diff --git "a/data/dm_maths/full_data_1/1777_11255.jsonl" "b/data/dm_maths/full_data_1/1777_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1777_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 187 divide 285717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 66*b**2 - 9*b + 1. Let k be g(-2). Suppose -v - u = -k, -v - u + 571 = v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb896 (base 15) to base 2\nAnswer: -10010001011111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 + 3*i + 6. Let t be a(5). Let l(p) = p - 1. What is l(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -842*g**4 - 2*g**3 - 352?\nAnswer: -3368*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833247, -833203, -833073, -832815, -832387, -831747, -830853, -829663?\nAnswer: -828135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29805 + -29800. Calculate the remainder when 10403 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 34 = 17. Let v be (-11)\/3 + 3\/(-9). Let c(h) = -2*h**3 - 3*h - 5. Let o(w) = 2*w**3 + 4*w + 6. What is g*o(n) + v*c(n)?\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 4:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 + -0.043978481.\nAnswer: 55.956021519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560 is divided by 425?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:17 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/(51*(-24)\/1088)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 9:18 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 12. Let c be x(-8). Suppose -c = t + 136. Let z = 321 + t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = 3*r - 11, -3*r - 3*q = -6. Let y = r - -2. Suppose 13*s - 19 - y = 0. Solve -4*x - 8 = i - 3, 2*x + 10 = -s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286032 by 404.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 30*s**4 + 42*s**3 - 96*s**2 - 39*s + 66 = 0.\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.002.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(-44)\/572 - (-16 - -1*1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21989721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 5\/1) + -1. Sort d, 1, 12.\nAnswer: d, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 89 = 88*v. What is the nearest to v in -3, -144, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 8*a**2 + 11*a - 7. Let d be m(-8). Is (0 - 2)*-1 - d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617617 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/18 + 1 + -6*(-20)\/36?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8607275, -8607265, -8607255, -8607245?\n\"Answer: 10*i - 8607285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s - 2. Let b(h) = 47*h + 4. Let j(r) = 3*b(r) + 5*k(r). Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -5.04. Let i = -387.857 + -0.143. Let b = i - -391. Are b and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 - 27*c**3 - 54*c**2 + 432*c = 0.\nAnswer: -24, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**3*s*w + 87*q**3*s - q**3 - 1876*s*w wrt w.\nAnswer: 2*q**3*s - 1876*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 39, 41, 43, 45, 47?\n\"Answer: 2*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/7 + 2928*j\/7 + 2925\/7 = 0.\nAnswer: -975, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28496 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35476 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q + 20*q - 7*q**2 + 1 + (-3*q**2 + 2*q - 2*q)*(-2 + 2 - 1) to the form k + o*q**2 + y*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625660 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-3))\/((-1)\/(-3)). Let w = q + -11. Solve -a + 3*b - 14 = 5, 0 = -w*a - 3*b - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9323533 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q + 140 = -66*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9188.5 + 9189. Sort -1, n, 3\/7, -1\/3, 1 in decreasing order.\nAnswer: 1, n, 3\/7, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103949 minus 0.00191?\nAnswer: -103949.00191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -79. Let q(s) be the first derivative of s**4\/4 + 7*s**3\/3 + 5*s**2\/2 - 6*s + 2. Calculate the remainder when l is divided by q(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 86 - 474 = 0. Suppose o = 3*s + i, 85 - 4 = 3*s - 3*i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 11*s + 7. Let a be p(-5). Suppose 0*j - 240 = -5*j - 4*o, a*o = 4*j - 192. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 268*o - 2408. Let d be m(9). Factor 0 + 0*b + 0*b**2 - 2\/5*b**d + 0*b**3 - 4\/5*b**5.\nAnswer: -2*b**4*(2*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 0, -9, -38, -93?\n\"Answer: -s**3 - s**2 + 15*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/((sqrt(9) + sqrt(9)*-2)*-5) + 2 - ((sqrt(324)*-4)\/(sqrt(12) + (sqrt(192)*-3 - sqrt(12))))**2)*-4.\nAnswer: -4*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1056)\/(-1089)*(-54)\/8. Which is smaller: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {w: 10, m: 2, o: 2}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3080*d - 143364 - 72236 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/3, -2\/17, 35, 1 in ascending order.\nAnswer: -2\/17, 0.3, 2\/3, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q + 1. Suppose -o = q*o - 20. Calculate the common denominator of -85\/8 and -1 + (-14)\/o + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21520809.2 take away 1341?\nAnswer: -21522150.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679.118 millennia to centuries.\nAnswer: 6791.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-11)\/(-3). Suppose g = t*g + 2*y - 28, -5*g + 62 = 3*y. Solve h - 2*p - 17 = -2*h, -5*p - g = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/3))**(13\/6))**47 assuming x is positive.\nAnswer: x**(1222\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/11 + 26*r\/11 = 0?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103957 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 116*t + 1097. What is the hundreds digit of p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ff (base 16) to base 3\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101292 + -1587?\nAnswer: 99705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/43 (b) -1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.35 (b) -5 (c) 6\/12727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -70*a**3 - 245*a**2 + 245*a + 245. Let p(f) = f**2 - f - 1. Calculate 1225*p(x) + 5*y(x).\nAnswer: -350*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 959, 644, 331, 20, -289, -596, -901?\n\"Answer: c**2 - 318*c + 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 1020, 2431, 4606, 7665, 11728, 16915?\nAnswer: 23346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7346 = -2*s, 3*c - 4*s = 2*c + 1841. Suppose 0 = -x - 29 - 8. Let v = x + c. Round v to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4981, -4974, -4967, -4960?\n\"Answer: 7*g - 4988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/12 + 4\/(-1))*45. Which is the fifth biggest value? (a) 0.4 (b) -0.1 (c) -1\/4 (d) -1 (e) k\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5080481?\nAnswer: 7, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -527, -777, -949, -1043?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6778 - -7314. Solve -s*h + 539*h = 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3 + 3 + (-15 + 4 - 21)*(3 + 1 + 0)*(-4 - 3*v + 4).\nAnswer: 387*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -2046000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -38*a + 5. Let v(c) = -15*c + 2. Let l(k) = 4*i(k) - 10*v(k). Let t(n) = 13*n**2. What is l(t(f))?\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 82*o**2 + 651*o - 3. What is w(11)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 104027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4) - (-1)\/2. Let u(v) = -v + 5. Let j be u(11). Let s be (-1)\/(-2)*36\/j. Which is the closest to s? (a) 0 (b) -1\/8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 674 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371*s**3 + 2602 wrt s.\nAnswer: -1113*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2406 + 2440. Suppose 0 = 4*y - 4*w - 44, -4*y + 2*w - 12 + 52 = 0. What is the remainder when c is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 8*g**3 - 97399*g**2 + 97399*g**2)*(6 + 1 + 1).\nAnswer: 64*g**3 - 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, 38, -4, -713\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 7*x = -81, 41*q - 44*q + 5*x = 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 2. Let h be q(2). Suppose 4*r + n - h = 0, -30 = -5*n - 10. What is the derivative of -5*d**4 - 8*d**r + 5*d**4 - 5 - 12*d**4 wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 55.67. Let v = 0.329886 - n. Round v to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 26 = -22*c - 8*d, -2*c + 4*d + 8 = 0. Let z(j) = -5*j - 5. Calculate z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5 + 55*k**4 + 207*k**3 + 149*k**2 - 208*k - 204 = 0. What is k?\nAnswer: -51, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) 23 (d) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 4. Let o be a(-3). Let l(j) = j**2 + 4*j + 3. Let y be l(o). Solve y = -i - 4*d - 1, -15 = 2*i + d - 6*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22671 = -5867. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392358698*g**2 + 6619*g - 7580?\nAnswer: 784717396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 112, 430, 1084, 2194, 3880, 6262, 9460?\nAnswer: 13594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 50, 115, 216, 359, 550, 795?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v + 105. Let x be w(-10). Solve 5*f - 13 = 3*n, -4*f - 15 = -9*f + x*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7436 + 14241. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:44 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3675 and 795?\nAnswer: 194775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 801 and 1869?\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/10 + n**4\/12 + 19*n**3\/6 - n**2 - 24*n - 5. What is the second derivative of c(u) wrt u?\nAnswer: -12*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308676877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 20*l + 95. Let n be p(7). What is the fourth smallest value in 1, -0.5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 488, 734, 982, 1232?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 1556?\nAnswer: -151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -408863, -1635444, -3679743, -6541760, -10221495?\n\"Answer: -408859*b**2 - 4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905220701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 207*u = -93*u + 2128 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -173\/2. Sort 22, 0, a, 3\/4 in ascending order.\nAnswer: 0, a, 3\/4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-35)\/(-6))\/((-325)\/(-195))*(-6)\/(-7). Sort -7, 59, s, -4, -1 in descending order.\nAnswer: 59, s, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17602 and -0.4.\nAnswer: -7040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10690 - 770 = 573*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31234344 (base 5) to base 14.\nAnswer: -6a404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-33)*o**(6\/5)\/o assuming o is positive.\nAnswer: o**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 21 = -3*k, -2*k + 4*p = -26 + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1303361\/418 + -9188\/11. Let a = 2285 - q. What is the common denominator of (5\/(-10))\/(35\/126) and a?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5. Let j be ((-4)\/3)\/(k\/(-3)). Let l be (6\/15)\/(108\/(-360)). Is l at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 2688?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w + 44 = 4*a, -3*w - 18 = -a. Let f = 41 + a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1. Let c(k) be the third derivative of k**3 + 17*k**2. Let i(f) = -c(f) + 5*w(f). Let a(g) = g + 2. What is a(h) + 2*i(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:06 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*q + 29 = 5*w, 0 = 4*w - 2*q - 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:43 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152706 is divided by 47768?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.186 - 66.954. Let o = -85.013 - b. Let t = -0.127 + o. Which is smaller: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-40)*90\/234\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2836, 2863, 2890, 2917, 2944?\n\"Answer: 27*i + 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 + 674*c**3 - 9710*c**2 + 41278*c - 49140 = 0?\nAnswer: -351, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2 + q**2 - q**3 - 7*q**2 - q**3 + 3*q**3. Calculate the lowest common multiple of l(6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.08\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 213446.1 milligrams in grams?\nAnswer: 213.4461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328 - 3*c**3 - 328 - 4*c**4 - 5*c - 2*c**2 to x*c**4 + y*c**3 + v*c**2 + k*c + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -151, -598, -1365, -2470, -3931, -5766, -7993, -10630?\n\"Answer: -3*w**3 - 142*w**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Suppose s*d = 2*r + 16, -4*d + r + 23 = -0*r. Let n = -1667 + 1662. Put -4, 2, n, d in decreasing order.\nAnswer: d, 2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17308788, 17308812, 17308836, 17308860, 17308884?\n\"Answer: 24*z + 17308764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225693 and 78813?\nAnswer: 658797867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.9 take away 417191818?\nAnswer: -417191876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2429*m - 2637*m + 2 to the form d*m + n and give d.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -341 + 341 - (4 + (4 - 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101 + -1011011100110?\nAnswer: -1011101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 - 10*o**2 + 11*o**2 to the form b*o + z + q*o**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -173938752 divided by 9396?\nAnswer: -18512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w - 3. Let b be p(1). Let y = 11 - b. Suppose -39 - 2909 = -y*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**29 assuming p is positive.\nAnswer: p**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4 (c) 123110431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15679\/2 + 7823. Let y = 21\/11 + 677\/66. What is the common denominator of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l - 850. Let u be b(34). Determine w so that -12\/5*w + u - 3\/5*w**3 - 12\/5*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 35*a**2 - a - 10. Let w be q(-7). Let c = w - 1198. Suppose k + c = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let c(k) = 4*k**2 + 2*k - 1. Let z(s) = c(s) + 2*q(s). Suppose 5*a - 3 = 2. What is the units digit of z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 13*t**5\/12 + 95*t**4\/24 + 5*t**3 - 15*t**2. Factor o(p).\nAnswer: 5*(p + 1)*(13*p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5 - 3. Suppose -5*j + 16 = -b*w, 0*j + 5*w = -2*j + 18. Suppose -d + j*d = -9000. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34152532451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 486 + 108. Let g be (-2)\/9 - (-44)\/a. Solve -7 = -3*i + q, 4*i - 5*q - 18 - 6 = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2017*u**4 + 0 - 2 + 2040*u**4)*(-25 - 3 + 12) + 0*u**4 + 2*u**4 - 3*u - 3*u**4 in the form t*u + j + g*u**3 + v*u**4 + o*u**2 and give v.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 29*m. Let s be i(1). Let d = s - 31. Let y(b) = -3*b**3 + b**2 + b. What are the prime factors of y(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 - 345 = 13*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291127492 plus 0.399?\nAnswer: 291127492.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -52 - 42*m + 208 - 57 - 48 - 52. Let i(w) = 6*w. Give j(i(n)).\nAnswer: -252*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 47 = -61. Let w = q + 16. Is 26 a factor of (-134)\/w - (0 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 166 - 66. Suppose 0 = -5*y - 3*g + 7*g + 100, -y + m = -g. Calculate the least common multiple of 28 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*u - 6, 0 = -47*k + 50*k - 5*u + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-4*i + 4*i - i) - 2*i + 0*i + 3*i - i + 5*i + 252 - 246.\nAnswer: 6*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**3 - 2*r - 3. Let i(d) = -2 + 7*d**3 - 52*d**2 + 52*d**2 + d + 4. Calculate -5*c(g) - 8*i(g).\nAnswer: -g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2454 and 543972?\nAnswer: 222484548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -6.239311583811.\nAnswer: -2.239311583811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/64 - (-2 + 0). Let c(x) be the first derivative of -3 + 0*x**2 + 0*x - 8\/5*x**5 + v*x**4 + 7\/12*x**6 - 1\/3*x**3. Determine u so that c(u) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -35 - (30 + 9) - -17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 16*l + 1. Let h(n) = n**2 + 16*n. Let u(f) = -3*h(f) - 4*z(f). Is u(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-12))\/((6630\/(-130))\/102)?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 761, 760, 759?\n\"Answer: -k + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -5)\/(0 + 4). Let v = -16 + 21. Suppose -m = -v*m. Which is the nearest to 0.1? (a) -4 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 41*q**3\/5 + 477*q**2\/5 + 1159*q\/5 + 722\/5.\nAnswer: (q + 1)*(q + 2)*(q + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f - 2*f)*(73 - 37 - 14*f - 39) in the form d + b*f + v*f**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 742 + -741. Let n(r) be the second derivative of r**3\/6 - r**2\/2 - r. Let o(t) = 2. What is u*n(l) + o(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4875 = -5*h, -5*h + 3205 = -5*w - 1700. Round h to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 5. Let c be (-3)\/x + (-6)\/(-4). Let v = 8 + -5. Solve b + v = c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170415.\nAnswer: 5, 234083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4506230 divided by 60895\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2783 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4534*(7\/2)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 40.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76017*x**4 + 3*x**3 - x**2 + 3037*x + 6 wrt x?\nAnswer: 1824408*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 75*p + 2115. What is s(-34)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1188, 2358, 3526, 4692?\n\"Answer: -f**2 + 1173*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cicc when four letters picked without replacement from {c: 12, i: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 67. Solve -p = -4*l + 2*d, 0 = 3*l - 6*l + d + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 - 13. Let z be 21\/(-14)*18\/(-3). Let v be ((-78)\/z)\/(6\/(-9)). Calculate the greatest common factor of v and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)\/(c*c**(1\/7)))\/(c**0*c*c)**7 assuming c is positive.\nAnswer: c**(-346\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-8 - -11) + 6) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/((-312)\/64) - (-9047 + -1) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooyoyoyoy?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 664*m + 32544. Determine f(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 - b - 7. Let d be z(4). Let f(x) = x**3 + 10*x**2 - 10*x + 10. Let n be f(d). Is n\/(-3) - 320\/(-12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:14 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6831.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*((-108)\/14 + 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r = 8, 0*r + 3*r + 12 = -5*f. Let o(u) = u**2 - 5*u - 4. Let l be o(6). Solve -5*b + f = 5*y - 35, -l*b + 4*y = 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*342\/570?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2) - 5\/((-350)\/(-1255)). Let w = n - -1000\/63. Which is the second smallest value? (a) -1\/5 (b) 11\/6 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17 + 24*c**2 - 18*c + 16*c**2 - 57*c**2 + 49*c**3 + 18*c**2. Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 - 198*m - 426. Is 261 a factor of u(102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfjc when four letters picked without replacement from {j: 3, k: 4, c: 2, d: 1, f: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b + 5. Let i be r(-6). What is the units digit of i\/(-3) + (-8)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 264?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*7.1\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-1\/5)\/k*k*k*k))\/k)\/k**(1\/6))\/(k**0)**(-3\/46))\/(k*k**(-2\/15)\/k*k**(-5)*k\/(k**(1\/5)\/k*k)*k*k\/(k\/k**5)) assuming k is positive.\nAnswer: k**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.46 in -1\/4, 2, -2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 1765*g**2 - 57605*g + 59365.\nAnswer: 5*(g - 383)*(g - 1)*(g + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 321 in 0.5, -5\/3, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 12, q: 6}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4760 - -6777. Let u = w - 1344. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b**3*n - b**3 + 7*b**2*n - 6*b*n - 12919482*b + 4022*n + 2 wrt n.\nAnswer: 10*b**3 + 7*b**2 - 6*b + 4022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - 2*f. Let y(o) = -86*o**3 - 8*o**2 - 109*o. Let c(i) = 24*v(i) - 3*y(i). What is the second derivative of c(a) wrt a?\nAnswer: 1692*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1046*f. Let s(d) = 4*d - 1. Let m(h) = -11*h + 3. Let c(g) = m(g) + 3*s(g). What is q(c(w))?\nAnswer: -1046*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/915 and -101\/6222.\nAnswer: 31110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/19 + 20*t\/19 + 112\/19.\nAnswer: -2*(t - 14)*(t + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 569589463?\nAnswer: -569589463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h - 6. Suppose -34*n + 31*n + 306 = 0. Calculate the remainder when n is divided by y(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - 15) + -10 + 17 + -22 + 51.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*o + 1900, -2*n + 1429 = n - 5*o. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -4\/3*m**2 - 61\/90*m**5 - 3*m + 61\/54*m**4 - 1\/63*m**7 - 8\/27*m**3 + 23\/135*m**6 + 0. What is t in p(t) = 0?\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954424 to the power of 1\/2, to the nearest integer?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169888990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 + 2*g + 8. Let l be a(-4). Let x be -1 + 5 + 2 + l. Let o be (1 + (-6)\/4)*-24. What is the greatest common divisor of x and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 113040?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.097 - -4.903. Which is the second biggest value? (a) 0 (b) l (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/27)\/(-2))\/(1\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20827146?\nAnswer: 104135730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 104 = -3*o. Let t(m) = -17 - 520*m + 0*m**2 + 527*m + m**2. Let y be t(-11). What is the greatest common divisor of y and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 8*w**2 - 4*w + 9. Determine c(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 2. Let b = c + 0. Let y = 2289 - 2293. What is the nearest to y in b, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2 and 31\/286118.\nAnswer: 286118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 6*q**2 + 3*q - 2. Let w(t) = -2*t**3 - 17*t**2 + 8*t - 6. Let v(x) = -8*g(x) + 3*w(x). Calculate v(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -0.4, 1, -0.438?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 + -67. Let m be (-4)\/(-22) - (h\/11 + -4). Is -13 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/17, -1, -2, 9, -354?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 4, j: 1, h: 1}. Give prob of sequence rg.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -101. Suppose 7*z + 3*y - 19248 = 4*z, m*z - 25659 = -5*y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*w**3 - 2035*w**2 - 680*w - 60 = 0. What is w?\nAnswer: -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = -4. Which is the nearest to -1? (a) 2\/13 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a + 2*a + 3*a)*(-322404 - 2494*a + 322404) + (0 + a + 0)*(1 - 1 - 2*a) + a**2 - 4*a**2 + 2*a**2 in the form q*a + b + k*a**2 and give k.\nAnswer: -22449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/18*1*8\/(-20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.79 + 380.\nAnswer: 377.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j - 2*h + 8, -12 = -3*j - 2*h. Suppose 16 = i + 3*p + j, 4*i = -4*p + 24. What is the common denominator of 7\/8 and i\/(-18) - (-980)\/(-231)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -11. Let t(w) = w - 10. What is the smallest common multiple of t(13) and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -995.83 - -0.19.\nAnswer: -995.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8 - 8. Suppose -5*z - 4*p - 27 = 0, 0 = 4*z - p + 46 - m. Let j = z + 12. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(4 + 2 - 4 + (-4 + 4 + 1)*(3 + 4 - 5)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 428694\/5166 - (-35)\/5.\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148104961.\nAnswer: 431, 343631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/7 + 7718*c**2\/7 - 15433*c\/7 + 7716\/7 = 0.\nAnswer: 1, 7716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f + 0*f + 0*f)*(2 - 2 - 4) + f - f + 3*f)*(31*f - 579 + 579).\nAnswer: -279*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 - 4) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 81 = 0. Let u = 23 + i. Let k = u - 27. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 20. Suppose s*j = 1055 + 1003. Suppose -6*f = f - j. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -976390?\nAnswer: 488195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) + (-2)\/6. Let j be (-5)\/((-1848)\/(-232) - 8). Let h = -1597\/11 + j. What is the closest to l in h, -14, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -430?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -124.5. Let m be 783\/(-189) + 9\/3. Put j, -8, m in decreasing order.\nAnswer: j, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883556.1*-7\nAnswer: -6184892.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163225732 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 467?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -218 + 244 + (-15 - -65)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 3378.888?\nAnswer: 3378.888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 528017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o - 263*o**4 + 27*o**2 - 79*o**5 + 263*o**4 - 3*o**3 - 2*o + 4*o wrt o?\nAnswer: -4740*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o**2 + 4*o**2)*(152*o + 94*o**3 - 115*o**3 + 15*o**3).\nAnswer: -18*o**5 + 456*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 551*r**3 + r**2 - 2*r**2 + 0.\nAnswer: -551*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 42769*s - s**4 + 5*s**3 - 4*s**3 + 42707*s - 1 to the form q + m*s + d*s**4 + k*s**2 + j*s**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -11\/2*p**2 + 0*p + 7 - 4\/3*p**3. What is the second derivative of o(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = j - 3*j. Find the common denominator of -91\/2 and (162\/(-20))\/((-36)\/j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880471539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/7)\/8*0. Solve -2*k - 21 + 1 = -4*b, l = -2*b + 3*k + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-10))\/(10\/(-225)). Let x(q) = -q + 19 - 37 + i. Let j(l) = 16*l**2. What is x(j(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 62217158 - -7.7\nAnswer: 62217165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/3 + 3*s**2\/2 - 2. Find the second derivative of k(n) wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yijj when four letters picked without replacement from {a: 2, y: 2, s: 1, j: 2, i: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25878.2 and -0.3?\nAnswer: 7763.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**6\/144 + h**5\/15 + h**4\/12 + 7*h. Let m(p) be the third derivative of a(p). Differentiate m(s) with respect to s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10190, -10186, -10180, -10172, -10162, -10150, -10136?\nAnswer: -10120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -198 and 9.2?\nAnswer: -1821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2\/5))\/h**(-1\/2))\/(h**2)**49)\/(h**(-3\/2)\/(h*h**(-4\/9)))**(-4) assuming h is positive.\nAnswer: h**(-9389\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a - 20. Let n(h) = -2*h - 7. Let c(y) = -4*b(y) + 11*n(y). Let v(t) = -7*t + 11. Determine 22*c(o) - 6*v(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + t - 0, 0 = -5*d - 2*t + 27. Suppose 1460 = 2*b + 3*b + d*s, -s + 5 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 - 3479 + 3437 - m**4 + 2*m - 4*m in the form b*m**2 + l + y*m**4 + q*m**3 + c*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-27)\/12420*-23?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba + 8?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -39984.8\nAnswer: -2479057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {o: 1, k: 1, f: 1, s: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.991 less than -254598057850?\nAnswer: -254598057849.