). Is q greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = f + 1, f - 3*r + 1 = 2. Solve 0*q = -q - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 17 = 2*g, -306*g + 304*g + 5*p = -11 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let o = 10262 + -10240. Let l be ((-86)\/40 - s)*o\/33. Which is the third smallest value? (a) 14\/3 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.436 - 0.064. Let z = -16.5 - f. Which is the smallest value? (a) 2\/9 (b) -39 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/4 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79076 and 323018?\nAnswer: 34239908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:02 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31681, -31574, -31467?\nAnswer: -31360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/56938 and -33\/16268?\nAnswer: 113876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(4200))\/((2*sqrt(1800) - sqrt(18))\/sqrt(3)).\nAnswer: 10*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 324*d**3 + 3*d**2 + 6*d - 4. Calculate f(1).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0376 and 0.1.\nAnswer: 0.00376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x**(2\/11)*x)\/x)*x)\/x)**11\/(x*x\/(x*x**(-1)))**(1\/2) assuming x is positive.\nAnswer: x**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 633 - 545. Suppose 10*b = -48 + p. Solve -2*j = 5*s - 28, -3*j - 4 = -b*s - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2641256, 2641251, 2641242, 2641229, 2641212?\n\"Answer: -2*p**2 + p + 2641257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (54*o**2 + 102*o**2 + 45*o**2)*(-o + 5*o + 5*o) + (2*o**2 - 3*o**2 + 3*o**2)*(4*o + 0 + 0) in the form m + h*o + x*o**2 + i*o**3 and give i.\nAnswer: 1817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 2, 0.4, 3, 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 9*c**2 - 14*c + 9. Let o be m(-10). Suppose -6*h - o = -1. Does 27 divide ((-162)\/4)\/(2\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1302 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/9))\/(m**(2\/5)\/m)*m**(-3\/5)*m**4*m*m*(m**0*m**0)\/(m*m**(2\/7)*m**3\/m) assuming m is positive.\nAnswer: m**(248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otlottlzlonzotlo. Give prob of sequence zot.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 16*b**2 + 7*b + 14. Let z(m) = -7*m**2 - 3*m - 6. Let n(a) = -3*y(a) - 7*z(a). Let h(x) = -14*x**2 + 1 - 1. Give h(n(f)).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13506383 != -13506389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjnjjjqjjjqjjqqjq. What is prob of sequence jnqj?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 13*a**2 - 3*a + 88. What is the least common multiple of 24 and d(-11)?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 74*d + 8. Let i be (-3 - -4)*-5*(-8)\/10. Suppose -4*p - m + 3 = -3*p, 10 = i*p + 2*m. Is 41 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/7*(-4 - 3). Suppose 4 = -0*u - f*u. Let v be (((-3)\/(-9))\/1)\/(u\/(-39)). What is the greatest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 97237\nAnswer: -97255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7)\/k**(1\/6))\/(k*k\/k**(2\/7))**(-19))**(-21\/8) assuming k is positive.\nAnswer: k**(-1379\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -30*h. Let z(i) = -86*i + 1. Give 11*s(q) - 4*z(q).\nAnswer: 14*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1.1. Let l = 1050589\/450255 + 2\/150085. Let m = -7 - -6. Which is the biggest value? (a) m (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6750 is divided by 1100?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -87, -229, -499, -939, -1591, -2497?\n\"Answer: -7*u**3 - u**2 - 4*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36583590, 36583581, 36583572, 36583563?\n\"Answer: -9*t + 36583599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 219, 221, 223, 225?\n\"Answer: 2*v + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 + 72*p + 432. Calculate d(-7).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(24\/7)*u\/u**25 assuming u is positive.\nAnswer: u**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.87879 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u, 17*u - 12*u + 22 = 3*b. Solve 4 = 5*m + b*y, -3*m - 5*y + y = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n**2 - n + 1. Let v be d(2). Suppose -3*h - v = 2*j + 71, -3*h = 4*j + 140. Calculate the common denominator of ((-34)\/h)\/((-2)\/8) and 40\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3344 and 13068.\nAnswer: 993168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2076 and -71\/30.\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 16. Let y be b(-4). Let o = 28 - 26. Solve 2*s - 12 = -y*h, -3*s + 8 = o*s - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 2:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123027 is divided by 364.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, n: 3, a: 5, s: 1, o: 1, z: 3}. What is prob of picking 2 n, 1 s, and 1 z?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6397425.\nAnswer: 3, 5, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 145*f - 29. What is the tens digit of w(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -42*b + 458. Let o be g(11). Let u(t) = -2*t + 6. Calculate u(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -82. Let o = -4534.7 - -4540. What is the third biggest value in -0.5, s, o, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -769 + 764. Let h = 4.09 + -0.09. Sort h, -0.5, s in decreasing order.\nAnswer: h, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 + v - 1. Let c(d) = -52*d**3 - 7*d**2 + 5*d + 2. Let k(f) = -c(f) + 5*y(f). What is the third derivative of k(s) wrt s?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270819*f**2 + 2*f - 270819*f**2 - 172*f**4)*(-1 + 1 + 14*f + 11*f - 147*f).\nAnswer: 20984*f**5 - 244*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2. Suppose 5*g = 102*a - 106*a + 28, -g + 14 = -2*a. Let h(f) be the first derivative of -5\/2*f**2 + g + 0*f. Determine h(u(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.176 and -0.12?\nAnswer: 0.02112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191464.\nAnswer: 2, 7, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 6*n**3 + 7*n**2 - 4*n**3)*(-n - 1 + 1).\nAnswer: -2*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -3013770 and -306.1687.\nAnswer: -3014076.1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25168 and 1507792?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 5. Suppose o = -5*k - 0*k + 20, -3*o - 40 = -h*k. Suppose 3*g = -2*s + 24, -4*s + 9*s - k*g = 110. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691 = s + 5*t - 701, -4*s - 3*t + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -145. Let n be (-50)\/(-4)*f\/10. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = 5*u. Let w be 56\/(-21)*(-6)\/u. What is the tens digit of 153\/w + (-15)\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113253 (base 7) in base 16?\nAnswer: -4f95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1989\/64540 + 35\/922. Let y(f) be the third derivative of 23*f**2 - 1\/12*f**3 + 0*f + 1\/20*f**5 + 0*f**4 + m*f**7 + 1\/30*f**6 + 0. Factor y(c).\nAnswer: (c + 1)**3*(3*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**8\/7560 + q**6\/1620 - q**3\/3 + 3. Let l(a) be the third derivative of r(a). Factor l(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70.98 and 0.5.\nAnswer: -35.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o - 1\/2*o**2 - 2*o**3 + 2. Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 - 2889 + 275 + 655 + 656 + 24*d**3 + 653.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 5*y**5 + 3*y**2 + 4*y**5 + (0*y**3 - 5*y**3 + 3*y**3)*(y**2 + 2*y**2 - y**2).\nAnswer: -5*y**5 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 484858 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((-37 - -30) + 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 7*u + 11. Let r be i(-6). Let n = r + -1. Is -0.1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 - 6*q + 3. Let v be g(6). Suppose 5*f + 5*u = 35, 5*u = f + v*u - 4. Let b(k) = -800*k. Let n be b(f). Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716 > 3713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/5 - (-9)\/(315\/14). Suppose 11*r - 1776 = p*r. Is 37 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474, -943, -1410, -1875, -2338?\nAnswer: -2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = -7*k. Let l(g) = 4*g**2 - g - 1. Give l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/36*1)\/((2130\/(-71000))\/((-3)\/10)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -300*c**2. Let z(t) = 191869*t. Give g(z(m)).\nAnswer: -11044113948300*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - m = -7, 94 = 5*m + 64 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*q**2 + 5 - 4 + 4 with respect to q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2) + (18\/15)\/((-24)\/(-40)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*6\/(-27))\/((-62)\/(-279)). Let a(k) = 12*k**3 - 6*k**2 - 6. Let c(g) = 12*g**3 - 7*g**2 - 7. Calculate r*c(j) + 7*a(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z - 6. Give s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10310410 - -5?\nAnswer: 10310415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*j - 20 + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -83. What is the remainder when d is divided by 26\/3*(-8 - (5 - 16))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*d - 22*d - 134*d - 58*d**3 + 75*d - 55*d**2 in the form t + v*d**2 + g*d + x*d**3 and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 6. Suppose -4*s + 224 = 2*x + 2*x, -244 = -a*s + x. Let v = s - 27. Calculate the remainder when v is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.39 and -27032.\nAnswer: -27030.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26884 and 418.\nAnswer: 510796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - ((-7 - 0) + 1). Let y = 911891240\/707 - 1289804. Let z = y + -2\/101. What is the closest to j in 2, z, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020200002 + -21?\nAnswer: 102020122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + o + 1. Let i(m) = 1. Let h(q) = i(q) + x(q). Let w be h(5). Suppose w = 4*t - 9. Solve 4*n - t = -16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2231?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 - 7*k - 6. Let w be g(6). Let y = w + 82. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16645*h**2 + 10*h - 12. Let y be z(6). Let r = -1206172 - y. Round r to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.53232 and 35.\nAnswer: 34.46768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/13 - 481046*d\/13 + 962100\/13 = 0. What is d?\nAnswer: -240525, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -39, -2, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(192)*-1 - sqrt(192))*3 - (-5*(1 + sqrt(192)) - (sqrt(192) - (sqrt(192) - (-2*sqrt(192) + -5))))) + 0)**2 + 4.\nAnswer: -720*sqrt(3) + 1957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -7*j**5\/60 - 24*j**2. Let v(t) = -13*t**2 + 4*t**2 + 18*t**2. What is v(q(h))?\nAnswer: 441*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -32953 at least as big as -32953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11351*d = -4451*d + 4229*d - 723385 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {z: 9, o: 2, k: 4, b: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 78077\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18488, 37038, 55588, 74138?\nAnswer: 92688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 308525 divided by -8815?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/1344 + (-451)\/(-3608)*(-2)\/4\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210*w + 2215*w - 301 = -4*g, 166*w = -g + 9466 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhchbcbubjjbojh. Give prob of sequence bbh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -25256.7?\nAnswer: 25257.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27790337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -57. Let r(c) = 6*c**2 + 11. Let i be r(-3). Suppose 9*b + 11 - i = 0. Calculate the lowest common multiple of d and b.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2\/21*p**3 + 1\/7*p**2 + 0 + 11*p - 1\/14*p**4. Factor c(k).\nAnswer: -2*(k + 1)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.5 + 0.5. Let x = -0.27 - 0.03. Sort 1\/4, a, x in ascending order.\nAnswer: a, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 9320?\nAnswer: 121160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 3*q**2 - 3*q + 21. Calculate the remainder when 1675 is divided by y(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 483546*s + 465992?\nAnswer: 483546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 47*k = 27448. Calculate the least common multiple of 18 and k.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11577270 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(2\/27)*g)*g*g*g**(-2)*g*(g*(g**12\/g)\/g)**(-1\/13) assuming g is positive.\nAnswer: g**(-271\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2\/2 + 2. Let u be x(-5). Suppose -2*p + u*c = -15, 2*p + 3*c + 28 = 7*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 12) to base 15.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 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: In base 4, what is -2 - -1110123303113?\nAnswer: 1110123303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 2*l**3\/3 - l**2 - 2*l + 2. What is the units digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -2 (c) 3\/2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*5\/50 + (-73)\/(-5). Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.00889249 and -2.\nAnswer: -5.00889249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 11 + 1, 3*m - 2176 = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-1)\/2*1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**6*x*x)\/x)\/x**(1\/7))**(3\/17)*((x**0)**(-38\/3))**(19\/3) assuming x is positive.\nAnswer: x**(-66\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 4*d**2 + 2*d + 5. Let n be f(4). Suppose 20*t - 28*t + 8 = 0. Is -1 + (n + 0 - t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(567) - -6*sqrt(567)*-2 - (4 + sqrt(567)*-1)) + 1)**2 + -4 + -5).\nAnswer: 2160*sqrt(7) + 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 40. Let m(y) = y**2 + 2. Let n(h) = 5*h**2 + 6*h - 11. Let r(s) = 2*m(s) + n(s). Let w be r(q). Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 2*q**2 - q + 1. Let g be c(-2). Let r be (5\/(-30))\/(3\/(-12)). Find t, given that -r*t**g + 0 + 2\/3*t**2 - 2\/3*t**4 + 2\/3*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adda when four letters picked without replacement from tggadatgagadddg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -826 - -825.6. Sort 1, 88, v, -1 in decreasing order.\nAnswer: 88, 1, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5 + 5)*(-2*m**2 + 5*m**2 - 2*m**2) + 819*m**3 + 920*m**3 - 542*m**3.\nAnswer: 1200*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.25 - 0.3. Let l = -0.05 - t. Let h = 179\/4 - 46. Which is the third smallest value? (a) h (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.2, -0.5, -5, -208?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:37 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-120)\/220*495\/(-30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1510177\/52 + -29041. What is the common denominator of -107\/10 and u?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 1185065*o - 1185063*o + 144 - 1185066*o + 3555194*o.\nAnswer: 4*o**2 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*1*2\/30\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 2c73164?\nAnswer: 2c7315b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1, 0.4, 404522 in descending order.\nAnswer: 404522, 0.4, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 2*h + 5*h + 4 + 2*h - 4 - 2*h + 0*h + 4*h + (-2*h + h - h)*(1 - 2 - 1).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -279, 509, 0.3 in descending order.\nAnswer: 509, 0.3, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -0.006 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 40 - 40.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36\/5, 3\/2, 0.1, -5, -0.5, 2\/9, 0.84?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 305 + -330 + (0 - -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1060 and 65\/4664.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13815.7 and -0.048976.\nAnswer: -13815.748976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -253, -248, -243, -238?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 5*l**2 + 2*l + 7. Let h(o) = -5*o**3 + 7 - 11 + o + 3. Let x be h(1). Determine g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17*x*x*x*x**(-6\/11)*x)\/(x**18\/(x**(9\/8)*x)) assuming x is positive.\nAnswer: x**(403\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 2*d - 2. Suppose -b = 2*b. Suppose -4*y + 5*o + 36 = b, -o + 36 = 4*y + 2*o. Is s(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.41211 nanometers to centimeters.\nAnswer: 0.000002241211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -942 (b) -6 (c) -41 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 150.12, -0.5, -5, 1\/5, -0.4, 3 in descending order.\nAnswer: 150.12, 3, 1\/5, -0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -13*h**4\/24 - 63*h**2\/2 + 2*h + 197. Let i(g) be the second derivative of x(g). Let r(q) = 6*q**2. What is r(i(t))?\nAnswer: 1014*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y. Let b(f) = -4*f. Let s(a) = -17*b(a) + 6*o(a). Let t(z) be the second derivative of -z**4\/6 - 2*z. Calculate s(t(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 124\/3 (b) 1597 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2698856 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14115?\nAnswer: 3, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2678.7264 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*s - 10, 3*p + 0*p + 1 = 5*s. Let c(d) = -p - 9 + 0 + 0*d + d. Let q be c(5). Let l(k) = -k**2 - 4*k + 10. Determine l(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -171, -11 in descending order.\nAnswer: 5, 0, -11, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -178993782 divided by -2182851?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057)*1)**2 + 5 - sqrt(2057) - sqrt(2057)) + (sqrt(2057) - 1*(sqrt(2057)*1)**2))*5*4.\nAnswer: -220*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w + 4*w - 4*w - 2*w + (-1 + 0 - 1)*(5*w - 4*w - 3*w) + 0 - w + 0)*(1 + 0 - 5).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/(-16)*94\/(39480\/(-490))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 35*m - 1 - 3 as x + a*m and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 110. Solve 14 = u*v - 2*s, 0*s - 14 = 3*v + 4*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114)*5 + -1*-1*sqrt(114))\/((2*sqrt(126)\/sqrt(3))\/sqrt(7)) + 0)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p**2)*(-10*p**2 + 7*p**2 + 10*p**2) - 1566 - 24*p**4 + 1566.\nAnswer: -31*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/1)\/3)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 + 3*i - 4. Let n be l(-4). Suppose n = -0*c + 3*c - 18. Calculate the remainder when 10 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101\/25 - -93\/25. Is o equal to 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 4991, 11979, 21765, 34349, 49731, 67911?\nAnswer: 88889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((u + 0 + 0)*(-10 + 8 + 12) - 1 + 1 - 2*u)*(-2*u**2 - 3*u**2 + 3*u**2) as h + z*u**3 + c*u**2 + f*u and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28043 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4110 - -48710. Round p to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 10 - d + 21 - 28 to the form l*d + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199359.\nAnswer: 7, 31, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -70. Suppose -y*z + 3 = m + 12, m - 26 = 4*z. What is the smallest value in -5, m, -1, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 229c?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12552 is divided by 182.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -309, -5, 3 in ascending order.\nAnswer: -309, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 20. Let h(r) = -12 + 11*r + 0 - 75*r**b + 74*r**2. Let u be h(8). Solve v - 5*v - u = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 1. Let c(y) = -5*y**2 - 6*y + 8. Let i(p) = c(p) - 6*x(p). What is the derivative of i(l) wrt l?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294815749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86206906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158425 is divided by 60.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42\/4)\/(-4 + h\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3106247 and 3235?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + q + (0*q + 0*q - 2*q)*(-4 + 3 - 1) + q + 0 + 0)*(-4 - 5*q**4 + 4).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -83523.\nAnswer: -17\/83523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005522 rounded to 4 decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 - y**3\/3 + 28*y**2. Let r(t) = 4*t + 4. Calculate 3*r(h) + 7*u(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/25, -1\/7, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfv when three letters picked without replacement from {x: 1, f: 2, j: 3, s: 1, y: 2, v: 10}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 127.1, 0.2, 1\/4, -5 in increasing order.\nAnswer: -5, -0.3, 0.2, 1\/4, 127.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111934 times 0.5\nAnswer: -55967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + x + 11 = 0, 0 = 11*p - 8*p - 4*x. What is the tens digit of 91 + (-3)\/15 + p\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 5)*(9 - 9 - 6) + 1 - 12 - 4)*(-3 + 3 + u) to c + d*u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4007547028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbyjnmr. What is prob of picking 1 n, 1 j, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-22 - -40)) + 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1113*i**3 + 2*i**2 + 2*i + 4. What is the hundreds digit of x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:34 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -4\/15*b**6 - 12*b**3 + 0 + 51*b + 0*b**4 + 0*b**2 + 0*b**5. What is the second derivative of d(r) wrt r?\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.96 - 11. Let k = t - -3.04. Let p = 0.3 + 0.1. What is the nearest to 0.1 in 1, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24696362.\nAnswer: 2, 43, 287167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + d - 33, 0 = -4*v + 2*v + 2*d - 18. Let b(f) = f**3 + 7*f**2 - 8*f + 4. Let r be b(v). Solve 4*y + 20 = 2*z, r*z - 4*y + 13 = 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 - 8*y - 9. Let h be a(-6). Suppose z - h*z = 3860. Round z to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 444 + 395. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 g when four letters picked without replacement from ggfggfgfgf?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -20. Suppose 0 = 3*b - 5*k - 72, -o*k - 3 = -3*k. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) + -1*sqrt(77) + sqrt(77)))\/((sqrt(98)\/sqrt(2))\/sqrt(7))*-1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 - (6 + -6). Let j be (-1 + c)*(-17)\/(-4). Is -16 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(3\/(270\/10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 11, 20, 31, 44?\n\"Answer: r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 594, 592?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1660 + 1852. What is the least common multiple of 96 and j?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**(-8\/5)\/((k*k\/(k\/(k**10*k)))\/k**(-9)) assuming k is positive.\nAnswer: k**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f*f)\/f*f\/(f*(f**(-5)*f)\/f*f*f)*(f*f**3\/f)\/(f\/f**(-3\/7)))**(-46) assuming f is positive.\nAnswer: f**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39572976 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43618 is divided by 21664?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/45 (b) 785.8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -69 + -2 + (-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 331*t**2 + 421617*t - 421617*t to the form w + o*t**3 + d*t + x*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 2*d + 5*d)*(296 + 87 - 59)*(3*d - 2*d + 2*d).\nAnswer: -972*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Solve -j*i + 9 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 11492\nAnswer: 574.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447040.9km to nanometers.\nAnswer: 447040900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 202348*d - 404688 = 0. Calculate d.\nAnswer: -101172, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 16 + 15 = y, 4 = 4*a + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/21 - 7*k**6\/15 + 3*k**5\/2 - 3*k**4\/2 + 33*k - 1. Find j, given that m(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5275653 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*i - 38751 = 27521 for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 85653.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + 0 + 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 2, c: 2, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-6 - -6) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6948\/348 - 20)*(-2)\/(-2).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 - 8*t + 5. Let x(r) = -4*r**2 - 5*r + 3. Calculate -5*p(h) + 8*x(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-6) + 9\/((-135)\/(-2030))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -127, -232, -391, -622, -943?\n\"Answer: -3*a**3 - 48*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1054\/6*-32*315\/(-140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203076 (base 9) to base 10\nAnswer: 120354","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhphhp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9678*t - 99 = -9689*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -1) + 4 + -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 2*b - 51. Suppose 0 = -4*r - b - 77. Let l = r - -326. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 174 = -r. Suppose -29 = 3*b - 44. Suppose b*w - 178 = -r. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:37 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.144563113 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**5 + 2*v**5 + 2*v**5 + (0 + 1 - 2)*(-7 + 7 + 4*v**5).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let a = 0.002 + -0.002. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-9) + 35\/(-30) + (-8)\/48.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004802133 to six dps.\nAnswer: -0.004802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 - 339*k**2 + 4848*k - 2340.\nAnswer: 3*(k - 30)*(k - 26)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*t**5 + 110*t**4 - 2*t**3 - 3*t**2 + 1846*t + 4 wrt t?\nAnswer: -600*t**2 + 2640*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*-3*sqrt(170)*-6)\/(-4*sqrt(1000) + sqrt(1000) - sqrt(360)*3).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 + 8*y - 2*y**3 + 9*y**2 + 5*y**4 + 0*y - 7*y as z + w*y**4 + b*y**2 + h*y + n*y**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 10. Suppose 2*m - 3*y = -1 - 5, -3*m = -2*y + 9. Let g be (l - m) + (-1)\/(-1). Solve -2*x = -0*x + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 170 = 6*d. Suppose -3*q + d - 25 = 0. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22913817 and -0.5.\nAnswer: 11456908.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-810)\/189 + 2\/7 + 2. Let p be 30\/(-25)*w\/(-4). What is the second biggest value in p, -0.22, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1640725 and -4922174\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -179*w + 1611. Let d be y(9). Solve -2*x - 15 = -5*b + 2*x, 4*b + 2*x + 14 = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 3*r + 8*r - 3*r to s*r + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*a = -6*a - 728, 3*j - 2*a - 1091 = 0. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 - 9449182?\nAnswer: -9449008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1350\/372569 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/35 - -29\/105. Which is the closest to s? (a) -0.5 (b) -1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 less than -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0091711545 and 1.\nAnswer: 0.9908288455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**25*((h**(-1\/4)*h)\/h)\/((h\/(h*h**(-5))*h)\/h) assuming h is positive.\nAnswer: h**(-389\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 1. Let j(t) = t**3 + 6*t**2 - 32*t - 162. Let l be j(-4). Let p(x) = -5*x**2 + x - 3. Determine l*p(d) + 5*c(d).\nAnswer: -5*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -620\/3*q + 52\/3*q**2 + 0 + 1\/3*q**3.\nAnswer: q*(q - 10)*(q + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1936, -0.03, -0.2 in decreasing order.\nAnswer: 1\/5, -0.03, -0.2, -1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42459779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*m**4 - 4\/5 + 16\/5*m**3 - 24\/5*m**2 + 16\/5*m.\nAnswer: -4*(m - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + g - 4*g = -35, 0 = -5*g + 10. Calculate the remainder when 78 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 + 115. Suppose 5*u - 5*j = 5, -5*u - 2*j - 35 = 3*j. What is the nearest to 0.2 in f, 4, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3497893 and 5481.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2 + 2\/3*m**3 - 7\/2*m**2 + 7\/4*m**4 - 3*m. Let b(f) = -f**3 + f + 1. Let l(r) = -6*b(r) - u(r). What is l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5883791470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 2736 = -123*q. Calculate the highest common divisor of q and 2472.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 12, 0 = -856*h + 855*h - 4*n + 81233. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 11*z**2 - 11*z + 8. Let s(b) = b**3 + 11*b**2 + 4*b + 23. Let c be s(-10). Suppose -77*y + 72 = -c*y. Give m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45358185, -45358188, -45358191, -45358194, -45358197?\n\"Answer: -3*m - 45358182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5089 is divided by 208.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/7 - 6549*n\/7 - 26148\/7 = 0. What is n?\nAnswer: -2179, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192297 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -66.000000515. What is f rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246576273459\/28 + 8811131641. Let t = v - 4834004. Let p = 2156 - t. Calculate the common denominator of 31\/12 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 629 in increasing order.\nAnswer: -3, 4, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36834*v**2 - 5*v - 211190 wrt v.\nAnswer: 73668*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4.1. Let h = 0.1 + p. Put 0.2, h, 0.3 in descending order.\nAnswer: 0.3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2. Which is the nearest to h? (a) 1\/7 (b) -6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257354750 to the nearest integer?\nAnswer: 16042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.1 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 66 (c) 0.1 (d) -1.4 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4550 and -63\/244?\nAnswer: 555100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34697, 33812, 32337, 30272, 27617?\n\"Answer: -295*q**2 + 34992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) -2\/7 (c) 19\/2 (d) 0.4 (e) 1\/71943\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6896551.41 milliseconds in weeks?\nAnswer: 0.011403028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-84)*7*(-2)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423336?\nAnswer: 2, 3, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2482, -4954, -7426?\n\"Answer: -2472*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*t - 808368*c + 522979*t with respect to t.\nAnswer: 2*c + 522979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + (-18)\/(-4). Suppose -o*q + 2 = -18. Suppose -3*d = -3*a + 102, q*d - 3*d = -2*a + 56. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -189010, 5 in descending order.\nAnswer: 5, 3, -189010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1600690530 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 814786 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 96 + (-247 - -159) - (-2 + 1 + 0 + -48)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85*((-636)\/120)\/53)\/(2\/(-8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*o**2 - 64*o**2 - 24*o**2 + 23*o**2 - 14*o**2 as q*o**2 + h + a*o and give q.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/3))\/s)\/(s**(-1\/2)\/s))\/(s**21\/s**33) assuming s is positive.\nAnswer: s**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 8. Let n be w(-6). Let j be 2\/1 - n\/(-1). Calculate the highest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooocooooooooooo. Give prob of sequence co.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7951960 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.5885nm to centimeters.\nAnswer: 0.00007365885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-45)\/10)\/((-1)\/2). Let d be ((-16)\/(-24))\/(1\/n). Solve -2*w + 0*a + 1 = -3*a, -3*w + 2*a = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:44 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - 1. Let f be a(-2). Let o = -5 + f. Let q = 3 - -2. Sort o, q, -3.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((1*-3)\/1)\/(127\/(-127))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l + 0*l + 5*l + 22*l - 7*l - 2*l.\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58777187.3 rounded to the nearest 10000?\nAnswer: -58780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 12) to base 2.\nAnswer: -1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Suppose -u + 19 = 3*s, 3*u = -4*s + 11 + o. What is the highest common factor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7237.\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*x**5 + 2*x**3 - x**2 + 2*x + 124 wrt x.\nAnswer: -2560*x**3 + 12*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1)*a)**(-6\/19)\/(a*(a\/a**(-2))\/a*a*a*a)**(-6\/29) assuming a is positive.\nAnswer: a**(162\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 0*k + 0*k)*(k - 3*k - 3*k) - 45*k**2 - k**2 - 8*k**2 + 0*k**2 + 5*k**2 - 4*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - -3*(-1)\/6. Let w = -0.4 + 0.2. Let p = -0.2 - w. What is the nearest to p in t, 1\/4, 4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232222212 - 0?\nAnswer: 1232222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/23 + 28\/207. Let f = -2.84 + 2. Let s = f - -0.74. Which is the fourth biggest value? (a) -3 (b) s (c) u (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) -3 (c) 0.22103 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -697, -4, -2 in descending order.\nAnswer: -2, -3, -4, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 19. Let g = -23 + r. Solve -5*a = -g + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let l(x) = 11*x**2 + 350*x - 350*x. Determine l(f(r)).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -26. Let n = -20 - -6. Calculate the common denominator of ((-24)\/g)\/(2\/7) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(18))**2) + 4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itst when four letters picked without replacement from sittsisss?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 36. Let h = 0 + c. Suppose -55 = -5*n + x, n - x - 12 = 3. Calculate the remainder when h is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**9\/2160 - 11*x**8\/2100 + x**7\/56 - x**6\/100 + 7*x**3\/3 + 8*x. Let o(w) be the second derivative of d(w). Factor o(b).\nAnswer: b**2*(b - 3)**2*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12102 - 6054 - 6048 - 3927*l as x*l + z and give x.\nAnswer: -3927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 68*q = 270 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37db (base 16) to base 7.\nAnswer: 56455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*x + 8 = 0, 35800*t = 35799*t - 4*x + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:07 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - b + 2)*(b + 1 - 1) - 3 + 3 - 2*b**2 + (-b + 2*b + 4*b)*(-6*b + 96 - 96) to the form g + t*b + p*b**2 and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 16 in decreasing order.\nAnswer: 16, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50 (b) 4 (c) -4\/3 (d) -1\/6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5964?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303145*f**2 - 38245*f**2 - 54329*f**2.\nAnswer: -395719*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.4, 0.5, -1\/30, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 - 2*i - 3. Let y be ((-9)\/6)\/(1\/2). Let a = -1689 - -1694. Calculate the remainder when m(y) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4512, -9041, -13606, -18219, -22892, -27637?\n\"Answer: -2*c**3 - 6*c**2 - 4497*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3605015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*c + 58 + 9*c**4 - 17 + c**4 + 263*c wrt c.\nAnswer: 40*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - b)*(b - 3*b + 12*b) - 1430*b + 1430*b + 2 + 910*b**2 - 2.\nAnswer: 930*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.82 + -1.43. Let h = b - -1.25. Sort -2\/3, h, 0.06.\nAnswer: h, -2\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 370 + -257. Let m = u + -112.53. Let j = m + -0.07. Which is the second biggest value? (a) 3\/8 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3886991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 118 (base 10) to base 11\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by 17\nAnswer: -179\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 + 84*r**4 + 291*r**3 + 54*r**2 - 432*r = 0?\nAnswer: -24, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 9. Let b be h(-5). Suppose b*f = 2*f - 100. Let z be f\/(-9) + (-16)\/(-72). Solve 2*d - 5 = -4*u - 15, 3*u = z*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -14, -4 in descending order.\nAnswer: -2, -4, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -44*x. Let s(j) = 15*j. Let n(t) = -4*k(t) - 11*s(t). Let c(p) = -7*p**2. Calculate n(c(z)).\nAnswer: -77*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 183808 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23889070 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(7) + -3).\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 20 - 2. Let u(t) = 5*t + 23. Let c(w) = -14*w - 66. Let f(p) = -4*c(p) - 11*u(p). Calculate f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -80*h + 75*h. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126332, -252644, -378936, -505202, -631436, -757632?\n\"Answer: b**3 + 4*b**2 - 126331*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 50. Let f be (-42)\/9*54\/12. Let s = f - j. What is the least common multiple of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:51 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 480 = 4*k. Suppose 0 = -4*y - 0*y + k. Is 860\/y*(2 + -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32153, 129584, 292285, 520262, 813521?\n\"Answer: h**3 + 32629*h**2 - 463*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 7*g - 5. Let t be u(4). Suppose 30 = 5*x - t. Solve -2*w + 1 + 2 = -a, -3*a + 5*w - x = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410574 and 3198.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 21*k - 240 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*-1 + sqrt(190) + sqrt(190) + sqrt(190))\/(sqrt(90) - (-1*sqrt(90) + sqrt(90))) + 0.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1244 + -1244.000006126. Round a to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 13. Let v be p(4). Solve 2*n + 3*x = 17, -9 = -v*n - 0*x + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -86657*d. Let x(u) = -2*u. Determine w(x(j)).\nAnswer: 173314*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380*a + 5265 = -1185*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + m + 8 = 0, 6*y - 9*y - 3*m - 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-23\/2))\/p)\/p*p*p**0 assuming p is positive.\nAnswer: p**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 13*z**4\/2 + z**3 - 15*z**2\/2 - 3170*z + 7172. What is the derivative of v(b) wrt b?\nAnswer: 78*b**2 + 6*b - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*z - 14*z - 3744 = -293*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(36)\/sqrt(3) + -3) - (sqrt(12) - (sqrt(132) + sqrt(132)*-3)\/sqrt(11))*-5)*1)**2 + 4.\nAnswer: 432*sqrt(3) + 1813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9*o - 4. Let m be k(7). Let a be 4\/m*25\/10. Let g be 2 - (6 + -3 - a). Solve -5*y + 1 + 9 = g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/4 - 5*l**3 - 9*l**2\/2 - 7*l + 24. What are the prime factors of t(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1605 + -6521\/4. Calculate the common denominator of ((-2)\/(-6))\/((-44)\/(-276)) and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308757 is divided by 7527.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/127 or 39050?\nAnswer: 39050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1698a4 (base 11) to base 5.\nAnswer: 31340313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1536.223+-0.2\nAnswer: -1536.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*k**3 - 11 + (-k + k + k**2)*(k - 4*k + k) to the form m*k**2 + w*k + s*k**3 + z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50450 + 11?\nAnswer: -50435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -275 and 0.05.\nAnswer: -13.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 3*n = -90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 19 + 23 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e0 (base 16) to base 12.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-4480)\/(-64))\/(240\/30))\/(2\/(-16))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*g*y**2 + 9*a**2*g*y + a**2*y**2 + 7*a*g*y - 3*a*g + 10*g*y**2 wrt a?\nAnswer: 6*a*g*y**2 + 18*g*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h**2 - h**2 + 6 - h - 3*h - 9. Let u be i(-2). Which is the closest to 1\/2? (a) u (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abyfyadabyaybbbydyry. What is prob of sequence adba?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -611 + 579*z**2 - 581*z**2 + 104 to the form j*z**2 + i*z + x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3474 = j. Let g = -286 + j. Suppose 527 = 5*t - g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/22 and -77\/170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - 1265\/(-46))*(-1 + (-5 - -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*v - 23*v**2 + 7*v**2 + 872*v.\nAnswer: -16*v**2 + 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32841389 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427425*q**3 - 6211*q**2.\nAnswer: 2564550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 736, 1372, 2020, 2680, 3352, 4036?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w + 2. Let z(f) = -f - 1. Let h(k) = s(k) + 4*z(k). Let n be h(-5). Let u = 20 + -21. Which is the closest to 2\/3? (a) n (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 37454.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1058 + -1046 - (6 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.84 - -0.16. Let m = x - 27.82. Let t = 0.11 - m. Round t to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11*o + 75*o = 1185340. What are the prime factors of o?\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/5)\/(t\/t**(-2)) assuming t is positive.\nAnswer: t**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*b + 8*b + 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010000101000100 (base 2) in base 5?\nAnswer: 30103032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 9252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + -5 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 34*z - 1. Let a be g(-31). Suppose 5*o - 117 = -a. Let w(h) = -2*h**2 - 2*h + 5. Let m(y) = -3*y**2 - 3*y + 6. Determine o*w(t) - 4*m(t).\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 57, 1\/4, 26, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/240276588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 7*a**2 - 2*a**2 - 3*a - 2*a**2 + 3*a + (-4 + 4 - 2*a)*(15 - 3*a - 15) - 2*a**2 - a**2 + a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 5*j + 15, -7 = -2*f - 23*j + 20*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:24 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m**3*u - 6*m**3 + 82*m*u + 689715*u wrt m.\nAnswer: 36*m**2*u - 18*m**2 + 82*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 287*y. Let c(o) = -2*o**2. What is c(f(n))?\nAnswer: -164738*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/22635 and -34\/49797?\nAnswer: 248985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 199, -1, -16, -5 in descending order.\nAnswer: 199, 2, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -709088 divided by -1.\nAnswer: 709088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(1\/6). Suppose 19*w = 14*w + 5. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655325042?\nAnswer: 2, 47, 6971543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 288*j**2 + 1411*j - 1143. What is z(-283)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 2.96. Let f = 4.6 + -8.2. Let i = 4 + f. What is the third biggest value in 5, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/55 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.570969 to three dps.\nAnswer: 0.571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 799 - 798.627. Let g = q - -0.027. Which is the second smallest value? (a) 10 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*-0.03016\nAnswer: 0.0063336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-2)\/24*(-3)\/(-2)). Let a = 15 + c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 71. Let q(o) = -o**3 + 11*o**2 - o + 26. Let p be q(b). Suppose -p*u = 1 - 46. Solve -u = -3*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-126) + 2\/9. Let g = -0.05 - 2.95. Let v = g - -4. What is the smallest value in q, 3, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231944573.\nAnswer: 7, 31, 419, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**2. Suppose 4*q - 6 = 6*q. Let m be 4\/(-8) - -5*q\/(-6). Let d(i) = -i**2 + 4*i**m - 5*i**2. Give d(z(k)).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 14 = 13*n - 3*y, -5*y = -3*n - 28 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2 + -7)\/(-30)). Let d be 71*3\/z + 5\/(-10). Calculate the highest common factor of d and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3 - (1 - -1)). Let a(t) = t**3 - t**2 - t - 15. Let f be a(0). Are k and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 8*f + 34. Let s(v) = 9*v + 33. Give -3*o(t) + 2*s(t).\nAnswer: -3*t**2 - 6*t - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buuulvubmulvmbvuluu. Give prob of sequence vb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2567781098564 - 1\nAnswer: 2567781098563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(240) - (sqrt(240) - sqrt(240)*-1))\/sqrt(3) - (-5 + sqrt(10)\/sqrt(2) + sqrt(5) + -1*sqrt(5) + -1))**2.\nAnswer: -60*sqrt(5) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 760718764 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46)\/6)\/(3\/(-9)). Suppose 47 = -5*m - 3*o, -3*m + 3*o = 2*m + s. Let n = m + 11. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -96. Let w be (-1)\/(-4) - u\/(-68). Differentiate -4*j**4 + w - 27 + 9*j**4 - 27*j**4 with respect to j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7906061.\nAnswer: 1109, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-57)*6\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 39, -116, -269?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6041 or 6040?\nAnswer: 6041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.5145t in grams?\nAnswer: 330514500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5006088*d**2. Let a(h) = 4*h. What is u(a(g))?\nAnswer: -80097408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9035)\/390 - (-7)\/6. Let d = -2\/15 + 8\/15. Let i = -3.2 - -3. Which is the second biggest value? (a) i (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p**2 + 978*p*y - 5*y - 48 wrt p?\nAnswer: -8*p + 978*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 23 = 32. Let h be (25\/l)\/10*4. Suppose -9 = -h*t + 11. Calculate the lowest common multiple of t and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:00 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-30 + 29 - (1 + -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25292 and 5.\nAnswer: -25287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-30))\/((-8)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + m = 123 + 148, -4*d + 5*m + 211 = 0. Let f be 2\/(-9) - 150\/d. Suppose 3*q + 7 + 5 = 0. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 3. Let w = g + 9. Let y = -22\/7 - -96\/35. What is the closest to y in -1\/6, w, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:57 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d**2 + 7*d. Let i(t) = -6*t**2 + 4*t - 4. Let c(b) = -17*b**2 + 11*b - 11. Let q(h) = 4*c(h) - 11*i(h). Determine r(q(n)).\nAnswer: 60*n**4 - 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17968912 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1004803 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ryarrkakyrkrkrarkryr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*h - 784962 + 791793 for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 0. Suppose 0 = 40*j - 0*j - 160. Solve -j*h - v = -24, q = h - 5*h + 4*v + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/12942623 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l + 104\/3 - 2\/3*l**2.\nAnswer: -2*(l - 4)*(l + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6383 and 507?\nAnswer: 248937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 3. Let z be w(-4). Suppose -y = 2*c - 7, 0*y = -y + z*c - 13. Let s(x) be the first derivative of x**3\/3 + x**2\/2 + 1. Give s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 1\/2, 1, 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1060 = 4*n. What is n rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 4, 0 = -5*a + 5*l + 20. Suppose 5*z - y + 3*y = 42, -21 = -3*z + a*y. Let o = 38 - z. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -c - 3*y, 3*y + 115 = -4*c + 116 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 (base 4) in base 15?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.013 - 13.987. Let i = w + 21. Put 0.3, -2\/5, i in decreasing order.\nAnswer: i, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -58. Is 37 a factor of (-3152)\/(-40) + (2 - 18\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28676220 divided by 615?\nAnswer: 46628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = g - 310 - 519, g = -z + 211. What are the prime factors of z?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*h**5 - h**4 - 2*h**3 + 2753*h wrt h?\nAnswer: 480*h**3 - 12*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125471\/3 or -41824?\nAnswer: -41824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11\/214, -2\/15, 4\/3, 0, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 128*k - 152*k**4 + 3352*k**2 - 1276*k**3 - 4*k**5 + 1140*k + 12*k - 3200 = 0.\nAnswer: -20, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 6 - 18. Let a be (-36)\/(-14) - (-15)\/35. Solve 2*c + 8 = 0, a*q + c = -n*c - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-14)\/6 - 2). Suppose -16*n = -m*n - 435. What is the greatest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, u: 6, k: 2, c: 2, a: 1, n: 1}. Give prob of picking 1 k, 1 a, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121031112 - 101?\nAnswer: -121031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 497487*j**3 + 16*j**2 + 9*j - 11. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -3891263.\nAnswer: -3891263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67594999057932 plus 9?\nAnswer: 67594999057941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48864.34 rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, -19, -93, -195, -331?\n\"Answer: -z**3 - 5*z**2 - 30*z + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 758, 1139, 1518, 1895?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, 0, 17, 40?\n\"Answer: 3*c**2 + 2*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 2*v + 2*v + (225 - 225 + 42*v)*(1 + 4 - 4).\nAnswer: 41*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/257069 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65003923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 302 - 4528\/15. Let g(m) = 2*m + 3. Let c be g(-2). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**2\/2 + 20*x - 1. Let p = -101 - -96. What are the prime factors of d(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -37\/4*i**4 - 32 + 0*i**3 + 0*i - 2*i**2. What is the second derivative of q(m) wrt m?\nAnswer: -222*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 49086*p - 3051020.\nAnswer: 2*(p - 62)*(p + 24605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 6*r + 10*r + 0*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 43*y + 8*y)*(-4 + 2 - 1) + (-y - 1 + 1)*(0 - 2 + 0) - 5*y + 3*y + 3*y.\nAnswer: -117*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 599.1 - 627. Let i = j + 28. Let n = -0.3 - -1.3. Which is the closest to i? (a) -3 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = 3*s. Suppose s*q - 15 = 8*q. Let o be 31\/2 - 42\/28. Solve q*l - 10 - o = j, -5*l + 3*j + 32 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244551493*o**3 - 4*o**2 - 6*o + 462594 wrt o?\nAnswer: 1467308958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 56. Solve 3*m - 16 = 4*b, 0*m - m = -r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1467 divide 7133675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8131 + -40654\/5. Let o(n) be the first derivative of -2\/5*n - 2\/25*n**5 + 4\/15*n**3 + b*n**2 - 1\/5*n**4 - 7 + 1\/15*n**6. Factor o(z).\nAnswer: 2*(z - 1)**3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2287\/1540 - -17\/140. Calculate the common denominator of z and -99\/254.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**29*i*i\/i**(2\/3) assuming i is positive.\nAnswer: i**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*i**3 + 237*i**3 + 87 - 106*i**3 - 87.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10134 + -23101?\nAnswer: -12412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 287102251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3210443 - -300?\nAnswer: 3211243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 723833481.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/6*486\/864 and 151\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-16) + 1\/2. Let u be (22 - 10)*(-2)\/p. Suppose 5*r = -0*r - 10. Which is the third biggest value? (a) -4 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*a + 2*o - 9, 0 = -o + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.3 (c) -0.01 (d) 2 (e) -269\/3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6950300 rounded to the nearest ten thousand?\nAnswer: 6950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 74*c - 510 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405\/8 + -51. Sort 1, q, -1\/9 in increasing order.\nAnswer: q, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4938.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34541, -69102, -103655, -138194, -172713, -207206?\nAnswer: -241667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {p: 1, l: 3, x: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13081, -26323, -39565, -52807, -66049?\n\"Answer: -13242*b + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7696170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9846 and 5.\nAnswer: 49230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -116.1. Which is the smallest value? (a) g (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 490138 (c) -0.5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/355 - -107\/6390. Let j(t) be the second derivative of 1\/15*t**5 - 2*t - 1\/6*t**4 - 1\/6*t**2 + 0 + 2\/9*t**3 - i*t**6. Factor j(a).\nAnswer: -(a - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 - 11*x**2 - 18*x - 11. Let l(c) = 2*c**3 - 4*c**2 - 6*c - 4. Determine -11*l(r) + 4*t(r).\nAnswer: 2*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 100178961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) + 0)**2 - sqrt(99)\/(sqrt(36)\/sqrt(4) + sqrt(9)).\nAnswer: -sqrt(11)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*j + j + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 413303099 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 18*c + 75. Let x(l) = -10*l - 2. Let v be x(2). Let h = v - c. Let o(i) = i**3 + i. Let w(y) = -2*y**3 - y**2 - y. Calculate h*o(g) + 2*w(g).\nAnswer: -g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430939363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-15) + (-1)\/(-3). Is 57 + (2 - 5) + w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 9 + 1806*l + 30 - 2.\nAnswer: 1806*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.41 - -0.41. Let u = -6424.4 + 6424. What is the fourth biggest value in s, 4, u, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2139 less than -0.0688018?\nAnswer: -0.2827018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 3)\/(1*(-2)\/2). Let f be (39\/(-4) - 2\/8)\/c. Let q(z) = -z**3 - 11*z**2 - 10*z - 1. Let w be q(f). Put 1, w, -19, 4 in decreasing order.\nAnswer: 4, 1, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -310?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5431, 10864, 16297, 21730, 27163, 32596?\nAnswer: 38029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 - 28388*s**4 + 17*s**2 + 8574*s + 650.\nAnswer: -40*s**3 - 340656*s**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j - 4. Let s(p) = 4*p + 2 - 4*p + p. Let h be s(j). Solve -3*b - 10 + 1 = h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84*-0.13\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8319576 divided by -1\nAnswer: -8319576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z. Let m = 2 + -3. Let v(k) = -k + 4*k + 2*k - 6*k. Suppose -180*u + 108 = -171*u. Calculate m*w(r) + u*v(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 6. Let f(o) = 12*o + 18. Let t(y) = 6*f(y) + 17*l(y). Let a be t(7). Suppose -50 = -2*d + a. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*c + 44 = 125*c + 2*n, c - 54 = -2*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 153*c + 2 + 2*c**3 + 119*c - 196*c in the form d + l*c + b*c**3 + v*c**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1232, -1249, -1284, -1343, -1432, -1557, -1724, -1939?\n\"Answer: -d**3 - 3*d**2 - d - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*(10\/(-6))\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1098010 or 1098057?\nAnswer: 1098057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -44. Let z(l) = 20*l - 6. Suppose 0 = -2*d - 0*d - 3*b + 15, -18 = -5*d - b. Let m be z(d). Calculate the greatest common divisor of m and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -170.8.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 >= -48657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-156)\/520*(-10)\/4. Let t = -3 - -2.9. What is the closest to c in t, -4, -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188226b (base 13) in base 3?\nAnswer: -120002222201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1422 >= -1422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 390012 - -4?\nAnswer: 390016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let f be c(9). Suppose 0 = 4*g - f*g. Suppose -5*i + i + 88 = 2*t, g = 3*t + 5*i - 128. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(833) + 3 + sqrt(833))*-3 + -2 + sqrt(833) + 3 + (sqrt(833) + 0)*3 + -5)**2 + 5.\nAnswer: 7084*sqrt(17) + 403706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 + 32*l - 91. Calculate i(11).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 - 6*m + 3. Let u(a) be the second derivative of -a**3\/6 - 2*a. Let o(g) = -j(g) + 3*u(g). Calculate o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 5 (b) -0.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4122918334 to the nearest integer?\nAnswer: 64210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 24*u + 43. Factor i(y).\nAnswer: (y - 8)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65.6 - -0.6. Let g = 65.00000148 + y. What is g rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 27. What are the prime factors of (-48)\/p*(-14)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/216*10\/((-40)\/6) + (-34)\/36?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452061 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3 - (-265)\/90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)*z)\/z*z*z\/z**(3\/4)*(z\/(z*((z\/(z*z*z**(-1)*z*z))\/z)\/z)*z)**(-14))**(3\/17) assuming z is positive.\nAnswer: z**(-921\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/148)\/(-1*1\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y - 19. Let s be v(3). Suppose -2096 + 111 = -s*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/7)\/((-22)\/1034))\/(-42*12\/(-3528)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1279482762 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 44. Let r(x) = x - 7. Let t be r(6). Let p = t + -1. Which is the closest to q? (a) 6\/13 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -372, -576, -780, -984?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65640 - 50*b**2 - 65640 - b**2)*(0*b - b - b) to the form t*b**3 + g*b + v*b**2 + a and give t.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 12*f - 32. Let g = 30 + f. Suppose -4*o + 34 = -g. Solve 4*l + p + 2 = -2, -l - o = -3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4657329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 338*y**2 + 15960*y + 5. Determine r(380).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 68 = 14. What is the third derivative of -6 - 6*o**5 + v + 37*o**2 - 3 wrt o?\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t - 5. Suppose 11*k - 21 = 34. Let r(q) = -12*q + 6. Let v(n) = k*r(n) + 6*f(n). Calculate v(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 4*n + 3. Calculate p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*sqrt(180) + -5)**2 + 3.\nAnswer: 288*sqrt(5) + 2919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + 2*a)*(-1 - 2 + 4 + (-2 + 3 + 1)*(-1 + 2 - 2))*(4 - 2 + 10 + (1 + 3 - 3)*(1 - 1 + 1) + 6 - 2 - 2 - 1 + 1 - 1).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/35 - (-16)\/(-7). Sort -28, -5, 6, u in descending order.\nAnswer: 6, u, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1349 + 5435\/4. Suppose 2*b + 86 = -0*b. Calculate the common denominator of x and 3 + (1 - b\/(-11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 + 1944843*q + 9724140 = 0.\nAnswer: -648276, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -66*o**5\/5 + 16*o**4\/5 + 106*o**3\/5 - 16*o**2\/5 - 8*o = 0.\nAnswer: -1, -2\/3, 0, 10\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35.1531 litres?\nAnswer: 35153.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + i**2 - 8*i**2)*(-i + i + 2*i + (-1 + i + 1)*(0 + 0 - 2) + 1 - 1 - 2*i)*(11*i - 2*i - 2*i) as p*i**4 + a + b*i**2 + o*i + x*i**3 and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 390, 597, 802, 1005, 1206, 1405?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 54995.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let b(s) = -22*s. Determine 2*b(i) + 12*c(i).\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11825 is divided by 1678?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/573 + 376\/1719. Which is the second biggest value? (a) m (b) 0 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -139, -14, 293, 842, 1693, 2906?\nAnswer: 4541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -9, -2822, 2, -4 in ascending order.\nAnswer: -2822, -9, -4, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*s - 434*s - 10920 = 0 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138828 and 39737.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 - 22430*f**2 + 165535833*f - 402983575704 = 0.\nAnswer: 6627, 9176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqisiistiyyyuy. What is prob of picking 1 t and 1 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.2 - -3. Let m be ((-39)\/78)\/(2\/52*1). Sort c, 1\/4, m.\nAnswer: m, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 - (19 + (-4 - -6))) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 9*x - 4. Let s(y) = y**3 + 12*y**2 + 71*y + 304. Let f be s(-8). Let b(i) = 14*i**2 - 14*i - 6. Determine f*p(n) + 5*b(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-9))\/(2\/21 - 0). Suppose -3*p - 3*c = -o*p + 8011, c = -p + 2008. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 7. Let x be 10\/(-25) + (-1)\/l. What is the closest to x in 2\/3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1757\/4938 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3\/12 + 3*s**2\/2 + 9*s - 28. Factor z(o).\nAnswer: (o + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61598, -123105, -184520, -245843?\n\"Answer: 46*d**2 - 61645*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:46 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 14*r**2 + 12*r + 9. Let n be m(13). Let q be (-10 + 11)\/(1\/n). Put q, 2, -5 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -16, 0.1, -3, -8 in descending order.\nAnswer: 2\/15, 0.1, -3, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14558 - -1746901\/120. Let u = -13\/15 - v. What is the closest to -0.1 in u, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*s**2 - 61*s**2 - 12*s**5)*(5 - 2 + 4)*(-4 + 5 + 0).\nAnswer: -84*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250274020*z**3 - 300237*z**2 - 11 wrt z.\nAnswer: -1501644120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - v + 1 - 2*v - 1 + 1 + v - 2*v + 0*v + (1 + 0 + 0)*(2*v + 4 - 4) - 2*v - 1 + 1 + 48*v + 12 - 4 - 47*v in the form o*v + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588*p - 10 = -583*p. Let t be (-6 + 9)\/(p - -3). Solve u - 5 = t*c, u = -0*u + 2*c + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-23))\/(l**(-27)\/l) assuming l is positive.\nAnswer: l**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - 3401?\nAnswer: -4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*d = 336, 2*o + 188*d - 228 = 184*d. Calculate the highest common divisor of o and 1242.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2410)\/(-15) - (-4)\/12.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.921163 to two dps.\nAnswer: 221.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(360\/54)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 43 = -3*g - 2*y, -g + 2*y + 16 = 0. Calculate the remainder when 69 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s**3 - 5*s**2 + 81*s + 8. Let l(m) = -62*m**3 - 14*m**2 + 242*m + 23. Give 5*l(f) - 14*t(f).\nAnswer: -2*f**3 + 76*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x**3 + 8*x**2 + 2. Let l be u(2). Calculate the highest common divisor of 140 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 137695 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.49, 0.4, 110\/2817?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1176) - sqrt(1176))\/((sqrt(48)\/sqrt(2))\/sqrt(2))*3.\nAnswer: -105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77009284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*s = 56, -k + 4*s + 84 = 2*k. Suppose -34*t = -k*t - 24. Solve -t*g + 22 = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*-1*sqrt(77)*5)\/(-3*(sqrt(1331) + 1*sqrt(1331))) + 2).\nAnswer: -8 + 20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:14 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 182*q - 869550 = 19*q. What is the remainder when q is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62767 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1. Let m(q) = q**3 - 7*q**2 - q + 10. Let d be m(7). Suppose d*x = -6 - 0. Give l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 95*q**2 + 4 - 184*q**2 - 6 - 205*q**2 in the form n*q**2 + d + i*q and give n.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154412.\nAnswer: 2, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - f**2 + 0 - 1 + (64*f + 232*f - 34*f)*(-3*f + 2*f + 3*f) as j + p*f + y*f**2 and give y.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 4) + (2 - 0). Let q(h) = -68*h - 193. Does 79 divide q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -0.6. Sort -3\/2, u, 0.4 in decreasing order.\nAnswer: 0.4, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b + 1. What is g(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/45)\/(4\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*u + 2*u - 15552. Calculate the least common multiple of u and 22.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 42 = 5*u, -3*u + 13 = 2*v - 13. Suppose 990 = -u*y + 190. Let s = 101 + y. Let q(j) = -21*j**2 + j - 1. What is q(s)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 11001000111100101110?\nAnswer: 11001000111101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 12 + 7*d - 7*d - 18 + 18 - d + 0*d - d + (-1 + 0 - 1)*(-5*d + 3*d + 3*d) + d - 2*d + 3*d - 1 + d + 1 in the form p*d + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.86 + -2.868. Let i = 2.558 + -2.5. Let k = a - i. What is k rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 0, -4 in descending order.\nAnswer: 7, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + (-8)\/(-6). Let q = 0 + b. Suppose 0 = u + m - 8, 2*u - m + 18 = 5*u. Sort u, q, 4 in ascending order.\nAnswer: q, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f + 5*m, -f - 21*m + 4 = -20*m. Let y(b) be the second derivative of 0*b**f + 1\/18*b**4 - 3*b + 0 - 1\/3*b**2. Determine k so that y(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2077, 8306, 18687, 33220, 51905, 74742, 101731?\nAnswer: 132872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 54*s**2 + 49. Give a(-4).\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, 3, 1979478?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9897?\nAnswer: 3, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.7, 33, -2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/(-4)*11\/3 - (-88500)\/(-8496)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -64*g + 60. Let f(s) = 30*s - 27. Let h(r) = 13*f(r) + 6*l(r). Calculate h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2694 at most -2734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 47 = 2*v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -488 - 496 + 984 + 3*z**2 + 3*z**2. Let d(b) = -122*b**2 - 2*b. Calculate d(o(l)).\nAnswer: -4392*l**4 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5117*a + 849. Does 223 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Let m(g) = 4*g - 3 - 2*g + i + 0 - 5*g**2. Let k(o) = -6*o**2 + 3*o + 4. Let w(q) = -4*k(q) + 5*m(q). Factor w(v).\nAnswer: -(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v**2 + 3*v**2)*(-7*v + 12*v + 9*v + (8 - 4 + 2)*(-v + 2 - 2)*(1 + 4 - 2)).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s - 3*s)*(2*s - s + 0*s) - 6*s**2 + 4 - 4 in the form c + g*s + r*s**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7776, 7780, 7786, 7794?\nAnswer: 7804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 15*t - 23. Let r be f(4). Suppose -4*s = r*z - 5070, 94*z - 90*z - 2538 = -2*s. What are the prime factors of s?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 15) to base 11\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 18*h - 6. Let o(k) = 2*k**2 + 36*k + 11. Give 5*g(v) + 3*o(v).\nAnswer: v**2 + 18*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 24. Suppose 0 = -5*y - 8*h + 3*h, -3*h = -5*y + j. Let -1\/4*r - 1\/2 + 1\/2*r**y + 1\/4*r**3 = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(187) - sqrt(187))*2)\/(-2*sqrt(44)\/sqrt(4) - sqrt(132)\/(sqrt(12) + sqrt(36)\/sqrt(3))).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {w: 12, j: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 + 0)*(-4 - 2 + 4) + 5 + 10 - 51)*(-4*k**3 + 3*k**3 + 0*k**3).