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 81 = -2*k - 3*l, 0 = -3*k + 3*l + 66. Let i be 7\/(-3) - 14\/k. Suppose 0 = 5*j - 5*f - 10, -1 = -3*j - 5*f - 27. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggtgtggtggggg. What is prob of picking 2 t and 1 g?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -116984202.\nAnswer: 2\/58492101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033411 + 4?\nAnswer: -1033402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 - 2 = 0. Let b = k + -4. Is 319\/((-2)\/(1 - (2 - b))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3035*i + 1011*i - 947*i = -2324*i - 645337 for i.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 5, 15370, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46957 is divided by 885.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**7\/210 - p**6\/60 + p**5\/60 + 4*p**2. Suppose i(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 50*-23 - 0\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + -19) - (-10 + 34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*b + 42*b + 8*b + 616 to the form u + j*b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m - 121. Let k be j(14). Calculate the highest common factor of 31 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -76748 and -76745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239656 is divided by 206600?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpp when three letters picked without replacement from {p: 9, v: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*l - 45 = 0, -25*y - l + 1309 - 1429 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30934517 a multiple of 3507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82284.17 millennia to months.\nAnswer: 987410040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzzz when four letters picked without replacement from {z: 4, y: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/6 + 1611*d**2 + 585905*d\/6 = 0.\nAnswer: -9605, -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 464 - 129973?\nAnswer: -12950a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p**2 - 455*p + 22466. What is q(24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*k + 28, 3*k = -3*l + 2*l - 16. Let t(y) = -3*y + 5. Let u(n) = -n + 2. What is l*t(i) + 9*u(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 44451024?\nAnswer: 1\/14817008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) + (-4)\/16. Put -2\/13, 0.1, u in descending order.\nAnswer: 0.1, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 12, 0.33059?\nAnswer: 0.33059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5705*-5\nAnswer: -7.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - z**5 + 0*z**5 + (2*z - 7*z + 3*z)*(3*z**3 - 3*z**3 + z**4) + 2*z**5 - 18*z**5 - 13*z**5.\nAnswer: -32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64912676 and 1107?\nAnswer: 1752642252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18214497 and 249436.\nAnswer: 801437868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/33 - 89\/99. Let f = -23\/18 - n. Suppose -5*x = 11 + 4, 18 = -2*p - 4*x. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3025 + -66571\/22. Find the common denominator of ((-2)\/10*-11)\/((-900)\/(-250)) and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -894439*u + 2683767?\nAnswer: -894439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223.\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f*f**15)\/f*f*(f*f\/f**(2\/25)*f)\/f*(f*(f*f**(2\/7))\/f)**(-28\/9) assuming f is positive.\nAnswer: f**(398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:17 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 + 1. Let h(x) = -978 + 978 - 2*x**2 - x**2. Give s(h(z)).\nAnswer: -36*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 613 + -12257\/20. Let p(j) be the second derivative of 0*j**3 + r*j**5 + 2*j**2 + 0*j**4 + 0 - 3*j. What is the first derivative of p(y) wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -1\/3 (d) 7\/346 (e) -5\/2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 + 3 = 0. Suppose -y*b = 3*q - 292, 0 = 4*q - q + 4*b - 287. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + 1.09. Let k = h + -0.9. Let t = k - -5.6. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Solve m = -0*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 - 5667*y**3\/4 - 18379*y**2 - 19767*y + 124388 = 0.\nAnswer: -5654, -11, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952249838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -17984 + 4509. Let l be 104271\/(-54) + (-8)\/36. Let a = l - h. Calculate the common denominator of -37\/13 and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 168 - 2484. List the prime factors of j.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159.7 + -3.7. Let y = o - 103. Let l = 58 - y. Which is the third smallest value? (a) l (b) 1\/2 (c) -2\/19 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003532043 rounded to 6 decimal places?\nAnswer: -0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12271\/10 + 6138\/5. Sort -2\/129, 13, s in decreasing order.\nAnswer: 13, s, -2\/129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 30. Let i = r + 34. What is the closest to -3 in 9, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((-3)\/(-18)*104\/(-52))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*a = 70, -34 = -0*n - n + 3*a. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10632585 divided by 25.\nAnswer: -2126517\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*((sqrt(44) - (0 + sqrt(44)))*-1 - sqrt(44))*-4*-3 + -2)**2.\nAnswer: -768*sqrt(11) + 405508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/3)\/h)**(-42) assuming h is positive.\nAnswer: h**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -13*a**6\/120 + 19*a**5\/60 + 5*a**2. What is the third derivative of g(q) wrt q?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -5013?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23077*h**2 + 11 - 10733*h**2 - 11.\nAnswer: -33810*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 698244497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99836795.000628 + 99837079. Let k = -284 + t. Round k to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211.9551 - -0.0449. Let m = -86 + h. Let v = m + -131. What is the third biggest value in 0.5, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:44 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 560*q**2 - 6504*q - 19296.\nAnswer: -2*(q + 6)**2*(q + 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/27, 10, 2.9, 3\/7, -4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 142220?\nAnswer: -142224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxujguc. Give prob of sequence ug.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-50)*30\/6*-5. Suppose 0 = 3*m + 5*p - 9 - 6, 4*m - 20 = 4*p. Let h be 1\/(2 - (-5)\/(-2)). Sort h, m, i in ascending order.\nAnswer: h, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n*o*q + n*q**3 + n*q**2 - 2*o*q**2 + 8*o*q + 658*q**2 - 61*q wrt q.\nAnswer: 6*n*q + 2*n - 4*o + 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 11) to base 6\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*s - 12. Suppose 0 = -5*j - s*t + 440, -4*t - 491 = -5*j - 51. Suppose 0*o - 24 = -3*o. Calculate the highest common factor of o and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p + 550 = 59*p - 22*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**3 + 2*b**2 - 7*b. Let x(v) = -11*v**3 - 2*v**2 + 8*v. Let l be (1 + -8)\/(17\/(-17)). Let p(c) = l*m(c) + 6*x(c). Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37806 divided by 12602?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -0*b + 8. Solve 3*g - 2 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -795.5 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 34154*q\/15 + 11384\/15.\nAnswer: 2*(q + 5692)*(3*q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9209502 to the nearest integer?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14.4 + -97895525\nAnswer: -97895510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1280)\/(-60)*(-609)\/(-139664).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 20 + (8 - (9 + 118))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(720) + -4).\nAnswer: -72*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*j - 1 = -0*j + 3*j + 5*v, -v - 179 = -59*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.87752475 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22998153 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-718375)\/(-155169))\/((100\/(-24))\/5)?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 350388499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 810 - 805. Suppose -2*f - 5*n = -5*f - 330, 0 = -5*f - n - 522. Let y be 2\/4 - f\/(-30). Which is the nearest to -2\/3? (a) y (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2397 + 2396.9. Are 1271 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-10 - (6 + -8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11558037, 11558036, 11558035?\nAnswer: 11558034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (568*s - 828*s + 413*s)*(-2 + 3 - 3).\nAnswer: -306*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9064*d**5*x**3 - 2401*d**5 - 5*d*x**3 + 1650485*d*x**2 + 2*x**3 wrt d?\nAnswer: -181280*d**3*x**3 - 48020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/2 - 20. Determine o, given that -t - 1\/4*o**2 + 3\/4*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.3 and 0.1.\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-5))\/(8\/(-120)*6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/45)\/(-2)*(-1)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -640 or -11?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897841407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0229 take away 1?\nAnswer: -1.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 12:21 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103639 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*b + 12494 = 5020 - 12046 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:37 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8857, -20753, -32647, -44539, -56429, -68317?\n\"Answer: j**2 - 11899*j + 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)\/((-1)\/(-3)). Suppose -3*u - 3*g + 63 = -0*u, -v*u + 83 = -2*g. Suppose 0 = 2*f + 3*f - u. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(567)*2 + -3 - sqrt(567)) + sqrt(567))*2*3)**2 + (4*3*-4*(sqrt(567) + sqrt(567) + 0))**2).\nAnswer: -23328*sqrt(7) + 31844664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -180886*j + 1490. Let i(t) = -1945*t + 16. Calculate 745*i(p) - 8*x(p).\nAnswer: -1937*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, 0.5, -0.10156?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4*w - 26. Calculate d(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1627020 and 70380.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231 - -305. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**4 + 32*w**4 + 159*w**2 - 139*w**2)*(-7 + 5 - 10).\nAnswer: -312*w**4 - 240*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 135 = 18*o. Suppose -3*q = -5 - 37. Let u = q + -10. Solve -4*a - 32 = u*h, 4*a - 3*h + o = 2*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = 3*o. Let d be 9\/o*(5 + -4). Suppose -d*i + 3\/2*i**3 + 3\/2*i**4 - 3\/2*i**2 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.055 + 0.555. What is the biggest value in 0.13, j, -2\/3, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-228)\/(-30) + -8 + (-17)\/45. Let b = 436\/549 + t. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13324349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 16*g + 4*g. Solve g = -72*m + 27*m + 360 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**2 + 140*w + 70. What is u(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -0.2, 1\/15, 0?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321176521?\nAnswer: 3, 269, 2876303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.24 - 0.24. Let k = -9 + o. Let q = -10 - k. Which is smaller: -1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/15)\/(l\/(l*(l**(-30)*l)\/l)))**(5\/2) assuming l is positive.\nAnswer: l**(-451\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -l + 2*u + 2, u + 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/12 + 1 + ((-11)\/6 - -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 736 and 12328?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-28)\/(-210))\/(4\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3596 + 2.2596. Let b = -10 - -6. Put 4\/5, w, b, 0 in increasing order.\nAnswer: b, w, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 26*n - 22*n, -4 = -4*n - 4*x. Let s(p) = -p**2 - 2 + 0*p**2 + 1 - 3*p. Calculate s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20465640795 - 0.506.\nAnswer: -20465640795.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogzazjsozsaszza. What is prob of picking 1 j, 1 g, and 2 z?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + p - 36 = 0, 5*s - 5*p + 60 = -35. Let c be 2 - ((-36)\/s + -2 + 2). Let l = -1 - -1. Sort c, 0.3, l in decreasing order.\nAnswer: 0.3, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6683421?\nAnswer: 3, 19, 37, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7504.9374 + 7504. Let q = o - -1.186. Let w = q + -0.201. Round w to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*q - 222*q = -468 + 8523 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6 - 1 - q**3 - 5*q - 9. Does 16 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.23 and 192522380.4.\nAnswer: 192522380.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -59\/33?\nAnswer: -59\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1327 in 4, 5, -0.4, -0.04, -50?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 11271*v = -11276*v - 267, 2*v = -108 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 11*t**2 - 79*t + 32. Let n be m(-16). Solve 2*p = -r - 4, 6*p - 3*p + n = -4*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128454 times -0.49\nAnswer: 62942.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h + 75 = -156*h. What is the common denominator of 31\/22 and (h\/110 - -1)\/(2\/(-2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626720081.\nAnswer: 13, 2549, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -14. Let x = -614303\/47 - -13071. Let k = x + -76\/235. Which is the closest to u? (a) 5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + i + 366578, 4*x - 580*i = -579*i + 1466327. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-9))\/(13\/351*9). Let i(a) = -a**3 - 4*a**2 + 3*a - 6. Let z be i(-5). Let r be z\/(-6)*6\/4. What is the nearest to r in 1, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.06 and -0.07.\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -7, 0.1, -15\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197 - 7?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 18*h + 2834. Let k = -60 - h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 603*w**2 - 32 + 12 + 18 + 810*w**2 + 963*w**2 to the form h + y*w**2 + s*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3910 and 43\/609040.\nAnswer: 10353680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*669\/(-223)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005053479 rounded to seven dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 4839*c - 332856.\nAnswer: -3*(c + 72)*(c + 1541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92034557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -48*i - 139, 5*i + 40 = -3*a + 8*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5620 - 4537. Calculate the lowest common multiple of 4 and m.\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 + 6*d + 7. Let g be v(-5). Suppose -2*x + g = 0, 4*i + 5*x - 3 - 10 = 0. Suppose 5*n = i*n. Solve 5*z - 16 + 1 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.250631, 266\/3, 4?\nAnswer: -0.250631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, y: 10}. What is prob of picking 2 y?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2983209, 2983210, 2983211, 2983212, 2983213?\n\"Answer: u + 2983208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**2 + 0*c**3 + 0*c**5 - 5\/6*c**6 + 0*c + 0*c**4 - 3. Find the second derivative of p(x) wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:04 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 6*c - 10. Let x(i) be the first derivative of i**3\/3 + i**2 - 3*i + 177. Calculate -4*k(g) + 14*x(g).\nAnswer: -2*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157802 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - 3*y)*(-3 + 4*y + 3)*((2*y - 4*y + 4*y)*(5 - 2 - 2) + 2*y - 6*y + 3*y + y - 2 + 2 + 4*y + 1 - 1).\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 246*v**2 - 252*v - 496.\nAnswer: 2*(v - 2)*(v + 1)*(v + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -318 - 73*y**3 + 318 - 4*y + 4*y + 3*y**3 + y**3 + 0*y**3 - 3*y**3 + (-4*y + 6*y - 4*y)*(2*y**2 + 2*y**2 - 2*y**2) - 3*y**3 + 2*y**3 + 0*y**3.\nAnswer: -77*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2730 - -2652 - (-62 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 9*j - 37. What is x(6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22 - 2 = 0. Let p(z) be the first derivative of 0*z + 0*z**4 + 0*z**d - z**2 - 1 - 1\/6*z**6 + 0*z**3. Find the second derivative of p(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-21)*v)\/v*v)**(1\/4))**2 assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(4\/(-7))*492\/(-287)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h + 4. Suppose -2*l = -0*l. Let i be o(l). Let j be (12\/7)\/(10\/70). Calculate the highest common divisor of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*b = -417*b - 7*f + 20, 3*b + f + 4*f - 28 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0301233 less than -3?\nAnswer: -2.9698767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and 8\/20*62\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u - 71*u - 73*u - 84*u + 458*u - 81*u - 69*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -174522\nAnswer: -1\/174522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j + 104 = 28*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 76, 4, -1, -5, 97.\nAnswer: -5, -1, 3, 4, 76, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, j: 1, v: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)\/(1\/4). Suppose 3 = -g + x. Suppose 5*n - z = 42, -n + 12 = -4*z + 2*z. What is the remainder when n is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 25. Let k(m) = 11*m + 54. Let i(l) = -5*l - 24. Let x(w) = 9*i(w) + 4*k(w). What is s(x(f))?\nAnswer: 5*f + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2352 - 1661. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74336 and 200192.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20367449?\nAnswer: 19, 59, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6587 >= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1053\/(-9828)*6\/63*(-28)\/(-3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1031 + 1071. Calculate the remainder when 192 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1855584 or 1855594?\nAnswer: 1855584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8)*(2 - 3). Suppose 0 = 4*z - 8*r + 5*r - 757, 4*z + 2*r - 782 = 0. Suppose -z + 217 = -8*v. Put 4, v, c, 0.3 in descending order.\nAnswer: 4, 0.3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/4 + -55\/28. Let s = 613.1 + -419. Let i = 194 - s. What is the closest to g in -4, i, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b24 (base 14) to base 13\nAnswer: -cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84180806659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1 - 29 + h**3 + 4*h**2 + 9*h**2 + 9*h. Let x be g(-12). Let o = 6 + -6.3. Which is the nearest to 0.2? (a) x (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.14 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 432 - 185*p + 15*p + 385 + 27 with respect to p.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3208*i**3 - 2*i**2 - 3215*i**3 + 215 - 3217*i**3 + 9644*i**3 + 2*i in the form x*i + u*i**3 + o*i**2 + b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 12*x + 6. Let v(h) = 9*h**2 + 26*h - 13. Let b(s) = -13*a(s) - 6*v(s). Let g(z) = -45*z. Determine g(b(l)).\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266990526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 177 = -174 + 372. Suppose 0 + 0*p - 9\/2*p**2 + 1\/2*p**z = 0. Calculate p.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:39 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/3 + 26*k**4\/3 - 193*k**3\/3 + 104*k**2 - 48*k = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 229.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:24 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((sqrt(17) + (-1*sqrt(272) + sqrt(272))**2)*-6 - (sqrt(17) - (sqrt(153)*3)**2)*-4)*3.\nAnswer: -16516 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-3\/4)*s*s)*s**2)\/((s**(1\/6)\/s*s)\/((s**(2\/5)\/s)\/s)) assuming s is positive.\nAnswer: s**(-211\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -1, -107, -12, 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*a + 37*a - 128*a + 3759 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 1020. Let b(j) = -3*j + 1022. Give -5*b(x) + 4*o(x).\nAnswer: -x - 1030","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 241235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - v**4)*(4 - 6 + 1) + 97*v**2 + 215*v**4 - 2*v**3 + 294*v**4 - 508*v**4.\nAnswer: 2*v**4 - 2*v**3 + 97*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(891) + -1 + -4)**2 - -6*(0 + sqrt(99))*-5.\nAnswer: -360*sqrt(11) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13 + 13 = 2*h, 21 = 3*h - 3*f. What is the nearest to -0.1 in -0.1, 5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -463*s - 11758. Determine v(-25).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 343*l + 49. Let f be u(49). Suppose 28*k - f*k = -27*k. Factor 2\/5*t**4 + k*t - 2\/5*t**3 + 0 + 0*t**2.\nAnswer: 2*t**3*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-3)\/15)*-4. What is the third smallest value in -0.5, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2941 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16.61993 centuries?\nAnswer: 1.661993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**2 - 3*n + 3. Calculate the remainder when t(2) is divided by (-21760)\/(-340) - (44 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3214500*u*v**3 - 5294*u*v**2 - 3041*u - 23*v**3 wrt v?\nAnswer: 19287000*u - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 47259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 273991062837.2 - -28?\nAnswer: 273991062865.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(1900) + -3)*-6.\nAnswer: -108 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46.1 and 6.\nAnswer: -40.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 12. Let n(r) = -r**3 + 5*r**2 + 4. Let u be n(y). Suppose -3*x + u*d = -38, 5*d = d + 16. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/11))\/f**(-22) assuming f is positive.\nAnswer: f**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 - -0.18. Which is the smallest value? (a) m (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77519873, 77519875, 77519877, 77519879, 77519881, 77519883?\n\"Answer: 2*b + 77519871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 23. Suppose j = -2*c - c + 24. Let i(t) = -t**2 + 23*t - 88. Let y be i(18). Sort y, c, -5 in decreasing order.\nAnswer: c, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p**2 - 5*p - 3. Let m be d(-3). Let x(v) = -2*v**2 - 9*v + 9. Let r be x(-8). Let u = r - m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 39. Let w be g(-29). Is w + (-35)\/(-7) + 13 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldeb when four letters picked without replacement from {b: 1, h: 1, l: 1, e: 4, d: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 991 - 992. Which is smaller: d or -2872?\nAnswer: -2872","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 40. Give j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let f(u) = 2804535*u**2. What is f(l(x))?\nAnswer: 2804535*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 4*h + 3. Let c(o) = 4*o**2 + 5*o - 3. What is -4*c(q) - 5*t(q)?\nAnswer: 9*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225103165 - 6?\nAnswer: -225103173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 + (6 - 4 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from oooxxoddodd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/4 - 2*d**3 - 7*d**2\/2 + 2*d - 7. Let a be s(-5). Let b = -96 - -156. What is the greatest common factor of a and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47358222 by -830846.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*v**2*w**2 - 50711*v*w**3 + 12*w**3 + 67*w**2 + 14*w - 7 wrt v.\nAnswer: -42*v*w**2 - 50711*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 13360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 31 - (3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17716 - 17706. What is the second biggest value in 36, 7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 61038440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -35 - 49. Let q = -13 - m. Let n(a) = 3*a + 1. Let l(c) = -13*c - 4. Let i(j) = -4*l(j) - 18*n(j). Let w(z) = -3*z - 3. Give q*i(p) - 5*w(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btty when four letters picked without replacement from ybytttbybtybbbb.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*2\/4)\/((-57)\/(-76)). Which is the closest to -0.1? (a) -4 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3236 is divided by 725?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 0) + (-145 - -120).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b - 11. Let p(t) = t. Let z(d) = -a(d) + 2*p(d). Let w = -18 - -1. What is the hundreds digit of z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {f: 2, n: 9, i: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 102*k**2 - 882*k + 85. Give s(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 68*s + 2226. Give b(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(110)*-1 - sqrt(110)) + sqrt(110))*-3)\/sqrt(10) + -1)**2.\nAnswer: -6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 + -275.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71181, 142382, 213595, 284826, 356081?\nAnswer: 427366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4525\/6 - -830339\/1101. Is 1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -2, 9, -24, 439 in increasing order.\nAnswer: -24, -2, 1, 3, 4, 9, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -326. Suppose 4*b + 5*m - w - 187 = 0, 6 = 3*m. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzaxfalaaaz. What is prob of sequence ax?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 338*w - 2363. Let u be j(7). Put -1, u, -28 in decreasing order.\nAnswer: u, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + c = 27, 0 = 4*f - 3*c - 20 + 46. Put -3, f, 123 in decreasing order.\nAnswer: 123, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 12. Let o be q(-12). What is the least common multiple of (-2 + 1 + o)*-11 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 57 = 15. Let a(b) = -b + 5*b - m*b. Let h(n) be the first derivative of n**2 - 1. What is a(h(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqaqaqqqqqaqaqqqqa. What is prob of picking 2 q?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302013 (base 4) to base 13.\nAnswer: -15c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -9939.867?\nAnswer: 9939.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/30 - 2*i**2. Let y(f) be the first derivative of 2*f**2 - 8. Calculate v(y(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - u + (1 - 2 + 0)*(-u - 2*u + 5*u) + 2*u + 14*u - 7*u)*(-23 - 33 + 37) in the form l + s*u and give s.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**3)**(-31) assuming h is positive.\nAnswer: h**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 204. Suppose -f = 3*g - 50 + 11, 5*f = 0. What is the remainder when i is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*i - 33 + 11, -4*k + 8 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-2))\/(6\/(-100)))\/(45\/54).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -22. Let l = -9 - o. Let r be (6\/(-4))\/(l\/(-32)). Solve 2*n - 8 = r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27410*r - 31*r**2 + 27410*r.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-19 - -4) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a7138 - -3?\nAnswer: 10a7140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40183, 40499, 40815, 41131?\n\"Answer: 316*s + 39867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**5*g*g**(4\/5)\/g*g**2*g*g**(1\/5)\/g)\/((g**(-5\/6)\/g)\/g**3*g**(-1\/6)\/g*g*g**7) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - (4 + -4)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.05 - 0.05. Let k = s + 4. Let c = k + -7.0000075. Round c to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:58 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39328 and 29496.\nAnswer: 117984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.037 + -0.163. What is the second biggest value in 1\/4, 6, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmizizizmmkzx. Give prob of picking 1 x, 1 k, and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 15 + (-17 - (0 + -81 - -17))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*k**2 - 2*k**2 - 5*k**2 in the form m*k + h + o*k**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6382.\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4712 = -71*d - 1943 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -91\/2295?\nAnswer: -91\/2295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11240123 (base 5) to base 11\nAnswer: -70047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 261112 - 101719. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702792, -1405592, -2108400, -2811216, -3514040, -4216872, -4919712?