\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*o - 6. Is -6 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = -4*v - 3*d, -4*v + d = 12. Let n(u) = 2*u + 6. Let l(f) = -1. Determine v*l(c) - n(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(190))\/(sqrt(30)\/(1*sqrt(3)) + sqrt(10) - sqrt(10)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.082, 17.71 in decreasing order.\nAnswer: 17.71, 0.082, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**2 - 10*w**2 - 2*w**2 + (-3*w + 3*w + 2*w)*(-w + 3*w + 0*w) - 4*w**2 + 4*w**2 - 2*w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 57*x**2 + 24*x - 25. Let k be p(1). What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/160 and -55\/12?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/71, 24, 2, 1\/2, 2\/25, -0.3 in decreasing order.\nAnswer: 24, 2, 1\/2, 2\/25, 2\/71, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 5*n + 5. Let q(h) = -32*h - 29 + 33*h + 30. Give 5*q(b) - t(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/8715)\/(12\/8)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927786373484 less than -936?\nAnswer: -927786374420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 20*y**3 + 563 - 18*y**3.\nAnswer: 2*y**3 + 529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-132)\/(-9))\/(((-12)\/18)\/(-1)). Let h be 2*26*2 + (s - 26). Calculate the greatest common divisor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4503357237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -5?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose x + y = 2*y + 3, 0 = -g*y. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 595713 - 24814 = 73*i. Suppose 5*q + 20 = 55. Is ((i\/(-21))\/q)\/(2\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170356, 340710, 511064, 681418, 851772?\nAnswer: 1022126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**31*o)**(13\/6)\/(o\/(o\/o**(-2\/41)))**(-17) assuming o is positive.\nAnswer: o**(5795\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 334 + 4*g**2 - 2*g**2 + 98 - 94 + 52*g = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 5528*q**2 + 22028*q + 27560.\nAnswer: 4*(q - 1378)*(q - 5)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/15)\/(4\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide ((-115)\/(-8)*6)\/(93\/391840*20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 224.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86, 247, 476, 761, 1090, 1451, 1832, 2221?\n\"Answer: -2*a**3 + 46*a**2 + 37*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 203*f**3 - 9*f**2 - 67*f - 50. Give z(-1).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 865 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 2331 = -68*x - 31*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1582 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1056 + -131?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-1183)\/676*(-36)\/(-21)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 14*m = 9*m - 1165, -5*v = 4*m + 1170. Suppose 2*q + 3*n = q + 431, -866 = -2*q - 2*n. Let r = q + v. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from ooowwovoyowvwwoowwo?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 57 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17278.428 months to decades.\nAnswer: 143.9869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y - 1. Let b be 188\/(-20) + (-6)\/(-15). Let x be r(b). Is 0 + x*(0 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3))**14\/((o\/(o\/o**(-4\/3)))\/o)**(1\/2) assuming o is positive.\nAnswer: o**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5619637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 2*s**3 + s**3 + (s**2 + 3*s**2 - 2*s**2)*(-10*s + 25*s + 7*s).\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3520 by 2.\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 2, q: 5}. Give prob of picking 2 v and 1 q.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.052, 0.3, 3, 3\/7, -0.5 in increasing order.\nAnswer: -0.5, 0.052, 0.3, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5, -28*q = -5*g - 32*q + 759. Let z(t) = 151*t - g*t - 16*t**2. Let m(v) = -13*v. Give m(z(y)).\nAnswer: 208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 23*y**3 - 3 + 25*y**3 - 18*y.\nAnswer: 2*y**3 - 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186 (base 14) to base 5.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/3 - 1049*v**2\/3 + 9461*v\/3 - 2168 = 0 for v.\nAnswer: -271, 3\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -4, 600, -7 in decreasing order.\nAnswer: 600, 6, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1895*d**4 + 37*d**3 + d**2 - 1317637*d + 1?\nAnswer: -22740*d**2 + 222*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*n**4 + 114 + 34808*n**2 - 34808*n**2 wrt n.\nAnswer: -520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*f - 1074*f - 14 = 298 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.42 - -0.42. Let l = 28 + n. Put -0.05, l, 0.5 in descending order.\nAnswer: l, 0.5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + o - 1 = 0, 2*z - z + 5 = -3*o. Let q(g) = 51*g**3 + g**2 + 4*g - 4. Does 13 divide q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -4) + -28 + 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22181, -88830, -199917, -355448, -555429, -799866, -1088765, -1422132?\nAnswer: -1799973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1)**2 + (sqrt(19) - (sqrt(209)*2)\/sqrt(11))**2 + (sqrt(19) + -2)*-6 + -2.\nAnswer: -6*sqrt(19) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -11*j**3\/6 - j**2\/2 + 1946*j - 2. Let i(z) = 22*z**2. Determine i(a(w)).\nAnswer: 2662*w**2 + 484*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -18277 (c) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -1\/3*k**3 + 1\/2*k**2 + k - 2. What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 5*c - 3. Let n be z(-3). Is 230 + n\/2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-8)\/3))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 2\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3550508 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 87*f**2 + 630*f + 169. Let l be y(79). Solve -23 + 23 = -l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*a**2 - 3*a**3 + 298984*a - 298984*a.\nAnswer: -3*a**3 + 125*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.4 - 89. Let v = -3 - -6. Let q = v - 2.8. Which is the closest to q? (a) m (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8242483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 397 and -2\/22697 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 361 + 4*h - 183.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 28*w + 26*w - 470, -5*k - 796 = -3*w. Let h = k + 161. Solve -o + h = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 521740, 148, -4 in increasing order.\nAnswer: -4, 148, 521740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.7626 microseconds in seconds?\nAnswer: 0.0000857626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t + 111*t = 3*a + 32734, 5*t = 2*a + 81802. What is the remainder when t is divided by 202?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 46. Let s(l) = 10734*l - 460. What is -10*g(z) + s(z)?\nAnswer: 10744*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:50 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x - 20816 = -52*x. Let n = x - -1331. Let f = 0.46 - 0.06. Which is the second biggest value? (a) n (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (19 - (-21 - -52))) + 42\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1.4, -0.38 in ascending order.\nAnswer: -24, -0.38, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 26*y**2 - 24*y + 32. Let d be m(-25). Put 0, 2, d, -2 in descending order.\nAnswer: d, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/627*(-154)\/(-280))\/((-3)\/4*-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*3 + 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7 - 1. Suppose b - w*i - 1 = 0, 4*b - i + 5 = 20. Let q = b - -3. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*i**2 + 0)*(-94*i - 460 + 460) - i**3 + 4*i**3 - 4*i**3 in the form y*i**3 + r*i**2 + o*i + w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/720 + n**5\/120 - 7*n**4\/24 + 6*n**2. Let b(d) be the second derivative of a(d). Let y = 42 + -46. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 54*w**2 + 2*w - 1. Suppose 8 = 33*r - 58. What are the prime factors of g(r)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 1636.\nAnswer: -11\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*w = -3651 + 1194 - 689 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2\/20*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034130?\nAnswer: 2, 5, 7, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 404039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 42. Differentiate -w*u + 55*u - 26*u - 6 with respect to u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h + 2. Let s be b(-9). Solve -5 = s*r - 10*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/820 and -61\/124640?\nAnswer: 124640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 9. Let y(x) = 1225*x - 28. Give 6*q(r) - 2*y(r).\nAnswer: -2468*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 4*b**2 + 0*b**2 + 9*b**2 - 12*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjddddddjjddd. Give prob of sequence dddd.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 21742 (c) -0.5 (d) 0.5 (e) -5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*k = -11*k + 609. Solve 4*c - k*j = -20, -3 = -3*c - 4*j + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1204 divide 3674839168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-189)*12\/8)\/(5\/15)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387 is divided by 688?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(162\/(-14175)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/12*3)\/(1485\/396))\/((-36)\/(-60))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/(w**3\/w))\/(w\/w**(-1))**(4\/9) assuming w is positive.\nAnswer: w**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - r + 0)*(0*r - r - r) + 8892*r + 152*r**2 - 8892*r.\nAnswer: 154*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -24432?\nAnswer: -24432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 31*u + 5. Let a(l) = 7*l + 1. Let i(x) = -9*a(x) + 2*d(x). Let r(w) = -6*w + 15. Let j(y) = -5*i(y) + r(y). Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sppp. What is prob of sequence spp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*x + 53, 42*r + 51 + 49 = 12*x + 34*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233009.\nAnswer: 7, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.7121175 to 2 decimal places.\nAnswer: -49.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 687 + 687.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075*l**2 - 169*l**2 + 1249*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/9, -46, -2, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 + 283. Suppose r - 4*w = 6*r - y, -2*r = -w - 43. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t - 141*t**4 + 139*t**4 + 2*t + 3*t**3 - t + 227 to q*t + w*t**2 + r*t**4 + n + m*t**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1356 + -1353. Which is the nearest to -1\/2? (a) 1\/9 (b) 5 (c) r (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 + 0.22. Let g = 7.08 - w. What is the smallest value in g, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - -27)\/(-242) + (-103)\/(-44).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + 48?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x. Let b(v) = -5*v + 10. Let d(m) = m - 1. Let l = 24 - 25. Let h(r) = l*b(r) - 10*d(r). Give -3*f(w) - 5*h(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117.0077 - -117. What is c rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -5, 1, -4 in increasing order.\nAnswer: -5, -4, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8610 + 8610 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/59)*w)\/((w**18*w)\/w))\/(w**(-26))**(4\/15))**40 assuming w is positive.\nAnswer: w**(-71032\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.7. Let i = c - -5.6. Suppose 13998*k = 13993*k + 20. What is the nearest to -0.1 in k, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 27*v + 29. Let m be i(-1). Factor 1\/5*t**m + 0 + 2\/5*t.\nAnswer: t*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t - 493 = 24. Which is greater: -45 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852131605?\nAnswer: 5, 370426321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2538597046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147\/5 - -29. Let o = 26 - 26.2. Let d = -2.2 - o. Is d greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 4, g: 1, f: 1}. Give prob of picking 1 g and 3 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - 162. Suppose 381 = u*a - 335. Are a and 179 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**5 - 51*y**3 + 111*y**2 - 63*y. Let o(v) = -v**5 - 51*v**3 + 110*v**2 - 62*v. Let p(c) = 2*j(c) - 3*o(c). Determine i so that p(i) = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -4*u + 2*u, 3*j = 5*u - 9. Suppose 0 = -j*k - k + 471. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, x: 1, m: 1, z: 2, n: 1}. Give prob of picking 1 x and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 2 in decreasing order.\nAnswer: 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/204600 and -139\/1841400?\nAnswer: 1841400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75059, 75042, 75025?\n\"Answer: -17*a + 75076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1034*v**2 - 18*v**3 + 34*v**3 - 10*v**3 + 7*v**3 - 15*v**3 to the form x*v**3 + n*v**2 + w + t*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 5*f - 16. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2373633 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 221704135?\nAnswer: 44340827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -40*l + 57. Determine u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5413264.\nAnswer: 2, 193, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4 + 5. Let d be (9\/(-6) + k)*12. What is the common denominator of 163\/6 + d\/9 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-4*u - 5*u + 0*u)*(5*u**3 - 6*u**3 - u**3).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/34 in -2\/7, 1\/9, -331?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 6*s + 10. Let u(i) = i**2 + 4. Let d be u(0). Let p = d + -9. What are the prime factors of n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -15. Suppose q + t - 465 = 3*q, o*q + 2*t + 1158 = 0. What is the units digit of (2\/(-4))\/(4\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 883 = 6*u. What is the smallest common multiple of 108 and u?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*1*30\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 678? (a) 4 (b) 0.2 (c) -8 (d) -3 (e) 5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 52*d**2 - 111*d**2 - 16 + 56*d**2 to w*d + u*d**2 + f and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let q(v) = 2*v + 2. Let y be q(-1). Let u be (0 - y)*-2*7\/42. Which is the closest to -1? (a) t (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4497 * -0.08295.\nAnswer: 373.02615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 35*l - 42 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -3*h. Let x be 0\/2 + h - -5. Suppose -t + 0 = -9. What is the highest common divisor of x and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432410043 (base 5) to base 6.\nAnswer: 103244225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -734, -1445, -2134, -2801, -3446, -4069?\n\"Answer: 11*u**2 - 744*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let g(i) = -1497285*i. What is d(g(x))?\nAnswer: 2241862371225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*33\/((-7722)\/(-897)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 - 449*q**2 - 1852 + 451*q**2 + 632 + 570.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33422348383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -70. Suppose 3*y - 1 = h. Let f = y + -1. Solve -18 - 2 = f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(4\/(-16)). What is the biggest value in -0.3, l, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-8*10\/(-80).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27498?\nAnswer: 2, 3, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 6. Let p be w(5). What is the greatest common factor of p and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55637.72 kilometers to meters.\nAnswer: 55637720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let p = 2 - 0. Sort p, r, -5 in increasing order.\nAnswer: -5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 31. What is the units digit of (-3 - -7)*((-45)\/(-4) - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1246*n**2 + 2. Let t(f) = 3*f**2. Determine h(t(r)).\nAnswer: -11214*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s + 2*s + 560 - 44 + 24 + (2*s + 1 - 1)*(-4 + 0 + 5) - s - 3*s + 3*s - 2*s + 0*s + 3*s + 3*s - 5*s + s - 2*s + 2*s - 2*s - 8*s + 11*s + 0*s.\nAnswer: 9*s + 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12005 - -2?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/12 + 3*p**2\/2 + 4. Let d(g) be the second derivative of a(g). Let j(f) = 2*f. Give d(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 12. Is (-3)\/(-2)*(-6620)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/(-21) + (-22)\/(-154). What is the third smallest value in 4, 0.11, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70942.\nAnswer: 2, 79, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24)*(-2)\/1)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*o + 4, 5*o - 5 = -2*n + 5. Let j be 0 - (n - -1)*-1. Solve -2*x - j = -2*k - 5*x, -9 = 4*k - 5*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27080259.\nAnswer: 3, 2467, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2692*j**2 - 67*j + 229. Is x(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58194 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 86439*-19*8\/(-456)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1728322 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 2*b**2 + 6*b - 31. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*l + 23, -148*x = -145*x + l + 40. Which is the third biggest value? (a) x (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-8)*(17 - 13). Suppose 3*d - 6 = o*x, x + 2 = d - 0*d. Suppose -9*g + 10*g - 29 = x. Calculate the remainder when 55 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7 = 2*q, -18*c + 5*q = -23*c + 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30595 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -0.1, 9, -0.051?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:24 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z - 1, b - 4*z = -2. Suppose 3 = 5*m - 7. Find the third derivative of -d**2 + b*d**5 - m*d**2 - 2*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - u + 21 = 4*q, -2*u = -5*q + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 66*x**2 - 27*x + 2341. What is j(66)?\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*-19 - 1\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 + 2624*i + 614. Calculate r(239).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:28 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77132.945367 - 77133. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-39)*(-2250)\/8125?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2)\/(-1 - (-10)\/8). Solve -4*o + 2*o - y = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123359323 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 7, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743504?\nAnswer: 2, 3, 7, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 2, d: 1, x: 1, y: 5}. What is prob of picking 1 x and 2 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 6 = 0. Let k = v + -5. Let d be -3 + (k + -1)*-1. Solve 2*t - s = -5, -3*t - 2*t - s + 5 = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80528457 or 80528453?\nAnswer: 80528453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.03 (b) -5 (c) -1\/18 (d) -2\/29 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/13 + 742*t**3\/13 - 26*t**2 - 9646*t = 0.\nAnswer: -371, -13, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21 - (-32 + -25 + 68 - (-986)\/(-70)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*g + 105 = 0, 2*g + 102 = -5*i - 2*g. Let u be 45\/i*4\/(-5). Suppose 0 = -u*w + 6*w - p - 257, 0 = -p - 1. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 21. Let z = -1 - m. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264 + 51 - 76)*((1 - 4 + 2)*(-2 + 2*z + 2) - 5*z + 12*z - 4*z - 3 - z + 3 + (z - 4*z + z)*(3 - 1 - 3) + 2*z + 2*z - 2*z).\nAnswer: -1156*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 16) to base 2.\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 134\/(-88) - (-3)\/8 and -40\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 6120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/21 + 146*a**2\/7 + 21316*a\/7 + 307. Factor l(d).\nAnswer: (d + 146)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 26213?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 8*j - 10. Suppose 2*p + 1 = -q - 0, -5*p + 15 = 0. What is a(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39123 is divided by 13016.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*n**2 + 16*n**2 - 15*n**2)*(-5 + 5 + 2*n) + 0*n**3 + 3*n**3 - n**3 + 3*n**3 - n**3 + 14*n**2 - 5*n**2 to h*n + r*n**3 + b*n**2 + z and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 29*w**2 + 4*w**2 + 0*w**2 + 3*w**3.\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.00021 + 4. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*z**2 - 3769*z + 1 + 3769*z + 24*z**2 - 6*z**2.\nAnswer: 11*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:11 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35340 - 4?\nAnswer: 35333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -31.\nAnswer: -13\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:30 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*o**4 - 8768*o**3 + 159836*o**2 - 247912*o + 96832 = 0. What is o?\nAnswer: 2\/3, 1, 17, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -9 - 1. Let l = -0.9 + 1. Let r = 85 - 84. Which is the nearest to r? (a) l (b) t (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12983\/6 + 231755\/114. Let n = p + 131. Is 0 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**2 + 4*y + 10. Let k be j(0). Solve 2*x = -0*x - k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/12)\/(t**(-2\/3)*t))\/(((t*t\/t**(-6))\/t*t)\/t**(1\/2)))**(-2\/11) assuming t is positive.\nAnswer: t**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378712 divided by -8.\nAnswer: -47339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8402890?\nAnswer: 2, 5, 840289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.08 - 2.1. What is the nearest to -1\/4 in 3\/7, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (81\/(-80) + 1)\/(3\/(-18)) and -47\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 7*t - 1. Let x be -4*(-15)\/24*-2. Let j = 1 - x. Determine d(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(2\/(2\/1)). Let c be (-22)\/b*(-4 - -14). What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -904 and -104.48.\nAnswer: -1008.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, 1 a, and 1 k when four letters picked without replacement from lqkavkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -113.8548 * -0.06\nAnswer: 6.831288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25786.512 minutes in hours?\nAnswer: 429.7752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**2 - 14*w + 11. Let f be a(4). Let v = 125 + f. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*x**3\/2 + 95*x**2\/2 + 85*x + 20.\nAnswer: -5*(x - 4)*(x + 1)*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198.1 - 207. Let l = -9 - q. What is the third biggest value in l, -0.06, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzdzzddozddzdzdddz. Give prob of sequence zzdd.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*h + 20, 3*h = -f + 6*h - 5. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 - 5*h**2 - 68*h. Let w(s) = s - 1. Calculate g(t) - 2*w(t).\nAnswer: -t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55)\/(sqrt(10)\/sqrt(2)) + (sqrt(11) - sqrt(22)\/sqrt(2)*-6))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + x**2 - 5 - 18 + 22.\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)*t**(-2\/13)*t*t**(-8)*t**(4\/15) assuming t is positive.\nAnswer: t**(-426\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {j: 2, f: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a - 25. Calculate the remainder when 271 is divided by h(10).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 14246*v + 71240. Give w(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (2 + (66 - (3 + 21)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258232695 to the nearest integer?\nAnswer: 35472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -61\/2. Factor -1\/4 - 5\/4*h**4 - 5\/2*h**2 - 5\/4*h - 1\/4*h**5 - j*h**3.\nAnswer: -(h + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:22 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40154953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 times -94?\nAnswer: 4.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*h + 259, -93 = -h + 4*c + 59. Suppose 2*j - 9 = v, 4*j - j - 10 = -2*v. Suppose -r - i = -h, -j*i + 535 = 4*r - 7*i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31894 + -31898. Let g(x) = -x**3 + 14*x - 11. Give g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43384*u - 20154*u + 4*u**2 - 23228*u.\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)*-1*-1. Solve j = 3*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose 3*w - 6*w + 150 = r. Calculate the remainder when w is divided by -2 - (20 - 1)*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*v, 15*v - 9*v - 5*z + 12 - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38635793, -77271586, -115907379, -154543172, -193178965, -231814758?\n\"Answer: -38635793*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -805*d**3 - 5*d**2 - 9851*d + 15. Let x(a) = -806*a**3 - 6*a**2 - 9853*a + 20. Let r(t) = 4*g(t) - 3*x(t). Find the second derivative of r(p) wrt p.\nAnswer: -4812*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Suppose -b + 3*a + 4 = 0, 0 = 4*b - 3*b - 5*a - 2. Suppose 3*l + b = 16. Let o(t) = -6*t - 2 + l*t + t. Calculate -2*o(p) - 5*s(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -525.\nAnswer: -11025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**4\/24 + b**3 - 6*b**2. Calculate a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131709 at most as big as 131706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from wjgqwqhhjwhwhmw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 417 - 101. Let m = z - 14231\/55. Let p = -5\/11 + m. Which is the nearest to 5? (a) -0.4 (b) p (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*d + 4*d - 3*d + (-14 - 5*d + 14)*(-6 + 2 - 3).\nAnswer: 39*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1112426 - 2?\nAnswer: 1112424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 2*c + 24. Let a be v(8). Suppose -426 = -2*k - a. Let g = 336 - k. Calculate the greatest common divisor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018928098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 15*l**2 + 26*l - 12. Let i be j(-13). Let u be (0 - (-30)\/(-36))*i. Sort u, 2, -5.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 75. Let c = 11 - l. Suppose f + c = -3*q - 0, -28 = -4*f + 5*q. Solve 4*y + 17 = u, -9 = -f*u + 5*y + 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 13*a + 3. Give i(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let x(c) = -c + 1. Let n(q) = 6*q - 8. Let w(g) = z*x(g) + 2*n(g). Does 16 divide w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/24326 - 28850645\/72978. Let f = 396 + g. Which is greater: f or 0.136?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 262*t + 537. What are the prime factors of b(12)?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in 0.16, -3\/4, -0.05?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/153 and 11\/17811.\nAnswer: 302787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 10111001001?\nAnswer: 10111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = -33. Calculate the remainder when 7 is divided by c\/12 - (-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 1\/3*u**4 + 0*u + 2\/15*u**5 + 0 + 2*u**2 + 0*u**3 + 1\/60*u**6. Determine k, given that a(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 48 = 50. Suppose 0*t + r = 3*t + 5*p, 0 = -3*t + 3*p - 18. What is the units digit of (17*-4 - t)\/(10\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 3806.\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70829 - -12749269\/180. What is the common denominator of p and -57\/14?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) -239 (d) 0.2 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15873, 63522, 142943, 254136, 397101, 571838, 778347?\nAnswer: 1016628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*((-208)\/8 - (-18)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/29093160 + 19079940847\/126070360. Let r = 753\/5 - g. What is the common denominator of 56\/11 and r?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -82*g + 2733. What is n(53)?\nAnswer: -1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*q + 496 = 0, -6*z + 2*z = 2*q - 968. Let a = z - 185. Is a a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*o + 142*o = -116. Calculate the least common multiple of 6 and o.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide ((-1 + -23)\/(-6) - -315) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 1352*a + 472320. What is q(-288)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394782919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.037 + -1.963. Which is the third biggest value? (a) u (b) 0 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 8286344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 995636*o**2 + 383566*o - 1?\nAnswer: 1991272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*q + 7, 0*k - 3*k = 4*q - 5. Let w(m) be the second derivative of 2*m - 5\/6*m**3 + 7\/2*m**q - 1\/12*m**4 + 0. What is w(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.4 and -89.9.\nAnswer: 1024.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -4, -18, -34, -52, -72?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -35. Suppose 3*q = 15, -5*x = -8*q + s*q - 1120. Suppose -122 - x = -3*z. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j**13*j))*(j*j*j*j**(7\/2)*j*j)\/j)\/((j\/(j*j**(1\/18))*j)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(997\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 54*f**3 - 2*f**2 + 1. Let o be u(1). What is the remainder when (1 - -11)\/3 + o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1037)\/(-1281) + 1\/(-7))\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*o**2 - 381130*o + 36828 = 0.\nAnswer: -341, 54\/559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-638)\/(-29) - 36)*5*(-4)\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 2*u)*(-1448 + 2208 + 2751).\nAnswer: -3511*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37147.\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2494788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 820509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.1 - 18.1. Let t = 1.3 - -7.7. What is the biggest value in r, 2\/15, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 3*j**2. Let w(r) = -184*r**2 + 87*r**2 + 0 + 96*r**2 + r**3 + 0. What is s(m) + 3*w(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 405157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87619526?\nAnswer: 2, 19, 2305777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/90*3\/(-2). Let v = -16\/15 + w. Which is the second smallest value? (a) v (b) -4\/3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8865561 to the nearest integer?\nAnswer: 2978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13852?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 7. Let s be i(6). Let m(c) = -308*c**2 - 2*c**3 + 0*c**3 - 3*c**3 - 5*c + 609*c**2 - 303*c**2. Let q(k) = k**3 + k**2. Determine s*m(r) - 4*q(r).\nAnswer: r**3 - 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 9*v - 5*v + 12, 0 = n - 2*v - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**2*x**3 + 822*v**2*x**2 - 2386*v*x - 5*x**3 wrt v.\nAnswer: -6*x**3 + 1644*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 - 2. Let u(d) = 5*d**3 + 17*d**2 + d + 9. Give 2*u(q) + 9*w(q).\nAnswer: q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -6798?\nAnswer: 6797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32115 is divided by 2293?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2073*a - 1852. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -95b4712 + -3?\nAnswer: -95b4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x. Suppose 127 = 4*b + 63. Suppose 162*g = 154*g - b. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 8*d - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -121?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6290, -12581, -18872?\nAnswer: -25163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662441.6 rounded to the nearest ten thousand?\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 12. Let c = 1 - d. Solve -5*j = f - 14 - 6, -c*f - 30 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20 = 4*i, -24*i = -20*i + 2*n - 40 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 99*z**3 + 1 - 1.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/5, -5\/3, -0.2, 2\/5 in increasing order.\nAnswer: -5\/3, -0.4, -0.2, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*n - 614*n = 724*n + 41860 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -134620 rounded to the nearest 1000?\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/141, -3, 22014\/35 in increasing order.\nAnswer: -3, -4\/141, 22014\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 1. Let l be t(5). Let p(b) = -57*b + 51. Let o be p(4). Let s = o - -180. Solve l = 3*q + s*f, -3*q + 4*f = 6*f - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2 - -1)*3. What is the third derivative of 3*f**3 - 14*f**d + f**3 + 13*f**2 + 3*f**3 wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -45*z**3 + 13*z**2 + 9*z - 11. Let d(p) = -22*p**3 + 6*p**2 + 4*p - 5. Determine 13*d(y) - 6*m(y).\nAnswer: -16*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307761929 is divided by 2616.\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2544 - -6691. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onnnnononononocnc. What is prob of sequence oonc?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1111011100000110 (base 2) to base 13\nAnswer: 22a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4144114 (base 5) to base 4\nAnswer: 100300303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 2*f**3 - 3*f**2 + (-2 + 2 + 3*f)*(-7*f**2 - 2*f + 2*f).\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/420 and -59\/33?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1406 + 1407. Put 9.9, -1\/9, c in descending order.\nAnswer: 9.9, c, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2718023 at most as big as -2718023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/9, -0.1, 0, 74, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*j**3 - 4*b**2*j**2 - 10*b*j**3 + 22*j**3 wrt b.\nAnswer: 2*b*j**3 - 8*b*j**2 - 10*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*c + 22, -3*o - o = -5*c + 41. Let x(z) = -z**3 + 4*z**2 + 6*z - 3. Let w be x(c). What is the biggest value in -4, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-24)\/(y\/(y\/((y\/(y\/(y\/(y\/(y\/y**(5\/2))*y*y*y))))\/y))))**18)**6 assuming y is positive.\nAnswer: y**(-1998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1796*f - 487158 = -3175*f for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - 0.455. Let f = 3.045 + i. Which is the second biggest value? (a) f (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343 + -201. What are the prime factors of t?