\nAnswer: -5622560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -402046 (base 9) in base 3?\nAnswer: -110002001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -0.4, 0.2, 31, 2, 3 in ascending order.\nAnswer: -26, -0.4, 0.2, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 - 2*g**2\/11 - 20*g\/11 - 16\/11.\nAnswer: 2*(g - 4)*(g + 1)*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mziiuiiwwiizii. What is prob of picking 1 u and 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -7, 4, -45 in decreasing order.\nAnswer: 4, -2, -4, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*v**4 + 11903226*v**3\/7 + 21159*v**2\/7 - 11903226*v\/7 - 24120\/7 = 0.\nAnswer: -4020, -1, -2\/987, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - 1 - -5 - 2. Let r = 4 - -3. Let j = -14 + r. Which is the second biggest value? (a) -2\/3 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -155 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37790169 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 246073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 31) + (-9 - (4 - 6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/((-19)\/76*10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 40530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/68, 3, -1\/6, -0.2, 1, 3\/424?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121770 is divided by 121733?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - g**3 - 6*g - 4 - 6*g**2 + g. Let u be 68\/(-12) + (-4)\/(-6). Give s(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 8 - 13. What is z in 114 - 231 - 12*z - 36*z**2 + 117 + y*z**3 = 0?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.054 and -273388?\nAnswer: 273387.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 l when three letters picked without replacement from llllhhhsl?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjvvyvgjvgvgggvvagy. What is prob of picking 1 j, 1 v, and 1 a?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2122 = -6366. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/735 - l**6\/105 - 104*l**2 + 31*l. Let j(m) be the first derivative of v(m). Solve j(g) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8935 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 37*n**2 + 17*n - 26. Let b(r) = 38*r**2 + 12*r - 27. Let w(l) = 3*b(l) - 2*m(l). What is the second derivative of w(p) wrt p?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389484061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 2212, 3277, 4344, 5413, 6484?\nAnswer: 7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14001.6336764 - -5.2.\nAnswer: 14006.8336764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/21 + (-280)\/330.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8496 + -3.8496. Which is the nearest to -1.3? (a) 0 (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*j**3 + 140*j**3 + 160*j**3 + 301*j**3 - 1030*j**3.\nAnswer: -293*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10248 divided by 6?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d2 - -94?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -49, -98, -197, -364, -617, -974?\n\"Answer: -3*d**3 + 2*d**2 - 2*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3055, 6069, 9063, 12031, 14967, 17865, 20719, 23523?\nAnswer: 26271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 - 57547468*o - 57547472 = 0.\nAnswer: -1, 14386868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51345 is divided by 23786.\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-73.\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30200 (base 4) to base 5.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1564539, -1564543, -1564549, -1564557, -1564567?\nAnswer: -1564579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15312032370 - 3.\nAnswer: 15312032367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9352165*f**3 - 25101*f**2 + 2*f + 106 wrt f?\nAnswer: -56112990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239082 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*g + 432*g + 195*g.\nAnswer: 243*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 15 = r + 16, n + 4*r = 26 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8233801 to the power of 1\/2, to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10457?\nAnswer: 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19608 and 48792.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Let w be (10\/(-4))\/(m\/(-8)). Solve -2*n = 3*q + q - 12, w*n = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3702*s**2 + 3*s**4 + 12*s + 3702*s**2)*(-2*s - 4*s + 4*s).\nAnswer: -6*s**5 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 38602*p + 5365164.\nAnswer: -2*(p - 19439)*(p + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39779347 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2225*t**2 + 1943*t**2 - 4*t - 1249*t**2 + 4*t + 571*t**2)*(-3*t + 4*t + t).\nAnswer: 6980*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -21, 0, 202 in descending order.\nAnswer: 203, 202, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1351 = a + 5*b - 1276, -15 = -3*a + b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -h. Let d(v) = 1 - 45*v**2 - 2*v + 0 + 189*v**2. Is d(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -543*x + 9. Let h(s) = -271*s + 4. Let z(o) = -5*h(o) + 2*w(o). Let p be z(-2). Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26294672*h**3*l**2 - 4*h**2*l**2 - 122532*h**2*l + 3*h**2 - 2*h*l - 2*l**2 wrt h?\nAnswer: -157768032*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -222 and -214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 less than 78723\/1318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527.8755 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 23, 32, 59?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:19 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - g**3 + g**3)*(2*g**2 - 4*g**2 + 4*g**2)*(2 - 1 + 1 + (-4 + 4 - 1)*(-4 + 6 - 1)).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 52. What is the remainder when 123 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*w - 486 + 1857 - 282 + 2091 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*13\/(-6) - -3. Sort 1\/7, 0.2, -5, v in decreasing order.\nAnswer: 0.2, 1\/7, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -110816, 4\/3, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - ((-2)\/1 + -2). Suppose 3*k - 13 = 3*m + 2, 0 = w*m + 9. Suppose 3*f = -5*r + 307, f - 64 = -k*r + 58. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + -3 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 82. Let d be x(-8). Suppose -i = 4*o - 156, -o + 16 = i - d. Are o and 35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 9*u + 16. Suppose 0 = u*z - z - 49. Differentiate -31 + 7 + 14*f**2 + z with respect to f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvwvwvvnjkw. Give prob of sequence vvwj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 110 = 5*y, 0 = -0*h + h - 2*y - 27. Let i = h - 17. Suppose -2*s + 6*s - 28 = i. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 181a9?\nAnswer: -181a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 31*c**3 + 4*c - 8. Let p(v) = -v. Calculate -l(y) - 3*p(y).\nAnswer: -31*y**3 - y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 21 + 9. Let c(v) = -9 - 19586*v**2 + 19587*v**2 + 2*v**o - 3*v**3 - 2 - v. What is c(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/4)\/(3\/(-4)). Calculate the highest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3725859 is divided by 4263.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 + 3*z + 6. Does 15 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2661800 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -13*o + 29*o. Calculate the remainder when (2\/3)\/((8\/4188)\/o) is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1697, 2, 4, -7, -2, -3\/4, -0.03?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/14)*b)**(-17\/2))**(13\/4) assuming b is positive.\nAnswer: b**(-6851\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 89*v - 425. Calculate o(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.2, 24\/11, -19, 1\/3, 2, 24\/7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*a**5 + 8\/3*a**4 - 52\/3*a**3 + 88\/3*a**2 - 62\/3*a + 16\/3.\nAnswer: 2*(a - 1)**4*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-828)*(528\/99 + -6)\/((-4)\/(-27))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*k + 5*k. Suppose 5*d + k*c = -16 - 29, -2*d - c = 16. Let x be (-16)\/48*(1 + d). Solve -5*o - w + 3*w + 7 = 0, 5 = -o + x*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83802.1 + -83802. Let q = -0.5 + -1.5. Let x = -0.7 - 3.3. Which is the third biggest value? (a) v (b) -0.5 (c) x (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:40 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 28\/(-35) + (-738)\/(-885).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) - 481\/148. Suppose 4*g + 2*t + t - 32 = 0, t = 3*g - 11. Put g, 16, s in decreasing order.\nAnswer: 16, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -245, -257, -267, -275, -281, -285?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11478 at least as big as -11483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*q**2 - 2*q**2 + 0*q**2.\nAnswer: 3*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/35 - (1 + (-60)\/(-175)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + r**4 - 5 + 4*r - 5*r + 4 in the form a*r**4 + v + z*r**2 + l*r**3 + n*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -794709*c + 6357651. Calculate d(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*(k*k*k**(-13))\/k)\/k*k))\/k**(-14))**(-2\/9) assuming k is positive.\nAnswer: k**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4373 - 6267. Is -1894 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21941558.61 to the nearest 100000.\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - l - 1. Let n be c(-6). Suppose 0 = -n*t - 1 + 26, 3*i + 2*t = -2. Let g = 8 - 11. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 * -274.834\nAnswer: -197.88048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 17*f**3 - 9 + 2 - 7*f**3 + 9 as i*f**3 + p*f**2 + g*f + z and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 72?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18*v*v**(6\/19)*v)\/(v**(2\/41)*v**(2\/9)))**28 assuming v is positive.\nAnswer: v**(3934952\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 263883.064 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 6. Determine g(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Suppose -12 = -10*c + 12*c. Let u(b) = -b**3 - 4*b**2 + 6*b + 3. Let k be u(c). Let v(n) = 48*n**2 - 94*n**2 + k*n**2. Calculate v(d(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31955850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - 2*l)*(2 - 2 + 4)*((-4 + 3 + 2)*(-3 + 1 + 3) + 2 - 4 + 0).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90475 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -5124038.6.\nAnswer: -5124038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(0 + -4 + -3 + sqrt(13)))**2*-4 + 3.\nAnswer: -18597 + 4200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(18\/(-12)) + 420\/4. Suppose j + b + 104 = 0, 538 = -5*j - 3*b + 7*b. Let p = v + j. Solve -2 + p = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(847)) + sqrt(847))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000671 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-2) + 2)*0. Suppose 2*q = -6, q + 3 = -3*u - 3. Let l be 245*(f + -1 + u). What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 5)*204\/24. Is 33 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1459101 millilitres?\nAnswer: 0.0001459101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + d - 1 = -2, -5*d + 2 = 3*k. Let j(o) = -o**2 + 1. Let b be j(k). Suppose -3 - 17 = 4*v, b = -2*r + 4*v + 94. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**3 + 280*o**2 + 1655*o - 45430 = 0?\nAnswer: -14, 11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*x + 9 = -0*x, 4*j - 6 = 2*x. Let y = -8.5 + 9. Sort -3, y, j.\nAnswer: -3, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*f - 8 = 4, 4*f = j - 16. Suppose 20 = -5*s, 3*s = -5*p + 7 + 6. Sort p, 2, j in decreasing order.\nAnswer: p, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/36*(-42)\/28.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496 and 124?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3)\/(1\/(-1)). What is the second derivative of 3*n**3 - 2*n + h*n - 6*n - 2*n wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**3 - 2*d**3 + 8*d**3)*(3 + 0 - 5) + 3*d**3 + 0*d**3 - 4*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -110101000011000001001?\nAnswer: -110101000011000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*a + 371*a = -319*a - 312*a - 6499 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(-544)\/(-714)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 127?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 8*z**2 - 5*z + 6. Let k be r(8). Let c = 37 + k. Suppose 3*u = -5*a + 32, -4*u + c*a + 1 = -3. Solve 3*j = 2 + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 617910*c**2 + 3707325*c + 5560920.\nAnswer: 5*(c + 3)**2*(c + 123576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145056 or 2?\nAnswer: 145056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**4 + 3*u**4 - 246 + 2*u**2 + 287 - 115*u**6 wrt u?\nAnswer: -13800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -10. Suppose -2*m + 20 = 3*m. Let t = 21 - 21.4. Which is the second smallest value? (a) m (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - 12?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -29. Suppose 4*s + j - 543 = 0, -2*s - 2*j = j - 279. Suppose s = 9*p - d*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.62 - 0.73. What is the smallest value in p, -3\/4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.294583 years to millennia.\nAnswer: 0.000294583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.476933*1.\nAnswer: -0.476933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*v + 2*v. Let p be 1 + 2\/2 - -1. Is 21 + (v\/(-3))\/p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-168)\/35)*528\/(-6600)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 11*o**2 + 26*o + 11. Let y(a) = -a**2 - 53*a - 137. Let z be y(-3). What is w(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 380716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/9 - 76*n**3\/9 + 242*n**2\/9 - 164*n\/9 = 0.\nAnswer: -41, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 4 - 18*d**2 + 20*d**2 + 4*d - d**4 in the form a + o*d + h*d**3 + p*d**4 + y*d**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 26 = 6*k - 193, -4*a = k - 714. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + 6. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -258684 and -3?\nAnswer: 776052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14372.9888 - 14351. Let h = -22 + i. Round h to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 71, 3\/7, -0.0112, -9, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a**3 - 361*a**2 + 19*a + 13. What is w(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012 = 5*c - 1062 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + 0*q**4 - q**4 + (q**2 + 3*q**2 - 6*q**2)*(0*q**2 + q**2 + q**2) + 20*q**4 + 4*q**4 - 8*q**4 as t*q**2 + v*q**4 + j + n*q**3 + l*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 61670596 divided by 15417649\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11040 + 8742. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 10. Let d be l(-11). Solve -15 = d*h - 31*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/17)*i*i**(-11)*i*(i**(-1)\/i)**(-43) assuming i is positive.\nAnswer: i**(1307\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 296*i**2 + 32558*i + 198916\/3.\nAnswer: 2*(i - 223)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 1:39 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35158, 27999, 20840, 13681?\n\"Answer: -7159*u + 42317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001110 + 10?\nAnswer: -10000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 320328 (base 13) to base 5\nAnswer: 244442132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -371\/2? (a) 2 (b) -10 (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 549*q**4 - 11473*q**3 + 2*q**2 - 515432*q.\nAnswer: 13176*q - 68838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12.264*-8\nAnswer: 98.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16567 - -16571. Let x(a) = -a**3 + 3*a**2 - 2*a. Let u(z) = -z + 2. Let g be u(0). Let w be x(g). Solve w = -4*p - 0*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*v + 186. Suppose -2*b + 48 = f, -v = 3*b + 3*f - 117. Suppose -b*n + 21*n = -1730. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - x**3 + 0*x**3)*(4*x**2 + 0*x**2 - 2*x**2) - x**5 + 4*x**5 - x**5 - 7*x**4 - 14*x**5 + 7*x**4 + x**5 + 4*x**5 - 6*x**5.\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27074380 rounded to the nearest 10000?\nAnswer: 27070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -81. List the prime factors of (128\/10)\/(i\/650).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 11. Let b be q\/(-5) - -4 - 4. Solve 4*o = b*p + 4 + 6, p + 5 = 3*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/(60\/21480). Let m = 23 - 38. Is (0 - l\/m)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1285063*f**4 + f**2 - 753782.\nAnswer: -30841512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = -3*r + 3297. Let x = r - 423. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002738 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 6 - o**2 + 3*o + 2*o. Let f be ((-3)\/2)\/(3\/(-10)). What is n(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, e: 1}. Give prob of picking 2 z.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/4)\/o*o*o**(-23))\/((o*o**(-5))\/o**6))**(-32) assuming o is positive.\nAnswer: o**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*v**5 + 47142360*v**4 - 65999456*v**3 + 20742696*v**2 - 1885700*v = 0. Calculate v.\nAnswer: -471425, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 4*i + 3. Let h be s(1). Let f(g) be the first derivative of -6*g + 1\/4*g**4 - 6 - 2*g**h + 0*g**2. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 363*n + 20. Let q(t) = -121*t - 7. What is -17*q(r) - 6*x(r)?\nAnswer: -121*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r + 40. Let w be x(7). Let t = 1021\/3 + -337. Calculate the common denominator of ((-12)\/w)\/(5\/(-6)) and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j - 20105. Let s(q) = -95*q. Give k(s(z)).\nAnswer: -9025*z**2 + 95*z - 20105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) -6 (c) -0.5 (d) -1 (e) 52841\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*u + 150, -100*z + 97*z = 4*u + 146 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93824, -187668, -281512?\n\"Answer: -93844*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 555.6 - 556. Let m = -27.89 + 28. What is the second biggest value in v, -4, -1, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 10:16 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 0*z**2)*(3*z - 2*z - 3*z)*(-2 + 2 + z).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 293, 465, 673, 929?\n\"Answer: 2*l**3 + 134*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 0.1 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1010?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(320) + sqrt(80)\/sqrt(4) + 4 + (sqrt(480)\/(sqrt(8)*1))\/(-2*sqrt(300) + sqrt(12)).\nAnswer: 5 + 89*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Solve q - 11 = 3*b, 0 = -n*q - 3*b - 0*b - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-1 + -1)) + 0 - (-52 - -41)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27520448467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:20 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 116*f**3 - 924*f**2 + 484*f + 21296 = 0. What is f?\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1262, -1083, -784, -365, 174, 833?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 6. Calculate the remainder when 11 is divided by x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c (base 16) in base 4?\nAnswer: -11130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 234, 729, 1554, 2709, 4194, 6009?\n\"Answer: 165*t**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-2)\/7 + 12144\/168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 126 - 87 + 8*p - 88. Let i be v(6). Let t be (24\/16)\/(i\/(-6)). Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 - 12*z. Let o(j) = -5*j + 3. Let n(g) = -140*g + 85. Let a(d) = 6*n(d) - 170*o(d). Calculate i(a(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 1, q: 1, k: 1, d: 4}. What is prob of picking 1 x, 1 v, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/51*(-4)\/(3 + -43). Let v = -0.013 + 79.013. Let h = v - 75. Sort z, -2, h.\nAnswer: -2, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 2*x + 0*x + 2*x**2 + 0*x**2 as h*x**2 + g + i*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 199*w + 72. Let s be p(66). Let m(l) = 4*l. Let d be m(1). Solve d*a + 3*n = 15, -s*n + 3 = -3*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, y: 1, s: 5, r: 1, l: 7}. What is prob of sequence ysr?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12 = 4*d. Solve 0 = d*o, -3*a + 9 + 3 = 2*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811775 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.078589 - 38.630789. Let x = r + -0.4828. Let o = 39 + x. What is o rounded to 3 decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 7*n + 58*n - 3.\nAnswer: 51*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 342 = -4*x. Suppose 0 = -2*w + 3*c + 174, -4*w = -c - 2*c - x. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148824676 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, -125, -1.4, -1\/393?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 1. Let b(q) be the second derivative of 0 + 45\/2*q**2 - 9*q**3 + 232*q. Calculate -b(u) - 45*m(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1654651.\nAnswer: -7\/1654651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from {f: 2, t: 1, z: 2, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w + 4. Let o be u(-3). Suppose 5 = 2*k - 3, m = 5*k - 11. Let l be m\/o + 2 + -2. Solve -3 = -3*q - l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 769412824 + 0.1\nAnswer: 769412824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -11.755\nAnswer: -12.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 4\/(-7). Let o = -1.0088 - -0.5088. Which is the nearest to w? (a) -5\/4 (b) 20 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjj when three letters picked without replacement from {b: 7, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1421\/11 or -128?\nAnswer: -1421\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s - 2*s**2)*(-626*s**2 + 4423*s**2 - 1059*s**2) + 2*s**4 + 0*s**2 + 0*s**2 as l + r*s**4 + p*s**3 + k*s + x*s**2 and give r.\nAnswer: -5474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 1.2?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 5*h**4\/12 - 25*h**3\/9 - 55*h**2\/3 - 80*h\/3 + 318. Factor z(a).\nAnswer: 5*(a - 8)*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 8*x + 6. Determine i(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 547432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -28*b - 2*b. Put 0, 16, 5, b in ascending order.\nAnswer: b, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/308*328*165\/30?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8384 in -2, 3.023, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 102347696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + (-22)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) -44 (d) 5 (e) 26 (f) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 1178.13.\nAnswer: 1179.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -337953*t + 2027723. What is y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 > 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80417 is divided by 39859?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*w + 58. Let j(m) = 2*m**2 - 10*m - 41. Is j(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4983746 is divided by 5224.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:30 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) 0.04 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h. Let o be p(0). Suppose o = 18*w - 19*w + 5. Calculate the lowest common multiple of w and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k + 170 = -18*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:28 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:02 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 22 + (27 - 7) + -12.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -548*b - 1241*b + 3091 - 862 - 1474*b wrt b.\nAnswer: -3263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/84)\/(((-3)\/(-45))\/((-3)\/3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18+-48358428\nAnswer: -48358446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9163*b**3 - b**2 - 8*b - 6. List the prime factors of v(-1).\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8775091 rounded to 3 decimal places?\nAnswer: -1.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 18. Give v(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -612443 or -612445?\nAnswer: -612443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -80.41282?\nAnswer: -80.41282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145, -124, -87, -34, 35, 120?\n\"Answer: 8*t**2 - 3*t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*g + 1723 = -1114 - 1139 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -178215*b**4\/4 + 1090*b**3 - 10*b**2 - 8*b - 188. Factor y(a).\nAnswer: -5*(327*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 58 = 56*c. Which is smaller: c or -17\/55?\nAnswer: -17\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l - 18. Suppose 170 = -c + l*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 g(i) = i**2 - 405*i - 17808. Give g(-40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/3 + 0 + 31. Suppose -z + u = 5*s, -11 = -z + 3*s + 14. Let n = z + -19. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139392319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 3*r + 4*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let q(k) = 5*k + 6. Let x(o) = 2*q(o) - 11*u(o). Let m(i) = -2*i**2 + 10*i - 10. Calculate -2*m(r) - 20*x(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103342231 (base 5) in base 16?\nAnswer: -6dc9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2077 - 448633\/216. Let c = -10\/27 + r. What is the second smallest value in c, -0.1, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 72695?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txtx when four letters picked without replacement from {x: 5, y: 6, t: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 2*d**3 - 13*d**2 - 2*d**3 + 0*d**3 + 162*d**2.\nAnswer: -4*d**3 + 127*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 1426*b = -1421*b - 13, -3*b = w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*j + 735, -4*j + 2*k + 275 = -311. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -22. Let s = 841 + -824. Calculate the remainder when y is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 + 4. Suppose -14 = -5*s + 11. Let x be d(s). Suppose -4*p = -x - 46. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(136) - -3*sqrt(136))\/sqrt(8))*-3)**2 - (((sqrt(17) + -1)*-2 - sqrt(17)) + 1)**2.\nAnswer: 18*sqrt(17) + 3663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/(49\/(-546))*-14. Suppose -2*m - 22 = -y. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 808668 divided by -252?\nAnswer: -3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*b**3 + 26*b**2 - 26*b**2 + (-2*b + 1 - 1)*(-b**2 + 5*b**2 - 2*b**2).\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 19. Let j(w) = 6*w + 28. Let x(z) = 7*g(z) - 5*j(z). Let s be x(-6). Suppose -2*k + 54 = 5*y, 0*k - 48 = -s*y + k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - -3?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (1 + (-1 - 4)). Suppose -4*f + 21800005 = -g*h - 5*f, -2*h - 21799995 = -f. What is h rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.586*-0.35.\nAnswer: -0.9051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2 - 2*2. Let b = k - -26. Suppose -m + b = -0. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54907 - 52250.3. Round v to the nearest ten.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 2 t when four letters picked without replacement from {w: 3, t: 11, j: 4}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 106 = -48*c + 16*c, 2959 = 3*c - 3*a + 2965 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -748.8203.\nAnswer: -2246.4609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.111 + 67.111. Let j = 52.75 + 8.25. Let l = d - j. Which is the third smallest value? (a) 2\/5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 7*g - 1765. Let h = -302 + g. Solve -h*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1444\/(-57) - -26)\/((-2)\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 - 115*r - 114. Determine n(15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1365549 divided by 3\nAnswer: 455183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50484, -50555, -50626, -50697, -50768?\nAnswer: -50839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/12)\/(-3)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2488)\/(-11196))\/((-5)\/(-405))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7530738, -15061453, -22592168, -30122883, -37653598?\n\"Answer: -7530715*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/5))\/(u\/(u**(4\/9)\/u)*u*u))\/(u\/(u\/(u*u**2*u)))**(-36) assuming u is positive.\nAnswer: u**(6347\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {b: 1, t: 5, r: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i - 6*i - 2*i. Let v(z) = -5*z**2. What is p(v(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 119 = 5*g, g + 12 + 7 = 5*k. Let r = g + 42. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.24 - -0.24. Which is the second smallest value? (a) f (b) -0.1 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5080724?\nAnswer: 2, 11, 115471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0515 (b) 21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.29 and -45.2.\nAnswer: -13.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000512 to six decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 + 8 = 0. Suppose 0 = -0*q - g*q + 4. Let o(k) = -k. Let y(u) = -7. Let b(r) = 19. Let d(x) = -4*b(x) - 11*y(x). Determine q*o(t) - d(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 - 63*h**2 + 5178*h - 39312 = 0. Calculate h.\nAnswer: -56, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 760897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-28) - (-45)\/12. Let c be 2 - f - (-4 + 10). Let a = 37 - c. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/120 + x**5\/20 + x**4\/3 - 7*x**3\/6 + 3*x**2. Let u be i(6). Let w = u - -105. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let a(g) be the first derivative of 5*g**3\/3 + g**2\/2 - g - 50. Determine a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101110000000011101 (base 2) to base 4\nAnswer: 232000131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 50151 (b) 1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1466 (base 8) to base 10\nAnswer: -822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**(-5)\/y)\/y)\/y))\/(y**(2\/11)*y)*(y\/(y*(y*(y*y**(2\/11)*y)\/y)\/y))\/y*y*y**3)**(2\/23) assuming y is positive.\nAnswer: y**(212\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34314882*c*s - 724*c + 1947 with respect to s.\nAnswer: 34314882*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2. Let v(y) = 17*y**2 - 1. Give v(p(f)).\nAnswer: 833*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25902\/23 + -1126. Which is the third biggest value? (a) -1\/4 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 23 = -5*w, 4*w - 20 = -w - 5*p. Suppose 3*v + 4*r = 32, -8 - 9 = -3*v - r. What is the second derivative of 4 + 33*j + 7*j**v + 3 - w wrt j?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 130, 291, 516?\n\"Answer: 32*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - l. Let i = 1 + 3. Solve -4*r + 14 = h + h, -i*r + 2*h + 2 = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 34 + 5 - 21*m wrt m.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61946 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-22 + -12)) + -27\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2831593, -2831578, -2831555, -2831524, -2831485, -2831438, -2831383?\nAnswer: -2831320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 501*g + 100. Let f(x) = -501*x - 102. Let i(l) = -4*f(l) - 3*r(l). Let y be i(12). Round y to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 23*z**2 - z + 29. Give x(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 92*q + 1001. Calculate g(76).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*q + 1500 - 2126 = 5102 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 - 6 = 0. Solve 0 = k + 2*a - 5, -r*a + 4 = -k + 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65730949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*u + 311*u + 105. Solve 3*i = u, 2*j + 3*i - 13 = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -0.75 (c) 93 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 6*t - 3*t)*(-8*t + 7*t - 2*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136.00000376 - 136. What is x rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 89.5 (b) 3\/7 (c) -2\/3 (d) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {l: 13, k: 1, s: 1}?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 22 + 152 = 0. Suppose -5*n = 4*u - 60, -3*n = -8*n - 5*u + p. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.7916 microseconds in seconds?\nAnswer: 0.0007217916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o + 2. Let v be u(2). Let h = 2 - v. Suppose -5*a - h = 8. What is the closest to -0.1 in a, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Let f = l - 6. Sort -3, 1, f in increasing order.\nAnswer: -3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/144 - (-11)\/(-132).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14241.\nAnswer: 3, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 289, 353, 403, 427, 413, 349?\n\"Answer: -2*a**3 + 5*a**2 + 63*a + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -37. What is the fourth smallest value in 0.1, r, -2\/7, 0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 2172339*o**2 - 13033878*o - 34757136 = 0 for o.\nAnswer: -2, 8, 724107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388462 is divided by 194102.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48373 is divided by 417.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 543436.4 times -0.074?\nAnswer: -40214.2936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262333 is divided by 432.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from vvnnvvvvv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3297308 litres in millilitres?\nAnswer: 329.7308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 5*x - 3*x)*(6*x - x**3 - 3*x + 8 + 0*x**3) as d + s*x**4 + i*x**3 + l*x**2 + o*x and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134)\/(-2077) - 1575\/(-93).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1287 + 1287. Which is the nearest to -0.7? (a) y (b) -3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 6*u**2 + u - 1. Let v be d(6). Suppose -v*i = -6736 - 949. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122247 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -772 + 787. What is the remainder when 6*12 + 4*-1 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 44 + 371. Let g = z - -122. Calculate the remainder when g is divided by 0\/1 - 91\/(39\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 445*b**2 + 446*b**2 + 3 - 7. Let r be y(8). Let i = r - 43. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*s**4 + s + 320079*s**2 - s - 319456*s**2 wrt s?\nAnswer: 7776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 7, d: 5}. What is prob of picking 1 d and 3 s?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346327, 1385315, 3116961, 5541265, 8658227, 12467847, 16970125?\nAnswer: 22165061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.5 + 17. Let w = -3.2 - -0.2. Sort x, -5, w in decreasing order.\nAnswer: x, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205538791 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175149 is divided by 8340.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 268264, 268277, 268300, 268333, 268376?\n\"Answer: 5*d**2 - 2*d + 268261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*r + j, -302*r = -299*r - 5*j - 10. Let w = 464\/1185 - -2\/237. Let h = 0.3 - 0.4. What is the biggest value in r, 0.2, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i - 60. Suppose -i = -5*m - 2. Let s(l) = 2*l - 2. Let x be s(m). Solve x = -h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 53*z + 292. Calculate u(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 583 + -284. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1809 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*i = 348*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 62*s**2 - 2*s. Let o(b) be the second derivative of 5*b**3\/6 + 4*b**2 - 8*b - 20. Give d(o(h)).\nAnswer: 1550*h**2 + 4950*h + 3952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + 4*k**2 + 7*k + 7. Let a(m) = -m - 1. Determine 5*a(c) + f(c).\nAnswer: 3*c**3 + 4*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtw when four letters picked without replacement from wtwwwwwtwwtw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 293 - 98. Let k be 160\/v + (-2)\/3. What is the closest to -0.2 in -4, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 - 218. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 48960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**2 - 133\/4*l**4 + 77*l + 0*l**3 - 70. Find the first derivative of v(b) wrt b.\nAnswer: -399*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7719975 years to centuries.\nAnswer: 0.007719975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 a when three letters picked without replacement from hhahdyhhhvbavhhv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from zeqqqeegeezz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 - 1.3. What is the nearest to u in -2, -2\/5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16211 + -357545?\nAnswer: -375756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87146041 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/33 and 34\/354711.\nAnswer: 3901821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 65*b - 2073. Let x be m(32). Solve 20 = x*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 66 = -31. Suppose 5*o + 5 = 45. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 3*m, -p = m + 2 - 0. Put -1, -2, m in ascending order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -1 + (65 - 7). Let k = 64 - b. Calculate the highest common divisor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/16)\/(6\/176). Let j = 37 - m. Factor 2\/3*n - j - 1\/3*n**2.\nAnswer: -(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20083\/70 + (-2)\/(-20). What is the highest common divisor of 41 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -9. Suppose 0*g + g = -d. Let v be -3 - -2 - g\/7. What is the nearest to 1\/4 in 0.4, v, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7350*t + 1061. Is v(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -7 - 16\/(-2 + -2). Put 1, -11, h in ascending order.\nAnswer: -11, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2129480, 2129839, 2130188, 2130521, 2130832?\n\"Answer: -s**3 + s**2 + 363*s + 2129117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1041, -2266, -3491?\n\"Answer: -1225*x + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 12 + 32)*(0*w**2 - w**2 + 3*w**2) + 3*w**2 - 4*w**2 - 6*w**2.\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.493 + -0.093. Let b = 2 - 23. Let d = s + b. Sort d, 6, -0.5 in increasing order.\nAnswer: -0.5, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229973196 and 71588.\nAnswer: 6508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213757 is divided by 53434.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -441*b. Let u(q) = -5*q. What is k(l) + 2*u(l)?\nAnswer: -451*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23269 and -0.4?\nAnswer: -9307.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (92*b + 1 - 50*b - 140*b)*(4 - 5 + 2) as j*b + o and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 4. Let g(t) = -t**2 - 9*t + 8. Let y = -3 - 5. Let b be g(y). Suppose -6*c + b = -2*c. What is f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197759, 197761, 197763?\n\"Answer: 2*a + 197757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 17*r - 1496 = 6*r - 17*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -259, 12.\nAnswer: -259, -181, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*y - 26135 + 1179 = 799*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 23*b. Let z(j) = -4*j**2 - 12981 + 12981. Give q(z(s)).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1 (b) -4 (c) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 8837409?\nAnswer: 8837407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5 - 1, 5*a = -3*z + 296. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70\/157 + -33721\/628. Let h = s + 51. Find the common denominator of h and 62\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 + 5*s + 7. Let v(b) = b**3 + 18*b**2 + 16*b - 12. Let d be v(-17). Let h(t) = -2*t - 3*t + 1 - t**3 + 6*t. Determine d*h(n) - i(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/5))\/c)**(-1\/4)*(c*c**2)\/(c\/(c*c**(4\/13)*c)*c) assuming c is positive.\nAnswer: c**(847\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 73821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523743 is divided by 276?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1 + (-2)\/6). Let r = a + -3. Let f be r*3\/(-6)*2. Which is greater: f or -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 1913 = -2827. Suppose f = -49*m + 54*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 101841, -3 in increasing order.\nAnswer: -3, 0, 18, 101841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77.47 + -77.27. Let f = -11.88 + 12. What is the smallest value in r, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 30d?\nAnswer: -30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1066)\/8*(-6976)\/(-22672)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Suppose 0 = l*s - s. Suppose 0 = -4*r - s*r + 3*u - 31, 3*r = -u - 7. Which is the smallest value? (a) 0 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 92960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzpbbbbb. Give prob of picking 1 p and 2 z.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115367993*r**3*z + 78404*r*z - 134*r wrt r.\nAnswer: 692207958*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33*(1 - (-2 - -2)). Let j(r) = -r + 11. Let u be j(12). Let o be -55*u*6\/15. What is the greatest common factor of q and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -40. Sort -7, -6, d in ascending order.\nAnswer: -7, -6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1777 or -10461?\nAnswer: 1777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -273, -146, 9, 192, 403, 642?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-9)*(-6)\/5. Let z(v) = v**2 - 3*v + 4. Let j be z(3). Solve -c = -4*c + 5*u + 8, -j*c + 5*u + r = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1244 = 4*v, -4*v + 25*n + 1244 = 21*n. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 995 by 199.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -10. What is the third smallest value in 0.4, z, 0.3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -o - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 24, 35, 50?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/30*(-1314)\/(-57). Let w be (-16)\/38*21\/(-12). Let l = m - w. Which is the biggest value? (a) -0.4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9580 divided by 4?\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 2*p + 134 = 0, 577*y + 12*p + 765 = 580*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*g. Calculate the highest common factor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41414*-0.3394\nAnswer: 14055.9116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from weeeweweee?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 121\/210*s**5 + 16\/21*s**3 - 22\/21*s**4 + 0 + 22*s - s**2. Factor l(i).\nAnswer: 2*(11*i - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 3. Let d(n) = -45*n**2 - 3*n + 15. Let g(t) = -d(t) - 4*h(t). Let y(r) = -391*r**2 - 23*r + 23. What is 23*g(x) + 3*y(x)?\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -23 + -2 - -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 >= 0.295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.245786 to 3 dps.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1)\/(32\/(-60)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -k - 15, 0 = 3*p - 3*k - 2*k + 53. Let n(i) be the third derivative of -11*i**4\/24 - 7*i**3\/3 - 7*i**2. What are the prime factors of n(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3 = l, 2*l + 73*h = 82*h - 52 - 6 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8 + 11)*(-3 + 1 + 5)*(695*h + 423*h - 58*h) in the form l + a*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/(d**(5\/3)*d))\/(d**(-2\/7))**(8\/7))**17 assuming d is positive.\nAnswer: d**(4148\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 - 1\/2*m**4 + 3*m - 3*m**2 - 2\/3*m**3. Let g(j) = -3*j - 5 - 12*j**2 + 16*j**2 - 9*j**2. Determine -4*g(l) + 3*s(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96198637 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:45 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695833771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose -a*r + 9*r = 1310000. Suppose -7*g + 5*g = r. What is g rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 85*m**2 - 3*m - 225. Calculate the remainder when 4439 is divided by r(-85).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-686)\/490*(-2)\/14.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696079260 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 162, 155, 134, 93, 26, -73?\n\"Answer: -x**3 - x**2 + 3*x + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 0. Suppose 0 = -p + 3*w - 1, -w = -2*p - y + 3. What are the prime factors of p*(276\/8)\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4067*c + 152484 + 97680 = 10211 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a)**(8\/7)\/(a**(2\/5))**(10\/19) assuming a is positive.\nAnswer: a**(132\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:48 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7097688 divided by 7097688?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*f = -124*f + 34902. What is the remainder when f is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 82*v**2 + 1681*v - 189. Determine x(44).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 9*v + 5 + 4*v**2 + 2*v**2 + v**3. Let g(w) = w**2 + 237*w + 1153. Let i be g(-5). Calculate d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 10:32 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130450932 divided by -2.\nAnswer: 65225466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-35) + (-14)\/49.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2900\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/13 (b) -0.5 (c) -2 (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/20 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**5\/20 - r**2\/2 + r + 1. Let x(j) be the first derivative of g(j). Give x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11*l**3 - 11*l**2 - 3*l + 30. Let g be v(-14). Round g to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2437 - -2447. Suppose 0*w = 5*m - 2*w - 5, 4*w = m + 17. Suppose -k + 41 = -2*q, 2*k - 123 = -k + m*q. Solve -5*t + k = 5*h - h, -2*t + a = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -11, -6040\/207?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -11, 5 in increasing order.\nAnswer: -11, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:19 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -312 - -318. Suppose -w + 5*w - 25 = 3*v, 2*v = -x. Solve 2*f - 25 = 3*f + 5*l, w*f + l + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 17 - 2. Differentiate 0 + 1 + 3 - 2*w**c - 3 wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)\/(w\/(w*w**(-3)*w)))**(1\/32)*w**(2\/5)*w**2*w**(-3\/4)\/((w**(-4\/11)\/w)\/w) assuming w is positive.\nAnswer: w**(883\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*i + 6. What is the common denominator of 26\/i*75\/84 and ((-6)\/(-32))\/((-3)\/13)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 3*l**4 - 2*l**4)*(-2 - 1 + 2) + 0*l**3 + 0*l**3 - 6*l**4 - 3*l**4 + 0*l**4 + 2*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 7, j: 8, y: 3}. What is prob of sequence yj?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, 3, -0.02, 10 in increasing order.\nAnswer: -0.1, -0.02, 2\/5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 166*n + 190. Determine s(-85).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19179, -19162, -19133, -19092, -19039, -18974, -18897?\nAnswer: -18808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032989214 rounded to 6 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 86, 82, 78, 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from aiiiioaaitiiaiiaaoo.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 190\/(-240) - (-2)\/16. What is the biggest value in -2\/9, 4\/7, w, -1\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = 0, -r + 814 - 816 = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-4)*608\/(-57). Let w(z) = z**2 - 4*z - 39. Let o be w(-8). Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3 + 23. Suppose -2*i + 3 = u. Calculate the common denominator of -57\/2 and (-12)\/35*(11 + i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-48)\/6)*-7*8\/(-630).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -12 - (-9 - -1)) + -23 + 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 17 = -21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 125\/3. What is j in 4\/9 + 2\/9*j**2 + i*j = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51784717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/308 and -97\/616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1750*p = -1768*p - 33343 + 138139. What is the highest common divisor of 284 and p?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 54 - 226 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + 62. Is 3129\/2 - j\/(-50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16798 - 15?\nAnswer: 16783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8218001 to the nearest 1000.\nAnswer: -8218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203850 (base 11) in base 5?\nAnswer: 40431433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 15*a - 11*a. Solve -4 = -5*y + 2*d, -y - y + a*d - 11 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 80387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 31 = 5*x + 11, 4*y + 2*x = -36. Let i be 62\/8 - y\/32. Let s = 10 - i. Solve 3*j = 4*t + 7, -3*j - t - s = 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105050 + 21.8011.\nAnswer: 105071.8011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from ararraraazaazzazzr.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6027, -12156, -18261, -24330, -30351, -36312, -42201?\nAnswer: -48006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115002, 230017, 345046, 460095, 575170, 690277, 805422, 920611?\n\"Answer: j**3 + j**2 + 115005*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 - (-96)\/10. Suppose 5*u = 4*n - 0*n + 35, -5*u = 5*n + p. Solve 2*c - u = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 5138555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:29 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 0*g = 3*w - 2, 2*g + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -l. Let f be (3\/3)\/(2\/10). Suppose j - f*w - 5 = 4*j, -5*j = 3*w - 13. Solve 3*t + 16 = j*i, 5*t = -0*t - l*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x**3 + 3*x**2 - 37*x - 115. What is o(-3)?\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 8*l + 4*l. Let a(s) = 0*s - 2*s - s + 4*s. Determine o(a(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-1)\/9*2)\/(116\/1740))\/3. Let p = 0.1 + 0. Which is the nearest to p? (a) 4 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 2*a)*(-3 - 2*a + 3)*(0 - 5 + 4)*(139*a + 20*a - 8*a)*(-11 + 8 - 8).\nAnswer: -3322*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 748477392 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42071 is divided by 14023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifffffff. What is prob of picking 1 i and 3 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/39353 and -107\/17110.\nAnswer: 393530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - 56\/(-9). Suppose -b - b = -x. Suppose 33*p - 40 = 28*p. Solve -b*j + p*j - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**6\/30 + 7*j**4\/3 - 2*j**3\/3 + 4*j**2 - j - 62. Find the second derivative of h(s) wrt s.\nAnswer: 12*s**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 578 = 557 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 346733808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - a6a0a?\nAnswer: -a6a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2478 divide 1342652262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14048 - -14048. Let z(i) be the first derivative of -19 + 0*i + 0*i**4 - 21\/5*i**5 + 11*i**2 + b*i**3. What is the second derivative of z(a) wrt a?\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 1:56 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*n = -2, -2*j - 1198 = -5*n - 1169 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p**(-2\/5)*(p**6\/p*p)\/p*p*p**(1\/8) assuming p is positive.\nAnswer: p**(349\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001 - 11001100101111011111?\nAnswer: -11001100110001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8654000 to the nearest 100000.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3979 and 1557?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9214?\nAnswer: 2, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1 + 1 - 13*p**2 + 6*p**2 + 9*p**2. What is the units digit of q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14889.\nAnswer: 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3209, -6445, -9681, -12917, -16153, -19389?\n\"Answer: -3236*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -2, 107, 1\/2, -1\/7, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*n**4 + 8360*n**3 - 8*n**2 + 21383674*n wrt n.\nAnswer: 324*n**2 + 50160*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - -61. Suppose 7*f = -2*f + v. What is the remainder when f is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004059985034 rounded to 5 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18*(-3)\/(-6)*(9 + -8). What is the highest common divisor of y and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b + 279 + 1290 - b + 207511*b**3 - 210159*b**3 with respect to b.\nAnswer: -7944*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j + 206. Let l be t(-19). Suppose 104 + 58 = 3*c. Calculate the least common multiple of c and 5 - l - (0 - 10\/(-2)).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8\/9, 6, -5, 18604\/7?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -f + 3, -5*o + 16 = -0*f + 3*f. Solve -c + 2*c + 1 = 5*n, 3*n + c = f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1300 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 151810 = -3237*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26051 and 12?\nAnswer: -312612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**2 - 323 - 475997*n + 475997*n as v*n**2 + u + m*n and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5493*a**2*l*s - 3*a**2*s - 2*a*l*s - 317*s wrt l.\nAnswer: -5493*a**2*s - 2*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {o: 1, t: 1, p: 1, k: 3, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2720*b + 5 + 1 + 254*b**3 - 1232*b.\nAnswer: 254*b**3 - 3953*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 29, -7 in descending order.\nAnswer: 29, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -372.21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31029 is divided by 70?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 51*x**2 + 51*x - 18. Let f be 20\/(-5) - (2 - -18). Does 16 divide s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19012*f**2 + 24*f. Let v(n) = -n**2 - 8*n. Determine p(i) + 3*v(i).\nAnswer: 19009*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -992 (c) -284 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15952403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/18680 and 77\/502.\nAnswer: 4688680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145.9 + 114. Let o = p + 26.9. Which is the nearest to -1\/2? (a) o (b) 1\/4 (c) -0.06 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from yppkgpakpy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -8\/7, 5\/36, -5\/28?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 + 234.51. Let n = -2.5 - o. Let s = n - 0.39. What is the nearest to 0.1 in 0.2, s, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -q, 20 = -2*q + 7*q - 5*n. Suppose -2*i - 3*d - 61 + 230 = 0, -q*d + 329 = 4*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**22*o)\/o**(-6\/7))\/(((o*o**(1\/7))\/o)\/o)**(-5) assuming o is positive.\nAnswer: o**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -16839\nAnswer: 16837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414 + 341.4. Let n = v - -73. Which is the smallest value? (a) 1.6 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8355, 16723, 25117, 33543, 42007, 50515, 59073?\n\"Answer: p**3 + 7*p**2 + 8340*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 218*k + 1959. Let l be z(-9). Let d(s) = 7*s**2 + 3*s - 2. Let p(t) = -4*t**2 - t + 1. Let a(h) = -3*d(h) - 5*p(h). Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -3*y. Let l be ((-6)\/(-3))\/(8\/(-20)). Sort -3, y, l.\nAnswer: l, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/34)\/((-2)\/8*-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*2*-6 + sqrt(96) + sqrt(96) + (sqrt(96) - (sqrt(96) + sqrt(96)*1) - sqrt(96))*3)\/(sqrt(21)\/(sqrt(175)*-2)) + -2)*3.\nAnswer: -6 + 1920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 + (3 + -6 - -6). Let m = 0 - -2. Calculate the remainder when m is divided by (-8)\/12*j - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let p = -2.54 - -0.36. Let q = 2.38 + p. What is the third biggest value in q, s, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 71074179.\nAnswer: -71074179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(160))\/(sqrt(32)*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241290.8899999 + 241290.7. Let t = -0.19 - m. What is t rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 + 44131372?\nAnswer: 44131240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 6*k - 54. Let y = k - 51. Solve -g = -5*b + 16, 5*g - 9 - 23 = -y*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 14*w**2 + 10*w - 35. What are the prime factors of n(9)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245*0.3.\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 167*b + 110. Let x be s(-55). Let g be (-3)\/4 - 1\/(-2). Let f = 8.5 + -3.5. What is the nearest to x in 2, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 - 205*z + 860. What is x(-37)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7018960 and 4760?