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/282 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 4. Suppose 3*c - j*c - 79 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1466 + 1466.5. What is the biggest value in c, -0.2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 3 - 2*x + 5*x - x.\nAnswer: 8*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l. Let c(n) = -145*n**2 + 22*n + 4437. Let z(d) = c(d) - 2*q(d). Differentiate z(o) wrt o.\nAnswer: -286*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 11, v: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 2*f - 2*n + 15, -4*f + 5*n = 29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -43 (b) -1\/4 (c) -0.197 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 + -0.24. Let l = -186 - -2599\/14. Is l greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {x: 8, n: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -9, -23, -53, -105, -185?\n\"Answer: -g**3 + g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23730131613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 2254?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 3*y + 3. Calculate p(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*l**3 - 56*l + 1?\nAnswer: -870*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262800155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*q**3\/9 + 2075470*q**2\/3 - 1660384*q\/3 + 996232\/9.\nAnswer: 2*(q + 124529)*(5*q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnoekeqn. Give prob of sequence eq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 - 4*z + 12. Let t(x) = -2*x**3 - x + 4. Let n(r) = 2*h(r) - 7*t(r). Let m(y) = 5*y**3 - 2*y - 8. Let l(o) = -3*m(o) + 7*n(o). Give l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506521409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 3*a - 2*p + 12, -2*a + 2*p - 6 = 0. Let o(m) = 11*m + 9*m**2 + 18*m - 12*m**2 - 23*m. Let z(q) = -2*q**2 + 5*q. What is a*o(w) + 4*z(w)?\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 4. Let k(d) = -d - 1. Let m(n) = -5*k(n) - s(n). Let y(u) = u**3 + 4*u**2 + u - 2. Let o be y(-3). Let c = 4 - o. Determine m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/(2\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*d + 48 = 0, -4*d - 2 = t + 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1956*a + 27611. Give m(-15).\nAnswer: -1729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071 + 12*r**3 - 1071 - 1277*r**2 + 7*r**3 + 1277*r**2 - 22*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10666 + b**2 - 5231 + 2*b**3 - 5064 to the form z*b**3 + i*b**2 + a + w*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:43 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/5)\/a)\/(a\/a**(-2))*(a**(-2\/7))**(5\/2))**(22\/3) assuming a is positive.\nAnswer: a**(-3784\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 52504*w**2 - 523956*w - 8971344 = 0. What is w?\nAnswer: -9, 19, 13116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 617*x = -612*x + 11, 3*o = -2*x - 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 4. Let u(p) = 2*p**3 - 77*p**2 - 38*p - 36. Calculate the lowest common multiple of -5 + z + 1 + 5 and u(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**5*n + 108057*d**3*n**2 - 8*d*n**2 + 450436*n**2 wrt d.\nAnswer: -120*d**3*n + 648342*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xufi when four letters picked without replacement from {f: 1, d: 2, i: 2, u: 3, g: 2, x: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1345, 3, 0, 4, 40 in decreasing order.\nAnswer: 40, 4, 3, 0, -3, -4, -1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3375629 and 412757.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 9*u + 25. Let v(l) be the first derivative of -1\/4*l**4 - 3 + 0*l**2 - 4\/15*l**u + 0*l + 1\/9*l**3. Factor v(d).\nAnswer: -d**2*(d + 1)*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*k - 1264*k**3 - 201*k + 635*k - 209*k.\nAnswer: -1264*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -51 in descending order.\nAnswer: 3, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21779\/2410 - 208\/241. Let y be (2 - (-14)\/(-6))*3. Find the common denominator of 87\/180 - y\/(-3) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37961)\/2618)\/(2\/(-4))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-10)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 2 - 6*t**2 + 4*t - 1. Suppose 4*s + 18 = -2*a, 0 = -2*a - 0 - 6. Let r = s - -2. Calculate f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 15*t = 2907. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 4. Let s be h(-5). Let a be (1285\/(-130) + 10)*(-24)\/(-9). Is a at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (3 + -4 - (9 - (6 + 1 + 0))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(-2*j**3 - j**3 + 4*j**3 + (-j + 2*j + 0*j)*(-j**2 + j**2 + j**2) + 0*j**3 + 2*j**3 + 0*j**3).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {i: 4, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4 - -4)*(-309)\/206?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (3 + -7)) + 0. Put o, 6, -3 in decreasing order.\nAnswer: 6, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/12 - 7*o**3\/6 + 19*o**2 + 151*o - 1. Calculate r(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**7\/210 + i**3\/6 + i**2 - i. Let o(p) be the first derivative of n(p). Find the first derivative of o(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 - 274. Factor 17*z**2 + z + 8 - 22*z**2 + k - 6*z - 5*z.\nAnswer: -5*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 36, 58, 86, 120, 160?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2085\/50 - 9) - -31.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -6 - 4\/(-1). Let r be 207\/(p + -1) + -3. Let a(u) = r + 2*u**2 - 204. Let z(t) = -2*t**2. What is z(a(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - -5*90\/(-25). Let o be -1*25\/15*y. Suppose -o = -3*u - 16. Solve u*q + 4 - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ollolooo. What is prob of picking 1 o and 1 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 6*s - 4. Let m be v(-7). Let j(b) be the first derivative of -20*b - 2*b - 27*b**5 + 23*b**5 - m + 5. What is the derivative of j(d) wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + v + 1. Let o be l(0). Suppose -3 + o = -w. What is the units digit of 15*1*w\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853136.\nAnswer: 2, 3, 17, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) - 0\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 3*g**2 + 2*g + 4. Suppose -11*h - 22 = -0*h. Let n be u(h). Calculate the greatest common divisor of n and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*f + 2990 = 86*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/35 + d**6\/24 - 43*d**5\/30 - 83*d**2. Find the third derivative of h(i) wrt i.\nAnswer: -144*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/5 - 593932*f + 220472012890 = 0.\nAnswer: 742415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18086 and -0.35.\nAnswer: 6330.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/9 - 283*a**4\/9 - 478*a**3\/3 - 1732*a**2\/9 + 1144*a\/9 + 256 = 0. Calculate a.\nAnswer: -2, 1, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) -3 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6301\/15 (b) -2\/9 (c) -3 (d) -8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 3 + 6 + 2 - 15 in the form f + r*w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -112, -3, 3, 8.25, 0.1, -2\/3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**2 + 54*v**6 - 3*v**2 - 60*v**6 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309.9482 + -310. What is d rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251418525583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3\/4, 6\/47, -0.7, -1\/15 in decreasing order.\nAnswer: 6, 6\/47, -1\/15, -0.7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313817 is divided by 1053?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134141 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t**36*t)*t**(-6\/11)*t)**(2\/69))**(13\/7) assuming t is positive.\nAnswer: t**(-9880\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-16 - (-58 - -43)). Factor 0*f + c*f**3 + 0 + 2\/5*f**2 - 2\/5*f**4.\nAnswer: -2*f**2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 1582*n**3 + 3777*n**2 + 2828*n + 628 = 0 for n.\nAnswer: -314, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*r*w**4 - 7*r*w**2 + r + 3*w - 3705 wrt w.\nAnswer: -192*r*w**3 - 14*r*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1083*-0.11.\nAnswer: 0.011913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3981844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*c + 191, -3*c + 93 = -10*i + 11*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(-1*sqrt(121) - sqrt(121))*-4)\/((sqrt(110)*2)\/sqrt(10)*-5).\nAnswer: -4 + 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16 - -2)\/3)\/(58 - (-69748)\/(-1204))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -404, -791, -1176, -1559, -1940?\n\"Answer: j**2 - 390*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -4, 24.\nAnswer: -13, -4, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/28 + (-22)\/4)*2\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8250.803mg?\nAnswer: 0.000008250803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705293028.\nAnswer: 2, 3, 11, 31, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.58 + -1.58. What is the biggest value in 5, -0.7, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 88*r**2 - 91*r + 3752. Is c(83) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.1 + 48.1. Let d = -2\/49 - 12\/49. Put b, -1\/2, d, 2\/15 in descending order.\nAnswer: 2\/15, d, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1385 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/105 - 2*s**6\/25 - 13*s**5\/50 - 2*s**4\/5 - 4*s**3\/15 + 4*s. Factor k(g).\nAnswer: -2*g*(g + 1)**2*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 3*a - 3. Let f(l) = 7*l**2 - l - 7. Let g(i) = 20*i**2 - 3*i - 20. Let y(s) = -17*f(s) + 6*g(s). What is -p(k) + 3*y(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26 + -26)\/(-2 - -1). Put -3, 249, 2, l in decreasing order.\nAnswer: 249, 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from vvznvvavvvavazvvzzzt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7965848mg in nanograms?\nAnswer: 796584.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*c = -2*c - 10, 0 = 3*h - 2*c + 2. Let t be (-147 - h)\/(1\/(-10)). Suppose 0*p + t = 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*r - 5*r - 26*r)*(3 - r - 3) as i + c*r**2 + y*r and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:24 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 164 - 1106 = -25*z. Solve 123*g - 8 = z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w. Let h(c) be the second derivative of c**3\/3 + 2*c - 50. Give h(a(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542640 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5091381 is divided by 295?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -1241\/9. Which is the nearest to -2\/7? (a) 0.051 (b) o (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 311*n**2 + 5564*n - 3786. Determine i(-328).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let x be (-1 + h)*(-20)\/(-8). Suppose -3*a**x - 4*a**2 + a**5 + a + 2 + 2*a**4 - 3*a + 4*a**3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5685*p**2. Let m(g) = 37*g. Give m(h(q)).\nAnswer: 210345*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*c - 55, 3*c + c = -3*u + 44. Let a be ((-34)\/51)\/((-1)\/78). Let q = 107 - a. What is the highest common divisor of q and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 67 - (35 + -10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krkk when four letters picked without replacement from {q: 1, k: 4, r: 1, d: 1, g: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748021 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + -223. Suppose -4*i + 112 = v, -10*v + 6*v - t*i = -508. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*k**2 + 350*k**2 - 1738*k**2 + 676*k**2.\nAnswer: -291*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + w + 2. Let o(d) = -d**3 - 10*d**2 + 10*d - 13. Let j(k) = -k**2 - 4*k + 10. Let f be j(-7). Let a be o(f). Calculate x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7*d. Suppose 0 = 3*x + f + 17, 3*f + 1 = -5*x - 30. Let q = 8 + x. Does 11 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 5*c**3 - 5*c + 0*c + 3*c + 2*c**2 + 1 in the form g*c**3 + u + h*c + o*c**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.783855029 to 2 decimal places.\nAnswer: 4.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -18*v**3 + 4*v**2 + 17*v - 50. Does 5 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17037 = -2*m - 2*a + 12473, 2*a + 73803 = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13) + 4 + (sqrt(1300) + 4)**2.\nAnswer: 81*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.425 - 26.682. Let k = -9.6596 - w. Let y = k - 1.6. Round y to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/10 + 564*u**2\/5 + 7994*u\/5 = 0.\nAnswer: -14, 0, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 346, 389, 460, 559, 686, 841?\n\"Answer: 14*p**2 + p + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/372 and 71\/3805188.\nAnswer: 3805188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005503602763 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)\/(sqrt(108) + sqrt(12)) - ((1*sqrt(77))\/sqrt(11) + 0 + sqrt(448) + sqrt(448)))**2.\nAnswer: 8575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, g: 1, r: 1, d: 2, p: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1239.01 - 1239. What is the closest to -1\/2 in p, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -15*m**2 + 44*m - 43. What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*(1*sqrt(320) + 3 + sqrt(320)))**2 - (-3 + (sqrt(320)*4*-3)**2)).\nAnswer: -576*sqrt(5) + 268728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/15 - 149*r**2\/5 - 22201*r\/5 - 1184. Let p(n) = 0. Calculate n.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1602*o + 7934*o - 1583*o - 1578*o - 1587*o - 1584*o + 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:27 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5332807 - -1060571. Suppose 4*g = -y + m - 433383, -y + 1489995 = g. What is g rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 15570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11a32 (base 11) to base 13\nAnswer: -7ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 21 - -14 - (-5 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2 + 1 + 5)*(-135*b + 139*b + 80*b)*(1 + 6 - 5).\nAnswer: 672*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (10 - (-1 + 9 - (22 + -13))) - 103?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*k = 21*k - 833 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Suppose -56*j - 157 = -142 + 97. Let c(y) = -18*y - 1. What is j*h(v) + c(v)?\nAnswer: -18*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 - 479*m**2 - 862*m + 464. Give d(-78).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75.2 + 62. Let w = 13.5 + g. Put -5, 3\/7, w, -2.4 in decreasing order.\nAnswer: 3\/7, w, -2.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p - 98. Calculate u(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:22 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 31 - 11. Suppose 0 = -2*w - 5*q + 31, -2*w + 15 = 2*q - 7. Calculate the smallest common multiple of w and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-42) - (-1445)\/30*5 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*y - 0*y - 5273, 3*u + 4*y = 3169. Suppose 0 = 3*l + 5*h - 655, -5*l + u = 3*h - 2*h. Suppose 5*p - l + 30 = 0. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218\/65 + 16\/5. Let z = -2\/9 + -1\/36. Which is the closest to -0.1? (a) -3 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*z**2 - 2 + 33*z**3 - z + 178*z**2 to the form s*z + v + t*z**2 + k*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58387, -57579, -56771, -55963, -55155, -54347?\n\"Answer: 808*f - 59195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*l + 7 = -6, 10 = 4*q - 2*l. Solve q*z + w = 3, z + 2 - 5 = -w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 4, 0.5, 124?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/2)\/(-3) - 39150\/(-300). Calculate the highest common divisor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/47*1*5*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.98 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3666)\/(-585) - 14\/(-10))\/(3\/(-18) + 0).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20\/6 + (-4)\/(-6) is divided by 1\/((-3)\/(-2) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 20. Suppose -4*o - d*w = -118, o + 3*w + 2*w = 22. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*x = -3*r + 6, 2*x = -4*r + 10. Suppose 0 = -r*j + 8*j. Solve j = -m + 5*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1033*q**3 - q**2 + 6563*q - 4?\nAnswer: 6198*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.2. Let r = -260 - -264. Which is the second smallest value? (a) -7 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-95 + -2)*-2*(-2413)\/(-38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 454, 467, 518, 631, 830, 1139?\n\"Answer: 4*s**3 - 5*s**2 + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 9*s**2 - 2*s + 1. Calculate h(8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773, -2065, -3875, -6209, -9073, -12473?\nAnswer: -16415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 425*h**2 + 127*h**5 - 425*h**2 + (1 - 3*h - 1)*(-3*h**3 + 3*h**3 - h**4) - 3*h + 2*h**5 + 3*h.\nAnswer: 132*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*w + 129 - 115, w + 43 = -4*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q**3 + 6924*q + 3*q**3 - 6926*q in the form n*q**2 + a*q + y + f*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/957 (b) 0.025 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -156*t**2 + 9*t + 3. Let j(m) = 316*m**2 - 16*m - 6. What is -4*j(a) - 7*y(a)?\nAnswer: -172*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334 + -305. Which is the fourth biggest value? (a) r (b) -5 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774030 rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*k, -k + 8 + 2 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1340\nAnswer: -1\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36451*c**2 - 31*c + 35 wrt c.\nAnswer: -72902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 8)*(1 + 2*g - 1) - 4*g + 2*g - g as y + m*g and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 429219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 357 - 1?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 9. Let b(g) = -g + 1. Give -a(p) + 4*b(p).\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*s + 21 = 0, w + 35 = -14*s + 9*s. Suppose 3*u = 2*o - 600, 2*u - 18 = -2*o + 562. Suppose -o = 7*v - w*v. Do -42 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-18))\/(1\/6). Suppose z*g = t + 20, -3*g + 31 = t + 1. What is the units digit of 16\/(-10)*g\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9713*s**3 + 147*s**2 + 7*s wrt s?\nAnswer: 58278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**4\/4 + 287*q**3\/4 + 2451*q**2\/4 + 1249*q\/4 - 455\/2 = 0?\nAnswer: -7, -1, 2\/5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2637, 2456, 2159, 1746, 1217, 572, -189?\n\"Answer: -58*a**2 - 7*a + 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/(-85) - 4)\/(256\/(-8704))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**0\/u)))**(6\/11)*((u*u**(-1))\/u)\/u**0)**16)**(-1\/5) assuming u is positive.\nAnswer: u**(272\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 + -189. Let n = x - 101. Which is smaller: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2251\/(-14) - (-4)\/(-14). Let u = 161 + h. Find the common denominator of u and 89\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 4:27 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(7) + sqrt(42)\/sqrt(6) + 1)*-5*3.\nAnswer: -600*sqrt(7) - 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*m**3 - 107*m**3 - 84*m**3.\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.9. Let u = -414.3 - -414.3. Let y = -0.2 + -0.3. What is the nearest to k in y, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 23*q. Let x(b) = b - 101*b**2 + 110*b**2 - b. Determine x(a(z)).\nAnswer: 4761*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -5\/48*m**5 + 0*m**2 + 0*m + 5\/8*m**4 + 1\/144*m**6 + 35 + 2\/3*m**3. Let i(v) be the third derivative of h(v). Factor i(d).\nAnswer: 5*(d - 3)*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9 = -21. Suppose 2*c + 40 = -v*c. Let h(g) = 9*g**2 - 8*g. Let j(u) = 6*u**2 - 5*u. Give c*h(l) + 8*j(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 6, 4, -5, -30 in descending order.\nAnswer: 8, 6, 4, -1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7489 is divided by 3551.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*h**2 + 0 - 7\/4*h**3 + 1\/4*h**5 + 9\/2*h - 3\/4*h**4.\nAnswer: h*(h - 3)**2*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/60 + 13*z**4\/24 - 2*z**3 - 12*z**2. Let w be r(9). Suppose -149 = -5*a - w. Solve -3*v - 2*v - a = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 15*k - 50. Calculate t(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 + 25 = 0. Suppose -i*b = -4*b - 20. What is the smallest common multiple of b and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*q - 94, 4*q - 192 = -v - 0*v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -25*c**4\/4 - c**2 - 2755. Let d(n) = -24*n**3 - 3*n. Determine 4*d(a) - 5*h(a).\nAnswer: 29*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + -2*sqrt(300)) - ((sqrt(300)*1 - sqrt(300))*4 + sqrt(300) + (sqrt(300) + 1 - sqrt(300)) + 4))*-3 + -4)**2.\nAnswer: -1200*sqrt(3) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + -48\nAnswer: -46.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4729 + -4724. Solve 110*s - m = 115*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*t**3 + 19598*t**2 + t - 406987.\nAnswer: -18*t**2 + 39196*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15209\/(-2))\/(-1) - (-4)\/(-8). Let f be (-28)\/14 + 2 + o. Suppose 83*c - f = 79*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*360\/(-540)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 100*j = -98*j - 7 + 3, -2*p + 2*j = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 408 + -405. Suppose 1 = -v - 2. Sort 7, d, v in decreasing order.\nAnswer: 7, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112777 bigger than 1112777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 4. Let i(t) = 16*t - 7. Let l(v) = -3*i(v) - 5*k(v). Let m(r) = -3*r. What is 2*l(u) - 9*m(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282775093 to the power of 1\/2, to the nearest integer?\nAnswer: 47778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471198?\nAnswer: 2, 3, 7, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let q(w) be the first derivative of 2*w**2 + 8*w - 14. Let g(j) = -q(j) + 3*z(j). What is g(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3729063.9 and -80?\nAnswer: 3728983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose m*k - k + 5 = 0. Differentiate k + 3*j**2 + 0 - 6 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:22 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-1854))\/(595\/510)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 - 4622*o + 51084 = 0.\nAnswer: -2322, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*g - 42 = 0, 49*g + 25 = 4*x + 46*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3322319*k**3 - 3*k**2 + 122576085*k?\nAnswer: 19933914*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -43*b - 671*b - 116 + 41 - 110 + 68*b. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:29 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*b**2 - 17*b**2 - 3 - 18*b**2)*(-26 + 26 + 9*b)*(-6 + 3 - 2).\nAnswer: -90*b**3 + 135*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11846501152 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 73\/(172\/56 + -3). Suppose 5*z - p = 3503. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + (-24)\/(-8). Suppose y*s = -s + 40. Solve -2*g = -2*a - s, -4*a - 2*g = 2*g + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/(-297) + 2773\/11 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*l - 18123 = -6*b - 18167, 196 - 52 = -2*b + 17*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 4*r - 14. Let k(w) = w**2 + 2*w - 7. Calculate 11*k(s) - 6*l(s).\nAnswer: -s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12031 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 417691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*l + 8. Suppose 2 - 7 = l*j. Let t(p) = -127*p - 2 + 1 + 4*p**3 - 126*p + 247*p - 5*p**2. Let g(n) = n**3 - n**2 - n. What is j*t(d) + 6*g(d)?\nAnswer: 2*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 7fe?\nAnswer: 7ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1683 = -3*p + 30, -5*p - 6835 = -4*j. What is the remainder when 6\/12 + j\/12 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 12. Let d = r + -7. Let y be 94\/18 - 16\/72. Solve -d*z + 3*z + 2*b = 2, z + y = -b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 12*z = -14*z + 12, 22 = 11*z. Suppose -2\/13*h**j - 12\/13*h - 16\/13 = 0. Calculate h.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 841343.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s**3)\/(s*s\/s**(-3)*s*(s\/s**(-3))\/s))\/(s*s**(6\/13)*s\/s**9)**(2\/119) assuming s is positive.\nAnswer: s**(-1264\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16946*u - 189 = -16919*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 406710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -23) + 712 + -629.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.55 - 0.09. Let c = s + -0.65. Let a = c + -0.01. Put 4, a, 3 in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(1573) + (sqrt(65) - (sqrt(65) + -1*sqrt(65)*2 + sqrt(65) + sqrt(65)))\/sqrt(5).\nAnswer: 1 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x - 18 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 37. Solve s + 8 = -c, 3*c - k*s = 1 + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.9 and 12.87611.\nAnswer: -50.216829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Suppose 3*p = -c*p + 9. Find the third derivative of 3*r**2 - 3*r**2 - 3*r**2 - p*r**6 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*m**2 + 3108*m - 49284 = 0. What is m?\nAnswer: 222\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**3 - 174 + 371 - 197.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -7, -6, -5, -4?\n\"Answer: u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -20.1. Let l = z + 0.8. Let i = -0.6 + l. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwd when four letters picked without replacement from dwjddawjwjkkdwjd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**(-8))**(3\/2) assuming r is positive.\nAnswer: r**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30299459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((14 - 8) + 5) - -54 - -11?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:30 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -335287784 divided by -4\nAnswer: 83821946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let i = -0.16132 - -4.16132. Let u = -0.3 + 0.4. Which is the closest to j? (a) u (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = 2*p, -2 = 4*x - 0*x - p. Let w be 0 - (-1 + -2) - x. Suppose -u = w*u - 290000. Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/5 - 8394*t**2\/5 + 10062*t - 75438\/5 = 0?\nAnswer: 3, 4191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 less than 0.2860824?\nAnswer: 1012.2860824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 - 90\/(-54). Which is the smallest value? (a) k (b) 9\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s + 13. Find the first derivative of 13 + 21*x**2 + 5*x**s - 15 + 8 wrt x.\nAnswer: 52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*s, 5*s - 7*s - 4 = -w. Suppose 5*j - 25 = -3*c - 2*c, 0 = 2*j + 5*c - 13. Suppose 5*k = j*k. Solve k = 5*m - 3*x - 18, m + 1 = w*x - 6*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73490 and 6010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 3*u + 4*u + 2*u + 3*u - 4*u + u - 1 + 1 + (-2*u + 1 - 1)*(6 - 3 - 1) + 1 - 1 - 2*u)*(6 - 1 - 1) + 0*u - u + 8*u.\nAnswer: 51*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 35 = 43. Let s = 53 - g. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*l**3 + 4*l**2 - 3930.\nAnswer: 57*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 42 = -5*u + 4*t, -5*u + 2*t = 44. Let y(h) = -h**3 - 7*h**2 + 7*h - 8. Give y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*q**2 + 3*q - 3*q - 222*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 - 3*p**3\/2 + 5*p**2. Let f be b(4). Suppose -t + 32 = x, -2*t - f = -x + 16. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-6 + -1 + -1). Let r = w + -11. Does 9 divide (-4)\/6 + (-65)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d + 4. Calculate i(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 24041421?\nAnswer: 48082842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8944*y + 2449*y - 8449*y.\nAnswer: -14944*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n - 9. Let y be o(-6). Suppose -5*u = 5*x - 175, -3*x - y = -3*u + 2*x. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 105*r**2 - 6*r + 9. What are the prime factors of f(2)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 45.94. Let i = 0.04 + k. Suppose 0 = 4*s - 3*s + 5*r - 5, -s + 5*r - 5 = 0. Which is the second biggest value? (a) i (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189*u - 8.\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7 + 5*b + 2 - 7 - 1. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/108*6*(-1 + 6)\/(-5). What is the closest to 0.2 in 5, f, -1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*v + 5 = 25, -j = v + 6. Let s = 25 + j. Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(28) + -1) + -5*(sqrt(28)*2 - sqrt(28)).\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1288\/5796)\/((-2)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/21? (a) -3 (b) 2\/31 (c) -0.22 (d) 5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16796651 - -604578511\/36. Let y = z + 16807\/6. Calculate the common denominator of y and 49\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 24 + -10)\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/114 and -149\/180522.\nAnswer: 3429918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54950 is divided by 89.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532709520 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (-3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50257049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 11722.\nAnswer: 3\/11722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 19\/5.\nAnswer: -2, -1, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8579 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 9:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5197 - 0.0197. Sort -17, 3\/2, 4, w in increasing order.\nAnswer: -17, w, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 10000?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0507260235 to 6 decimal places.\nAnswer: -0.050726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*t + 12, 3 - 9 = 5*t + w. Let h(k) = 5*k**2 + 3*k + 1. Determine h(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966319 is divided by 33902.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78636?\nAnswer: 2, 3, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 12*w)*(1 - 1 + 2*w) - w**2 + 3*w**2 + 0*w**2 + 3*w**2 + 2*w**2 - 3*w**2.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 864 + -847.76. Let n = u - 16. Round n to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -l - 9, -l = -3*c - 5*l. Let j(m) = 55*m - 2753. Let k be j(50). Is c greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2*r - 10. What is the remainder when 188 is divided by l(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.18 + 3.180545. Round i to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639900696 and 1644?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 15. Let m be (1 + z)\/(-1 - -3). Factor 1 + 19*l**3 + 15*l**3 - 2*l - 37*l**3 + l - 5*l**m.\nAnswer: -(l + 1)**2*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -7 (b) 1\/18 (c) -5\/6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170010 and 0.16?\nAnswer: -27201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 6*d**3 + d.\nAnswer: 6*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*c + 1026 - 2054 = 2312 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/11 - (1 + -5). Solve -2*j = -0*j + f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 50, -0.06, -4\/5, -0.05?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2195 or 19759\/9?\nAnswer: 19759\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1312?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438112107\/2872 + 152546. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:49 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 2*z + 0*z)*(3 + 4 - 3) + 2289 - 2289 - 988*z to f*z + s and give f.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/(i**(-5)*i)*i))*i*i**(-5\/4)*i*i*i*i**3*i**(-2\/7)*i*i**4\/(i*i\/(i**2\/i))*i**(-1)\/i*i*i*i**(2\/17) assuming i is positive.\nAnswer: i**(7417\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -1. Suppose -i*y = -3*y, 3*k = -5*y. Suppose k = 6*v + 173 - 1325. 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: Let b(h) be the third derivative of 0 + 5\/204*h**4 + 9*h**2 + 4\/51*h**3 + 1\/510*h**5 + 0*h. Determine z, given that b(z) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.093 times 0.3?\nAnswer: -0.3279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -623902\nAnswer: -1\/311951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 2*d**2 - d**2. Let r(c) = 4*c + 5. Let x(j) = 42*j + 56. Let i(k) = 56*r(k) - 5*x(k). What is i(w(q))?\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 16*a - 24. Calculate w(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191567290?\nAnswer: 2, 5, 31, 617959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/100 - 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 10*u + 90 = -5*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81374.4175 rounded to the nearest one hundred?\nAnswer: 81400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140496, 561990, 1264484, 2247978, 3512472, 5057966, 6884460?\nAnswer: 8991954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 + 10*k - 4. Let f be q(5). Suppose 6*t + f = 201. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30112 (base 5) to base 6.\nAnswer: -12455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 344942, -0.5, -11, 2 in decreasing order.\nAnswer: 344942, 2, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527417 is divided by 404?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/4 - (1012\/(-414) - (-3)\/(-54)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8) + (-2)\/(-30)*495\/(-18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*o = -1246, 3*o - 156 = -i + 254. Let a = i + -259. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*q - 18. What is the hundreds digit of (10*-5)\/(q\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4695\/5408 or 1?\nAnswer: 4695\/5408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1784.7 from -1009.5.\nAnswer: 775.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 * 32863\nAnswer: 46994.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t**2 + 6*t - 1. Let p(g) = -71*g**2 + 47*g**2 + 130 + 23*g**2 - g - 130. Calculate -6*p(z) - q(z).\nAnswer: -10*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 737351 + -2?\nAnswer: 737348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - 3 - (-9 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxqqxu. Give prob of sequence uqu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 18070983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {s: 2, e: 3, y: 5, x: 1, c: 3, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -17467?