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -765, -1148?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 2 + 4)*(4 - 5 + 0) + 1 - 4 + 1 - 15 - 17 - 6)*(-6*s + 6*s + 3*s**3 - s**2) in the form m + y*s**3 + b*s + x*s**2 and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + w = 67, 4*q - 5*q + 2*w - 32 = 0. Let l(g) = -7*g - 4. Let s be l(-5). Let d = s - q. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:40 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:08 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 409701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66*f**3 - 1380*f**2 + 64078?\nAnswer: -198*f**2 - 2760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/((-8)\/72*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - -21.85. Suppose 761 + 520 = 61*o. Let l be (0 + 7)\/o*0. Which is the smallest value? (a) l (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1198954, 4795826, 10790614, 19183318?\n\"Answer: 1198958*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*v - 5, -3 + 2 = v + f. Suppose -k = -1 + 2, v = -l - 5*k + 35. Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 - 9*o**2 + 1078 - 1078 - 283*o.\nAnswer: -35*o**2 - 283*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872652 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3)\/(20*10\/1800)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -671*t + 4. Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -20 + 1 + 3. Let y be 3\/(9\/v) + -1. Let p be 2\/y*(-2 + 11). Is -1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d + 2*c - 218, 0 = -3*d - c + 639. Let k = 225 - d. What is the remainder when 101 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 619485 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 806850221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14683*q**2*z**3 - 142*q**2*z + q**2 - 13281019*z**3 wrt q.\nAnswer: 29366*q*z**3 - 284*q*z + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945042058, -1890084115, -2835126172, -3780168229, -4725210286?\nAnswer: -5670252343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 3*a - 1. Suppose 3 = 2*r - k, -2*k + 3 = -4*r + 3*k. Let s be y(r). Solve -3*g = 5*h + s, 5*g - 5*h + 3*h = -17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = -17, -1487 = -2*o - 3*u. Suppose 1217 = 3*y - 2*j, 0 = 3*y - 5*j - 1956 + o. Calculate the remainder when y is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 2*a**3\/3 - 3*a**2\/2 + 7*a. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/120 + v**5\/15 + v**4\/24 - v**3\/2 - 10*v**2. Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 2*o**2 - 21 - 6*o**3 - 2 + 13*o**3. Let m(n) = 11*n**3 - 3*n**2 - 23. Let v(k) = -2*m(k) + 3*r(k). What is the derivative of v(u) wrt u?\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + u. Let z(v) = 6*v**2 - 6*v. Let i(x) = 11*t(x) + 2*z(x). Suppose 3210 = -9*m - 66. Let h = 367 + m. What is i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4296452800 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1319, 5485, 23925, 59809, 118945, 207141, 330205?\nAnswer: 493945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 75, -0.5, 3\/4?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + -1*-3*(sqrt(300) - (2 + sqrt(300) + -1))*-5)**2 + 3.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 - -5?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2486\/44 - 3\/(-2). Let a = 52 - z. Let c be a\/(-15) - 8\/20*-156749. What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5000) - sqrt(50)).\nAnswer: 5 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1332602 to the nearest 10000.\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/(-12))\/((-26)\/39))\/(105\/168)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 6 (c) -0.1941 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 206800352581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h, 3*h + 7 = -3*q + 2*h. What is the units digit of q + 6 + 30\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000220100 (base 3) in base 13?\nAnswer: -9348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6671, -13110, -19309, -25268?\nAnswer: -30987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680805*x**3 + 4750875*x**2 + 103240*x + 560 = 0. What is x?\nAnswer: -4\/369, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*y = -32 + 40, 3*y - 9 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 10:55 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4674 + 1265. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607304103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 15. Let w be 24\/2*(12 - (-494)\/(-39)). Let x be (-23 + 1)*(w - 105\/(-14)). Determine u(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02337 - -37.73337. Let r = 0.71 - c. Let q = r + 41.7. Round q to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hhwe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v + 0*v + 4*v)*(-30*v + 7*v + 11*v - 3).\nAnswer: -156*v**2 - 39*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**4 - 3\/50*x**5 - 17\/600*x**6 + 0*x - 6 + 0*x**3 - 1\/280*x**8 + 109\/1050*x**7 + 7*x**2. Let m(r) = 0. What is r?\nAnswer: -1\/3, 0, 1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51556 divided by -51556.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (11 - 10)\/(5\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304489085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6299 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12432 (base 6) to base 11\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 1. Find the common denominator of ((-186)\/r)\/(-5 - -3) and 47\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13190.35 * -0.2.\nAnswer: -2638.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, -13, 0.1, 0.5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 278*m + 280*m = -17922, -4*s + 23896 = m. Is 5974 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 16. Suppose -n + 5*n = 5*w + c, -4*n + 4*w = -68. Let s = n - 9. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 108\/8*(-4)\/2. What is the common denominator of (45\/(-10))\/((-66)\/10) and f\/(2\/(3 + -2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 351 - 489. Let z be 15\/(l\/8) + 6\/7. Let c be 16\/6 - (-2)\/(-3). Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 14*p**2 - 8*p + 3. Let d(b) = 9*b**2 - b**3 + 2 - 3*b - b - b. Let j be (1 + -17)*(-7)\/(-42)*3. Give j*d(a) + 5*v(a).\nAnswer: -2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17147893 or -17147910?\nAnswer: -17147893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/6)))\/(v\/(v*v**(-21)*v*v))*(v\/(v**(-1\/2)\/v))**38 assuming v is positive.\nAnswer: v**(455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12520.0688191 + 0.071\nAnswer: 12520.1398191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17652 is divided by 3913?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/67 and -11?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846324.7 + -0.2?\nAnswer: 7846324.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 34853*n - 104550 = 0 for n.\nAnswer: -34850, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 432960 at least 432959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68231907 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689*a = 5272*a + 97454 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. What are the prime factors of 50 + -2*(q + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241 is divided by 442?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.3 and 0.833206249875.\nAnswer: 6.133206249875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 93?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnawwonaanwqnwwnaa. Give prob of picking 1 a and 1 q.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 14. Let q be p(12). Suppose -s - 8 - 19 = 0. What is the remainder when 68 is divided by (-24)\/(-18)*s\/q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 6, w: 2, a: 2}. Give prob of sequence zq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638117647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -12618, 10?\nAnswer: -12618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or -34341?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.558744 rounded to the nearest ten?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3 + 2*g**2 + 292427*g - 51571030 with respect to g.\nAnswer: -12*g**2 + 4*g + 292427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638515961 is divided by 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*r - 4*o, -r + 1 = -3*r - 3*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = q + x, -q - 3*x + 0 = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttcgtcsqgtgszz. Give prob of sequence ts.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 308\/7*(15\/(-2))\/5. Let z = v + 157. What is the highest common factor of 52 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*h + 210 = -o, -o + 48 = -3*h. Find n, given that -39*n**2 + 12*n**4 + 46*n**5 + 85*n**3 + o + 29*n**3 - 70*n**5 - 117*n = 0.\nAnswer: -3\/2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1530 and -67\/536230728?\nAnswer: 2681153640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236*d + 65*d + 22*d + 77*d)*(-130 + 24 - 162).\nAnswer: -107200*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.3. Let d be (0 - 4\/8)\/(-2). Let p = 10 - 21\/2. Put d, t, p in increasing order.\nAnswer: p, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by -50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 - 573*a**3 - 1062*a.\nAnswer: -12*a**2 - 3438*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -108 + 87 - (-1 + -43).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28950+-174042.2\nAnswer: -202992.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1004)\/(-1757)*1*21\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252321081 to the power of 1\/2, to the nearest integer?\nAnswer: 15885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-10)\/(-270))\/((-2)\/(-360))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41589634 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - o - 173, 0*s - 5*o = 2*s - 59. Suppose 0 = h - 4*k - 19, -4*k - 28 = -4*h + 24. What is the remainder when s is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 + 1\/6*q**3 - 1\/2*q**2 + q. Let r be i(6). Solve r*b - t = 2*t - 8, -5*t = 2*b + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13b516 + 191?\nAnswer: 13b6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let w(h) = -2*h. Let s(b) = 7*q(b) + 2*w(b). Let l(f) = 5*f + 1 - 2 - f. Determine 2*l(n) - 3*s(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/22 - (-6 + (-2919)\/(-385)). Let l be (-1)\/(((-3)\/(-2))\/3). Is l greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(3\/(-10)))\/2. List the prime factors of (2\/m)\/(1\/(-180)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 48 = 43, -5*a + 20693 = -3*k. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.2 and 32724.8.\nAnswer: 32728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 5*i**2 + 0*i**2 + ((1 + 4 - 4)*(5*i - 4*i + 0*i) - 3*i + 0*i + i)*(-4*i - 5*i - 3*i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61088819 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 n when three letters picked without replacement from {i: 2, b: 3, n: 1, f: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/510 - (0 - 4\/34). Put -2\/5, i, -55 in decreasing order.\nAnswer: i, -2\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -367877, -2\/17, 2 in descending order.\nAnswer: 2, -2\/17, -367877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l + 4*l**2 + l + 164 - 151 to the form r + u*l**2 + i*l and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -3.3, -3\/8, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.6 and 61887470.\nAnswer: 61887476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 291097500 a multiple of 1049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2\/7))\/g)**31*g*(g*g\/(g**(3\/14)*g)*g)\/g*g\/(g*g\/(((g\/(g\/(g\/(g**(2\/5)\/g))))\/g)\/g*g*g*g)) assuming g is positive.\nAnswer: g**(3027\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -32\/3*w**3 + 4 + 3\/5*w**5 + 1\/15*w**6 + 10*w + 0*w**4 + 0*w**2. Factor u(i).\nAnswer: 2*i*(i - 2)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 69. What is the third derivative of -12*g**2 - f*g**2 + 24*g**4 + 50*g**2 wrt g?\nAnswer: 576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22610 or 35376?\nAnswer: 22610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdzzzzzezduzd. What is prob of sequence euz?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.05 + 0.2. Let v = 0.16 + -1.16. Let b = p + v. Round b to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*-1*142\/(-213). Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6564140 (base 10) in base 5?\nAnswer: -3140023030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.42 from 0.10884.\nAnswer: -3.31116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y. Solve y = 10*u - 12*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00597935062 to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 0. Which is the nearest to -3\/5? (a) 5 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaantpgt. What is prob of sequence ap?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1988648, 3977301, 5965954, 7954607, 9943260?\nAnswer: 11931913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2 + 4*o - 1. Let y(d) = -d**2 - d. What is -2*k(p) - 4*y(p)?\nAnswer: 16*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4991, 5278, 5565, 5852, 6139?\n\"Answer: 287*i + 4704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 90 + 21 + 23 - 130*q**3.\nAnswer: -130*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-606)\/(-24) - 2\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2403677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(1078))\/sqrt(2)*-3.\nAnswer: 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 1\/4 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 + -13.7. What is the second smallest value in m, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6200733ug in kilograms?\nAnswer: 0.0000000006200733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 10 = -2*w, c - 1 = -284*w + 283*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdv. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -229. Suppose -5*n + q = 24. Solve n*r = 14*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(180) + (2*sqrt(2420))**2.\nAnswer: 6*sqrt(5) + 9676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-28)\/u)\/u**34)**(-26\/7))**50 assuming u is positive.\nAnswer: u**11700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrrsunun. What is prob of sequence rnns?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-11875\nAnswer: 2256.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -29, -65, -113, -173, -245, -329?\n\"Answer: -6*p**2 - 6*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (3 + -1)) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69506040 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 220117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(44\/(-12) - -3). Suppose 2*s = p + 3. Suppose -5*m - 5*f = -135, 7*f = s*m + 3*f - 67. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 999692 - -2.\nAnswer: 999694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzf when three letters picked without replacement from aafjaaqzfafjffffjijq.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 89186634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - sqrt(1029)\/sqrt(3) - sqrt(84)\/(sqrt(12)*-2) - ((sqrt(567) - (sqrt(567) + sqrt(567)*-3)) + sqrt(567))*-4*-3.\nAnswer: -875*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbc when four letters picked without replacement from {c: 3, b: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 141715.\nAnswer: 1558865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 67*m**7\/42 + m**4\/12 + 60*m**3 + 198*m - 2. Find the second derivative of v(d) wrt d.\nAnswer: 1340*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -4?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 119. Let c = 40 - j. Is 0 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*8\/140*-7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/5 - 42*v**3\/5 + 138*v**2\/5 + 1562*v\/5 - 1452 = 0.\nAnswer: -6, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-220)\/15) - 123\/6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -129. What is the third derivative of -24*v**3 + 24*v**3 - s*v**5 + 5*v**2 wrt v?\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26404279 and 26404281 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j - 2*j + (-2*j + 3*j - 2*j)*(-1513 + 1233 + 1167).\nAnswer: -886*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118\/((-51)\/18 + (2 - (1 - 2))) is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -998, -997, -996, -995, -994, -993?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 6*k + 421. What is the remainder when 104 is divided by 212\/6 - 30\/k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 16756\/7 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 1 = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 248.\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/((-6)\/218))\/(17\/(-51))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-15) + 407*7\/21. Let d = 10 - 3. Find the common denominator of p\/39 + d\/((-28)\/8) and 80\/33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 32*m**2 - 3*m + 39. What are the prime factors of l(-22)?\nAnswer: 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11025 by 63.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-104)\/16)\/((-30)\/28) - 7. Which is the second smallest value? (a) -4 (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 + 26077366?\nAnswer: 26077516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 26130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeerr. What is prob of sequence er?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -0.2032 (c) -1265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqwggsgsowgwagoqwoo. Give prob of sequence sw.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 59 = -2*l - 35, 3*l - z + 166 = 0. Let a = -36 - l. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 9\/10*i**5 + 3*i**2 + 0*i + 33\/8*i**4 + 34 + 6*i**3. Find n, given that c(n) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33125004 (base 6) to base 3.\nAnswer: 1212100201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 44750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 751 or 749?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1296 - 834. Suppose 5*v - s = -r - r, -2*v + 5*r = -179. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4980*j - 15208*j + 6949*j)*(1 - 2 + 2)*(1 - 2 + 3) in the form r + a*j and give a.\nAnswer: -6558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t**5 - 328*t**4 + 1962*t**3 - 3948*t**2 + 784*t = 0. What is t?\nAnswer: 0, 2\/9, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 3, -10\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15194)\/40 - (-33)\/(-44). Let c = 380 + k. Sort 5, -2, c, 1 in descending order.\nAnswer: 5, 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000145251824 to 6 dps.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - 3*p**3 + 4*p**3 + 19*p**3 - 31*p**2 + 31*p**2 + (188 + 30*p**2 - 188)*(-3 + 3 - 2*p).\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338458 + -13537247\/40. Let t = -313\/8 + u. Calculate the common denominator of 27\/(-36)*82\/3 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -683.97 + -40.03. Sort -0.2, -1\/4, g in ascending order.\nAnswer: g, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/120 - 2*d**5\/15 - 4*d**3\/3 - 2*d**2. Let v be l(9). Let h = -103 + v. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31382*j*q*t**2 - 1281*j*q*t - 563*j*t**2*w - j*t*w - 5*j*w + q*t*w wrt t.\nAnswer: -62764*j*q - 1126*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 20 = r, -20 = -4*r - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -645*s**2 + 56 + 68 - 142 + 4640*s**2 + (s - 1 + 1)*(-2 + 2 + s) as p*s + u + b*s**2 and give b.\nAnswer: 3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186288880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (136\/12)\/((-2)\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c152 - -3?\nAnswer: -2c14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315280)\/(-11823)*30\/(-25)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*n - 191*n - 16615 - 10648 = 15289 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1265*j**3 - 466*j**2 + 2*j wrt j.\nAnswer: -7590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(5*sqrt(28)))**2 - sqrt(143)\/((sqrt(99) + sqrt(99) + sqrt(99)*1)\/sqrt(9)).\nAnswer: -sqrt(13)\/3 + 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90735 - -1?\nAnswer: 90736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5303 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 x(d) = 2304*d - 28171. Determine x(12).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q. Let x be n(16). Let t be x\/6 - -4*2\/(-24). Let k = t + 98. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (2\/12 + 65\/(-30)). Let x be (o\/3 - 3)\/1. Which is the nearest to 3? (a) -1\/3 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let h(z) = 1719. Let a(f) = -f + 9. Let k(i) = 191*a(i) - h(i). Calculate k(x(r)).\nAnswer: -382*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a week in hours?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 - 73 + 30*a)*(3*a**2 + 0*a**2 - a**2) in the form m*a + y + q*a**2 + j*a**3 and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)\/(c*c**(3\/11)*c))\/((c*c\/((c**(-8)\/c)\/c))\/(c\/c**(2\/5))) assuming c is positive.\nAnswer: c**(-1302\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10*n**2 + 2. Let p be x(10). Let z be 52\/(-136) + 1\/p. Which is the biggest value? (a) 3 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 20042398*b**2 - 50212164592768*b + 251061324024040.\nAnswer: -2*(b - 5)*(b + 5010602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/273*308100\/(-158)?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 3. Let q be h(0). Suppose 3*d = -0*d + q, 3*r - 5*d + 11 = 0. Let f be (-1 + (-2)\/(-4))*2. Is r greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6, -5*d - 206 = -d - 3*m. What is the common denominator of (-3)\/(24\/d) + -1 and -23\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594911 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 56*u**2 - 16. Let d(o) = -o**3 + 16*o**2 - 14*o - 12. Let f be d(15). Let n(v) = -11*v**2 + 3. What is f*q(s) + 16*n(s)?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**14*q))**19*(q\/q**(-3\/14))**43)**34 assuming q is positive.\nAnswer: q**(-46359\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 248*w**2 - 2992*w + 27744.\nAnswer: -4*(w - 6)*(w + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3513 * 94.5.\nAnswer: -331978.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s - 72. Let y(a) = -5*a - 10. Let k(x) = 2*r(x) - 15*y(x). Let g(u) = 6*u + 2. What is 11*g(o) - 4*k(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 2*t + t - 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 36*c + 5*y - 21 = 0, -10*c = 5*y - 65 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2. Let w(q) = -35328*q**2. What is w(s(f))?\nAnswer: -1731072*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 48 = 5*h, -4*b + 18 = -h - 30. Suppose -3 = 3*q - b. Let i be (-1)\/((q\/(-15))\/(5\/(-25))). Is i at least as big as 2\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/36 and 41\/112122.\nAnswer: 224244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 - 4*a + 7. Let c be 532\/(-228)*12\/7. Give q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsshhhshps. Give prob of sequence ps.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y + 34. Suppose 4*u = -0*u - o + 12, -5*o = -4*u + 12. Let f be j(u). Which is greater: f or 2\/137?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380952 + 4107.4.\nAnswer: 385059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) 0.2 (c) -3\/13 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 3*w. Suppose -2*g + 22 = -w*k, -2 = g + k - 1. Suppose x - 5*c = g, 2*c - 96 = -8*x + 3*x. Solve -5*n + 7 = -x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 9. Let a(o) = 9*o + 27. Let m(z) = 6*a(z) - 17*w(z). Let l(y) = -7 + 0*y + 21 + 5*y. Calculate -5*l(j) + 8*m(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let d(b) = -2*b + 9 + 4 - 13. What is d(x(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 8, c: 4, a: 3}. What is prob of sequence uauc?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1851915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99854853 at most as big as 99854854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.04 + -125185?\nAnswer: -125188.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from kbkbbkbebbkek.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 - -305. Suppose -17*o + 18 = -a. Suppose -5*g + 20 = 3*f - 27, -5*f - 55 = -5*g. What is the least common multiple of g and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3)*1*165\/(-44). Let x be -3 + m*1\/(-5). Suppose 4*k = 3 + 1, 3*f + 2*k + 10 = 0. Sort x, -2, f, 7 in ascending order.\nAnswer: f, -2, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, -67, -64, -61?\n\"Answer: 3*a - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1729)\/(-364) + 1\/4. Let f be 30\/y + -11418 - -2. Round f to the nearest 100.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 92. Let u = -43 - -76. Calculate the remainder when i\/8*(1 - (u + 2)) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06540583 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(18) + sqrt(18)*-1) - ((sqrt(216)\/sqrt(4))\/sqrt(3) + sqrt(18)))\/(sqrt(108)\/(sqrt(60)\/sqrt(5))*-3)*-1 + -1.\nAnswer: -1 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -3359248313.\nAnswer: -3359248310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.279 or 7?\nAnswer: 0.279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*j + 5*d, -j - 3*d + 15 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203596799?\nAnswer: 7, 19, 1530803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4 + b**3 + 10. Let g(d) = 3*d**3 + 2*d**2. Determine -3*g(o) + 2*w(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 35\/6*s**3 - 1 + 0*s**2 - s. Let j(t) = -6*t. Give j(l(h)).\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 15*k + 1 = -9, k = 3*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 2 - 2*a)*(9*a - 1 - 104*a + 0).\nAnswer: 190*a**2 + 477*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 4\/5, 34?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Suppose -27*j + 103 = -0*j - 32. What is the nearest to 1 in 2\/33, b, j?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23*s**2 + 47*s - 3572. Let o(y) = -10*y**2 - 7*y - 1. Let h(d) = b(d) + 3*o(d). Find the first derivative of h(l) wrt l.\nAnswer: -106*l + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54530?\nAnswer: 2, 5, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/18)*x)**8*(x\/x**(-3\/10))**36 assuming x is positive.\nAnswer: x**(2806\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))\/q)**5*(q*q\/((q\/(q*q*q**0))\/q))**8 assuming q is positive.\nAnswer: q**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300 - 151. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52314519*c**2 - 8207042*c.\nAnswer: -104629038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7661.\nAnswer: 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 60*n + 69. Let f be s(19). Solve -7*j = -f*j + 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/360 - 13*k**4\/144 - 5*k**3\/6 - 49*k**2 + 2*k. What is h in m(h) = 0?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -287*w**2 + 159*w**2 - 122*w**2 as r*w + h + v*w**2 and give v.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/4 (b) 10 (c) -3 (d) -89.5 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*w - 0*w, 3*w + 213 = 2*x. Which is smaller: x or 103?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -17245*b**2 - 8*b - 1. Let q be j(8). Let y = q + 1780376. Let g = 1406631 - y. What is g rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -g - 3*l, 0*g = 5*g - 4*l + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*b - 16 = 2*f, -4*f + 8 = -4*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from {n: 2, s: 4, g: 1, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (68 + -82)*(-201*3)\/((-315)\/(-30)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227220920 divided by -1070\nAnswer: -212356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361 - 821 + 593)*(-5*o + 5*o - o**3 + (o**2 - 2*o**2 + 0*o**2)*(-4*o + o + 0*o)).\nAnswer: -1178*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 6.\nAnswer: 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let r(d) = 7 - 7 + 16*d**2 - 43*d**2. What is r(k(x))?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -187000 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 148, 256, 386?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/21)\/o)\/o**6*(o\/(o*o**3*o))**(-1\/9) assuming o is positive.\nAnswer: o**(-410\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(686))\/((sqrt(63) - sqrt(7))*6) - (-3 + sqrt(288))*1.\nAnswer: -65*sqrt(2)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-946)\/(-132))\/(1\/40). Is 286 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 86*u**2 - 17268*u + 50976 = 0.\nAnswer: -118, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34999 - -60561. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/45 - 64\/180 - 15\/(2475\/2453)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -12. Let m = -2.4 - -1.3. Which is the second biggest value? (a) m (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1869, 1867, 1865, 1863, 1861, 1859?\nAnswer: 1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/5 in 0.4, 896, 28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 + 3*c + 9. Give f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - (-14 + -56))*1\/60.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*k - 4 = 4, -3*k - 10 = -4*c. Suppose -2*h + 2*w = -230, c*h - 260 = -5*w + 236. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.5. Let o = 21617\/3 + -7268. Let t = 63 + o. Which is the closest to 0.1? (a) d (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j + 3*s + 10, -4*s = 20. Determine d so that 4*d**j + d**4 + 7*d**4 - 8*d**2 - 4*d**3 + 0*d**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/7875?\nAnswer: 2\/7875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00596113 and 82.\nAnswer: -0.48881266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 996835557105 and -15.\nAnswer: 996835557090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*u**3 + 143*u**3 + 140*u**3 + 136*u**3 - 480*u**3 + 145*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -76. Suppose 3*o - 7*o = -j. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442076 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*x + 30 = 0, 2*x = -2*x. What is the remainder when 32 is divided by (-302)\/(-18) - i\/45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5850*t = -5843*t - 4*v - 118, 2*t - 3*v = 30 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 - 243426*f.\nAnswer: -2*f*(f + 1338843)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 506805 (base 9) to base 4\nAnswer: 1021103300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 356b01 - 1?\nAnswer: 356b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 102*o + 1. Suppose 0 = 5*c + 4*d - 11, 3*d - 1 = 4*d. Is u(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 35*o**2 - 114*o - 38. What is the tens digit of w(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2)*(1061 + -1076)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-23))*c*(((c**(1\/16)*c*c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-367\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**10*q*q**(2\/15))**(-22)\/((q*q*q**(-2\/5))**(-40)\/(q**(-1\/4)*q*q*q*q**(-2\/17)\/q*q)) assuming q is positive.\nAnswer: q**(-204307\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + -10000?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 - 3*f + 2. Let v = -182 - -56. Let r be 2\/(-10) + v\/45. Give m(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -59, -185, -435, -851, -1475, -2349?\n\"Answer: -7*v**3 + v**2 + 2*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 14. What is the second biggest value in j, -3, -1.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from giiggiggiiigi.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssasasahsaaassvvsas. Give prob of picking 2 a.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 5 + -2 + (-18)\/(-6). Sort -0.1, m, 29, 1\/3 in decreasing order.\nAnswer: 29, m, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-56 + 4 - (-653 - -645))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 - (-2 - -11 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 2, d: 7, t: 7, z: 1}. Give prob of sequence nn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 5*a**2 + 9*a - 7. What is the tens digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -232231021131?\nAnswer: 232231021131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 24*o - 31*o. Let x(z) = -z**2 + 11*z + 11. What is x(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.33, 8, -1, 2\/9, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16734225 and 351.\nAnswer: 1957904325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 - 91*n**4 - 9*n**3 - 104*n**2 + 11 wrt n.\nAnswer: 120*n**3 - 2184*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 18 = 10*b. Let s = 12 + b. Solve 4*w = 5*l + s, 0*l - 5*l = 4*w - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*d - 7*c = 44, -8 = 3*d - c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4 (c) -1\/5 (d) -12\/35 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(8 + -2 + -1). Suppose 3*w = c + 39. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249813299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 103*j - 73. What is the least common multiple of 70 and r(2)?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 702.3 + -702. Sort 0.6, -1, -0.3, l in ascending order.\nAnswer: -1, -0.3, l, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 0.207?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 25 = -4*o - o, y = -5*o - 5. What is the units digit of 0 + 6*(-1)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 3*i**2 + 3*i - 1. What is t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190024*q - 222639?\nAnswer: -190024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.4, 5, 2\/33, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 901?\nAnswer: 8ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 - 3. Suppose -c*i + 13 = 49. Let r = i - -9. Put r, -3, -2 in ascending order.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52109.\nAnswer: 107, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 10, 2 in ascending order.\nAnswer: 2, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**6\/15 - 4*p**5\/5 - 11*p**4\/12 + 4*p**3\/3 + 38*p + 4. What is the third derivative of h(c) wrt c?\nAnswer: -48*c - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4386483?\nAnswer: 3, 487387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2097670, 4195262, 6292854, 8390446?\n\"Answer: 2097592*p + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*(1\/(-6))\/((-2)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*r = -6*r - 23, 5*g + 4*r + 10 = 0. Suppose -3*i = 5*q - 15, -2*q + 12 = i + g*q. Let p(x) = -x**3 - x + 135. Does 13 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102007.\nAnswer: 3, 29, 37, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i + 25. Let w = 293 - 21. Let c = w - 268. Solve 0 = -i*k + 19 - c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 5) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 244843. Let s(h) = -9*h. Calculate j(s(g)).\nAnswer: -36*g + 244843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-7)\/5) + 3 + -1. Find the common denominator of ((-18)\/28)\/((-1)\/(-9)) and (r\/12)\/((-9)\/(2916\/(-16))).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 402645993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let k(g) = -974*g**2. Determine f(k(o)).\nAnswer: -974*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.547 * 0.5\nAnswer: -0.2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16065 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1848 and -125\/4954224?\nAnswer: 34679568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8316 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n + 15*n + 16 + 4*n + 4*n to the form h*n + f and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + r**2 + 4*r + 4. Let n = 0 + -4. Let c = 22 - 15. Let a(z) = -9*z**3 + 2*z**2 + 7*z + 7. Let t(v) = c*g(v) + n*a(v). Factor t(l).\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**13\/k)\/k)\/k)\/k)\/k**32*k**39\/k*k*(k**(1\/24)\/k)\/k assuming k is positive.\nAnswer: k**(337\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*j**2*k**3 - 1416*j**2*k + j*k**3 + j*k**2 - 6*k**2 + 2*k wrt k.\nAnswer: -114*j**2*k + 6*j*k + 2*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Suppose -9*c + 4*c + 10 = m. What is the second derivative of -5*b**4 - 5*b**4 - 2*b**4 + c*b**4 + b wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 650*g**2 - 182. Let x(c) = 36*c**2 - 10. Let j(v) = -5*r(v) + 91*x(v). Let u(a) be the second derivative of -7*a**4\/12 - 2*a. Calculate u(j(n)).\nAnswer: -4732*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2586773 or -2586772?\nAnswer: -2586772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -13) + (32 - 26) + 15\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 - 1150648*m + 2301280 = 0.\nAnswer: 2, 287660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:42 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iddi when four letters picked without replacement from {k: 2, i: 9, d: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/311 + -6238\/933. Let r = 109\/15 + s. What is the common denominator of ((-2)\/14)\/((-1)\/(-9)) and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-55)\/(-143)) + (-31 - -31).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421141 <= 421141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -4\/53, 2\/15?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -816, -1660, -2512, -3372, -4240, -5116, -6000?\n\"Answer: -4*l**2 - 832*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-14)\/(-21). Let h be (-3 + 0)\/(6\/(-4)). Which is the nearest to h? (a) -2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 + 3*l**2 + 29. Calculate b(3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*f + 2460 = 11148 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2108, -4213, -6318?\nAnswer: -8423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, 0, -0.4, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -331 + 347. Suppose -c*j + 3798 = -3770. What are the prime factors of j?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let r(s) be the second derivative of s**4\/12 - s**3\/3 + 2*s**2 + s + 20. Let c be r(w). Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**3 + 2*h**2 + 2*h + 1. Let s be 1 + (-3)\/(6\/4). Let k be d(s). What is the units digit of 1*(2 + -3)*k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 6, k: 9, o: 1, f: 1, v: 1, j: 2}.\nAnswer: 27\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let p(t) = -3*t**2 - 3*t - 3. What is -p(w) - 4*y(w)?\nAnswer: 3*w**2 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*z - 4, 5*c = 7*z - 3*z + 20. List the prime factors of ((-1)\/2)\/(c\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2. Let f(y) = -9*y**2 - 18*y. Let d(h) = -4*h**2 - 10*h. Let l(c) = -9*d(c) + 5*f(c). Calculate s(l(b)).\nAnswer: 405*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 1, l - 85 + 83 = -3*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3789 (base 10) in base 13?\nAnswer: -1956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 4*q - 4. Suppose 4*s + x - 20 = s, -2*s - 3*x + 25 = 0. Let k be d(s). What is the units digit of -1 + k + (9 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.643 and -12.\nAnswer: -11.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -0*d - 351. Let g = d + -33. Suppose 0 = -4*a - g*v + 3*v - 29, 4 = -2*a + 2*v. What is the second smallest value in a, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1313 - 1191. Is (-3 - -2)\/((-4)\/c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*k + k + 3, -3*k - 4*o + 5 = 0. Sort -6, 3, k in descending order.\nAnswer: 3, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + 1.9. What is the second biggest value in -4, -7\/2, w?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.65, -2\/7, 1953?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1964 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 + c**2\/2 - 3. Let q be f(1). Let u = 8 - q. Calculate the least common multiple of 9 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-15)*(-6)\/(-4). Suppose 31*c + 87*c + 62 = 180. Sort -3, u, c in ascending order.\nAnswer: -3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 386240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -14. Let l be d + (-18)\/(-4)*2. Suppose l*v = 10*v - 96. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(10)*-1))\/(sqrt(294)*1 + sqrt(294)).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*-2 + sqrt(88))\/(sqrt(8) + sqrt(8) + (sqrt(64)*1)\/sqrt(8)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g - 18. Give o(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let a(g) = -8*g - 4. What is 2*a(d) + 10*f(d)?\nAnswer: -6*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 0*i. Suppose 5*z = 5*s, -4*z = 2*s - s - 15. Calculate the remainder when (1\/i)\/((-2)\/(-36)) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 63789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53689 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 816 and -0.15.\nAnswer: 815.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2354*l**3 - 72 + 33 + 21 + 18 - 3550*l**2 wrt l?\nAnswer: 14124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * 3.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77761 - 49428. List the prime factors of g.\nAnswer: 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225*7204\nAnswer: 1620900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2. Let y(a) = -8 + 8 - a. Determine y(m(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**2 - 48*x + 48*x + (-x + 3 - 3)*(-4*x + 4*x - 3*x) - 14*x**2 - 5*x**2 - 4*x**2 + (2 + 2*x - 2)*(0*x + x - 2*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9882 and -35\/1242.\nAnswer: 227286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -630 + 5668\/9. Let r be ((-6)\/(-8))\/(9\/(-8)). What is the closest to -3\/2 in -4, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.8, -10, -0.007, -0.011 in increasing order.\nAnswer: -10, -0.011, -0.007, 18.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 141. Let p be (-10)\/3*m\/(-85). Solve -3*g = -g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16104 and 51.\nAnswer: 273768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52231212391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(704)*-2)**2 - sqrt(704)) + -2) + (-2*sqrt(3564))**2 + -5.\nAnswer: -16*sqrt(11) + 19879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -16. Let q = -10 - j. Does 0.42 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 + 7*w + 9. What is j(6)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*c**6*z**3 + 8*c**4*z**3 + 305*c**2*z**3 - 12*c**2 wrt c?\nAnswer: -2280*c**3*z**3 + 192*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 37. What is the highest common factor of 192 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3128*d**3 - 38 + 38 - 4277*d**3.\nAnswer: -1149*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3987414313633 and -0.5?\nAnswer: 3987414313633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2\/5 - 196446*j\/5 + 8497503 = 0?\nAnswer: 217, 65265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4296?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 19*c**2 - 1493*c + 5991. What is b(4)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3372771mg?\nAnswer: 0.0000000003372771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -1001041 + 1000901 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 184*h**2 + 1322*h + 1247. Give s(84).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2550.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 68*b**2 - 299*b wrt b?\nAnswer: -6*b - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 - 578*r**2 - 2*r + 578 = 0. Calculate r.\nAnswer: -1, 1, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2. Let i(r) be the third derivative of r**4\/12 - 7*r**2. What is i(x(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 * 4\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 10*c - 148. Let b(d) be the first derivative of -1\/12*d**3 + c + 1\/4*d - 1\/16*d**4 + 1\/8*d**2. Let b(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000114315312 to 7 decimal places.\nAnswer: -0.0001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023629 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(272))*-3 + 4)*3)**2*-1.\nAnswer: -22068 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13014324 (base 7) to base 4\nAnswer: 10200030030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 7306920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -214 - 20. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(5 + -3*(sqrt(60)\/sqrt(5) - sqrt(12)) + -1 + sqrt(432))*6)**2.\nAnswer: -258048 - 55296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*v - 5*c**3 - 7*c + 82*v - 4 wrt c?\nAnswer: 6*c**2*v - 15*c**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = -3*r + 35, r = -4*a. Suppose -r*f = -17*f. Solve f = -2*y - 2 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10012213 (base 6) to base 13\nAnswer: -9b319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + z**3 + 17*z**2 - 3*z - 17*z**2 + 1 to the form m*z + v + w*z**2 + r*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3073355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.86894881 + -487.\nAnswer: -490.86894881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.423 and 26.\nAnswer: 14.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*6340\/(-10). Let p = -169 - h. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -38*l + 15. Let o(z) = -2*z - 10*z - 7*z + 9. Let f(p) = -3*j(p) + 5*o(p). Let u(v) = 2*v. What is f(u(k))?\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3072 is divided by 1012.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 11 - 3*l**3 - 11.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 17*d**2 + 60*d - 1. What is the thousands digit of h(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.045 - 0.0417. Let a = 16.8333 - q. Let p = a - 16. Round p to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 288 - 7*r - 46*r + 5*r - 3*r**2 + 5*r**2.\nAnswer: 2*(r - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12100212 (base 3) to base 6.\nAnswer: 30035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 10*x + 8 = 0. Sort x, -15, 5 in descending order.\nAnswer: 5, x, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*x - 49 + 29, -3*s + 10 = 5*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*1526.\nAnswer: 2136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let w(h) = 2*h + 3. Suppose -4*v = 2*i - 0*i + 544, 408 = -3*v - 4*i. Let m = v - -132. Calculate m*t(d) - w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -u + 3*u. Suppose -5 = u*w + 10. Let k(m) = -2 - 5*m**2 + 4 + 2*m + 6*m**2. Calculate k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-13) - ((-3297)\/(-455) + -7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 252 = 2468. Let w be (4 + -3)*1*n. Let t = w - 57. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sitd when four letters picked without replacement from {w: 1, t: 1, d: 1, i: 1, r: 3, s: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-37 + 37 - 3*q)*((0 + 0 - q)*(-2*q - 2 + 2) - 4*q + 4*q + q**2).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*x = -194*x - 195*x - 4712 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) + -1*sqrt(156) - sqrt(156) - sqrt(156))*1)\/(sqrt(8)\/sqrt(2)*1))\/(-6*1*-6*(sqrt(3) + (sqrt(3) - sqrt(12)\/sqrt(4)) + sqrt(3))).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1720 (base 9) to base 15.\nAnswer: 5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u + 19*u - 20*u)*(2*u - u - 5*u)*(-16*u - 2*u + 5*u).\nAnswer: 1196*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xps when three letters picked without replacement from {s: 8, p: 7, o: 2, x: 2, b: 1}?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -91*v - 4. Let c(q) = -274*q - 11. Let j(k) = 4*c(k) - 11*y(k). Let u(f) be the third derivative of f**5\/60 - 723*f**2. What is u(j(g))?\nAnswer: 9025*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 8, r: 4, j: 2}. What is prob of picking 1 j, 1 p, and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z - 92. Give l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26890917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**5 + 5*q - 5*q**4 + 5*q**4 wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 737 and 35979.\nAnswer: 395769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 88. Calculate the greatest common divisor of t and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 5 - 13) + ((-46 - -3) + 2 - 7)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 2\/11, 60.56, -2\/3 in descending order.\nAnswer: 60.56, 2\/11, -2\/3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*u + 4*u + 45*u + 43*u as y + l*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 6, w: 5}. What is prob of picking 3 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14)*1*2268\/1944\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354133.\nAnswer: 13, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 796800 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -32\/13 (b) 0.068 (c) -5\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23541, 23529, 23503, 23457, 23385, 23281, 23139?\n\"Answer: -v**3 - v**2 - 2*v + 23545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 9. Suppose -w*m - 9 = 6, -m + 49 = 3*u. Let g = u + 38. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4870601912?\nAnswer: 2, 11, 55347749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/66)\/7*(-2948)\/(-201).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*t + t + 3*q, 0 = -2*t - 2*q. Suppose 3*f + 4*o - 96 = 0, 18*f = 13*f + 4*o + 160. Suppose t*a = 642 + f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2*m + 3. Let u be r(2). Suppose 7*o - u*o - 32 = 0. Suppose 5*s + 3855 = o*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let h(s) = s**2 + 2*s - 1. Let b be (-3)\/(-3)*(0 + 1). Let w be h(b). Let v(k) = w*k + 1 - 1. Determine 3*r(c) - 2*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -97+-0.0113366\nAnswer: -97.0113366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:06 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.4206177 to 1 decimal place.\nAnswer: 39.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*t + 19*t - 5*t + 1061*t**2 + 3*t - 237 - 8*t wrt t?\nAnswer: 2122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 16*t + 41. Let c be i(-13). Let r be (2\/c + -4)\/7. Let z = -20 + 20.5. What is the biggest value in r, 1\/5, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9\/4)*x\/x**0)\/(x\/((x*x**(5\/2))\/x)*x*(x**(-2\/21)\/x*x)\/x))**(-2) assuming x is positive.\nAnswer: x**(-29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 13. Let w be r(-11). Let l be 2*10\/4 - 2. Let t(x) = 3 + 2*x + 0*x**l + 0*x + 2*x**3. Determine t(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + -0.0568947?\nAnswer: 115.9431053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + 1. Let d = 16.7 - g. Let j = -14 + d. Are j and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.688196cm to kilometers.\nAnswer: 0.00009688196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88b15 (base 13) to base 9.\nAnswer: 417100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.11, -3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871413011.\nAnswer: 7, 37, 480647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101236.00000048063 - 101236. What is n rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/(t*t**0))**(2\/31) assuming t is positive.\nAnswer: t**(16\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 1, m: 3, q: 1, e: 2, y: 1}. What is prob of sequence ys?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -776*b + 11. Let q be s(9). Let i(h) = 34*h + 98. Let c be i(-3). What is the tens digit of c\/10 - 0 - q\/95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (320 - 647 - 670)*(3*g**5 - 7*g**5 + 6*g**5).\nAnswer: -1994*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/619, -4\/5, -0.02, -0.9, -4 in decreasing order.\nAnswer: 2\/619, -0.02, -4\/5, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -72\/5. Suppose -2*c + 4 = 3*a, -2*a + c - 13 = -4. Let w = a - -2. Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 < -195\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -52. Suppose 0 = -y*f, -i = 4*i + 5*f - 15. Let m be 0*(4 - 6 - -3). Solve -3*d = -j + 5*j + 27, m = i*j - 3*d - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27916*d**2\/5 + 949152*d\/5 - 272\/5.\nAnswer: -4*(d - 34)*(6979*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/(a\/(a*a*((a**23*a)\/a)\/a))*a*a)\/a))\/a)**20\/(a**(-2\/17)*a*a**(1\/59)*a) assuming a is positive.\nAnswer: a**(-523465\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*a - 85*a + 225*a.\nAnswer: 59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(47440\/(-2732544))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*z - 117 + 22, -3*v + 35 = 2*z. Solve 4*t = -t + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/22)\/((-2)\/3644*-1). Let r = q + -3679\/4. Is 0 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4374889458 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 436245 and 27305.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 = 5*y - 5*d - 1703, -15*y + 4*d = 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004716305245 to six decimal places.\nAnswer: 0.004716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1087625416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 38115*u + 114300.\nAnswer: 5*(u + 3)*(u + 7620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1378\/(-12)*(-5739)\/24869?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2\/3 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 59 = -438*p + 442*p, 20 = -5*p. Solve -123 = -w*o + 56*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4135880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 18*h + 9. What is n(-14)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 824348336 and 1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1\/96*k**6 + 1\/32*k**4 + 0*k + 14*k**2 + 0 + 1\/840*k**7 + 0*k**3 + 7\/240*k**5. Factor w(t).\nAnswer: t*(t + 1)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85815 and 10440?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.04 + -0.04. What is the nearest to 0 in -3\/22, o, -1\/3, -3?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v. Let x(z) = -z**2 + 5*z. Let l be 9\/((-56)\/(-16) - 5). Give l*x(d) + 5*c(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80987580 is divided by 1262?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110110001001101010 (base 2) to base 12.\nAnswer: -a45836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.14 - -307\nAnswer: 309.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.37 in -55, -5, -8, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 5067565409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 5*p + 17*p - 65*p - 104*p - 43 + 43 - 18*p**2 + (2 - 2 + 2*p)*(0*p + 2*p - 4*p).\nAnswer: -23*p**2 - 147*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222165862 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 + 13*i**4\/24 - 5*i**3\/3 + 743*i**2. Let v be ((-66)\/15)\/((-2)\/5). Calculate s(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 - 1164*f**2 + 1161*f = 0. What is f?\nAnswer: 0, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e3e3 + -16?\nAnswer: -e3f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**3 - 2*a**2 + 1. Let y be q(1). Suppose -14 + 6 = -y*k. Suppose 3*f - 8 = m + 3, m - 7 = -3*f. Solve k*x - x = -f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u - 12. Suppose -2*r = -x - 12, -x - u*r + 11 = -7. What is the units digit of (204\/30)\/(x\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1468\/3 + -468. Let o = -21 + l. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -344 + 352. Suppose 0 = a*f - 411926 + 87126. What is f rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*n = -531, 3*k - 285 = k + 5*n. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298215328 to the nearest integer?\nAnswer: 17269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 609606696 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 6*l + 5*b - 1803, -b = 5*l - 4542. What is the greatest common factor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-4\/3)*x**12*(x\/x**24)**21 assuming x is positive.\nAnswer: x**(-1406\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b)**(1\/91)*(b**(3\/2)*b*b)\/b**(-3\/11) assuming b is positive.\nAnswer: b**(7575\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.239969m?\nAnswer: 623.9969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -132.5. Let d = 0.06 + -5.06. Let g = 5 + d. Which is the smallest value? (a) t (b) -4\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*o + 4, 2*k - 5*o = 4*k + 10. Let f(q) be the third derivative of 1\/540*q**6 + k + 4*q**2 - 1\/108*q**4 + 1\/9*q**3 - 1\/90*q**5 + 0*q. Factor f(a).\nAnswer: 2*(a - 3)*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**50*(z\/(z**2*z)*z)\/((z*z**7)\/z) assuming z is positive.\nAnswer: z**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-26 + -4 - -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27135 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1116963, 2234047, 3351131, 4468215, 5585299, 6702383?\nAnswer: 7819467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + l - 18 = -7*q, 0 = -2*q + 2*l + 12. Suppose 0*w - 8 = -q*w. Let d = 8 - w. What is the smallest common multiple of d and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.6945l?\nAnswer: 58694.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213846344 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13262 and -95\/8554.\nAnswer: 56721574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*s - 462 + 198, c + s - 48 = 0. Let k(x) = -7*x. Calculate the smallest common multiple of c and k(-5).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -54*l - 9. Let f(k) = -k. Calculate y(f(i)).\nAnswer: 54*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 - -11022000121112?\nAnswer: 11022000110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -378*l**2 - 2228*l + 233. Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {g: 1, e: 5, l: 1, v: 5, a: 6, q: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1722.\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6673 divided by -267\nAnswer: 6673\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3416, -3411, -3404, -3395?\n\"Answer: w**2 + 2*w - 3419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 22\/3*p + 10\/3 - 4\/3*p**4 - 2*p**2 - 22\/3*p**3 = 0.\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2)\/sqrt(6) - (sqrt(68) + 2*sqrt(68))\/sqrt(4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1607346 and 1607346 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.123972352117.