\nAnswer: 17471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 943\/7 (c) -8 (d) 0.2 (e) 0.5 (f) -3\/2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 18*r**2 + 18*r + 36. Let z be t(-17). Suppose 3*w + 58 = w. Let u = z - w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88564 and 140.\nAnswer: 442820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**4 + 2*h**3 - 17*h + 2. Let l(w) = -w**4 - w**3 - 1. Let r(i) = -j(i) - 2*l(i). What is the second derivative of r(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*t - 71 = 0, 13*t + 45149 = y + 44803 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -8. Suppose -5*l - s*b - 3 - 6 = 0, 6 = -3*l - 2*b. Factor r**2 + 2 + r - 4*r + l*r.\nAnswer: (r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -16\/9 (b) 2 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4895781 or -4895745?\nAnswer: -4895745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 135 = 3*p, 103 = 2*p + c - 6*c. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*8\/(-50)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12497 - 12189. What is the highest common factor of y and 2695?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70903216019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2531 divided by 2531\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**3 + 35*f**2 + 2*f - 6. Let q(p) = 8*p**3 + 17*p**2 + p - 3. Give 13*q(s) - 6*u(s).\nAnswer: 2*s**3 + 11*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 421575 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j. Let a be (9\/5)\/((-15)\/(-100)). Let h(c) = -11*c**2 - 5*c - 5. Let m(i) = 27*i**2 + 12*i + 12. Let s(b) = a*h(b) + 5*m(b). Calculate w(s(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*m - 11390 = 25998 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k**3 + 1\/15*k**5 + 49*k**2 + 0*k + 0 + 2*k**4. Factor t(o).\nAnswer: 4*o*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))\/w**(2\/9)*(w*w\/(w\/w**2))\/w**(-7)*w**5*w\/(w*w\/((w*w**(-5))\/w*w))*w**(-3\/7)*w*w**(2\/3) assuming w is positive.\nAnswer: w**(820\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -0.01 in descending order.\nAnswer: 5, 3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:09 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 657, 2671, 6039, 10761, 16837?\n\"Answer: 677*a**2 - 17*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43914, -87826, -131738, -175650, -219562, -263474?\n\"Answer: -43912*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 2 i when four letters picked without replacement from {q: 1, f: 6, i: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*6\/18 - (-1 + -7). Calculate the greatest common factor of f and 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + 14 - (-6 + -16)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2225 - -5245?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1753, -1750, -1747, -1744, -1741?\n\"Answer: 3*q - 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -0.4 (b) 549 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/9))**(-35\/2)*(y\/y**(-2\/43))**47)**(-18\/11) assuming y is positive.\nAnswer: y**(-36565\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1590349.\nAnswer: 41, 79, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100112332012 (base 4) in base 12?\nAnswer: -152985a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {k: 7, e: 2, a: 1, p: 9}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 8 = 28*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 2. Let p(c) be the third derivative of -c**4\/24 + 5*c**3\/6 - 2*c**2. Let k = 3 - 1. Determine k*p(x) - 5*r(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.1. What is the nearest to 1 in k, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 2. Which is bigger: -39\/7 or n?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -1. Suppose 9 = -2*p + 5*p. Let 3*q - 16*q + p + 7*q + v*q**2 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573205 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - (-1 + 5\/3). Which is the second biggest value? (a) x (b) -2 (c) -0.4 (d) -2\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:38 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - 3*f**2 + 8*f**2)*(-2*f**2 + f - f) - f**4 - 2*f**4 + 4*f**4 + 2*f**4 - f**4 + 0*f**4 in the form h*f + n*f**3 + a*f**2 + x + w*f**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 3)*(0 + 129*b - 35*b + 0) in the form g*b + f and give g.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-80) - 16\/(-5). Suppose -z*t - 70 = -5*y, -7*y - 3*t + 56 = -3*y. Put -5, -1, y in ascending order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 339272, 680394, 1021518, 1362644?\n\"Answer: j**2 + 341119*j - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v = -62*v - 51*v + 208*v + 1064 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 432\/(-36)*190\/114*(-8)\/70\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1995 - -2000. Solve s*r + 15 = 5*c, -c - r + 9 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 + 102\/(-8). Let u = 8 + a. Let x(o) = o**3 + 4*o**2 - 4*o + 7. Let q be x(u). Solve 0*f + 5*i + 14 = 2*f, -i - q = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 52*u - 51. Let v be i(-1). Let r be 1\/4 - (-15)\/4. Solve -r*x = -v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33756158.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 9, -11, -49, -111?\n\"Answer: -g**3 - g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 = k, -k + 5*f = -4*k - 9. Suppose -k*p + 22 = 2*x, 2*x + x - 9 = p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*(-70074)\/687\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.4. Let p = -0.2 - h. Let f = 132.5 + -132.4. What is the closest to f in 0, -1\/6, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-718*h + 1 + 1195*h - 659*h)*(9 + 3 + 14) to t*h + q and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 0*h + 4 + 2*h**2 + 6*h - 6. Suppose 0 = -5*i + 3*i - 12. Calculate the remainder when c(i) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 2. What is the least common multiple of 16 and h(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**0)**27)**(2\/27))**(-40))**(-3\/19) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaaaaaaayaayaayaa. Give prob of picking 1 y and 3 a.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 27*k - 18. Let a be j(-4). Solve -a*r + 8*r - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298 - -171. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/20*50\/16*8. Let g(x) = 28*x + t*x + 25*x - 11 - 85*x + x**2. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*z**2 + 36*z**2 + 37*z**2 to the form c*z + x + g*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175000199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2806 - -1938.\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1634247*b**3 - 2920485*b**2.\nAnswer: -9805482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - w - 4. Let o be t(-2). Let m be (-2108)\/o - 16\/(-28). Let l be ((-6)\/5)\/(12\/m). Solve -4*z + 1 + l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d**2 + 3*d + 14. Let a be t(7). What is the nearest to a in -3, -1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14282323?\nAnswer: 11, 67, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3905, -7808, -11711, -15614, -19517?\n\"Answer: -3903*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 64782.21?\nAnswer: -323911.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11171179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 7*y**2 + 8*y + 10. What is the least common multiple of 20 and s(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16. Suppose x = 6*u - u - 10. Solve -u = -3*n + s, -3*n - n - 3*s = -7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43194366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-3.2431326.\nAnswer: -1.29725304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2. Let m(l) = 2*l**2 - 4*l + 0*l**2 + 9*l - l**2. Let k be m(-6). Let u(q) = -q + 5 - 4 + k + 2*q. Give 2*u(a) + 7*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4732517 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15440\/23160)\/(2\/192*2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 101403*p + 7520250.\nAnswer: -3*(p - 74)*(p + 33875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 15. Let p be q(13). Solve -12 = 5*t - p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105790, 423164, 952120, 1692658, 2644778, 3808480?\n\"Answer: 105791*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((224\/(-3))\/(-4))\/((-6)\/(-27)). Suppose -t = -v + 76. Calculate the greatest common divisor of v and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 + 82*q - 1488. Let k be u(30). Is -2626 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.051 + 0.341. Let q = 0.2899959 - r. What is q rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48432? (a) 0.4 (b) -5 (c) -10 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 + 139*j - 900. Calculate s(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, -2\/59, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*(-3)\/2. Suppose t*u - 6 = 3*u. Solve -7*a + 2 = -u*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-18)*6\/(-4). Let o = 0.22 + -0.09. Let b = o - 0.63. Put b, -2, g in ascending order.\nAnswer: -2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -385423, -770851, -1156281, -1541713, -1927147?\n\"Answer: -z**2 - 385425*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5005687303 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 8*g + 10.\nAnswer: -2*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32364502, 3, -8 in descending order.\nAnswer: 3, -8, -32364502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 5*q**2 - 7. Let j(k) = 5 - 3*k**3 + 3 + k**3 - 6*k**2. Let f = -24 + 30. Determine f*u(r) + 5*j(r).\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(3*h + 0*h + h)*(-h - 2*h + 2*h) + 2*h**2 - 3*h**2 + 2*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -5713759?\nAnswer: -5713759.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettqepetuttet. Give prob of sequence tt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83527 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 37.949. Let w = o + 0.0510027. What is w rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*r**2 - 573 + 103*r**2 - 344*r**2 + 106*r**2 + 573.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26243 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -15843 in descending order.\nAnswer: 17, 3, -15843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701186?\nAnswer: 2, 350593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4\/25, 3, -0.06, -5, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3520 divided by -176\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 22*v - 6*v**2 - v**4 + 18*v - 84*v + 20*v + 21*v as r*v**3 + x + f*v**4 + n*v + s*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, 16, -0.49, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 3*v - 18 = 0, -4*i + 14 = -2*v. Suppose -i*x - 10 = -5*x. Solve -x*k - 2*s + 12 = 0, s = 4*k - 2*s - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/12 - 10*b**4\/3 - 7*b**3\/6 - 6*b**2 + 586*b. Calculate o(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 10. Let p be t(-8). Suppose -c + h + 2 = -6, p*h + 22 = 3*c. Solve 0 = 2*f - c*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -127*a + 5. Let h be p(-1). Suppose -35*i = -13*i - h. Solve 2*f - i = -0*o + 2*o, 15 = 5*f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (-1 + sqrt(7))**2 + (sqrt(42)\/(sqrt(6) + sqrt(30)\/sqrt(5)) - sqrt(7))**2).\nAnswer: -12*sqrt(7) + 153\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5759, -11732, -18163, -25280, -33311, -42484, -53027, -65168?\nAnswer: -79135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 373\/16275 - 36\/175. Find the common denominator of 64\/465 and t.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d**2 + 69 - 138 + 68)*(-2 + 4 + 0)*(2 + 2*d - 2).\nAnswer: -8*d**3 + 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + h - h + (2*h + 0*h + 0*h)*(-4 - 2 + 5) - 9*h + 6*h - 7*h + 2*h + 1 - 1 + 27 + 30 - 57 + 572*h.\nAnswer: 559*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27350041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607*q + 623989444 - 623989444.\nAnswer: 1607*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -921*-130.\nAnswer: 119730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4) - 1) + (-9)\/(-2). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24141692829.000000699 + -24141693060. Let k = h + 231. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -1\/3, -907, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282*h + 226*h - 1 + 1 to o*h + x and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2\/3 + 126952*q\/3 + 253888\/3 = 0?\nAnswer: -31736, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117053496 divided by -259.\nAnswer: -451944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9650239 or 9650246?\nAnswer: 9650246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869 equal to 5737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/((-2)\/(-12)). Suppose 4 = -j*a + 14. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376 + -376.1. Let d be (-4)\/(-28) - (-1)\/(-7). Suppose d*n + 1 = n. Which is the closest to n? (a) -0.6 (b) w (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k + 94*k + 247 = 0. Solve -3*s - 4*g - 8 = k, 0 = 4*s + g + 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 1572*l**4 - 1590*l**4 + l**2 + (-4*l**3 - 21*l**3 - 7*l**3)*(-2*l - 4*l + 3*l).\nAnswer: 78*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 16*j**4 + 8*j**3 - 52*j**2 - 74*j - 28 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -215.7.\nAnswer: 64.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7139.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 + 10*f - 6. Let d(t) = t**3 + 15*t**2 + 2*t + 22. Let w be d(-15). Is j(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*v + 5 + 21, v - 2*k - 2 = 0. Let q = -5 - v. What is the remainder when 5 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.5945 microseconds to minutes.\nAnswer: 0.000008626575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:01 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -1.7.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 5. Suppose s + 0*s - v = 0. Suppose -s = 4*x - 13. Solve 3*j - x*j + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/176*-3*(-2)\/9*-1. What is the closest to 0.08 in 6, -0.1, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 7*g**2 + 3*g + 15. Let p(q) = -3*q**3 + 2*q**2 - q + 3. Let w(h) = -3*p(h) + v(h). Determine w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39906 divided by -18?\nAnswer: -2217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*f**3 + f**4 + f - 58*f**3 - 70*f**3 + 2*f**2 to the form n*f + v*f**4 + l + a*f**3 + s*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*m + o, -2*m + 130*o + 40 = 136*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + m = -14085, 2627 = -h + 3*m - 190. Is h equal to -2817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 + 500. Let b be 5345*5\/k - (-2)\/9. Calculate the highest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(2\/13))**(20\/9) assuming z is positive.\nAnswer: z**(80\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*3)\/(31 + 455\/(-14)). Let q = 0.24 - -0.26. Which is the second biggest value? (a) q (b) t (c) -0.091 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 4:48 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1896 (base 12) in base 14?\nAnswer: -113c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-64)*10*-10*(-16)\/(-600).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82)\/(-5) + 90\/150.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*i + 2*n + 5, 4*i + 2*n + 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/7, 0.323, -646\/313 in decreasing order.\nAnswer: 0.323, -4\/7, -2, -646\/313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 1, x: 1}. What is prob of sequence sa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 4*z + 5 - 3 - 3. Let v be r(-1). Suppose 4*u - 2*u = v, s = -u + 59. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 37, 76, 119, 160?\n\"Answer: -a**3 + 11*a**2 + 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -845032 (base 11) in base 15?\nAnswer: -1bb142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(10))**2*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3*x*y**2 + 29*u**3*y**2 + u**2*y**2 - 8*u**2 + 9*x*y**2 - 2*x*y wrt u.\nAnswer: 6*x*y**2 + 174*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17413*v - 1139303 = -42284 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2843*k**5 + 10*k**2 + 8 wrt k.\nAnswer: 170580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -121142?\nAnswer: 121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4479 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 302523 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 2*u - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 16 + 2 + -12 + 2 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)\/(1\/5). Suppose -36*z + 556 = 124. Let a be (-2)\/7*(-2 - z). Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2953, 5938, 8953, 11998, 15073?\n\"Answer: 15*t**2 + 2940*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**2 + 3. Let d(v) be the second derivative of -v**3\/6 + v. What is t(d(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277219.\nAnswer: 13, 482863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11877 is divided by 1485?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62670926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 - v - 1. Let g = 146169 + -146137. What is the least common multiple of g and a(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y + 4\/5*y**5 + 0*y**4 + 0*y**3 + 1 - 2*y**2. Find the second derivative of o(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213426000 rounded to the nearest one million?\nAnswer: -213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*w + 16 = 4*g - 7*g + 738*w, -2*g + 0*w - 8 = -0*g + 2*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -2683*g**4\/24 + 693*g**2 - 2*g - 8. Let r(o) = 2*o**2. What is b(r(j))?\nAnswer: -5366*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 42 + 42)*(-2 + 1 - 1) in the form y + k*t and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*p + 9276 = -62*p. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21a09 (base 12) to base 8\nAnswer: -127151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 20*m - 64. Let r be s(-11). Is (60\/8)\/(r\/(-112) - 4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*z + 4, b - 15 = 4*z - 3. Let i = -1430 + 1431. What is the third smallest value in i, -5, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230740 by 695.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -7 - (0 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*q + 222*q + 68 + 28 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 4*j - 3. Let w(d) = -d**2 + d - 1. Give -a(y) + 4*w(y).\nAnswer: -y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218, 217, 220, 233, 262, 313?\n\"Answer: q**3 - 4*q**2 + 4*q + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z*z**3*((z*z*z**(-2\/5))\/z)\/(z**(4\/5)*z*z*z*z) assuming z is positive.\nAnswer: z**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1694 + 847 - 210*n + 847 to p*n + x and give p.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 60. Solve 15*h - x*h = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 1302?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13\/c**(-5)*c\/(c**2*c)*c\/(c\/c**(3\/4))*c assuming c is positive.\nAnswer: c**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 545 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1001 + -680. Suppose h - v = 4*h. Let f = h + 176. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 5)*(-4)\/30. Let u = -9 - -8.8. Let c = 0.8 + u. What is the smallest value in k, c, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.12 (b) 2 (c) -0.02 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -29*q**4 - 3*q**2 + 3*q + 24. Let l(g) = 58*g**4 + 7*g**2 - 7*g - 49. Let b(r) = -7*d(r) - 3*l(r). What is the first derivative of b(o) wrt o?\nAnswer: 116*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kkuuukkkkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 112 = -5*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyccyyyycyyycci. Give prob of picking 3 y and 1 i.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 149, 139, 125, 107, 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Find the common denominator of (-4)\/(-6) + y\/9 and 87\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*x + 79*x = 577*x + 393*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/6*5*(-6 + 604\/100). Factor 2\/3*s**i - 2\/3*s - 4\/3.\nAnswer: 2*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 plus 2045091?\nAnswer: 2045308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -312528 divided by -2?\nAnswer: 156264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281518 rounded to the nearest 1000?\nAnswer: -1282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(30\/20*7\/18*(-136)\/(-119)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 82550?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 - 234. Let q(y) = -y**2 - 28*y - 33. Let h be q(-24). Calculate the highest common factor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5712*b**2 - 6237*b - 46. Let j(i) = i**2 - 3*i - 23. Let q(s) = 2*d(s) - 4*j(s). Find the second derivative of q(t) wrt t.\nAnswer: 22840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 - -0.19. Let b = -0.18 + q. What is the closest to 0.3 in 0.4, b, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 1, o: 2, i: 3, z: 6}. Give prob of sequence qd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -23 (b) -12 (c) -70 (d) 0.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7084)\/(-1001))\/((-12)\/78) + -17.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-330)\/50 - -7 - 2586\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 66. Solve -4*r + 9 + 5 = -k, 5*r + 3*k = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 42. Let a be (2 - -2)\/(2\/10). Solve 0 = 5*p - a, 0 = -k*b + 5*p - 22 + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.26 - 38.76. Let r = -36.7 - j. Which is the second biggest value? (a) 20 (b) r (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -22. Suppose -h*i = -10*i + 426. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352\/57 - -130\/19. Which is greater: -540 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 361695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400228989 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: Suppose p + p - m + 21 = 0, p - 3 = 5*m. Is 114\/4*(-8)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1047497 = 2*y, 0 = x + y - 92199 - 117292. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02253363724 rounded to 4 decimal places?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-1)\/(-39)). Let a be n\/(-10) + (-4)\/(-10). Suppose -l + a + 3 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002790005 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17500640 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 3, l: 1, t: 2, p: 1}. What is prob of picking 2 k and 1 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*j - 4*j + 18, 0 = -2*j - 4*m + 6. Suppose 5 - j = -n. Calculate the highest common divisor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*n - 55886 = 29474 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 20. Let p = 119 + -831\/7. What is the nearest to 2\/7 in 3, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -146*b**3 - 2*b**2 + 2*b + 74. Let g(x) = -2*x**3 - x**2 + x - 1. Let n(v) = 6*g(v) - 3*k(v). Find the first derivative of n(c) wrt c.\nAnswer: 1278*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 7, 4\/7, 0.1.\nAnswer: -4, 0.1, 0.5, 4\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15) - (-28)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274158 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: What is next in 46, 378, 1284, 3052, 5970, 10326, 16408?\nAnswer: 24504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6428938, -6428937, -6428934, -6428929, -6428922, -6428913?\nAnswer: -6428902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 48*p - 27*p + (2 - 2 + 1)*(p - 3*p + 4*p).\nAnswer: -68*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = -3*f, -17*h = f - 14*h + 4. Suppose 14*i + 6094 = 18*i - 2*b, 4*b = -f*i + 7598. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15130016 and 4576?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 307 = -3*v + 334 - 563, -46*k = 4*v + 46 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4579, -1\/3, -2\/25 in ascending order.\nAnswer: -1\/3, -2\/25, 4579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 53427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -7, 2\/9, -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1*4\/(-10))\/(1344\/(-4800))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 814 (b) -26 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(-2*(sqrt(50)\/sqrt(90) + 2*sqrt(5) + -4) + 4) + 1)**2.\nAnswer: -134960*sqrt(5)\/3 + 914729\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-3021))\/(-3*34\/(-51)).\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 + (3\/(-3) - 0). Suppose 3*b - 2*p - 12 = 0, -3*p + 6*p = -4*b + v. Put 2, 3, 0, b in decreasing order.\nAnswer: b, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**16))**(-35)\/((i**(-24)*i)\/i)**(-11) assuming i is positive.\nAnswer: i**296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/27945 and 1\/2700?\nAnswer: 558900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 381800.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.023 - 0.977. Which is the nearest to -0.02? (a) -0.2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g - 6. Let n be (1 + 0)\/(-1)*-10. Let b(k) = -2*k - 2. Let d(u) = n*b(u) - 3*l(u). What is the first derivative of d(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1654 and 800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2552664 + 4?\nAnswer: 2553001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -779, -6267, -21175, -50213, -98091, -169519?\n\"Answer: -785*l**3 + 7*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 334*t**5 + 3*t + 92 wrt t?\nAnswer: 6680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 2)**2*5*6*5.\nAnswer: 5400*sqrt(11) + 134250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a tonne in kilograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15 + (7 + 301)\/(-14). Sort -1, n, -2, 7 in decreasing order.\nAnswer: 7, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.180969 + 0.4.\nAnswer: 33.580969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.431 + -34.131. What is the third smallest value in j, -7, -20?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 11 (b) 0.3 (c) -2\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - z - 3. Let n be u(5). Suppose -3*d - 6 = -n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 70. Suppose -f = -4*y - y. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 1 + 39. Which is the second smallest value? (a) -2\/5 (b) -162 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -18, 2, 32 in descending order.\nAnswer: 32, 2, -0.01, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1698 and -0.153.\nAnswer: -259.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 27 = 4*l, -3*k + 26 = -3*l + 11. Solve 0 = -2*y - 4*p + 24, -10*p + 8*p = l*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23994638, 23994613, 23994588, 23994563, 23994538, 23994513?\nAnswer: 23994488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.1 - 16.78. Let y = c - 2.02. What is the nearest to -22 in -0.2, y, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/4 + 16*m**3\/3 + 15*m**2\/2 - 8*m + 3. Let d be p(-15). Find the common denominator of 9\/7 and (7\/d)\/(4\/(-20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -373 + -7?\nAnswer: -37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**7\/1260 + p**5\/40 + 5*p**4\/12 - 4*p. Let y(v) be the third derivative of z(v). Differentiate y(r) with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8160 + 8160 - 115*m.\nAnswer: -115*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17376 = 13*d + 11*d. Let v = d - 646. What is the greatest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/917 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*4 - ((-132)\/90 - 12\/90)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42445065 - -1?\nAnswer: 42445066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-94)\/(-4) + 1\/2. Suppose -j = -4*a + 3 + 15, 3*a - 11 = 2*j. Suppose a*d - 4 - 56 = 0. What is the greatest common factor of d and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -9 - 0. Let t = 446 - 452. Let j = t - i. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 145. Sort -6\/5, d, 5, -2.\nAnswer: d, -2, -6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 5504596.\nAnswer: 5504595.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6420286 micrograms?\nAnswer: 642.0286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c + 5. Suppose -17*u = 4*u - 336. Suppose 2*a + u - 4 = 0. Determine s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-46)*64\/(-1024)*8\/(-4)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2 - 7*w + 21. Let t(s) = 8*s**2 + 5*s - 21. Let j(p) = -6*t(p) - 7*z(p). Give j(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1542327 and 7845.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 96ab0a?\nAnswer: 96ab13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 5. Let y(r) be the second derivative of -r**3\/6 + 5*r**2\/2 - 65*r + 2. Give 2*m(u) + 3*y(u).\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -29. Let j = i + 29. Suppose 0 = -5*d + j*r - 7, -2*r - 3*r = -5. Which is the biggest value? (a) 5 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*l + 134*l + 18 = 0. Let k(s) be the first derivative of 0*s**2 + 0*s**4 + 2\/3*s**l + 0*s - 4 + 4\/5*s**5. Find the third derivative of k(u) wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 3*u + 84 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 less than 138834\/785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 6*i - 1. Suppose -2*y - 5*m = i, 2*m + 0*m = -2. Solve 2*u - y = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*y**3 + 2*y**3 + 327*y**3 + (4*y**2 - 3*y**2 + y**2)*(y + y - 4*y).\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c**3*c))\/((c*c**(1\/2)*c*c)\/(c**(2\/7)\/c*c))*(c**2)**(2\/47)\/(c**(-1)\/(c*c*c*c\/((c\/c**(3\/5))\/c*c)*c)) assuming c is positive.\nAnswer: c**(8129\/3290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 60*a**5 - 58887*a**2 - 15*a - 45*a**3 + 113*a**4 + 132*a**4 + 20 + 58622*a**2 = 0.\nAnswer: -4, -1, -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-4 + 1*sqrt(48) - sqrt(48)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -2, -0.3, -41, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -107. Sort l, -3, 3 in decreasing order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340 - 340 + 3*o**2 + (-2*o + 3 - 3)*(-2*o - 4*o + 5*o))*(o**2 + 2*o**2 - 2*o**2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 5. Let h be q(-10). Do 5 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 + k**5\/20 - k**4\/24 - k**3\/3 - 11*k**2. Calculate u(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-132)\/(-78))\/(-11) + (-2344502)\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 10.3. Let x = -1 - j. Let i = 0.1 + x. Which is the closest to -2? (a) 0.3 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/(-2)*2170\/(-3255).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 75 = 82*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 166. Which is the nearest to 0? (a) 18.25 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0497778 to 4 dps.\nAnswer: 0.0498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 80. Let k be ((-10)\/(-25))\/((-2)\/d). Let o = -5 - k. Solve o*i + 11 = -2*j - 3*j, -13 = j - 3*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 9*o**2 + o - 10. Calculate m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21535228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 493977 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9617794, 19235632, 28853470, 38471308?\nAnswer: 48089146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/108 - (-8269)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (1 - 7) + 0 + 6 + -2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 10*f**2 + 2*f + 116. Give t(10).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*g**2 + 99*g**2 - 36 + 103*g**6 + 34 wrt g.\nAnswer: 12360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -507*f**3 + 0*f**4 + f**4 + 273*f**3 + f**2 - 90 - 66 + 268*f**3 in the form l*f**4 + x*f**3 + o + y*f**2 + b*f and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 356972, 713833, 1070696, 1427561, 1784428?\n\"Answer: t**2 + 356858*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -27321263 divided by 27321263\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/16*84\/(-105).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**4 + 0 + 4*q**4 + q - 1 - q**2 - 3*q**3 to the form h*q + c*q**3 + y*q**4 + x*q**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 0. Let b = 11 - -102. Suppose 0*s - 5*s - 25 = d, 0 = -2*v + 3*s + b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-273 - 593*m + 544 - 273)*(32 - 52 + 29) + 6 + 3*m - 6 in the form a*m + b and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w - 17. Determine g(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -3\/4*t**3 - 15\/8*t**2 - 4 + 3\/2*t. Suppose v(c) = 0. Calculate c.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = r + 14, -11*s = 3*r - 6*s - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -207755 (base 10) to base 2\nAnswer: -110010101110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/15))**1\/(x*x\/x**(-1\/37))**43)**(4\/13) assuming x is positive.\nAnswer: x**(-191576\/7215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d*d)**(1\/5)\/(d**(-1\/3)\/(d*d**(-1\/3))) assuming d is positive.\nAnswer: d**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 4 (b) -0.153 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:49 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 247654, -1 in ascending order.\nAnswer: -35, -1, 247654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -59.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 564 = -534 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4682 - 2511. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2*d**5\/85 - 11*d**4\/34 + 82*d**3\/51 - 61*d**2\/17 + 60*d\/17 + 249. Suppose q(m) = 0. What is m?\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3123360 and -101\/36.\nAnswer: 3123360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2431485 divided by 38595\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86.4 - 87. Let o = r - 1.4. Which is the fourth smallest value? (a) -3 (b) 1 (c) o (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 41, -1\/4, -5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + m - 93 = 0, v + 2*m + 13 + 11 = 0. Let b be 18\/v - (-56)\/10. Suppose -4*l + s = l - 2703, 3*l - b*s - 1613 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/((d*d**2)\/d)*d)\/d)*d**(-6)*d**(2\/5)\/(d\/((d**(-1)*d)\/d)) assuming d is positive.\nAnswer: d**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673932927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8528013 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -z + 2581, -3*z + 3228 = 6*b - b. Suppose 9*j = 4*j + b. Is j a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*c - 5*g + 673, 0 = 4*g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 9*n**2 + 10*n - 12. Let g be 30\/25*(-20)\/(-3). Determine w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjjjzjjjj. Give prob of sequence jj.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9691)\/8 + (-201)\/(-536). What is r rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 - 1212166*z - 367336602889 = 0. What is z?\nAnswer: -606083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 3*g**2 + 3*g + 3. Let c be u(-3). Let l = c - -11. Suppose -2*i - 3 = -4*k + 23, -3*k - l*i = -39. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360321 + -640?