\nAnswer: -0.176027647883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 2*r - 1, w - 4*r = -7. Let i(z) = -4 + w - z + 5*z + 1. Let p(n) = 3*n - 2. Calculate 2*i(g) - 3*p(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/1)\/(188\/470*30\/(-8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*g + 24 - 7, 1 = -g. Suppose 1 = -3*p - 3*q - 8, n*q + 6 = 4*p. Let a = -2 - p. Let m(l) = -7*l**3 + 2*l**2 + 2*l + 1. Calculate m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**2. Let m(t) = -t - 12 + 12 - 2*t. What is d(m(p))?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 2*k**2 + 1. Let h be q(1). Suppose -5*g - 3*f + 402 = 0, h = -g + 4*f + 113 - 28. Let y = -55 + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 8*f + 5. Suppose 2 = -3*u + 14. Suppose 12 - u = 4*l. Let z(i) = -i**3 + 4*i**2 - 3. Let g be z(l). Give v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.655 + 547.655. Let s = 135647833424 - 135647832876.99999559. Let d = i - s. Round d to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/5 + 416*a**3\/5 + 50807*a**2\/5 + 206624*a - 83542272\/5 = 0.\nAnswer: -176, -93, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19125 - 19135. What is the nearest to a in 0.2, -4, -0.038?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056620061 rounded to five decimal places?\nAnswer: -0.05662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/(-85) - (-60062)\/10. Let v = d - -3955. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4519 is divided by 173?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 20, 5*x - k = 3*k + 375. What is the remainder when x is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87786, -350989, -789660, -1403799, -2193406?\nAnswer: -3158481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 459958, 920020, 1380082?\n\"Answer: 460062*g - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1120269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2769*v + 2771*v - 260*v**2 - 200*v**2 - 2)*(3 - 5 - 1).\nAnswer: 1380*v**2 - 6*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2497937, -4995856, -7493777, -9991700?\n\"Answer: -y**2 - 2497916*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60176 - -127?\nAnswer: 602a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63694 (base 15) to base 16\nAnswer: -4cfe4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -18.\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11602 - 11604. Let x(w) = 7*w**2 - 3. Determine x(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8)*-2)\/(64\/(-128)). Let m = -6 - -7. Let l = m - 1.3. What is the second biggest value in l, 2, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -1)\/((-2)\/(-82)) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 32 = 4*j - 8*t, t - 24 = -5*j. Solve 5*c - j = 4*c - x, -3*x = -3*c + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/155, -10, -0.8 in descending order.\nAnswer: -2\/155, -0.8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) 9 (c) -0.2 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf - 2a?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 8. Suppose -12 - m = -4*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7845*i**2 - 23525*i**2 + 7837*i**2 + 7843*i**2 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -933*o - 95144. Determine a(-102).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6069 - 206345\/34. Sort 4, 5, -0.05, n, 0.4 in decreasing order.\nAnswer: 5, 4, 0.4, n, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, q: 11}. What is prob of sequence qdqq?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/3)\/(-1 - 2). Let u(v) = 9*v + 17. Let q be u(-2). Which is the second biggest value? (a) -4 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 7*m**3 + 464*m + 1 - 464*m to z*m + a + u*m**3 + f*m**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*a + 13, 3*v - 5*a + 29 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 1848028.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 164?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**3\/2 - 7*k. Let n(y) = -10*y. Calculate n(w(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1343 = -5*c + 4352, 3*a = 3*c - 3435. Is 2\/24*6*c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/7 - 106*m\/7 - 107\/7.\nAnswer: (m - 107)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, -29, -5, -2, -287, 3 in ascending order.\nAnswer: -287, -29, -16, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 2:05 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2597526, 10390100, 23377722, 41560392, 64938110, 93510876, 127278690?\n\"Answer: 2597524*r**2 + 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662 is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/14)*w)\/w**(2\/23) assuming w is positive.\nAnswer: w**(363\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 6*m - 4*m**2 - 2*m**3 - 5 - 2*m. Let t be r(-5). Factor -2\/7*l**4 + 2\/7*l**3 + 0*l + t + 0*l**2.\nAnswer: -2*l**3*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 4*t**3\/3 + 2*t**2 + 5. Solve g(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201250 (base 6) to base 14\nAnswer: 5ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(-6*(1 + -2*(sqrt(108) + 1)) + 3))*2.\nAnswer: -432*sqrt(3) - 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/5 - 232*u**3 + 405238*u**2\/5 - 37676184*u\/5 + 7454421 = 0. Calculate u.\nAnswer: 1, 145, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/12708 - 207553\/139788. Find the common denominator of -43\/33 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o - 2 = 0. Let f be -6 + 4 + (441 - o). Let k = f - 98. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 4*a - 5*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39699497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23247, 23249, 23253, 23259, 23267, 23277?\n\"Answer: i**2 - i + 23247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + c - 27358 = 0, 0 = -3*l - 15*c + 21*c + 16461. Calculate the least common multiple of l and 11.\nAnswer: 60203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35*b + 215. Give q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, 1, 24, 63, 124, 213, 336, 499?\n\"Answer: g**3 - g**2 + 9*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2002*c**3*p**2 + c - 17*p**2 - p wrt c?\nAnswer: -12012*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 619565\/(-80179) - (-36)\/(-11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 11*s - 8. What is j(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7065668*l**3 - 7065580*l**3 + 14131241*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -73. Suppose -4*l = 15 - i. Let a(h) = -20*h - 4. Calculate the lowest common multiple of a(-1) and l.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 5 + -58 + -2 + 1. Let a = z + 74. Suppose 0 = 2*b + d - a - 9, 5*d = -5*b + 80. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244879 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*sqrt(396) + -2*(sqrt(99) - sqrt(99)*2).\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7787 and 13777?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 f, and 1 z when four letters picked without replacement from {f: 2, w: 6, z: 2, t: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 1 - 6*z**2 + 1 + 4. Suppose -d = 4*d + 10. Let v(f) = -f**2 - f + 1. Let k(a) = d*v(a) + c(a). Factor k(r).\nAnswer: -(r - 2)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12095389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let h be ((-2)\/(-4))\/(f\/18). What is the second derivative of 6*l - h*l**3 + 2*l**3 - 2*l**3 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16074 + -11138. Suppose -37*q + y = -29*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = -160. What is the least common multiple of 20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d = -105. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 31. Let f be z(7). Let h be (-7 - (f + -7))*-10. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 + 1444.716262\nAnswer: 1441.916262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/13 + 15064*v**2\/13 + 22338842*v\/13 - 1830566412 = 0?\nAnswer: -4117, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k - 3. Let n(r) = -4*r + 1. Suppose 0 = 3*f + 16*f + 82 + 127. Determine f*n(p) - 4*g(p).\nAnswer: -8*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*6 - sqrt(228)\/(1*sqrt(12))) + 1 + (2*sqrt(171)*-3)**2*4.\nAnswer: 17*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96\/139 + 8147\/6116. What is the common denominator of y and (-1)\/(-30)*(-895)\/10?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/6 + 80*c**3\/3 + 7145*c**2\/6 + 27385*c\/3 - 38836 = 0.\nAnswer: -76, -73, -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/846 and 13\/423.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -37?\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37308, -149881, -337484, -600111, -937756, -1350413, -1838076?\n\"Answer: l**3 - 37521*l**2 - 17*l + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -2*c**9\/21 + c**8\/336 - 14*c**5\/15 + c**3\/3 + 2*c**2 + 49*c. Find the third derivative of n(l) wrt l.\nAnswer: -5760*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y + y)*(-y**2 + 2*y**2 + y**2) + 2*y**4 + 2*y + 12 - 12.\nAnswer: 4*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) - 14\/(-4). Let d = -8 + b. What is the common denominator of (-67)\/16 - (-3)\/d and -19\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 8, -1, 227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240351 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*252\/210\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7652 - -8309. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-6\/13)\/(r*r**(-2\/3)*(r\/(r\/(r**(2\/7)\/r*r)))\/r) assuming r is positive.\nAnswer: r**(1396\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 - (4 + 3 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -r - 20. Let l be (r + 3 - -1) + -2. Suppose 2*n + n - 3 = 0, 2*h - 3*n = l. What is the highest common factor of h and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89183.0238335 + -89183. Let f = -87.0360335 + i. Let t = f - -87. Round t to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -11*y**6\/15 - 9*y**4\/4 - 26*y. What is the third derivative of m(u) wrt u?\nAnswer: -528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384437615 rounded to the nearest one million?\nAnswer: -384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 1, k: 2, s: 2, u: 2}. Give prob of sequence smtk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1096802501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.049 + 5.151. Let y = 0.2 - b. Let p be (-3)\/2*(-3)\/(63\/(-4)). What is the nearest to 1\/3 in y, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*560191\nAnswer: 168057.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/i**(-3))*i)\/i)\/i**30*(i**3\/i)\/(i\/i**(-2)))**(-34) assuming i is positive.\nAnswer: i**1122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5113163907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 120 + 2*c**3 + 5*c**2 - 124 + c**4 to m*c**3 + b + d*c**4 + h*c**2 + p*c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1239 and 3312791.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 15*a**2 - 9*a + 27 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 25*p = -12*p + 592 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 47 - 36. Let u = 38 - 6. Calculate the remainder when u is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*q + 4*q + 1196 + 500 = -34*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*r + 4*r + r)*(0 + 0 + 2 - 3 + 2 + 3 + (-1 - 4 + 3)*(-1 - 2 + 1)) to t + m*r and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2841 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-16)*55\/((-605)\/(-88)). Let p(l) = -l**2 + 5*l - 9. Suppose 4*w + 3*a = 17 - 8, 0 = 4*w - 5*a - 49. Let t be p(w). Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114194354, -114194340, -114194304, -114194234, -114194118?\nAnswer: -114193944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2*4 - (sqrt(2) - (sqrt(8) + 2)).\nAnswer: 2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(-4 + sqrt(1539) + -1 + sqrt(1539) + -1)*-3)**2*-6 + 5.\nAnswer: -5349880 + 186624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4445 by -5.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 l, and 1 n when four letters picked without replacement from {m: 6, n: 1, l: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*s**6 + 26*j**3*s**5 - 3*j**3*s**2 + 7*j**3 - 2*j**2*s**2 wrt s?\nAnswer: 240*j**3*s**3 + 1560*j**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*y + 2*y + 4, 3*y = 8*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 4*v**2 - 2*v + 2. Let u(j) = j**3 - 3*j**2 - j + 2. Let k be 3\/(-5)*(-10)\/2. Calculate k*s(p) - 4*u(p).\nAnswer: 2*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gryyrysgryyryrgy. Give prob of picking 2 g and 1 r.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*f = -130, u = f + 14 + 13. What is the smallest common multiple of u and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2885*c + 31738. What is l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/7*b**4 - 2\/7*b**3 - 2\/7*b**2 + 2\/7*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 385 = 19*u - 15 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.2091.\nAnswer: 1.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (464\/(-6) - -1)*(-9 + -33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*n - 31812 = -6584, 2*l - n = 50510. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4150.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35588\/533 + (-15)\/(-65). Solve -82 = -5*p - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 11 + 5. Suppose -3*k + 0*k = 5*v - j, k + 2 = 0. Solve 3*z - 19 = -2*w, 34 = -v*z + 5*z + 5*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167188821.84 - 9\nAnswer: 167188812.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -25*w**8\/336 - 7*w**5\/15 - 38*w**2. Find the third derivative of p(z) wrt z.\nAnswer: -1500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97008\/(-69748) + (-120)\/(-84).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32889 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p**2 - 2*p**2)*(-1 - 2*p + 1) + p - p + 2*p**3 - p**3 - 2*p**3 + 4*p**3 + 8*p**3 + 4*p**3 - 16*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -61228.\nAnswer: -3\/15307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -281? (a) 9\/16 (b) -0.4 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-7)))**(-21))**17 assuming f is positive.\nAnswer: f**(-2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 8*z**2 - 10*z - 7. Let q be p(-9). Suppose -q*g + 1073446 = -270860. Let x = -172153 + g. Round x to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyllyyyyyyyyll. What is prob of picking 3 y?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 160 = t, -2*z - 756 = 6*t - 11*t. Let i = -140 + t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072122439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*n = -2*n - 10, 0 = s - n - 3. Let o be (-3 - (-6)\/s)*-16. Let q be 28\/o + 2\/(-3). What is the closest to 1\/4 in -4, q, -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5.1. Suppose -29*x = -24*x. Let v = -0.1 + 0.3. Which is the closest to u? (a) x (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 17*s**2 + 23*s - 8. Give r(16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 6, 26998?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:19 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 2. Let x(q) = -7*q + 12. Let f(m) = -6*o(m) - x(m). Let y(g) = 2*g**2 - 22*g. What is y(f(u))?\nAnswer: 2*u**2 - 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 944, 5, -54.\nAnswer: -54, 0, 5, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -385 + 389. Which is the nearest to -3? (a) -1\/9 (b) -2\/3 (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184670 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.006 - -0.794. Let l = 2.75 + 0.05. Let p = m - l. Is -0.27 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152\/5, 1\/4, -2\/5, 3, 1\/2 in ascending order.\nAnswer: -2\/5, 1\/4, 1\/2, 3, 152\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 19.2. What is the nearest to s in -1.2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98661.\nAnswer: 3, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.2. Let k = 1.9 + d. Let n = -1.9999996 + k. Round n to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18999)\/132993)\/(((1\/(-7))\/(-1))\/((-120)\/(-14)))\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -59, -54, -49, -44, -39?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 26 + g - 3*g - 30. Let a(q) = 2*q + 4. Suppose 2*v + 5 = -49*s + 50*s, 0 = 5*s - 5*v - 20. What is s*a(p) + 2*h(p)?\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/70 - w**6\/40 + w**5\/20 + w**4\/8 + 18*w**2. Factor o(x).\nAnswer: -3*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*m - 0*w - 225, -m = 4*w - 30. Suppose -2*b - b + m = 0. Calculate the smallest common multiple of (4 + 0)*2\/4 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 110848.\nAnswer: 332544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/91035 and 87\/4710700?\nAnswer: 296774100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333, 686, 1063, 1476, 1937, 2458?\n\"Answer: 2*x**3 + 339*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 - sqrt(2)) + 5 + 1 + 1.\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**6 + 570*r**4*y - r**3*y - 2*r**2*y + 1543*r**2 wrt r?\nAnswer: -720*r**3 + 13680*r*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -305473 (base 9) in base 15?\nAnswer: -38a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7734*x - 58*x**2 - 75*x**2 - 7733*x + 135*x**4 wrt x?\nAnswer: 3240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -33.1. Let g = -3 - -8. Let k = 10 - g. Sort f, k, 0.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590736176 rounded to the nearest one million?\nAnswer: 591000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43872853*d**2*k**3 + 6*d**2*k**2 - 6*d**2*k - 4*d**2 - d*k**4 - 60*k - 304 wrt k.\nAnswer: 263237118*d**2 - 24*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-9 - -4) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0720087 + 0.072. What is c rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*41.4.\nAnswer: 1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 17*c**2 + 20*c + 52. Let n be v(18). What is the greatest common divisor of n and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 10*g**2 - 233*g - 995. Calculate c(-5).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = -3*l. Factor 2*t**5 + 0*t**l + 0*t**3 - 13*t**2 + 9*t**2 - 6*t**3.\nAnswer: 2*t**2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 79. Suppose -3*k = -r + 1231, 0 = g*r + 5*k + 748 - 4497. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -4 (b) -1760 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 77, 104, 131, 158, 185?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*h + 7 = 0, 4*i + 2 = 2*h - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u - 4. Let n be o(-4). What is the common denominator of -25\/16 and -2 + -1 - (-147)\/n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13264 and 14576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289692.7 + 289692.60000105. Let o = j + 0.1. Round o to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20724 - -248537\/12. Find the common denominator of 103\/90 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 14 + 5)*(-4*s**4 + 6*s**4 - s**4) - 849*s**2 - 32*s**4 + 849*s**2.\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 1. What is o(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 divided by 94?\nAnswer: 1147\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 7, 27, 69, 139, 243, 387, 577?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 873, 920, 997, 1104, 1241, 1408?\n\"Answer: 15*r**2 + 2*r + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5602718 and 46999?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403797361 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596386 is divided by 90.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7522029339 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10*(-2)\/6)\/(32\/48). Suppose -g*f - 4*h + 2150 = 0, 5*f + 3*h = 3*f + 860. What are the prime factors of f?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 5*b**2 + 5*b - 3. Calculate the remainder when j(3) is divided by -1 + (-10)\/4*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 5*y + 106.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -45, -162, -389, -762?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176627187 and 58875729.\nAnswer: 176627187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 31*f**2 - 92*f - 229. What is p(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(42) + sqrt(672))\/sqrt(6))**2 + -5.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -415464 divided by 21\nAnswer: -19784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 15*l**2 - 49*l + 138. Determine s(17).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3151789 - 486719. Let g = -2665091.999916 + p. Let s = g - -22. Round s to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 4*t**2 + 18*t + 14. Let q be v(-12). Suppose 0 = -4*o - 20, -4*p = -o - q + 561. Calculate the remainder when p\/(3 + 0) - 1 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -369? (a) 0 (b) 25 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*u + 6*u**3 + 26*u + 23*u**3 wrt u.\nAnswer: 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448 is divided by 85?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/10)*l*l)\/l**(-2\/5)*l**1\/l*l\/(l**(-6)\/l))\/((l\/(l**1\/l))**(-2)\/(((l*l\/l**(-2\/3))\/l)\/(l\/(l*(l*l**0*l)\/l)))) assuming l is positive.\nAnswer: l**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/5 (c) 0.1 (d) -0.1 (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/44175860 and -38\/47535.\nAnswer: 132527580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878972, -878746, -878520, -878294, -878068?\nAnswer: -877842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a factor of 205006770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 88408*u**2 + 3096482*u - 10971272 = 0. Calculate u.\nAnswer: -44239, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80616*d - 8086 = 80927*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 27) + 261\/29.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/3 - 4*o. Let t(l) be the second derivative of 1\/12*l**4 + 0*l**3 - l + 0 + 0*l**2. Determine n(t(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 - 3*q**4\/8 + 7*q**3\/6 - 10*q**2. Let n be w(-7). What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61\/3 - -20. Which is the nearest to 0? (a) -0.4 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 - 0.03. Let f(c) = -2*c - 3. Suppose -3*l + 12 = i, 0*i + 4*l = -4*i + 8. Let o be f(i). What is the second smallest value in u, 0, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*k**2 + 0*k - 1\/4*k**4 + 1\/4*k**3 + 0 = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*s - 1, 0*s + s = 5*y - 23. Suppose 2*n = -y + 14. Suppose 0*l - 8 = -n*p - 4*l, 4*l + 4 = -2*p. What is the highest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:19 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-24) - 248\/(-6). Suppose -k*t = -46*t + 415848. Suppose j = -t + 19208. Round j to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 + 175. What is the remainder when 32 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002645289203 to seven dps.\nAnswer: 0.0002645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Suppose 5*y - 3*g = 13, 4*g + 1 + 7 = 2*y. Let n(x) = 0*x**2 - 2*x**y - x**2. What is n(d(s))?\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(847)*-3 + 0 + 4)*3 + 0)**2.\nAnswer: -5544*sqrt(7) + 69391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -40. Let y(n) be the second derivative of 3*n + g*n**4 - 1\/3*n**3 + 0*n**2 + 3\/20*n**5 + 0. What is the second derivative of y(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 21. Let z be c(7). Which is smaller: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*k - 30 = 60*k. Let q(b) = -k + 3*b**2 - 22*b - b**2 + 2*b + 0. Let n be q(11). Solve 3*w = -22 + n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*a - 18 = 0, -g - 2*a = -40 + 37. Let u(l) = 3*l + 16. Calculate u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = -u, -2*n - 6 = -0*n + 4*u. Let m = n + 8. Suppose -6*k = -k - 10. Solve -m*f = k + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*k = -505*k - 20980 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/5 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*s**4 - 40\/3*s - 25\/3 - 2*s**2 + 8\/3*s**3 = 0 for s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 1634*j**4 - 6524*j**3 - 6520*j**2.\nAnswer: -j**2*(j + 2)**2*(j + 1630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/11 and -43\/155?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 0*1\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, e: 5, g: 4, x: 1}. Give prob of picking 1 e and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/984 and -85\/4264.\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6071 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7*v + 2. Let u be i(7). Suppose 10 = -u*n, 3*n = 2*o - 333 - 52. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96313296 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -240 (b) 2\/7 (c) 0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7))**49)**(-17\/2) assuming x is positive.\nAnswer: x**(5831\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 75 = -3*a, 0 = -3*a - 2*i + 63. Let s(y) = -a*y + y**2 + 23*y. Let w(l) = 7*l + 10*l - 20*l. What is w(s(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -5437*p**7\/42 + 23*p**4\/6 - 4*p**2 + 4*p - 57. Find the third derivative of y(u) wrt u.\nAnswer: -326220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (107 - 18) - 94.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82133 or -82174?\nAnswer: -82133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrbbbbbrrrrbxrbbrxb. What is prob of sequence brrx?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**2 + 8*s + 2. Let w = 14590 - 14597. Let v(p) = 8*p**2 - 7*p - 2. What is w*v(j) - 6*f(j)?\nAnswer: -2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - s)*(-2 + 0 + 0) - 2 - s + 2 - 4*s - 2*s + 4*s + (-4 + 0 + 5)*(2*s + 2*s - 3*s) + 3*s - 3 + 0 + 1.\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 6*d - 6*d)*(23 + 4 - 17 - d) in the form j*d + u*d**2 + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65.32 + -64.32. What is the fourth biggest value in 5, 95, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = -0*y. Solve -4*x + y = 5*f, 3*x = 5*f + 12 + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49131, -48883, -48193, -46839, -44599?\nAnswer: -41251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(19)*-3*-2)**2 - (2*sqrt(684) + (sqrt(228)*2)\/sqrt(12))**2)*-6.\nAnswer: -360*sqrt(19) + 18090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyuyafyy. Give prob of sequence yf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.6, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 78?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52718 - 20527. Suppose -2*x + r = 2*l + l, 0 = -5*x + 5*l + 80515. What is x rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2367.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1227\/5 - 3479\/10. Let q = r + 93. What is the common denominator of ((-2)\/12)\/((-60)\/(-2178)) and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142720*q - 142720*q - 7*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -35575.\nAnswer: -4\/35575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 66. Suppose 0*w = 4*w - t. Suppose 5*a - w - 79 = 5*v, -2*a - 4*v = -38. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38775 and 14700?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 56. Which is the closest to 0.1? (a) -3\/2 (b) -0.068 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11975094 divided by 1995849?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -6, -3, -5, -28\/3, -0.1 in decreasing order.\nAnswer: -0.1, -3, -5, -6, -28\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 6}. What is prob of picking 1 u and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 24891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/10 + (-3)\/(-5). Let w be ((-14)\/j)\/(1\/(-2)). Let i(c) = -c**2 + 3*c + 2. Let z(h) = 4*h**2 - 10*h - 7. Determine w*i(o) - 2*z(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12741172\/29 < -439352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*k - 2*k. Let j = 4 - k. Sort -1, -3, j in increasing order.\nAnswer: j, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:24 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 9*m - 444778 = -2*h, 2*h + 3*m - 444775 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/12, 0.3, 1\/2, -2, 31450?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1909792 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -133. Suppose 2*v = r*h + 130, -5*v = -2*v - 2*h - 198. What is the highest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-858))\/((-3002)\/(-58539)).\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 523 - 22235?\nAnswer: -21312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.2751694 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4485 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 13, 27, -1.\nAnswer: -5, -4, -1, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -68, 456, -2 in ascending order.\nAnswer: -68, -3, -2, 5, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5250 = 3*u - c - 5231, -5*c - 7 = 2*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-74550)\/770 + (5 - 1) - 2\/11\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**38\/x)\/x))\/x*x**(2\/89))**15 assuming x is positive.\nAnswer: x**(-48030\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2231*h**2*i**3 - 2*h*i**3 + 3*h*i + 122*h + 6 wrt h.\nAnswer: -4462*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - -1100011100111010110?\nAnswer: 1100011100110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9004 divided by 3.