\nAnswer: 356351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -72*f**2 + 7 - 3 + 65*f**2 - 3*f. Let t be d(-8). Round t to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:55 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 12:31 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwwa when four letters picked without replacement from {w: 7, h: 2, a: 6, n: 2, t: 1}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54, -179, -408, -753, -1226, -1839, -2604?\n\"Answer: -2*a**3 - 40*a**2 + 9*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 850 = 5*t, -2*t + 2*c + 694 = 2*t. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235932 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 340 (c) -27 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**7\/14 - d**5\/30 - 2*d**4\/3 - 73*d**2. Find the third derivative of h(c) wrt c.\nAnswer: 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (2 - 28) + (117 - 91)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394418 divided by -252.\nAnswer: -197209\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/121 - 719\/8470. Let q(f) be the second derivative of -1\/21*f**4 + 2\/7*f**2 + k*f**5 + f + 0 - 1\/21*f**3. Let q(u) = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/60 - 2*s**4\/3 + 2*s**3 - 16*s**2 + s. Let m be 27\/(-18)*34\/3. Determine q(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 381839953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1, -1268.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 - (1 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**2 - f**2 - f**2. Let l(p) be the second derivative of p**4\/12 - p**2\/2 + p. Let s(d) be the first derivative of l(d). Give u(s(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1647.5246 - -3936.6669. Let n = -2289 + p. Round n to 3 decimal places.\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-714 + 78*a**2 + 714)*(0 - 2*a**2 + 0).\nAnswer: -156*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, k: 2, s: 4, q: 2}. Give prob of sequence qkpk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 6, 1, -54, 0.06?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 814577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.2, -2\/3, -1\/10, -14, 68\/3, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m, 4*a + 10 = -2*m - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120.6 + 20.6. Let a = -85.6 - u. Round a to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4458 by -1486.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 190 - 390 + 2*h + 199 as p*h + u and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1112?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 + 18*w**2 + 41*w**2)*(3*w + 0*w - w).\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2574 - 265120\/103. Which is the second biggest value? (a) x (b) -2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14184, -30701, -47218, -63735, -80252?\nAnswer: -96769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 4. Let b be w(3). Let p be (-3)\/6*b*-2. Solve l = p*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose i*b + b = 2, q - b = -158. What is the tens digit of ((-11)\/(-33))\/((-2)\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183686 + 183685.793233. Round u to 3 decimal places.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 47069627.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679.4 + -781. Let y = a + 141. What is y rounded to zero decimal places?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-5)*-5*(-3)\/(-60).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.5. Let r = 2 + -2.3. Let j = r - g. Which is the closest to -0.2? (a) j (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:27 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = 19*z + 379. Let h(i) = -8*i - 5. Let m be (1 - -1)\/((-1)\/4). Let g(v) = -12*v - 8. Give m*h(d) + z*g(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 6 - 1 + 6)*(-4*n + n + n)*(2 - 13 + 5*n - 2*n).\nAnswer: -12*n**3 + 50*n**2 - 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 3 = 2*a - 2*m, m = 5*a - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u**4 + 16 - 15 - u**2 + 11*u + 13*u**4 as y*u**3 + f*u**2 + n*u**4 + h*u + q and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -16 + 27. What is the thousands digit of h*10\/(-2)*(0 - -233)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4004537725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 0.2. Let z = y - 0.74. Let o = 0.06 + z. Is -1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**2 + i + 7. What is the tens digit of n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 56 - 91 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -96. Suppose -1825 = s*n - 10383. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (920\/30)\/((-4)\/(-3)). Is x != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:50 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, -681, -3, -4, -2 in ascending order.\nAnswer: -681, -6, -4, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22450 and 200?\nAnswer: 89800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13606*o**4 - 21739*o**2?\nAnswer: 326544*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/60*v**5 + 0 + 0*v + 1\/2*v**3 - 1\/24*v**4 + v**2. Let x = 551772 - 551776. What is j(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-9)*(-3 + 81\/21). Suppose 3*i - 56 - 43 = -5*k, n*i = -2*k + 48. Calculate the least common multiple of 142 and k.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 8. Let w(n) = 3 - u*n**2 - 3. Let s(y) = -4*y**2. Let j(v) = 5*v**2. Let g(d) = 5*j(d) + 6*s(d). What is w(g(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*p**2 + 5*p**2 + 3*p**2)*(3 + 4 - 5) + 0*p**2 + 7*p**2 - p**2)*(38*p**3 - 5*p**3 - 4*p**3).\nAnswer: 290*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v - 2*n + 5, -4*v - 3*n + 27 = 0. Suppose -v*m = -0 - 9. What is the tens digit of 327\/12 - -6 - m\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(3\/(-249)). Let p = 28 - y. Suppose 0*q**3 + 0 - p*q**4 + 0*q + 1\/3*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17939351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*sqrt(1008)*1)**2*6.\nAnswer: 3483648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9364 - -19747. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 + -10. Suppose -5*d - 53 = v. Let s = d - -45. Solve a = 3*w + 4, s = -2*w - 4*a - a + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351.7 - 351.454. Which is greater: -2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 30 = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 556 = -8697*a + 8654*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-5)\/30)\/(1\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -25*c**2 - 9*c + 21. What is g(3)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-84)*14\/(-2). Let m(w) = -4*w**3 - w**2 + 1. Let f be m(-1). Differentiate f*a + c - 2*a + 0 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 - 436.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 110177?\nAnswer: -2\/110177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -57*x - 6. Let i(r) = 1. Calculate -f(z) - 3*i(z).\nAnswer: 57*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-33)\/(11\/((-11)\/(-3)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 101 - 172 + 82 + 5*s**2 to t + d*s**2 + h*s and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27690\/11 - -2526. Which is bigger: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 16 = 4*b, 3*b = -2*s + 4*b + 18. Let g be 4 + (3\/(-3)*1 - 1). Solve 5*y - g*x = -9, y - 5*x + 3 + s = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 + 0.4. Let x = -6 - s. Let h = -2.2 + 1.9. Which is the third smallest value? (a) x (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-4))\/h)*h**(-2))**22 assuming h is positive.\nAnswer: h**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 6 = 15*d, -d = -3*a + 13233. What are the prime factors of a?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*a. Let q be 26\/6*(22 - 4). Is ((-4)\/(-6))\/(a\/q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98.835 + -0.165. Let t = -81 - i. Which is the closest to -2\/9? (a) t (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 129357*n + 129354 = 0 for n.\nAnswer: -43118, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 136285473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.007 + -3.993. What is the third smallest value in t, 3, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t. Let r(i) = 2*i**2 - 2*i. Let c(o) = -3*d(o) + r(o). Let m = 4 - 3. Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4312 and 672.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15586 + -8796. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 416 + -2*(2\/(-4) + 0). Let d = l - 133. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t + 9. Let h be (-3)\/9 + (-3)\/(-9). Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 6*z**2 - 7 + 9*z**2 + 0*z + 0*z + 20 as b + h*z + n*z**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23359 and 6?\nAnswer: 140154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.829 - 0.129. Let l = n + -32. What is the nearest to 3 in 0.3, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562148 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: What is 1\/(1\/((-6)\/(-3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/20 - 2\/(-10). Solve -t - 9 = -0*t - 2*b, 0 = -5*t - h*b - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 + -1240?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - w. Let s be u(-8). Let z = s - 4. Find the second derivative of -4*r + 2*r**z + r + 5*r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88 - 250*w - 51*w - 432 - w + 0*w wrt w?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*o**2*v**2 + 153*o**2*v - 388*o**2 - 3218*v**3 + 748*v**2 + 9 wrt v.\nAnswer: -20*o**2 - 19308*v + 1496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 2:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*y = -0*y + 9, -y + 9 = 4*a. Suppose -2*q - d = -263, q = -a*q + 5*d + 533. Calculate the remainder when 25 is divided by (3\/4)\/(11\/q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 1871912.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6880 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -101012220010?\nAnswer: 101012220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/64*(-176)\/8*(-2)\/(-12)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0097 - 0.008639. What is p rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 2020*q\/3 + 510050\/3.\nAnswer: 2*(q - 505)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -26, -39, -52, -65?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 69*r - 229. Is w(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((167\/(-501))\/(1\/3))\/((-20)\/(-390))?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43\/3 + 7. Let x(i) = i**2 - 1. Let q be x(6). What is the common denominator of ((-2)\/9)\/((-10)\/q) and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + -36. Let q = p - -31. Sort 1, -0.6, q in descending order.\nAnswer: 1, q, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11*q - 35 = 0. What is the remainder when 104 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + d = 8, 2*d - 7 + 1 = 0. Calculate the remainder when t\/(-4 + 850\/95 - 5) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*r**4 + 388*r**3 + 32*r**2 + 858*r?\nAnswer: 1800*r + 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-6)\/(-54))*104\/(-338)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - 2) - (-176 - -180).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -35*f**4\/12 + f**3 + 13*f**2 - 2*f + 23. What is w(2)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -28*a. Let h(t) be the first derivative of -t**2 - 8. Calculate y(h(l)).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(-38\/5)\/((n*n**(-11)\/n)\/(n\/(n*n**(-2\/7)))))**5 assuming n is positive.\nAnswer: n**(653\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.850115 years?\nAnswer: 0.1850115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 390*t - 196*t - 229*t - 70, 2*y = -5*t - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 - 1)*(-q - 33*q + q)*(194 - 86 - 481*q - 108).\nAnswer: -31746*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let v(w) be the third derivative of -5*w**5\/12 + 25*w**2. What is k(v(m))?\nAnswer: -625*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 179500 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968205*b**2 + 968314*b**2 - 1936511*b**2 + 32*b**3.\nAnswer: 32*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/9 + 1912*i\/3 + 5735\/9.\nAnswer: (i + 1)*(i + 5735)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02246 + -47134.5.\nAnswer: -47134.47754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, k: 2}. What is prob of sequence ffff?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 + (-24)\/(-11)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 115 - 61 = 0. Let r(o) = 5*o - 25. Calculate r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + 1 + 9*j + 19*j to the form z + g*j and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8759699 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 8:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 + 283. Calculate the highest common divisor of i and 12138.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3486811 or 3486787?\nAnswer: 3486787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 + 2*d**2 - 5*d + 4. Let n be (16\/5)\/((-1)\/5). Let h = n - -25. Let y = -6 + 2. Let j(c) = 13*c**3 + 5*c**2 - 11*c + 9. Give h*k(t) + y*j(t).\nAnswer: 2*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let y = 2 + 0. Let f be 0 - 2\/(-1)*y. Solve q + 4*q = 4*z + 7, -16 = f*z + j*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11502 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*7.2.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:22 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 10, g: 6}. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5439, 5447, 5461, 5481?\nAnswer: 5507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i**2 + 4*i**3 + 27*i**2 - 2 - i + 28*i**2 - 81*i**2 in the form v + x*i**3 + c*i**2 + g*i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/112)\/(5*(-3)\/(-90)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1290 and 516.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(225) - 1*sqrt(225)) - sqrt(50)\/(1*sqrt(2)))\/(sqrt(320)*-1*3*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -46 + 2*c**2 - 85*c + 23*c + 42*c. Does 20 divide t(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -183. Find the first derivative of -15 + 79 - 9 + h*y wrt y.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438119653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -6*a + 90. Suppose -a*y = -94 - 374. Calculate the highest common factor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 343*z + 1534*z + 504*z as a + h*z and give h.\nAnswer: 2378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22562\/7 - 3231. Let x = -22704\/155 - -744\/5. Let a = x - -3691\/186. Find the common denominator of g and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6232 (b) 3 (c) -0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63)\/(-7) + (-6 - -2492) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 118373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.58 and 51.\nAnswer: -386.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3106 and 18?\nAnswer: 27954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1095600 and -17\/1320.\nAnswer: 1095600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + (sqrt(208) + -2 + (sqrt(208)*2 - sqrt(208)))**2)*3 + (5 + -3*(sqrt(13) + (sqrt(78)*-2 + sqrt(78))\/sqrt(6) - sqrt(13)))**2.\nAnswer: -54*sqrt(13) + 2650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 29 = 3*q + y, 4*q + 5*y = 37. Suppose 3*b = q*b - 20. Let t be b\/1*(-3)\/(-18). What is the second smallest value in 1, 3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4)*-2)\/(45\/(-45)). Are 1\/380 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7104*n + 227026 = 1632*n - 270926 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 270114.76 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 + 5*k - 4. Let q be b(3). Solve 10*j - q = 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 4*b = 180, -i = 4*b + 100. Let a = -36 - i. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2883, -48, -1, -5 in ascending order.\nAnswer: -2883, -48, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 50582092?\nAnswer: 252910460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, -4, -67, -8 in increasing order.\nAnswer: -67, -12, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 8229?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 72*j = 7*j + 1410 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 2)*7\/28. Let l(r) be the second derivative of z - 3\/20*r**5 + 0*r**3 + 6*r - 1\/2*r**2 + 0*r**4. Differentiate l(n) with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -360 (base 11) to base 8.\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(119) - -3*sqrt(119))\/sqrt(7) + 0).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 + (-3 - 4) + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77752099?\nAnswer: 6907, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 6*o + 7. Let f be v(-7). Suppose 2*s + 6 = f, -c = 4*c + 5*s + 10. Let d = -26518 - -26524. What is the closest to c in 5, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:51 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 26205850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9\/3356 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/144)\/((-1)\/(-6)) - -1*2. Solve -5*q - 2*n - 4 = s, 0 = q - 36*n + 38*n + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1330 and 2280?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -12. Let d(p) = p**3 + 4*p**2 - 9*p - 1. Let z be d(-6). Let i = -21 - z. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717574200 a multiple of 4656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w + 3. Let h(s) be the third derivative of -s**7\/2520 + 5*s**4\/4 + 208*s**2. Let i(z) be the second derivative of h(z). Determine i(p(t)).\nAnswer: -100*t**2 + 60*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.24 + -0.16. Let t = -0.6 + f. Which is the closest to 0? (a) t (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + sqrt(153)\/sqrt(9) - (sqrt(272)\/sqrt(8))\/sqrt(2))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7123280 and 15671216.\nAnswer: 78356080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12143369 is divided by 485734.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -87*o**2 - 3*o + 6. Let k be d(4). Suppose 2*a = -a + 6. Is (-3)\/a*k\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -7*x**3\/6 - 9*x**2\/2 - 7*x - 14. Let r(t) be the first derivative of k(t). What is the tens digit of r(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 + 784*n**2 + 101430*n - 47231100 = 0. Calculate n.\nAnswer: -238, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/1176*(15 - 8 - 3).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11)*2)**2 + -1*sqrt(396) + sqrt(11) + 1 + (-2*sqrt(121))\/sqrt(11) - 3*-2*sqrt(1584)*3*1.\nAnswer: -263 + 209*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)\/(((i\/(i\/(i\/(i*i**(8\/9)))))\/i)\/i))\/(i*i\/((i*i*i**(2\/25))\/i*i)*i*i\/(i\/(((i**(3\/2)*i*i)\/i)\/i*i))) assuming i is positive.\nAnswer: i**(-3163\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - y. Let j = -8 - -11. Suppose -2*u - u = j. Let w be i(u). Solve -w = 2*s - 4*s + p, -20 = 5*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3659 + 9852. Let r = p - 384051\/62. Calculate the common denominator of -23\/14 and r.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 0.03 (c) -1 (d) 2 (e) 1684 (f) -13\/11 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -1 - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 29288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/35 - (-3)\/((-672)\/184)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726*c**2 + 4 - 49*c**2 + 95*c**2 - 7*c**2.\nAnswer: 765*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g + 2*g)*(5*g + 0 + 7*g - 1) to the form t*g**2 + s + d*g and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let d(n) = -n**2 + 5*n + 2. Let l be d(4). Suppose l*g - 2*g - 20 = 0. Solve -g*m = 3*v - 2, p*v = 2*m - 6*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(500) + (-2 + sqrt(500) - sqrt(500)))*-2 - sqrt(500) - -5*(3 + sqrt(500)))**2.\nAnswer: 760*sqrt(5) + 2362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(27)*-1 - (sqrt(48))**2*-3.\nAnswer: -2*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -7*m - 127. Calculate the least common multiple of (2 - (-18 + 10))\/(m + -1) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1282.7175 from -0.244.\nAnswer: 1282.4735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2515.824 decades to centuries.\nAnswer: 251.5824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2232 - 13391\/6. Sort -1\/6, n, 2, 2\/21 in increasing order.\nAnswer: -1\/6, 2\/21, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*j + 5 = 1, 0 = -2*j - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 10*n**2 - 7*n + 4. What is the tens digit of m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4\/3*t**3 + 1 + 0*t + 0*t**2. Let p(b) = 0*b**2 + 0*b**2 + 6*b**2 - 7*b**2. Calculate p(u(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8369, 16398, 24381, 32294, 40113?\n\"Answer: -4*n**3 + n**2 + 8054*n + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2. Let u(g) = -3848802*g. Calculate a(u(x)).\nAnswer: 59253107340816*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 18*v - 31. Let h be o(-18). Let c = 32 + h. Sort c, -1\/4, 0.3 in decreasing order.\nAnswer: c, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-6\/7))*w**(-4\/15) assuming w is positive.\nAnswer: w**(62\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(5 + sqrt(704) + 0 + -1)*-5*-5)**2 + 3.\nAnswer: 362400*sqrt(11) + 4051207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11860 and 14\/50405.\nAnswer: 201620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {q: 7, c: 3, n: 6, f: 3}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 3*j**5\/20 - j**4\/4 - 5*j**3\/2 - 9*j**2\/2 - 5*j. Let r(k) = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 446*o - 171. Is y(4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and 89\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, l: 7}. What is prob of picking 2 c and 2 l?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxeeefxueuxfxxgffwew. What is prob of picking 1 x, 1 u, and 1 g?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017871 rounded to 4 decimal places?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -41. Let l be 76\/16 + i\/(-16). Suppose 0*z + 7 = z - 3*j, 2*z = 2*j + 6. What is the greatest common factor of z and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205 - -175. Suppose -3*r = -2*z - 748, -374 - i = -3*r + 5*z. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and 1586?\nAnswer: 697.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:11 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -2, -6, 18, -5, 2 in ascending order.\nAnswer: -6, -5, -2, 2, 18, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 25*o**2 - 27*o + 20. Let d be n(26). Let p be d - ((-30)\/6 - 6790001). Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 8*t = -16, -5*a + 4*t + 4 = 0. Suppose -a*c - 4*g + 24 = -c, g = 2*c - 5. What is the least common multiple of c and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + r - 3. Suppose 5*k + 3*q + 5 = -22, 5*k + 5*q + 35 = 0. Let o(n) = -3*n**2 + 2*n - 4. Calculate k*o(m) + 4*c(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 11*i = -11148. Suppose 5*b = -5*f + f + 776, -5*f = -4*b - i. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/3 (b) -1.5 (c) 1\/4 (d) 2\/5 (e) 0.3 (f) -155\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 4*f + 4. Suppose -2*k - 4 = 2*b - 3*b, -k - 5*b + 9 = 0. Let x(v) = -v + 1. Let d(n) = k*s(n) + 4*x(n). Let p(t) = -t. Give p(d(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 3955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99708 divided by -3?\nAnswer: 33236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 51807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461044?\nAnswer: 2, 3, 67, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/7 + 18*d**2\/7 - 32*d\/7 - 120\/7 = 0. What is d?\nAnswer: -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p + 2*p)*(p**2 + 0*p**2 - 2*p**2) - 2*p**2 + 2*p**2 - 2*p**3 + 36 - 23*p**3 - 25740*p**2 + 25740*p**2 as t*p + d*p**3 + v + c*p**2 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:28 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 7. Let k(m) be the second derivative of m**3 + 41*m**2\/2 - 2626*m. Calculate -34*g(w) - 6*k(w).\nAnswer: -2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(10*(-4)\/48)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 2732 = 265, 36 = -2*q + o + 113 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2 (c) -0.465 (d) 1 (e) 0.2 (f) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2407 is divided by 1895?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21323131003 (base 4) to base 2\nAnswer: -1001111011011101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e9 - 93?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 - s + 5. Let x be g(-3). Let z(w) = -w. Let b(t) = 4*t**3 - t**2 + 5*t + 1. What is x*b(q) - 5*z(q)?\nAnswer: -4*q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2345\/(-77) + -3 - (420\/(-154))\/(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 4. Let h(o) = 2*o**2 - 2. Let f be h(2). Calculate the highest common factor of f and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1804318 from -0.28523998.\nAnswer: -0.10480818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406357 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrxrrrrxrrr. Give prob of picking 2 x and 1 r.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13662921 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507*q - 436*q - 354432 = 0. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3430)\/4116)\/(5\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004591448415 rounded to 7 dps?\nAnswer: -0.0000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 - n - 1. Let p(h) = 4*h**3 + 2*h**2 + 2*h + 7. Let x(r) = -5*c(r) - p(r). Suppose 9*v - 25 = 38. What are the prime factors of x(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14033 - 17*k**2 + 38445 - 24412.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272 - -284. Solve 0 = -3*m + 2*l + l - 15, 3*m = 2*l - y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 9657*o + 96571. Give m(-10).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1778817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 4*n - 888, -2*d + 8 = 0. Let u = n - 223. Solve -2*o = 3*y - 19, -3*y + 0 = -u*o + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -3\/4, 3, -0.03, 0.05, -17, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptpp when four letters picked without replacement from ptpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 15. What is n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z**(-5))**(-36)*(z**(2\/11)\/((z**(-6)\/z)\/z*z))**9 assuming z is positive.\nAnswer: z**(4671\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52 - 49 - -1*2. Let h(v) = -v**2 + 14. Let l(r) = -r**2 + 7. What is s*l(d) - 3*h(d)?\nAnswer: -2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 + 5?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((92\/36)\/(133\/(-133)))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3338671 (base 9) in base 2?\nAnswer: -110110110110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 28 = 0. Let z be (90\/21)\/(2\/q). Suppose a + 5*x - 33 = -2*a, 0 = -4*a - 2*x + z. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -621775 by -56525.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2 - 0)*5. Suppose -u + 14 - 11 = 0. Let f be 2\/u + 50\/6. Solve -2*n - b = f, 0 = n + 4*n - c*b + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -10, -9, 91 in descending order.\nAnswer: 91, 10, -2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.49926*-92.9.\nAnswer: -46.381254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 129 = 3*m - 5*h, 5*m - 3*h + 275 = 0. Let d = m - -77. What are the prime factors of -3 + d + -2 - -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*y**3 + 41287*y**2 + 46*y - 113476158 with respect to y.\nAnswer: -102*y**2 + 82574*y + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 13793 - 14627. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.4. Let r = -0.6 - j. Which is the third biggest value? (a) 2\/9 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/6 - 209*z**3\/6 + 3461*z**2\/2 + 56389*z\/6 + 22898\/3 = 0.\nAnswer: -4, -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 12*w - 9. Let n(k) = -5*k + 50. Let a be n(11). Let x be i(a). Is 7 a factor of (20 + x)\/((-4)\/46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -128? (a) 0.5 (b) 3 (c) -3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 150*p + 5199. Let l be f(-54). Solve 0 = -5*x + 2*q - 29, 20*x - l*x + 3*q + 19 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92213 + -55890. Let n = t - 109323. Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 10*j + 2. Suppose 0 = 3*o - 2*z + 15, 9*o - 7*o + 5*z + 10 = 0. What is y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {q: 3, d: 7, y: 2, w: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507670 is divided by 1189.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 4 (c) -0.03 (d) -6\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 1. Let i(s) = -12*s**2 + 1. What is -b(j) - i(j)?\nAnswer: 11*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -91\/2 + 1\/4*g**2 - 19\/4*g = 0. What is g?\nAnswer: -7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -22. Let w be 9 - (2 - 0) - h. Suppose 2*u = -0*u + 10, 2*u - 160 = -w*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.5531 micrograms to milligrams.\nAnswer: 0.7125531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)*(10 + 1155\/(-120)) - (-330)\/16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7192529 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6204976 and 65.\nAnswer: 6205041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.003 and 1111?\nAnswer: 1110.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 23 = 103 + 28 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose 5*v - 3*v - 20 = c. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j - 54. What is the tens digit of m(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 0.2 (c) -4 (d) 48446\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = -4*w. Let i be 1\/(w\/(-3 - -2)). Suppose -5*d = -5*g - 5, 3*d - 4*g - i = -3. What is the least common multiple of 7 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-42)\/(-9) + 2)*(-6)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21*1\/(-1 - 0). Suppose 0*m + f - 6 = -m, -3*m - 4*f + a = 0. Solve 1 = m*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m. Let g be j(5). Suppose 4*a + 3*o - 4 = -g, -3*a = 2*o - 4. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 3*v - 17. Let x(u) = u - 1. Let c(l) = -s(l) + 6*x(l). Let n be c(6). Let f(y) = y**2 + 6*y + 2. Calculate f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 648*z**2 - 7235*z + 9313. Determine p(-659).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 4*c**2 + 3*c - 4. Let h(p) be the third derivative of -p**6\/20 + 11*p**5\/60 + p**4\/3 - 11*p**3\/6 + 10*p**2. What is 4*h(w) - 11*x(w)?\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.45. Let t = -6377.95003 + 6378. Let r = l + t. What is r rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.4 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 3 = -12*l. What is the nearest to -0.3 in 5, 2\/21, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 94. Let g(r) = -r**2 - r + 86. What is the tens digit of g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.89 + -77. Let i = -37 - -32. Which is the nearest to z? (a) -2\/7 (b) -2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -37 (b) 38594 (c) 0 (d) 2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -198, -187, -168, -141, -106?\n\"Answer: 4*i**2 - i - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - 21?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.7833851094 + -0.08.\nAnswer: -21.8633851094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 944020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*d**2 + 71*d**2 - d**3 - 1096*d - 3109*d to c*d**2 + u*d + i*d**3 + r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1945.6 - -815.9. Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2233 (base 4) to base 11.\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-64)*-4)\/((-14)\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18258, -36486, -54688, -72864, -91014, -109138, -127236?\n\"Answer: 13*u**2 - 18267*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3073.\nAnswer: 614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893290.\nAnswer: 2, 5, 89329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 474?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 4*j - 3*j)*(-3*j + j + j)*(19 + 20 - 13).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**4 - 13*f**3 + 16*f**2 - 2*f - 9. Let q(j) = -j**4 + 3*j**3 - 4*j**2 + 2. Let a(o) = -2*p(o) - 9*q(o). Factor a(x).\nAnswer: -x*(x - 2)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-144))\/((12 - 5)\/(-147)). Sort 10, -1\/8, y, 4.\nAnswer: y, -1\/8, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:13 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1150\/345*9\/75\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 11*x**2 + 11*x - 6. Suppose -3*i - 30 = -8*i - a, 2*i - a = 5. Suppose -10*y + 7*y - 36 = 5*r, 5*y = i*r - 60. Calculate k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/13, -4, 1047, 4 in descending order.\nAnswer: 1047, 4, 0, -6\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 5}. Give prob of sequence naa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -76. Calculate the remainder when 2\/(-6) + 50\/6 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/476*14*(13 - -1). What is the hundreds digit of 79*j - (12 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - 247\/39. Calculate the common denominator of (-3)\/v - (-374)\/616 and -25\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13855379 is divided by 2310.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*t - 18 = 0, 7 + 17 = -2*y + 4*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 45*t**3 - 10*t**2 + 2*t + 9. Let k(n) = -68*n**3 + 14*n**2 - 3*n - 13. Determine 7*b(y) + 5*k(y).\nAnswer: -25*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-5*p + 4*p + 10*p - 3*p + 2*p + 3*p - 5*p + 5*p + 2*p + (p - 2*p + 0*p)*(0 + 1 - 2)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 562852 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 2. Calculate the highest common factor of w and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -519\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 - 1080*i + 13372. Let s be ((-20)\/(-3))\/2*-3. Let a = s - -17. What is the remainder when d(13) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 + 7*t - 8*t - 4.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15366 divided by -394?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518346 and 756.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 184655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 e when three letters picked without replacement from soooomehsoeessese.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k + 3. Let u be (6 - 4)*(-6)\/4. Does 18 divide z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474 = 20*b + 230 - 264 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249576*k + 249383*k + 4*k**2 - k**2.\nAnswer: 3*k**2 - 193*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:23 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(19404\/(-16200)) - (-10)\/(-35).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20) - 4\/(-70)*-3. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) -2\/11 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (69\/(-15) + 5)*30\/4. Let p be ((-98)\/90 - -1)\/((-8)\/12). What is the smallest value in -6, 1\/5, p, u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2)\/(((-32)\/(-4))\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7\/464, 0.4, -4\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -607399*q - 4251801. Calculate s(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -9.9, -0.3, 4, -0.1124, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*n + 123262*n**2 - 123262*n**2 + 2152*n**3 as b*n**2 + j*n + m*n**3 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119366 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 13*j - 24. What is the remainder when -3 + 1 - 24\/(-1) is divided by n(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511031 - 1432?\nAnswer: 505155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 15.5. What is the nearest to 2\/5 in b, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 139*d**2 + 182*d - 357. Calculate the remainder when t(2) is divided by 86.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -10, 2*w + 106 = 6*w - 3*j. Suppose 2*y + 3*y = 50. What is the remainder when w is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t + 245*t = -1075*t + 27038 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1465750, 1466294, 1466838, 1467382?\nAnswer: 1467926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + 0*w**2)*(6*w - 3*w + 0*w) + 17313*w - 17313*w - 30*w**3.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 2*f + 1. Let w be o(-2). Let j be -8 - (-2 + 1 + -2). Let x = w + j. Solve -3*a - 13 = -x*p, p + p - 5 = a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 6. Let i(m) = 58*m**2 + 6*m + 31. Is i(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 - 1 - 3. Let c(w) = 2*w + 10. Let x(h) = 2*h + 9. Let b(u) = -2*c(u) + 3*x(u). Let q(k) = -2*k - 7. Let d(z) = m*b(z) - 3*q(z). What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 0.5. Let q = 2994 - 3151.9. Let w = 158 + q. Which is the second smallest value? (a) t (b) 1\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/2*(-45)\/(-27). Solve 0 = 4*a - 3*v + b, 4 = -4*a - v - 3*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 630935201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3302, -26629, -89974, -213347, -416758, -720217?\nAnswer: -1143734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from ttttmemeenmeneoeon.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from czq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7, w: 2, o: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21344.0000033744 + 21344. Round z to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - q - 88*q**2 + 46*q**2 + 1 + 41*q**2. Let g(i) = 17*i**2 + 42*i + 17. Let t(z) = 2*g(z) - 2*j(z). Find w such that t(w) = 0.\nAnswer: -2, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7080*b**2 - b - 16723?\nAnswer: 14160*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 60 = 15*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64890016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(6930\/44))\/(2 + 58\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 112720409 divided by -3\nAnswer: -112720409\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 8.07. Let h = -7.4 - f. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 38*n**2 - 15*n - 285. Let a be k(-24). Which is greater: a or -19508?\nAnswer: -19508","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + 11. Suppose k = 2*g - 0*g. What is the common denominator of 12\/5 and (4\/9)\/(3\/g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/160177374 and -31\/1089642.\nAnswer: 160177374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5368 minutes in nanoseconds?\nAnswer: 3272208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c4aa5 (base 13) to base 6.\nAnswer: -35253431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*l**2 - 21*l**2 - 53*l**2)*(-12 - 4 + 4) in the form d*l + i + t*l**2 and give t.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f - 2*p, -5*f + 2*p = -12. Solve -f*m - 3 = 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/13*(-2)\/42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4222333 (base 6) to base 13.\nAnswer: 725c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.8 - 16.5. Round w to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 6*u + 94 = 0, -5*u - 11339 = -5*w - 11389 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206*v = -169*v + 30302 + 9573 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca - 5?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-81)\/24))\/((-52)\/13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28121821, 56243642, 84365463?\n\"Answer: 28121821*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(18\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drddrr. Give prob of sequence drd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389\/523 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-7)\/21). Put b, 4, -3 in decreasing order.\nAnswer: 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from ssookotsotbho?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -85*s + 77. Let d be g(-2). Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -1, 0.09, 113, 2\/5, 0.2?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 46*z + 369. Let r be t(-8). Let g(n) = -n**3 - n + 8. Let w be g(0). Put -6, w, r, 0 in decreasing order.\nAnswer: w, r, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -13, -41, -69, -91, -101?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 1. Let k be (-17)\/(-2) - (-4)\/8. What are the prime factors of b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -0.1. Let t be (-2)\/(-8) - (-69)\/(-36). Suppose l = -4*s - 16, -4*s - 9 = 3*l - 5*s. Which is the nearest to x? (a) l (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65194.06 millilitres to litres.\nAnswer: 65.19406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwothtthh. What is prob of picking 2 w and 2 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568616 and 101813.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1. Let z(j) = 3*j + 8. Let f = -64 + 65. Give f*z(d) + 6*q(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*m - 12 = 582*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 0)*(2 + 31*b - 31*b + 9*b**3).\nAnswer: -18*b**4 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 51 = -9*t. Let g be (0 + 3 - 2) + 1. Solve -5*a + 14 = -3*d, t*d - 14 + 0 = -g*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9614*t + 48061*t - 38441*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a5 + 2?\nAnswer: -14a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + i)*(0*i**2 + 0*i**2 - 2*i**2)*((-1 + 4 - 4)*(-3 + 3 + i) + i + 3*i + 3*i) to the form f + p*i**4 + g*i + z*i**3 + d*i**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000134888 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + -1. Let t = x - -143. Which is the closest to 1? (a) -2 (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3627240 and -43\/18100.\nAnswer: 18136200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.093116 minutes to milliseconds.\nAnswer: 425586.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y. Suppose -2*q = -2*v, -5*v - 21 = -5*q + 7*q. Let t be (q\/(-6))\/(0 - (-1)\/2). Calculate k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.343 - -0.243. Which is the nearest to 3\/4? (a) 1\/6 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/43))\/u**(2\/7))**30 assuming u is positive.\nAnswer: u**(6870\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -99505.\nAnswer: -1\/99505","meta":{"dup_signals":{},"source":"arithmetic__div_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 -293560 divided by 205?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -0.1, -0.4, 57, 0.342?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 6. Let z be m(4). Let q(c) = -c**3 + 11*c**2 + c. Let g be q(z). What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 46*l + 83. What is z(44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + v**3 + 0*v + (1375*v + 100836 - 100836)*(2 + 4*v + 3*v - 5*v)*(0*v - 3*v + 2*v) to the form k*v + n + t*v**3 + m*v**2 and give m.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 12*o**2 + 12*o + 16. Let f be y(-11). Suppose -f*d + 5*u - 156 + 46 = 0, -3*d - 3*u = 54. Let t = 30 + d. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37*5.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12031*h**2 - 35808 with respect to h.\nAnswer: 24062*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:02 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -400 + 394. Let k(n) = n**2 - n. Let c(x) = 4*x**2 - 2*x - 2. Give p*k(f) + c(f).\nAnswer: -2*f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 5:32 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209129 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: Calculate 1 - 2 - (957 - 947).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -73260 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 1. Let r be a(5). Let j = 133 + -133. Let t = 0.4 - 0.3. What is the nearest to t in j, r, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/((-608)\/56)*2\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40937 and 4559.\nAnswer: 3970889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 3200300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - p + 1. Let k(o) = -2*o**2 + o - 1. Suppose 0*q + 50 = 5*y - q, -4*q - 29 = -y. Suppose -y - 11 = 5*d. What is d*k(w) - 3*n(w)?\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10874095 and 25685?\nAnswer: 119615045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 7:28 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -1\/54?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.71012 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 237.9518 litres?\nAnswer: 237951.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 + 14*n**2 + 4*n + 6. Let b(u) = 8*u**3 - 10*u**2 - 4*u - 4. Determine 3*b(y) + 2*k(y).\nAnswer: 8*y**3 - 2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*c = 15, 5*f + c - 6 = 2. Solve 0 = -2*p + 2*d + 12, -3*p + d = f - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 4?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 - 2*i. Let v = -6 - -2. Let a be f(v). What is the units digit of a\/10*15\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 83*z**4 + 2159*z**3 - 158338*z**2 + 1665396*z + 20088 = 0. What is z?\nAnswer: -62, -1\/83, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(44)\/sqrt(4)) + (2*sqrt(504) - sqrt(504)))\/(sqrt(24)\/(6*1*sqrt(12)))*-4.\nAnswer: -168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(468) + -3)**2*-4 + 1.\nAnswer: -1905 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -903*y + 24372. What is h(27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) + 0) + sqrt(5) + -1 + -4)**2 + 0 + sqrt(35)\/sqrt(175).\nAnswer: 45 + 101*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 3*s + 14. Determine z(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*w**5 - 354*w**2 + 354*w**2)*(-14 + 3 + 22 + 23).\nAnswer: 1870*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Let k(w) = -66*w. Calculate b(k(z)).\nAnswer: -198*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/78)\/(3\/(-36)). Let n = 3.2 + -3. What is the nearest to -0.1 in n, b, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3 + (-2)\/(-6). Solve 2*t = 3*t - z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - c + 0*c)*((-2*c - 3 + 3)*(16*c - 31*c + 46*c) + (2*c + c - 4*c)*(-3*c - c + 3*c)) to u*c**2 + j*c + s + x*c**3 and give x.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -16. Let w be (-5 - -2)\/(i\/4). Solve -2*o = 5*g - 0*o + w, 0 = -2*g + 4*o - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1907168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (-4*(-4*2*sqrt(475) + -2))**2.\nAnswer: 2560*sqrt(19) + 486464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a - 17*a - 3*a. Let y be n(-1). Let z = y + -27. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 14, r: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7525 - -7545. Let m be 588 + (-8)\/12*-3. What is the highest common factor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418849 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: Expand n**2 + 2*n**3 - n**2 + (2*n - 3 + 3)*(-2 - 4 + 3)*(-2 + 2 - 1)*((3 - 3 - 2)*(-4*n**2 - n**2 + 4*n**2) + n**2 + 0*n**2 + 2*n**2).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 30, 49, 68, 87?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 - 203.4. Let f = z - 12.2. What is the closest to -0.2 in f, 2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (-3*sqrt(68) + -4)**2.\nAnswer: -628 - 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.309999474 + -5.31. Round t to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**2 - 4*b. Let w be p(4). Let d(l) = -l + 18. Let v be d(18). Suppose k - 7 - 17 = v. What is the greatest common factor of k and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1\/4, -0.4, -61\/7, 6, 338?\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 62*b - 592. Calculate o(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 5*y**3 - y**3 + (2*y + y - 2*y)*(-3*y**2 + y**2 + 0*y**2) + 30 - 30 + 4*y + y**2 - 10*y**3.\nAnswer: -11*y**3 + y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1 + 5 + 0 - 3*w. Let f be l(3). Let g(o) = 2*o**2 - 4*o - 9. What is the tens digit of g(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7 + 4 + 7*d**2 + 3. Let p(w) = -39*w**2 - 10*w + 40. Let r(c) = 41*c**2 + 11*c - 44. Let g(o) = -11*p(o) - 10*r(o). What is z(g(f))?\nAnswer: 2527*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195614046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -3*s. Suppose -s*j + 0*f + 75 = 4*f, -10 = 2*f. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 9*l - 7. Let u be r(6). Let o be ((-10)\/4*(-6)\/(-5))\/((-1470)\/980). Solve -o*z + 3 = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 13. Suppose 20 = 2*g + 3*u + 4, 0 = -2*g - 5*u + p. Let s be 207\/18 - (-1)\/2. Is s greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f - 24*f + 17*f)*(f**4 + f**4 - f**4) + f**5 + 4*f**3 - 4*f**3 + (-2*f**2 + 2*f**2 + 2*f**3)*(6*f**2 - 15*f**2 - f**2).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -ec82a3?\nAnswer: ec82a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-135))\/(7\/(-70)) + (2 - 2807\/63).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 31*t - 28. Let o be r(32). What is the biggest value in o, 0.5, -0.16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95243\/(-3535) + 6\/(-105)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4078 and -43?\nAnswer: -175354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10013 = -33*b + 1139*b + 25*b - 89183 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -1\/5, -4\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 87\/43 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894 is divided by 9\/(45\/1510) - (-17 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/5 - 22*h\/5 - 56\/5 = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54933740989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 9}. What is prob of sequence hzz?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0 (b) -1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248789 is divided by 217?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*((-4)\/(84*1))\/((-357)\/833)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05212 rounded to 3 decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3452 and 77\/2258684?\nAnswer: 1949244292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.54, 0.3, 1, -0.2, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 128183586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 5*q**3 - 3*q - 2*q**3 as b*q**2 + a*q + n*q**3 + v and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 7. Let b be z(3). Suppose 4*x - 3*k = 32, 2*k - 40 + 8 = -b*x. Let a be 3\/2 + (-4)\/x. Let t(n) = 6*n**3 + n - 1. What is t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6593 - -6596. Solve 30 = -3*i - t*n, -4*n - 14 = 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -6, -7, 0, 1099 in increasing order.\nAnswer: -7, -6, 0, 3, 26, 1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 4213?\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11*w*w*w**29\/w)\/(w**(-29)*w*w)**(-49) assuming w is positive.\nAnswer: w**(-1282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-99960)\/2992)\/245*((-166)\/174 - -1)\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -0.055 (c) 0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02087 - 3.1.\nAnswer: -3.12087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by -8 - 203\/14*-4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) -10384 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1250 and -91\/400.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 31*b - 6. Let m(i) = i**2 - 24*i + 6. Let d(v) = -4*h(v) - 5*m(v). Give d(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -57*d**2\/2 - 2*d + 3. Let g be f(-3). Let b = g + -95. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38468, 38477, 38492, 38513, 38540, 38573?\n\"Answer: 3*b**2 + 38465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86200 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*y - 568*y - 38 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 55*y + 368 = 0. What is the least common multiple of 572 and y?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(360) - sqrt(10)))\/(sqrt(252)\/sqrt(4)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.8 + 32. Let a = -15 - -16. Let s = a - y. Put 3\/7, s, -0.04, 0 in decreasing order.\nAnswer: 3\/7, 0, -0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*q - 57, 128*m - 130*m = -2*q - 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (243 + -258 + (-38 - (-1 + 4)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6285 + -6285.1. What is the nearest to f in 2\/13, -5, 1\/7, 10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 24*s + 77 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 5. Let o be z(2). Suppose -o*t + 3*t = -12. Let v(c) = c**3 + 4*c**2 - 2*c - 3. Let n be v(-2). Solve 0 = -q - 4*i + 2, 0 = 3*q - t*i + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-152))\/((-6)\/48) + (-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l - 174*l + 556*l - 74*l - 69*l - 80*l - 78*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1514515 + 12034?\nAnswer: -1502441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*j**2 - 105265*j - 558357.\nAnswer: -36*j - 105265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3504*t + 15151 + 144581 - 12564 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*m**3 - 214*l*m - 24421*m**3 + 102*m**2 wrt m?\nAnswer: 12*l - 146526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1673463 + -703.5012\nAnswer: 1672759.4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 46*n - 32. Let z(s) = 2*s**2 - 47*s + 33. Let r(f) = 4*a(f) + 5*z(f). Let j be r(-26). What is the highest common factor of 121 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(7*g**4 - 8*g**4 - 6*g**4).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -871*a**2 + 17. Let w(i) = -1305*i**2 + 28. Give -8*j(f) + 5*w(f).\nAnswer: 443*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*r + 9*r. What is the third derivative of 9*a**2 + 13*a**2 + 4*a**4 + 7*a**3 + r*a**3 + 36*a**2 wrt a?\nAnswer: 96*a + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 23*i**2 - 11*i + 14. Let q be r(-11). Solve -5*u = z - q, 12 = 3*u + 28*z - 31*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 5, -1, -7, -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (250\/20 + -12)*4\/(-19). Let m = 8 - 7.9. Which is the smallest value? (a) -2\/7 (b) n (c) 1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/15 (b) 1\/5 (c) 5 (d) -3.139 (e) -3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*x + 2, -2*x + 5*x - 3*v = 0. Suppose 0 = -x*b - 2*b + 52. Calculate the remainder when 147\/4 + (-5)\/(-20) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35695 * -175.\nAnswer: 6246625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/90 + o**3\/2 + o**2. Let j(k) be the first derivative of c(k). Let w(p) = p. Determine w(j(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhl when three letters picked without replacement from {l: 8, h: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1133 or 1193?\nAnswer: 1133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by -2679.\nAnswer: 155\/2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -3*i + 1\/18*i**3 + 1\/36*i**4 + 0*i**2 + 0 - 1\/60*i**5 - 1\/90*i**6. Factor u(f).\nAnswer: -f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h + 261. Let q be t(-15). Suppose -q*g + 11538 = -105*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - k + 9 = 0, 1 + 13 = 4*l - 2*k. Suppose -l*c - 4*i + 12 = 0, -2*c + 2*i + 0*i + 2 = 0. What are the prime factors of c\/10 - 49\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 227. Let b(k) = 12*k**2 - 2*k - 1. What is the remainder when 147 is divided by b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7. Suppose w*a + 20 = 5*h + 3*a, 25 = 4*h - 5*a. Solve h*g - 5 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 3218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8668)\/(-394)*(-49)\/(-77)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 - 6*n - 1. Does 12 divide v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3 and -36\/137.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 38 = -5*r + 15*r. Calculate the smallest common multiple of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102096 and 7056?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l + 88*l**2 - 276*l**2 - 8*l + 112*l**2 + 93*l**2 - 23*l**3. Let t(a) = -6*a**2 + 0*a**2 + 12*a**3 + 6*a - 4*a**3. Give 17*t(q) + 6*u(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 2*h = 12*r + 299, 3*h + 21 = 0. What is the lowest common multiple of r and 626?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from nnzmzwznamwzmm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 137, 306, 543, 848?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3951 - 2970. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*q + 2*q + 249 = 0, -5*q - 258 = -3*b. Calculate the remainder when b is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r**4 + 13*r**4 - 4*r**4)*(2*r + 0*r - 3*r + 2*r - r - 3*r + (-3*r - 1 + 1)*(4 - 4 - 2)).\nAnswer: 63*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + sqrt(63) + 1 - (sqrt(343) + (sqrt(343) - (1 + sqrt(343))))**2)*-4.\nAnswer: -76*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2665)\/18655)\/(((-1)\/(15\/(-2)))\/(4\/6)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 5 (b) 0 (c) -1 (d) 0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11868 is divided by 2939?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-105)\/(-9) - 4\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*a*c**2*s + 2*a*c*s - 11747*a*c + 5732168*a*s**2 - 2*c**2*s**2 + 2*s**4 + 1 wrt s?\nAnswer: 11464336*a - 4*c**2 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8, -4*h - u - 3*u + 16 = 0. Suppose 3*i + 6 = -4*a + 24, h*i - 4*a - 12 = 0. Suppose 2*b - i = 0, -4 = q - 4*b + 2*b. Solve 0*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 87*a**2 + 17. Suppose -9*r = -3*r - 51 - 27. Let y(c) = -43*c**2 - 8. Determine r*y(l) + 6*j(l).\nAnswer: -37*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2 - 175*x + 218. Give k(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37405 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 0 (c) 1\/3 (d) 15 (e) 1 (f) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 + 2*h + 10. Let d be y(-5). Suppose 15 = g - d. Suppose -2601 = -g*r - 1026. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 3*o + 23, 4*i + 5*o - 43 = 0. Suppose -3*g + 2*g + 16 = 4*p, -8 = -g - 2*p. Let u = i + g. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 3. Let r be 3\/21 + 68\/14. Suppose -r - 7 = -12*t. Let d(y) be the third derivative of -y**4\/24 - 19*y**2. What is t*g(v) - 4*d(v)?\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13 + 4 = 0. Suppose -3*s + 5 = -f*v + 2*v, 13 = 5*s + 3*v. Solve 5*t + 2*h = 29, -s*h + 3*h - 27 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/15 + 30\/(-225). Which is the closest to -0.4? (a) q (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -269342, -538590, -807838, -1077086, -1346334?\n\"Answer: -269248*i - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*b**2 - 2*b**3 + 4*b**3 - 608*b**2 + 18*b = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 - 893*p**2*x**2 - 203*x**2 + 7 with respect to p.\nAnswer: 3*p**2 - 1786*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - ((sqrt(19) - sqrt(171) - sqrt(19))*-4)**2 - sqrt(19) - (3 + 1*sqrt(19))**2.\nAnswer: -2764 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -205109.\nAnswer: 2\/205109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 2*z + 85. Calculate the remainder when w(0) is divided by 49.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6019, -6004, -5993, -5986, -5983?\n\"Answer: -2*r**2 + 21*r - 6038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8 + 3 - 12*l**2 + 51*l - 33*l - 2*l**3 + 4*l**3. Let o be z(4). Factor -10\/7*c - 4\/7 + 2\/7*c**o + 2\/7*c**4 - 6\/7*c**2.\nAnswer: 2*(c - 2)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {q: 4, b: 2, x: 1, l: 2, m: 1, a: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:50 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(3 + -4 + -5). What are the prime factors of ((-8)\/b)\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -138*q**2. Let v(m) = -7*m**2. Give v(y(u)).\nAnswer: -133308*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42335 divided by -3149\nAnswer: -42335\/3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 90 = -17*y. Suppose -y = 4*z - 77. Solve -4*p + 3*x - 9 = 0, -7*p - z = -2*p + 3*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 160, 2\/11, 2\/21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -126398?\nAnswer: -126414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k\/(k*k**(-2\/5)\/k)))\/k)**(1\/9)\/(k\/(k*k**(2\/5)\/k))**17)\/((k**(1\/2))**(-21))**(-1\/66) assuming k is positive.\nAnswer: k**(-20819\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*u**6 - 9206*r*u**2 - 55*r + 8010*u**6 + 4*u**3 wrt u?\nAnswer: 240*r*u**3 + 961200*u**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7\/x**(-4)*x**(-1\/8)\/(x**(3\/8)*x) assuming x is positive.\nAnswer: x**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 = -73*k + 1217 - 296. Let p(q) = -q**3 + 17*q**2 - 13*q - 3. Let r be p(12). What is the highest common factor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 27 = 5*k, 1 = 5*q - 3*k - 9. Let d be (-1 - -1)\/2*1. Let z be 5 - (q + d + 3). What is the greatest common factor of 30 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227 - -240. Let f(w) = w**3 + 6*w**2 - w + 7. Let k be f(-6). What is the highest common divisor of y and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -74. Suppose 13 = 5*a - j. Is 16 a factor of ((-16)\/a)\/4*(-120)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19094, 19092, 19088, 19082?\n\"Answer: -h**2 + h + 19094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (568*d**2 - 3 - 122*d**2 + 0 + 806*d**2)*(0 + 8 - 5) to n*d**2 + k*d + r and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653 - 5*c**2 + 1164 + 100*c + 123 + 2511 = 0.\nAnswer: -17, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1326*d**4*n**2 - 38201*d**4 - 27*d**2*n**2 + 2*d**2*n - 2*d**2 - 8764*d*n**2 - 116*d wrt d?\nAnswer: 31824*d*n**2 - 916824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -4 (c) -1 (d) -0.3 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(2\/21). Let m(h) = h**3 + 5*h**2 - 20*h - 22. What are the prime factors of m(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r**2 - 64*r + 90163. What is h(78)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7939184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*k**4 - 41*a*k**2 - 10873*a*k - 32*k**5 wrt k.\nAnswer: 24*a*k**2 - 82*a - 640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8710 divide 779810953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3944973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5297758.9 rounded to the nearest ten thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -69 + 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011112 (base 3) in base 7?\nAnswer: -141665","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, f: 1, r: 1, c: 1}. What is prob of picking 1 c, 1 u, 1 a, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 5*h - 2. Let a be q(-3). Suppose -5*f - i + 3 = 0, -2*i = -f + i - 9. Let u be -4*(f - (-2 - -1)). Sort u, 4, a.\nAnswer: a, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**2 + 3*p**2 - 5*p**2 + (4 + 2*p - 4)*(3 + 2*p - 3) in the form v*p**2 + k + a*p and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-6)*126\/(-35). Let p = l - -22. What is the second biggest value in 2\/7, -3\/5, p, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 14150804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/9 - 14*r**2\/9 - 32*r\/9 - 8\/3 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 - -161. Suppose -h*j + 29*j + 950 = 0. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*(sqrt(117) + 1*sqrt(117) - sqrt(117)))\/sqrt(9) - ((sqrt(1872) - (-1 + sqrt(1872) + sqrt(1872))) + 0)) + -5)*-5)**2.\nAnswer: -3000*sqrt(13) + 33400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 10*k - 31 = 0. Let t(o) = -2*o**2 - o. Determine t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2136 (base 7) to base 15.\nAnswer: 35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -2\/25, -0.38, -5, 1\/3.\nAnswer: -5, -1, -0.38, -2\/25, 1\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36715 (base 9) to base 4\nAnswer: 12000332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 60 - x + 154)*(1 + 14 + 2) - x - 2*x + 5*x.\nAnswer: -15*x + 782","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93924?\nAnswer: 2, 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = 3*b - 0, 4*b = -2*n + 6. Suppose 0*w - 5*w - 125 = -5*a, 5*a + 2*w - 125 = 0. Let y = -23 + a. Sort y, -5, n in increasing order.\nAnswer: -5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5677325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 4*k**3 - 2*k**3)*(1 + 0 + 0) + (2073*k + 1 - 472*k**2 - 1035*k - 1037*k)*(-k - 2 + 2).\nAnswer: 470*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -18*a**3 - 4*a**2 + 3*a - 5. Let h(s) = -22*s**3 - 5*s**2 + 4*s - 6. Let y(f) = 4*h(f) - 5*l(f). What is y(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3940555000 to the nearest one million.\nAnswer: -3941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 895133 = 17*i - 4768684. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, 4, 3, -0.026?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2794 + 4861. What are the prime factors of k?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 + 17) - 13) + 5 - -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 4*c**2 - c**2)*(-2 - 2*c + 2)*(c + 1 - 1).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*d + 6 = -401*d + 1163*d - 6*v, -4*d - 3*v = 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282 - -282.9. Let p = c - 0.5. What is the closest to -2 in 0.5, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, -3*n - n = o + 8150. What is o rounded to the nearest one hundred?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 15. Let y be ((-7)\/(-14))\/(165\/84 + -2). Let r be k(y). Let c(o) = -107*o**3 + o**2 + o + 1. Is 18 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -10110100011101?\nAnswer: -10110100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(108) + -2))**2 + (sqrt(3267) + -2*sqrt(3267) - sqrt(3267) - sqrt(27))\/(sqrt(1575)\/sqrt(7)).\nAnswer: 8977*sqrt(3)\/5 + 24400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-36) + (-4)\/(-3). Let p(j) be the first derivative of 0*j**3 + v*j - 1 + j**2 + 1\/4*j**4. Find the second derivative of p(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -369153 and -369053 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 2*y - 5*k - 6, -12 = -2*y + 5*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 846\/181?\nAnswer: 846\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 21*x**2 - 2*x + 1 - 45*x**2 + 33*x**2 + 172*x**4 + x in the form b*x**4 + t*x + s*x**3 + k + o*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 38*t - 41*t. Suppose j = -t*g - 52, -j = -3*g - 5*j - 52. Let m(y) = y**2 + 12*y + 2. Determine m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3698*i + 3543*i + 16275 for i.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 5*f + 5. Let o(i) = i**3 + i + 1. Calculate c(t) - 4*o(t).\nAnswer: -4*t**3 + 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxq when three letters picked without replacement from {f: 4, c: 2, x: 1, y: 3, q: 2, k: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = -5*r, -4*r + 22 = 3*f - 29. Suppose 0 = 5*m + 412 + f. Let x = -3 - m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15543 is divided by 1281.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/185 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 4. Let o(h) = h - 6. Let r be o(10). Let d(k) = -k - 4. Let v(s) = 1. Let n(l) = -d(l) - v(l). Give r*n(q) + 3*g(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67030187 rounded to 4 decimal places?\nAnswer: -1.6703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 12 - 1435*y**3 - 218*y**3 - 2 - 4.\nAnswer: -1653*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312069\/(-186524) + 11\/4.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*s - 3*v, 642*s - 637*s = 5*v - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.18 - 2.38. Which is the nearest to 2\/3? (a) -0.5 (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 + -70319.690358512.\nAnswer: -70341.690358512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.865 and 4.\nAnswer: -127.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1077 and -19\/24.\nAnswer: 8616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2 - 11. Suppose 0 = 5*b + 2*p - 90, 103 = t*b + 5*p + 30. Calculate the lowest common multiple of b and (-9)\/(324\/8) - (-328)\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssr when three letters picked without replacement from {r: 3, s: 3, g: 4, t: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d**2 + 26*d - 138. Let u = -765 + 772. What is the units digit of r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2589645 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/294 and 86\/127701.\nAnswer: 1787814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-11)\/(-6) + (-52197)\/18. What is s rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/((-2 - -6) + (-555)\/140).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, 0, 1, -2.2, 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z = 11*z + 574 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -87. What is the remainder when 95 is divided by s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8034430 is divided by 1708?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1953.77 and -137091.36?\nAnswer: 139045.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + a, -6 = -5*a + 9. Let m = 0.15 + 0.35. Put q, m, -4\/3 in ascending order.\nAnswer: -4\/3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301007 (base 9) to base 12\nAnswer: -86b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 + 1813*j**2*k**3 + 22*j*k**3 + 14*k**3 - 71*k**2 - k - 20 wrt j?\nAnswer: 8*j**3 + 3626*j*k**3 + 22*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1 + 3)**2 + 1*(sqrt(300) + sqrt(300) + 1)**2.\nAnswer: 76*sqrt(3) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a**2 + 85*a**2 - 27*a**2 - 17*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - (5 + -2 - (105 + -92))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269148443\/18 + -14947840. Let l = w + -4850. What is the common denominator of l and 162\/20 + 2\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07982 and -0.514?\nAnswer: -0.04102748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/168 + 13*g**7\/420 + 3*g**6\/80 - 47*g**5\/120 + 35*g**4\/48 - g**3\/2 + 17*g**2 + 12*g. Let q(s) = 0. What is s?\nAnswer: -2, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -40*n - 1. Let k(z) = -43*z**2 + 3*z + 2. What is k(x(l))?\nAnswer: -68800*l**2 - 3560*l - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16\/14 + 16168\/(-20468)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 21. Let p = b + -2. Let d be 3*-2*1\/2. Sort d, -1, p in ascending order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52269801 is divided by 5060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 279892, 559786, 839680?\n\"Answer: 279894*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 53, 115, 213, 353, 541?\n\"Answer: i**3 + 9*i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + s - 2*s = 42, 0 = -4*w + 5*s + 169. Let a = 81 - 11. Let v = a + -55. What is the remainder when w is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24*z - 9. List the prime factors of f(-10).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24540?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3471439 centuries?\nAnswer: 34.71439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 162173090.68443 and 0.06.\nAnswer: 162173090.74443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*g + 29*g - 27*g + (0 - 1 + 2)*(4*g - g + 2*g).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1377 (base 14) to base 5\nAnswer: 102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 931273 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y. Let v be h(1). Calculate the remainder when -1*v*(-140)\/15 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4869*m**2 - 14631*m + 72 = 0?\nAnswer: 8\/1623, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncercecngcnnrnrc. Give prob of picking 1 r and 2 n.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 18.7. Let d = j + -3.304. What is d rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3 + 8566984*r**2 - 68529957 wrt r?\nAnswer: -6*r**2 + 17133968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-3 - 2\/(-1)). Suppose 6*c + 0*c - 216 = g. Let a(l) = l + 1. Let n be a(8). What is the greatest common factor of n and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:34 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n + 1. Let l(v) = -v**3 + 7*v**2 + 11*v - 6. Let f be l(8). Let b = 28 - f. What is the lowest common multiple of w(-1) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.11 to 1 decimal place.\nAnswer: 25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.246 * 24092\nAnswer: 102294.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 3*t - 1. Let x be r(4). Let v be 130\/2*(-2)\/x. What is the greatest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 836944 or 24271350\/29?\nAnswer: 836944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1466, 2904, 4342, 5780, 7218?\n\"Answer: 1438*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 223. Let s = z + -96.99999957. Round s to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 850, 1928, 3442?\n\"Answer: 218*i**2 - 12*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = m + 4*b, 0 = 2*m - 5*b + 4*b - 17. What is the second smallest value in 2\/3, m, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 10\/((-30)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(-1\/5))))*y*y\/(y\/y**(-2)))\/(y**(-1)*y)**6*(y**(1\/6)\/y**(-2\/9))**45 assuming y is positive.\nAnswer: y**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40505472 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 75 = -2*x, 0 = 2*w - x + 13 + 17. Let j be (-2)\/(-4)*(-3 - w). Calculate the highest common factor of 24 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s - 1 + 2*s + 2*s. Let d(l) = -2*l - 7. Let k be d(-4). Let o be z(k). Let u(h) = -h**3 + 3*h**2 + h + 3. What is u(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 14*j**2 - 32*j + 3. Calculate g(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632655 is divided by 111.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 42. Let d(l) = -13*l + a*l - 13*l**3 + 13*l. Let q(f) = 20*f**3 - 8*f. Calculate 8*d(n) + 5*q(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2 = 5*a + 3, -2*a - 2*v = -18. Find the second derivative of -13*p + 58*p**4 - 34*p**4 - 31*p**a wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 7170\/7965 - 6) + (-12)\/(-108)?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.04 + 0.04. Let g be ((-12)\/14)\/(801\/623). What is the nearest to d in -0.4, g, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*g + 1)*(0*g**3 + g**3 + g**3) - 9793*g - 18*g**4 + 9793*g - 2*g**3 + 2*g**4 + 2*g**3 + (-4*g**2 + 7*g**2 - g**2)*(3 - 3 + g**2) + 3*g**4 - 3 + 3.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 647.71 - 2.71. Let b = 641.97 - s. Let o = b - -3.2. Round o to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(2)*3 + -1)*-5.\nAnswer: -120*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 174\/9860*-34 + 1 + (-144)\/10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-68.483.\nAnswer: 479.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-501)\/(-63) + -8)\/((-1)\/6). Sort f, 25, 61 in descending order.\nAnswer: 61, 25, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 2*f. Let d be 4*(-3)\/(-54) - (-2156)\/18. Let w = d + -116. Sort -7, f, w in decreasing order.\nAnswer: w, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/196*385\/110?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g - 4 = -71*g. Let u be -2 - -5 - (-1 + 0). Calculate the least common multiple of 3 and 4 + (u - g) - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 4, g: 7, u: 2}. Give prob of sequence gvug.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/8 and 23\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 2\/5 (c) -4162\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4510 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozz when three letters picked without replacement from {e: 2, t: 1, o: 1, z: 2, p: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1728 - -1193. Let x = -13 - f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3481 - -3537. Calculate the remainder when h is divided by 1\/(1 + 11\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**3 + 5*j**2 - 11*j - 5. Let g(p) = -6*p**3 - 3*p**2 + 9*p + 6. Let x(h) = -6*g(h) - 5*z(h). Calculate x(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25905784470 + -0.18.\nAnswer: 25905784469.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/24*18\/2. Let b = s + 215. Suppose -3*n + 0*k - 3*k + 93 = 0, 4*k + b = 5*n. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(10 - 116\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26925416 to the power of 1\/2, to the nearest integer?\nAnswer: 5189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)*4))**2*-1.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + 44153?\nAnswer: 44055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18*(30\/(-9) + 3). Suppose -2*a = l - m, 5*a - 2*l = -0*l + 15. Suppose 5*i = 5 + 5, 6 = -2*j + a*i. Solve -q + 0*q = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-17885))\/(11\/55).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64252451 + 0.0059.\nAnswer: 64252451.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/838 - 417\/1676. Sort v, -2158, -0.5, 0.3 in decreasing order.\nAnswer: 0.3, v, -0.5, -2158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 - 3) - (-19 - -35 - -10)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -l + 3*s, -l + 6*l = -4*s + 46. Let k be -4 - (((-162)\/l)\/3 - 1). Factor -k + 0*v + 3\/5*v**2.\nAnswer: 3*(v - 2)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:05 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258\/4*82\/123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 144598*k + 433794. Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:32 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 823 = -1163. Suppose 12 = 3*i, -209 = -4*n + 3*i + d. What is the remainder when n is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 3. Let m be v(-3). Let y(b) = 2*b**3 - 5*b + m*b**3 - b**2 + 4*b**3. Let j(q) = 5*q**3 - q**2 - 4*q. Let k = 5 - 0. Calculate k*j(t) - 4*y(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51\/2*g - 3\/2*g**3 - 15 - 12*g**2.\nAnswer: -3*(g + 1)*(g + 2)*(g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.326 - -191.326. Let i = u - 190.903. What is i rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28 - -16)*((-9)\/(-2) - -2). Let p = w + 82. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 17*z**2 + 17*z + 28. Let r be m(-16). Let a(t) = -14*t**2 - 8*t**2 - r*t**2 + 30*t**2. Let h(q) = -5*q**2. What is a(h(l))?\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) + -1)*5 + 2*(4*sqrt(65)\/sqrt(5) + sqrt(13)).\nAnswer: -9 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -539, -5\/4, -2\/3 in increasing order.\nAnswer: -539, -5\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4211.6 + 4211. Which is smaller: p or -0.0693?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**3 + 16*h**3 - 14*h**3)*(-405 + 528*h + 405).\nAnswer: 6336*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -135 + 227*l - 700*l + 135 in the form f*l + w and give f.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7022074227*r - 7022074235*r + 14044148453*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 30.26. Let f = d + 0.06. Suppose 5*j - 7*j = -5*l, -4*j - 20 = 0. Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 0*k)*(-2 + 2*k**2 + 2) - 44*k**3 + 4*k**3 - k**3.\nAnswer: -43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 14*o**2 + 24*o + 22. Let p be v(-12). Suppose 2*r = 3*s + 19, -2*r + 0*s + p = -4*s. Solve r = -a + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fepmmofppp. What is prob of sequence pef?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*j = -22, 118 = 5*n - 5*j + 28. Suppose 0 = -4*z + 2*k + 134, 0*k + 103 = 3*z - 2*k. What is the remainder when z is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64061 is divided by 298.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-2\/17))*s**6*(s\/(s*s*s\/s**(4\/3)*s*s*s))\/(s**(2\/35)\/s) assuming s is positive.\nAnswer: s**(5638\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -28*h - 4*h - 216 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2 - 2*r - 6*r + 10*r**2. Let g be a(-7). Let l = g + -88. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 4 + sqrt(19) + (sqrt(38)\/sqrt(2))**2)*4 + 5.\nAnswer: 8*sqrt(19) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4589381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9171.735ng to grams.\nAnswer: 0.000009171735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2120483422*p**2 + p - 2120483422*p**2 - p - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -4107\nAnswer: -38\/4107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*h - 4*h - 8, 2*h + 8 = q. Let t be 211\/2 - q\/(-4). Suppose -l + t = l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 181\/3. Let q = -1951 + 1950. Which is the nearest to w? (a) -3\/5 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13519 to the nearest one hundred.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*2)\/(sqrt(4) + (-2*sqrt(484) + sqrt(484) - sqrt(484))).\nAnswer: 8*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 1 + 1)*(0*i + 4*i - 5*i) - 4*i**2 + 6*i**2 + 4*i - 14 - 4 as c*i**2 + q*i + n and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 187 (c) -2\/5 (d) -4\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.676 - -0.34615\nAnswer: -5.32985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 711000 divided by 5.\nAnswer: 142200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w. Let d(y) = 7*y**3 + 6*y. What is d(r) + 5*g(r)?\nAnswer: 2*r**3 + 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331 - -331. Solve -2*r + 2*q + 6 = -p*q, -4*q - 12 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12313 + 0?\nAnswer: -12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2600413 and -39006203\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*b + 341*b + 262*b - 30465 = -258*b for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 8*r**2 + 2941*r + 601*r + 3206*r.\nAnswer: -6*r**2 + 6748*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*c + 1. Suppose -c = -i - 2*i. Solve 6*j - i*j = 4*g + 2, 5*g = 5*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*r - 0 - 4, r + 6 = 4*p. Suppose -3*m - 5*n = -2*n - 279, 0 = p*n. Suppose 5*y - m = 97. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/12 + 11*m**3\/6 + m**2\/2 + 6*m. Let j be b(11). Sort -4, j, 5 in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 40\/14)\/((-34)\/(-14) + -3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3004 + -0.001. Let h = i - 0.2995457. Round h to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g + 0)*(g - 2*g + 2*g) - 26*g**2 - g + 624*g**2 + g.\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3 + -1)\/(-1). Let o = 93 - 369\/4. Which is greater: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -4\/7, -0.5, -0.3, -0.4, -1\/28279, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -28. Suppose -4*m + m = -f. Suppose -22 = d - 22. Solve -m*u + 5*r = -d*u - 27, -6 = -5*u - 3*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1) + (2 - (-29 + -2 - 23))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106\/(-159)*36\/(-200)*-5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from xxyqxxxxxxxyt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5)*((-77)\/11)\/7)\/78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - -1 - (-5 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 - 5*z - 2. Let t be x(-3). Let p = t - -13. Let i be (0\/(-1))\/(-2 - -3). Solve -5*j + 12 + p = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27.7217 and 0.3.\nAnswer: 28.0217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 99*a - 388 + 1151 - 377 - 386. Let v(j) = -j. What is o(v(n))?\nAnswer: -99*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = -3*w + 3*j, -w + 6*w - j = 1173. Suppose 3*y - 695 = w. Suppose -3*b = -b - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*f + 105*f = 84*f + 513. Put -6, 132, f in descending order.\nAnswer: 132, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12023.00004707 - -12023. Round a to 6 decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27688 + -27674. Solve z*h - 12*h = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.710469 nanoseconds to microseconds.\nAnswer: 0.000710469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most as big as 23\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 5*g**7\/42 + g**6\/2 - 5*g**5\/4 - 5*g**4\/4 + 10*g**3\/3 + 61*g + 1. Factor i(p).\nAnswer: 5*p*(p - 1)**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 46?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214533 is divided by 12619.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 0*f**3 - 3\/2*f**2 + 0*f**4 - 3 + 1\/3*f**6 + 0*f + 0*f**5. What is the second derivative of l(r) wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 - 2*d**4 + 0*d**4)*(2 - 2*d - 3 - 3 + 3 - 2*d - 3 + (2 - 5 + 2)*(-d - d + 0*d) + 2*d + 0*d + 0*d - 3 + 2*d + 3).\nAnswer: -4*d**5 + 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*m - 14 - 10 = 0, 0 = -4*n - 4*m + 96. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*u - 12, 0 = 3*x - u - 3 - 6. Solve x*g + 8 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*i**2 + 1 + 10*i + 52*i**2 - 20*i + 0*i + i**2 + 0*i + (0*i**2 - i**2 + 3*i**2)*(-3 + 1 + 3) in the form n*i**2 + f + j*i and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-6 + 0 + 41*s + 5).\nAnswer: 82*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13179960 and 159435.\nAnswer: 39539880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -13, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/20 - y**4\/6 - 2*y**3\/3 - 7*y. Let o(d) = 3*d**3 + 5*d**2 + 8*d. Calculate 5*n(c) + 2*o(c).\nAnswer: c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -661 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 6. Let d be n(-6). Is 47 - (-2 - -3)*d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - -12) - (7 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -135*s. Let r(p) = -103*p. Determine r(m(k)).\nAnswer: 13905*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 - -10 - 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*y = 97, -y = 2*u - 0*y + 41. Suppose 21*n = 22*n - 40. Let c = n + u. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 59\/2. Sort -4, 1\/59, u in descending order.\nAnswer: 1\/59, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose g - 5 + 47 = 0. Let q = h - g. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*f**2 - 60*f**2 + 467*f**4 - 52*f**2 - 262*f**4 - 2 wrt f.\nAnswer: 4920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1\/22?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36128277, -36128273, -36128269?\n\"Answer: 4*c - 36128281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/27 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1909723 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**5)\/(k\/k**8*k))\/(k**(3\/2)*k*k*k**(2\/3)\/k))**(-3\/28))**21 assuming k is positive.\nAnswer: k**(-159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164.3 - 34.7. Let l = o - -199.195. Round l to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(4320)*3*-3)\/(-2*sqrt(486) - (sqrt(6) - (-2*sqrt(96) + sqrt(96)))))**2.\nAnswer: -216*sqrt(5)\/23 + 58849\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h + 14. Determine u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12978226 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1387 + -1382. Let w = 6 + -4. Sort r, -4, w in ascending order.\nAnswer: -4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*d - 29. Let u be (2 + 28)\/(2\/d + 3). Put -2, u, 0, 4 in descending order.\nAnswer: u, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 11 + 5 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 69*r**3 - 2*r + 71*r**3 - 2*r**2 - 2 - 2*r**2 as w*r**3 + m*r**2 + x*r + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:12 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9886 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*d = 40, 10*d - 12*d + 22 = -4*c. What is the nearest to -0.05 in 5, c, -8\/25?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose 0*f + 2*f = g. What is the first derivative of -2 + f + d**3 + 3 wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246423 is divided by 12318.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 + 270*a**2 - 33*a + 182. Calculate s(-90).\nAnswer: 3152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-7))\/((-50)\/175)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 4, 5, -5\/6, 0.2 in increasing order.\nAnswer: -99, -5\/6, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 182030407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*f**3 + 4*f**2*t**2 - 1131*f*t**2 + t**2 wrt f.\nAnswer: 918*f + 8*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4165 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1155, 5, -15, 4, -3, 109 in decreasing order.\nAnswer: 109, 5, 4, -3, -15, -1155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -338, -342, -332, -302, -246?\n\"Answer: o**3 + o**2 - 14*o - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxxbxbi. Give prob of picking 1 i and 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4323024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m - 40. Let n be (4 - 11)\/((-24)\/(-48)*(-4 + 2)). Give y(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 924097670*b**3 - 118264602*b**2 wrt b?\nAnswer: 5544586020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36189990743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6837 (base 10) to base 14.\nAnswer: 26c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88))\/sqrt(8) + 3 + (sqrt(11) - (1 + sqrt(11) + sqrt(11))) + -3)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/20516 and -31\/10258.\nAnswer: 20516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/17 + (-138918)\/517140?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 70.\nAnswer: -24, -1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 74\/(-26) + 10\/(-65). Is h < -19\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, -3 in decreasing order.\nAnswer: 26, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:26 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 8*s - 7. Let u be r(-9). Let v = 5 - 8. Let j = -1 - v. Is u greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1\/((-4)\/3)). Let f be (-1)\/(k - 86343\/(-21585)). Let s = f + 17995. What is s rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -184, 113, 614, 1325, 2252?\n\"Answer: z**3 + 96*z**2 + 2*z - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*o**6 - 343132*o**4 + o**2 - 165082302*o wrt o.\nAnswer: -1560*o**3 - 8235168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 7*m + 17 + 10*m - 8 to x + n*m and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*18\/48 - (0 + 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z - o = 21, o = z - 7. Let x(f) be the first derivative of f**3\/3 - 4*f**2 - 9*f + 4. What is x(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 6.2377?\nAnswer: -6.7377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d**2 + 0*d**4 + 0*d**5 - 2*d + 0*d**6 + 63 - 10\/3*d**3 + 41\/7*d**7. What is the third derivative of u(s) wrt s?\nAnswer: 4920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.17 - 74.33. Let s = -77 - k. What is s rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*3749.\nAnswer: 161207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 931820?\nAnswer: 2795460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 56449569.\nAnswer: -56449568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:17 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6816, -6763, -6732, -6729, -6760, -6831, -6948, -7117?\nAnswer: -7344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5201*v + 906*v + 4378*v - 349*v as c*v + t and give c.\nAnswer: 10136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46072.64 hours in milliseconds?\nAnswer: 165861504000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*n - 17 = 0, -36*b - 3*n = -33*b - 31*b + 209 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(468) - (sqrt(468) + 0 - sqrt(468)))*-2 - 4*-1*sqrt(468)) + (sqrt(468) - (sqrt(468) + sqrt(468) + 1)*1)*-6)*-5 + 2)**2.\nAnswer: 13440*sqrt(13) + 749584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - -0.64. Let f = -541\/7 - -77. What is the nearest to f in -3\/2, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 26 = v - 5*v, 2*r = -3*v - 9. Let s be 7 - (-1 + r - 4). Let q = s + 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/((36\/15)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691 + 1392 - 701 + 519*y.\nAnswer: 519*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 1 + 1 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/4 + 1210307*f**2\/4 + 366211363715*f\/4 + 366210153409\/4 = 0. What is f?\nAnswer: -605153, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(1\/7)*(g**8\/g)\/g)**20 assuming g is positive.\nAnswer: g**(1100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:49 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 4, g: 2, c: 1}. What is prob of picking 1 e and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 4*q + 39. Let g = -76 + q. Let y be ((-42)\/g + 1)\/((-11)\/(-132)). What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 2*o + 54, -1840 = -17*x - 117*x + 13*x - 21*x + 6*o for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30659852?\nAnswer: 2, 7664963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6)*((-33)\/9)\/11. What is the closest to -0.4 in s, 0.2, -0.041?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t. Suppose u + 3 - 5 = t. Solve 0*a + 5*w = a + 3, 0 = a + u*w + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 4*b + 4*b + (1 + 0 - 3)*(3*b - b - 3*b) + (-3*b + 5*b + b)*(2 - 4 - 2).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9*v + 10*v + 161 = 0, 3*v - 3 = 0. Let p be 4\/6*2619\/18. Let o = h + p. What is the remainder when 171 is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1248430 + 51?\nAnswer: -1248368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:50 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + (35 - 26 - -4 - 8) + -10 + -1?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 24*u**2 + 25*u**2 + 3 to y + x*u + i*u**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 35 + 13)*(1 - 2*o + 1 - 4).\nAnswer: -116*o - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((-75)\/350).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/3*(-93)\/(-2). Let w = v - 11533\/31. Is 0 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 8*k - 13155. Suppose -3*r + k = 3*z, -3*r + 2*z - 4*z + 2633 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34417.4762729 - 34138.47627. Let v = f + -279. What is v rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-4))\/((72\/8)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 6)*7795\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(119) + sqrt(119) + sqrt(119)*-1*-4)\/sqrt(7) + (sqrt(2448) + sqrt(2448) + 2 + 2)**2*6.\nAnswer: 1122*sqrt(17) + 58848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 18, s: 1}. What is prob of sequence see?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 2. Let h = 10 - 5. Suppose 0 = -r*w + 6*w + h*b - 35, 4*w - 5*b = 0. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*d*n*r - 81*d*n - 2*d*r + 41*d + 98*r wrt n.\nAnswer: 19*d*r - 81*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = u - 0, -2*t - 98 = -u - 92 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543358893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 3*q + 1. Let k be h(4). Suppose m + 1 = k. Let a = -3 + m. Let o(z) = 4*z - 1. What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 + 3*l**2 + 15*l + 37. What is y(-3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2524955 days in hours?\nAnswer: 6.059892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 4888 - 4908 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 3. Let f(r) = -r - 1. Let w(o) = -o**2 - 5. Let v(j) = -2*f(j) - w(j). Suppose n + 0*n = -25. Let h = n - -18. What is h*i(c) + 3*v(c)?\nAnswer: 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694317242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -2, -9, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 5*f + 54. Suppose 153 + 672 = 5*v. What is the greatest common divisor of f and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -10, 49, 5 in increasing order.\nAnswer: -10, 5, 20, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w - 5. Let a(x) = -7*x - 4. Suppose 14 = 2*b + 5*b. Let m be (b\/3)\/((-2)\/15). What is m*j(s) + 6*a(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*m**3 - a*m + 29*m**3 + 230*m**2 wrt m.\nAnswer: 12*a + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 107.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 22. Suppose 0 = -i - 5*t + w + 288, -5*i - t = -1595. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*c**2 + 2 + 6*c**3 + 2 - 4.\nAnswer: 6*c**3 + 143*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47628 by -18078.\nAnswer: 7938\/3013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.12 + 7. Let t = 0.12 + s. Let k be (-1 - -2) + 22\/(-14). What is the third smallest value in t, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -25, -5, 25, 65, 115, 175?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (139 - -1) + (-2)\/(-2). Let r = q + -64. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 + 0*s**2 + 0*s**5 + 0*s**6 - 57*s - 25\/7*s**7 - 26*s**3 + 0*s**4. Find the second derivative of d(m) wrt m.\nAnswer: -3000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/8 + l**3\/3 - 3*l**2\/2 + 8. Let u(v) be the second derivative of a(v). Let w be u(-1). Is -2 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 5*t**4\/8 - t**3\/6 + t**2 + t. Let q(m) be the first derivative of j(m). Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let p(z) = z**2 - 8*z - 13. Let i be p(21). Let f be (91\/i - 3\/5)*-28. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 5*p + 3)*(4*p**3 - 2*p**3 - 6*p**3).\nAnswer: -8*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -11) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39984 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7089, 15147, 25173, 38151, 55065, 76899, 104637, 139263?\nAnswer: 181761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((36\/16)\/3)\/(42\/28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -5*l. Let o be (-20)\/(-8) + (-2)\/l. Let f be (o - (-15)\/(-6))*-2. Let z(b) = -b**2 - b. Let y(m) = m**3 - m**2 - m. What is f*y(h) - z(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4 + 104*p**3 + 33*p - 31559 wrt p?\nAnswer: 4*p**3 + 312*p**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 126?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242933 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10513.2 + -150.60569\nAnswer: -10663.80569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-904)\/565)\/((-1)\/(-10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 343 = 5*u, -5*u + 6*u = -1. Suppose -10 = 4*m - d. Are m and 82 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 2*x - 2. Let k be h(1). Suppose 0 = -4*t + k*n + 36, 17 = 3*t + n + n. Suppose 22 = 8*g - t*g. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2368*c + 1 + 216*c - 6236*c.\nAnswer: -8388*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/11)\/f*f\/(f**(-6)\/f))\/((f*f**12*f*f)\/f**(-1)))**(-2\/33) assuming f is positive.\nAnswer: f**(64\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0659 - -55.1659. Let j = s + 6.3. What is j rounded to 0 dps?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 9*j = 58, 4*j = 20*o - 17*o + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.427861 and 47613?\nAnswer: 47613.427861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8 - (1093\/(-2) - -1). Suppose 413 = 8*t - y. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x + 12*x - 35*x - 2*x - 13*x. Let t(d) = -15*d. Determine t(r(b)).\nAnswer: 780*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**2 - 6 + 60*a + 3*a**3 + 24 + 3 + 15.\nAnswer: 3*(a + 1)*(a + 2)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21597 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11673 and 948107.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7332 - -7479. What is the remainder when z is divided by 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3091 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbabbpbbapabbbbb. What is prob of picking 3 b?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13711883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 1458*c**2 + 354294*c + 28697814.\nAnswer: 2*(c + 243)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -299, 4\/3, -10, -4\/9, -0.1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 5*d**2 - 26*d + 92. Let t be w(7). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*j + 3 = j, -g - j = 0. Suppose 9 = 3*r - g. Let b(k) = -k - 1. Let s(m) = 6*m + 6. Let u(n) = 5*b(n) + s(n). Give u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -60, 25, 3, -4 in ascending order.\nAnswer: -60, -4, 3, 25, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9893 - 9776. What is the least common multiple of 143 and s?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-1))\/((-33)\/165). Let r(d) = -d + 37. Let b be r(28). Solve -4*t = j + b, 4*j + 15 = -3*t + v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 665 + -475. Suppose -4*m - m + u = 0. Suppose m + 57 = 5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/6 + (-2)\/(-4). Let x = 7.8 + -8. Let r = x - 0.8. Which is the closest to r? (a) -2 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*a**3*u**3 + 3*a**3*u + 9*a**3 + 14*a*u**3 + 12*u + 1 wrt u.\nAnswer: -144*a**3*u + 84*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2407945*i*x**3 + 4146*i*x**2 - i + 2*x**3 - x**2 + 15 wrt x?\nAnswer: -14447670*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 51?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 15. Let f(z) = z**3 - z**2 + 3. Suppose 3*s + 3*p - 36 = 0, s + 4*p + 7 = 22. What is the remainder when f(m) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetett. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 43 + 12 + 4 + 12 + 2368*w.\nAnswer: 2368*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/150*7)\/(80\/(-575)) and 15\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -153, -249, -323, -369, -381, -353, -279?\n\"Answer: h**3 + 2*h**2 - 125*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (148\/185)\/((2\/1)\/10). What is the third derivative of -31 + 7*c**3 + 4*c**4 - 5*c**3 + c**v - 2*c**2 - 4*c**4 wrt c?\nAnswer: 24*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2842, 5710, 8614, 11554, 14530, 17542?\n\"Answer: 18*h**2 + 2814*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a - 2. Suppose 0 = -4*s + 1 - 5. Let v be k(s). Let x be 4\/22 - 102302\/v. Round x to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600) + -2*sqrt(2600)*-2)*-6)\/(((sqrt(10) + sqrt(30)\/sqrt(3))*-2 + sqrt(10))\/(5*(-2*sqrt(5) - sqrt(5)))).\nAnswer: -1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*m + 187*m - 523*m)*(-m - 6 + 6)*(-m**3 - 2*m**3 + m**3).\nAnswer: -264*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, -33, 38 in decreasing order.\nAnswer: 38, 4, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15435 and 27?\nAnswer: 46305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = u - 33 + 142, -5*y - 505 = 5*u. Sort -22, u, -3 in decreasing order.\nAnswer: -3, -22, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (6 + -2 + 1061). Let i be (-4)\/16 + (-339)\/q. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -7*s + 3070. Suppose 3*x - s = 3*y - y, -3*x + 310 = y. Let m = x - 87. Calculate the remainder when 59 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*t - 55703 = -97319 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489.000001862 + -489. What is f rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83301897*c**4 - 1009656?\nAnswer: 333207588*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2 - 42162*k + 548613 = 0.\nAnswer: -14067, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -426.498 and -0.025344145.\nAnswer: -426.523344145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-12 + -20) - 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1379 + 1375. Are 73 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:12 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579722 is divided by 37612.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 + 2c?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(700) - (0 + (0 + sqrt(700) - sqrt(700))**2)) + -4*(-1 + sqrt(700)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 - 4*w**2 - 18*w. Let p(t) = -20*t**3 - 11*t**2 - 55*t. Give 17*h(z) - 6*p(z).\nAnswer: z**3 - 2*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p - p**2 + 0*p**3 - 1\/24*p**4 + 0. Let z(a) = a**2 - a**2 - 4*a**2. What is z(l(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/9 - 182*a**4\/9 - 136*a**3\/3 + 11296*a**2\/9 + 65920*a\/9 + 11264 = 0. Calculate a.\nAnswer: -88, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.65 in 0.5, -3\/2, -3\/7, -375?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 + 6)*(i**2 + 2 - 2 + (-4*i + 3*i + 3*i)*(i + 3*i - 2*i) - i**2 + i - i) as m*i**2 + j + c*i and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) 12.52858\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -27. Calculate the remainder when 50 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8. Let h be t(-4). Let z(s) = -2*s + 2. Let x(r) = 2*r - 9. Let m(a) = -x(a) - 4*z(a). Let d(j) = 17*j + 2. Calculate h*m(i) - 3*d(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 141 = -98. Is 43 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2 - 16926*x - 6772.\nAnswer: 2*(x - 1693)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 7. Let w = -11.1 - h. What is the nearest to 0.1 in 2\/5, w, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8535, -17082, -25627, -34170, -42711, -51250, -59787?\nAnswer: -68322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**5 - 8984*g**3*q**3 - 16*g**2 - 3*g*q**3 + 4*g - 4*q**3 + 2*q**2 wrt g.\nAnswer: 840*g**2 - 53904*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - (13 + -113) - (0 - (-35 + -1 + 3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, 3\/19, -1967?\nAnswer: -1967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}