\nAnswer: -9004\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6132\/4161)\/((-14)\/(-4)))\/(-4) - (-816)\/9196?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 22 = -3*f, f + 5*g = -4*f + 45. Let o be (22\/(-5))\/(5\/25). Let d = o - -38. What is the smallest common multiple of f and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19670, 19692, 19716, 19742, 19770?\nAnswer: 19800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -286. Let r be (-2523 - -3)\/y + 2\/(-1). Calculate the highest common divisor of r and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 3*l - 67 - 66 - 4*l + 135 + 1061*l**2.\nAnswer: 1061*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 31*n**3 - 9654*n**2 + 6*n + 12. Let u(q) = 67*q**3 - 19312*q**2 + 13*q + 26. Determine 13*a(p) - 6*u(p).\nAnswer: p**3 - 9630*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 17*i - 19344. Suppose -22*u + 82 = -i. What is the remainder when 140 is divided by u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 59623*j - 655747. Give p(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 3. Let w be l(3). Suppose 0 = -0*i + w*i - 216. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhh. What is prob of sequence lh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4 + 3 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*d**4 - 137512*d**3*i - 2652*d*i - 4*d + 3084 wrt d?\nAnswer: -4428*d**2 - 825072*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/5 (b) -1 (c) 50 (d) 5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18435.\nAnswer: 3, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*w - 377 = -9*w - 575 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7422 divided by 3?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 7. Determine a(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44819 is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -943 by 41.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 84. Suppose -4*n - 16 = -w. Solve 0 = 5*r - n*b - 19, 16 = 7*r - 3*r - 4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/3 + -4 - (-25)\/3. Let u(p) = p**2 - 8*p. Let f be u(z). Let i = -4\/55 + 54\/55. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 3*r - 8*n, -2*n - 12 = -4*r. Let g be 1 + 66\/(12\/r). What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7129356 is divided by 29955?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41764 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04319 to 3 dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a92 (base 15) to base 4\nAnswer: -211103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/180198 and -46\/450495.\nAnswer: 900990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 2 w when four letters picked without replacement from {o: 3, w: 2, k: 5, h: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49d254 - b?\nAnswer: -49d25f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 332, 340, 348?\n\"Answer: 8*i + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 498 + -731. Let z = 205.437 - -27.845. Let p = z + k. Round p to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 142 = 120. Factor 237*x - 19 - w - 272*x - 5*x**2.\nAnswer: -5*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -101100?\nAnswer: 101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 510, 763, 1016, 1269, 1522?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/8 - 631*g\/8 - 8879\/2 = 0?\nAnswer: -52, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 164*b**6\/3 - 263*b**3\/3 - 80. What is the third derivative of o(m) wrt m?\nAnswer: 19680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 2.7. Let l = 5 + -3. Which is the nearest to u? (a) -0.3 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 44?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/57, -3, 51, 0.4, -31\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*s + 4. Suppose -7*h - s*k = -2*h - 680, 564 = 4*h - k. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 158920734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 21. Suppose -u*t = -t + 6. Let a be (-125)\/(-25) - (-43)\/(-8). Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 607 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (726\/(-10648))\/(12\/22)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797124434 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -0.2, 0.11, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4419*k - 4537*k + 2714 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3072 and -73\/7680.\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j. Let a be y(6). Let i = -9 + a. Suppose 49*k - 64*k = -45. Calculate the highest common factor of k and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1. Let w(p) = -2*p + 7. Suppose -d - 2*x + 8 = -5*x, 5*d - 22 = -3*x. Give d*q(i) + w(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -27 (b) 0.4626 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 2 - 3*z**2 + 0*z**2 + 9*z. Suppose 0*d + 3*j = 5*d - 31, 3*d - j - 17 = 0. Is n(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5444 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-11) + 12\/66. Let j be 3 - 3\/(m\/(-1633)). Round j to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1366 - -1365. Does q = -4\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 23*d**2 + 35*d + 65. Calculate the lowest common multiple of 12 and q(22).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 + -109. Let k be (-1343)\/7 + 2\/7. Let r = s - k. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and 19?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (195 + 454 + 788)*(-j**4 - 4*j**4 + 4*j**4) to the form y*j**3 + r*j**2 + m*j**4 + w*j + s and give m.\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k = 83*k - 9104. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18403385233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2277 - -4641. List the prime factors of t.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214892.\nAnswer: 2, 41, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823314 is divided by 205827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v - 645*v**2 + 1990 - 3883 + 4456 wrt v.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(7) + (sqrt(7) + -1)**2) - (0 + sqrt(7))*6).\nAnswer: -38 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 857*v**3 + 127833*v**2 - 522513*v + 393822 = 0.\nAnswer: -663, -198, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v**2 + 4*v - 5. Suppose -y + f = 1, 0*f - f + 5 = y. Let d be b(y). Calculate the remainder when 6 is divided by (-28)\/(-8) + d\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 6*g**2 - 6)*(7 - 8 - 1) in the form s + u*g**2 + n*g and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2174 - -3405. List the prime factors of u.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27180 is divided by 970?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81752*f + 81714*f - 912 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + -1?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - -8.5. Let u = -7 + x. Let n = -714 + 713. Put 0.5, u, n in increasing order.\nAnswer: n, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45843 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + v - 36, 5*f + 3*v = 8*v + 75. Solve 0 = -p + 4*u + f, 3*u = -p - 19 + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/((-1)\/(-4)). Let h = 4 + a. Suppose -h*o - 96 = -5*o. What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)*3*1. Let b(m) = 5*m**2 + 11*m - 8. Let g be b(-3). Suppose -i = f + y*f - 17, f + 3*i = -g. Solve k + 0 = -f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 959617, 1919295, 2878993, 3838711?\n\"Answer: 10*i**2 + 959648*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21 = -2*w, -16 = -4*v - 4*w - 4. Which is the fourth smallest value? (a) 2\/9 (b) 0.1 (c) -0.09 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let z = 10 - -1. Let d(v) = 9*v**2 + 11. Let u(s) = 3*s**2 + 4. Let w(i) = z*u(i) - 4*d(i). Determine w(r(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17564, -34643, -51750, -68879, -86024, -103179, -120338?\nAnswer: -137495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 7. Let k be q(4). Find the third derivative of 13*c - 4*c**k - 13*c + c**2 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 37, 144, 357, 712?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113201821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 18302*y - 18266*y. Let t(x) = -2*x**3 + 2*x**2 - 5*x - 2. Let r(n) = -8*n**3 + 8*n**2 - 21*n - 8. Determine y*t(o) + 2*r(o).\nAnswer: 2*o**3 - 2*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*80\/(-10). Suppose -j*k = 7 + 1, -5*m - 5*k = -125. Suppose -3*v = -126 + m. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 smaller than -950265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 1809 = -26*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1400\/(-3))\/((-38)\/285). Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -227, -352, -477?\n\"Answer: -125*y - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1776875.24 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 * 0.9869.\nAnswer: -89.8079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740000 rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112407, -224813, -337221, -449631, -562043, -674457?\n\"Answer: -s**2 - 112403*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 55 = -5*z - 8*y, 45 = 4*z + 3*y. Solve -2*d + 5*d = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let l = y + 4.6. Let n = l + -4.60000102. What is n rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + 3*h**2 - h + 5. Let o(d) = -d - 1. Let c be o(1). Let b(z) = 4*z**3 - 4*z**3 + 2*z**2 + 4 + 0*z**2 - 3*z**3. Give c*y(p) + 3*b(p).\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -10f?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 16 + 16. Let g(n) = -2*n. Determine h(g(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/t)\/t)**20\/(t**2*t\/(t\/(t*t*t\/t**1)))*t\/(t*t**(-5\/6))*(t*t**(1\/3))\/t*((t\/(t**(2\/5)*t))\/t)\/(t*t\/t**(-3)*t) assuming t is positive.\nAnswer: t**(-1207\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9*b = 14*b + 13, 3*i + 4 = 2*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 51\/18 - (-105)\/(-18). Let j be 60\/8 - (-3)\/g. What is the least common multiple of 8 and 4 - (j + -1) - (-69 + -1)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5294, 5311, 5352, 5429, 5554, 5739, 5996, 6337?\n\"Answer: 2*g**3 + 3*g + 5289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 132*p**3 + 3*p**2 - 11*p - 6. Let c(b) = 132*b**3 + 4*b**2 - 14*b - 9. Calculate 3*c(v) - 4*w(v).\nAnswer: -132*v**3 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w**2 + 0 + (-17*w**2 + 7*w**2 + 3*w**2)*(1 - 3 - 3))*(2*w - w + 0*w).\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k - 5. Let u be l(5). Let h = 8 + -5. Suppose -y - h*y = -32. Solve 2*i - 2*d + 3*d + 12 = u, -i - d = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l**2 - 17837*l - 89173. What is y(-5)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 27 = 12*r. Let v be ((-14)\/6 + 3)*1*3. Suppose -4*s = -k + 4, v*s + 0 = -3*k - 2. Let b(i) = -i - 1. Let j(h) = -2*h - 2. Determine r*b(c) + s*j(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*-5*(sqrt(121) + 3*sqrt(121)))\/(-1*(sqrt(1100) + sqrt(1100)*-2)))*-5.\nAnswer: -20*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170) + sqrt(170))*-2)\/sqrt(10) - ((sqrt(85) + (sqrt(85) - -1*sqrt(85)))\/sqrt(5) + -5).\nAnswer: -9*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587930481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*w - 299. Does 75 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**4 + 15*r**3 + 8*r**2 - 5*r - 5. Let d(g) = 4*g**4 + 8*g**3 + 4*g**2 - 2*g - 2. Let w(z) = 2*b(z) - 5*d(z). Factor w(m).\nAnswer: -2*m**2*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2868780 and -149\/134016.\nAnswer: 91800960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10223 + 2?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 - 20*s**3\/3 + 19*s**2\/2 + 24*s - 15. Calculate the lowest common multiple of x(19) and 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 1. Let l be y(-1). Let a be l\/(3\/(-4)) + -3. Calculate the greatest common divisor of a and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10565519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17536 + 17532. Let o(a) = -6*a**3 + 2*a**2 + 10*a + 3. Let x(w) = -7*w**3 + 2*w**2 + 11*w + 4. Determine g*o(h) + 3*x(h).\nAnswer: 3*h**3 - 2*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -670, -687, -730, -811, -942, -1135, -1402?\n\"Answer: -2*b**3 - b**2 - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3\/7, 1\/3, -35, 2\/3, -1 in decreasing order.\nAnswer: 2\/3, 1\/3, -2\/9, -3\/7, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 7339.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let s = -1 - -0.6. What is the closest to 1 in 0.1, s, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -917, 49, 1168?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 32 + 8 + (-5 - -10) + 50?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 514 + 505 = 0. Suppose 5*i + 5*k + 21 - 1 = 0, 12 = u*i - 3*k. Sort i, 0.2, 1\/3, -1 in decreasing order.\nAnswer: 1\/3, 0.2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = 26*u + 126 - 377 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5269821570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -2 - 6 - 1824675\/(-260700). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -10.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 3919*v**2 + 15 + 7824*v**2 - 3923*v**2 - v + 2*v**3. What is s(-18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9130, -17914, -26698, -35482, -44266, -53050?\n\"Answer: -8784*q - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318*p**2 + 462*p**4 + 694*p**2 + 1314*p**4 wrt p.\nAnswer: 42624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 - -57.34. Let b = n - 22. Let p = -35.000108 + b. Round p to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 35 = -0*h. Let n = -49 - h. Let a = n - -83. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71762 divided by -2?\nAnswer: -35881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 38 = -5*z - 2, -3*t + 3*z + 18 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose j*z + 6 = 5*h - 2*h, 4*h - 5*z - 8 = 0. Suppose h*u - 15 = -4*l - 3, -u - 5*l + 6 = 0. What is the highest common factor of 42 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 14*l - 35. Suppose 3*w - 51 = 5*p - 9*p, 3*w + 2*p = 57. Does 28 divide o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 668, 2422, 5296, 9290, 14404, 20638?\n\"Answer: 560*h**2 + 74*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - -5) + -3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9604, 9648, 9706, 9784, 9888?\nAnswer: 10024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6885108 divided by -4?\nAnswer: 1721277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -853 - 1768\nAnswer: -2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = z + 22 - 4, 4*h + 26 = -5*h + h - 3*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7606 in 5, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*(5 - 5 + 5).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 43 - 13)*(-t**2 + t**2 + 2*t**3).\nAnswer: -202*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -q - 8, i - 2*q = -2. Let r = 11 - 8. Suppose 5*u + 6 = 3*v, -4*u = r*v - 5*u - i. Solve 0*t + 8 = v*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:41 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 195 + 394 - 51001*c.\nAnswer: -51001*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*g + 61, -3*g + 2*u = -45 - 2. Suppose -f - 3*f - 48 = 0. Let l = g - f. Calculate the remainder when l is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6084510.95100101 - -6084511. Let w = j + -0.049. What is w rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(4 + (sqrt(28) + -2 + -3)*-3)*-5)**2.\nAnswer: -91200*sqrt(7) + 245200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3 - 8.3. Which is the nearest to -2\/9? (a) 2 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252314 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**2 + 53771*u - 344612.\nAnswer: -6*u + 53771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16373191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1544214 (base 6) to base 7.\nAnswer: 531151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94669 is divided by 18924.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*t - 2940 - 2261 = 3327 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 12*u - 28. Suppose -41*k - 65 = -46*k. Let p be t(k). Does 28 divide (-6)\/(219\/p - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3686*b**2 + 272*b - 820. Is h(3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4355 + -39199\/9. Calculate the common denominator of d and 31\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13*m**(-12))**17*(m*m**(-4\/3))\/m**(3\/5)*m**(-8)\/(m\/m**8) assuming m is positive.\nAnswer: m**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -28c6515?\nAnswer: 28c6518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 106128528 divided by -8\nAnswer: -13266066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-30)*-4*(-515)\/(-309).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1273413243 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 1194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Suppose -l*y - 15 = 0, -2*s + 1 = -2*y - 9. Which is the nearest to s? (a) -1\/8 (b) 2\/5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/11 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993 divided by 1260.\nAnswer: -331\/420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675222.\nAnswer: 2, 837611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**3 + 20*p**3 - p**4 - 10*p**3)*(1 - 1 - 1).\nAnswer: p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 588\/(-105) + 2\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4819 + -4.\nAnswer: -3.5181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/20 + 3\/6. Let m = 67682 - 67677. Which is the nearest to 1\/5? (a) 3 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 36 - 10)*(-8*q + 1 - 3 - 2*q).\nAnswer: -430*q - 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 32. Suppose 0*n - q*n = -160. Let l = n - 23. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93145844 divided by 46572922?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.106 - 1.906. Let i = w - 155. Which is smaller: i or 5\/27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 18*b**2 - 18*b + 1. Calculate the lowest common multiple of 6 and v(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-2) + (-1)\/(-2). Suppose l - 12 + 1 = 5*j, -q*l + 8 = -2*j. Solve -2*i = -5*d - l, -3*i = d + d - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w**2 + 2*w**2 - 3*w**2)*(5 - 4 - 4) + (3*w + w - 3*w)*(3*w + 2*w - 6*w))*(-930*w**2 + 1847*w**2 - 684*w**2).\nAnswer: -1631*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssaasadsdaa. What is prob of sequence ddad?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*33\/550)\/(5\/((-180)\/(-621)))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000104008395 rounded to 7 decimal places?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/5 - 2\/5. Suppose -5*l + 27 = 5*o - 18, r*l - 26 = -3*o. Let t(v) = v**2 + v + 1. Let s(f) = -8*f**2 - 10*f - 10. Calculate o*t(w) + s(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-184) - (42\/16)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*k**3 + 125*k**3 - 1589*k**3 - 544*k**3.\nAnswer: -3307*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11142391157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(38)\/sqrt(2))**2 + (sqrt(19) - sqrt(19)*-1*-1) - (sqrt(152) + 5*(sqrt(152) + (sqrt(152)*-2 - sqrt(152))))\/sqrt(8).\nAnswer: 15 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**3 - g**2 - g + 1. Calculate the remainder when 51 is divided by n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/22*(-6)\/5. Solve -3*a + p*u + 15 = -6*a, 12 = 4*a - 4*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 38*o + 74. Let l be c(-36). Let v = 66 - 44. Calculate the greatest common factor of l and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:08 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24875*y - 24875*y + 14*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:04 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-34) + 195\/6188*14)*(80 + 2)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(36))\/sqrt(12) + (sqrt(18) - (sqrt(90)\/(sqrt(25)\/sqrt(5)) - sqrt(18)))\/sqrt(6).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**5\/5 + 15*t**4\/2 + 80*t**3\/3 + 550. What is the third derivative of l(r) wrt r?\nAnswer: -24*r + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.41 and 57?\nAnswer: 43.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 113651.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3 + 6 - 3*q**2 + 2*q. Suppose 4*z + 32 = -4*n, 1 + 1 = z - 4*n. Let x be 2\/(-4)*z - -1. Determine w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 33*x + 11*x = -154 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c - 7*c**2 - 3*c**4 + 38*c + 15*c**4 - 5*c**2 + 2*c**5 + 16*c**3 = 0 for c.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -0.086, 1\/3, 16, 0.4, -14, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15246026 (base 7) in base 2?\nAnswer: -101100011101110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 16) to base 6\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 536*a + 3 + 1 - 11 - 1.\nAnswer: -536*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*x - 23 + 9, 5*x + s + 19 = 0. Suppose 47*j + 4 = -43. Put -5, j, x, 1 in decreasing order.\nAnswer: 1, j, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95915, 195512, 295105, 394694?\n\"Answer: -2*u**2 + 99603*u - 3686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102022222012 (base 3) to base 16\nAnswer: 3674c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2270451?\nAnswer: 2270444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 728022.42 rounded to the nearest one thousand?\nAnswer: 728000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -3*y + 2*y + 5*y + y + 115, 21389 - 21384 = 5*y for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 4*i**3 + 441 - 384 + 3*i**2 + 0*i**3 + 4*i**2.\nAnswer: 4*i**3 + 4*i**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 5, t: 1, c: 2, s: 3}. Give prob of sequence je.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + p - 97 = 0, 39931*w + 5203 = 39932*w + 52*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/13, -1, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523558?\nAnswer: 2, 7, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 36 = 10*t. Which is the biggest value? (a) t (b) 0.6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -415 - -134. Let y = g - -586. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9057)\/(-2)*12\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7713 = -4*m, -2*m - 5*p + 5433 - 1564 = 0. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127336.\nAnswer: 2, 3, 137, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**2. Let j(t) = -350*t. Let n(i) = -35*i. Let y(c) = -5*j(c) + 49*n(c). What is y(r(b))?\nAnswer: -350*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {o: 4, v: 5, u: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y + 12*y + 82 - 22*y + 9*y. Let v be w(-7). Solve 2*z - v*z = -12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -90236, -361162, -812774, -1445078, -2258080, -3251786, -4426202?\n\"Answer: -r**3 - 90337*r**2 + 92*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 11 + 8 + 60*n**3 in the form g*n**3 + y*n**2 + u*n + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8639 + -8639.079256. Round j to three decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073864 at least 1073867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -98, 2, -1, 3286, -2 in decreasing order.\nAnswer: 3286, 2, -1, -2, -4, -7, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, -2\/3, 3298, -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 533286 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**(2\/33)\/(f**(-15)*f*((((f**(1\/27)\/f)\/f)\/f*f)\/f*f)\/f*f))**(-2\/39) assuming f is positive.\nAnswer: f**(-9590\/11583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2408 and 86387.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -46, -6, 4 in descending order.\nAnswer: 4, -4, -5, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1130 - -1133. Let h = -3 + -2. What is the closest to h in 2, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1319 and -2299357707.\nAnswer: -2299356388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s + u, 2*s - u - 8 = -s. Suppose 10*k + s*h = 5*k + 68, -3*k + 4*h = -35. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 1:00 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 5:43 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -730 (base 10) to base 14.\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(288)*5.\nAnswer: 4 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(3) + sqrt(9)\/sqrt(3)))**2 + (-3*sqrt(88))\/sqrt(8) + sqrt(11))*6.\nAnswer: -12*sqrt(11) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96349218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -47 - (-12 + 2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18275821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150.486*0.47.\nAnswer: -70.72842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895 bigger than -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 602425891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57480750417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 28 + -7 - (0 - (-2 - 1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 - 9*r + 14. Let q be f(-10). Suppose -4 = -3*j + k, 3*j - k = -j + 6. Let s be -1*(-2)\/(3 - j). Solve s*l - q*l = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4 * 5729298.\nAnswer: -36667507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19162 and 485147.\nAnswer: 10673234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202861 + 12*g**2 - 202861.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 462 + 197. Suppose 3*k + u = -196. Is 16 a factor of -3 - (k - 0*(-2 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -62. Differentiate -8 + 7*x - 13 - 3*x + c*x with respect to x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2968.22 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/5 - i**3 + i**2 + i - 6\/5 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2488.521 millennia?\nAnswer: 24885.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/1 + (-1 - 0). Suppose 2*x = 3*t - x - 15, -j*t - 5*x = -56. Solve -3 + 0*a**2 + t*a - 3 - 3*a**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 - 4*f + 3. Let x be a(2). Let b = 1040 + -1040. What is the closest to b in -18, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 0, -4, 0.09, 1, -3.\nAnswer: -4, -3, 0, 0.09, 1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -71*y**9\/504 + y**5\/30 + y**3\/6 + 55*y**2. Find the third derivative of j(a) wrt a.\nAnswer: -8520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35152348 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 28*v - 4. Let m be q(-14). Let h be (-1*(-5)\/(-5))\/(m\/(-356)). Which is smaller: -90 or h?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 2200 = -11*y + 5*l, -l + 2176 = -4*y. Let z = -1585\/3 - y. Factor 0 + 20\/3*v**2 - 2\/3*v**3 - z*v.\nAnswer: -2*v*(v - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 3*l + 165. Give w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*v - 1, 0*a + a - v = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) -5 (d) 2\/59 (e) -66 (f) 8\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*y + 2*t + 5, -12 = -3*y - 4*t. Suppose y*d - 9*d = -685. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:51 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g - 9. Calculate a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000894046 rounded to 7 decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 - 5*d + 14. Let p be i(-8). Let b be (16\/260)\/(4\/p). Which is smaller: b or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29991 or 149959\/5?\nAnswer: 149959\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70939*q**3 - q**2 + 97*q - 8 wrt q?\nAnswer: -425634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j. Let z = j + 3. Sort -4, z, -1.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4\/3 + 7878*k**3 + 3458324*k**2\/3 + 42485568*k + 41340672 = 0.\nAnswer: -72, -1, 11962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 4*o = -9*k + 29, 0 = -5*k + 5*o + 55. Solve -c - 5*a - 1 = 0, 44*c - 41*c - 3*a = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 90 = -6*a. Suppose 0 = 26*l - a*l - 324. Calculate the least common multiple of 34 and (-2)\/9 + (-1152)\/l.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n + 43*n - 21*n + 62.\nAnswer: -n + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 4)\/(186\/4). Let u = 21\/155 + c. Suppose 0 = -d - 2*d + 3*g, -d - 3 = -4*g. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 take away 0.133?\nAnswer: 359.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 6739?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 19. Let y = j + -8.0000144. Round y to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 31330432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**3 + k**2 - 2*k + 7. Is r(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1789 and 0.\nAnswer: -1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 2 - 2 + 3*i**2 - 3*i**2 - i**5 + (1 + 0 - 2)*(-5*i**5 + 3*i**5 + 4*i**5) - 25865*i**5 + 6726*i**5 + 14103*i**5.\nAnswer: -5038*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + 1000001111010101?\nAnswer: 1000001101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172864*l**3 - 134*l**2 + 45*l**2 + 89*l**2.\nAnswer: -172864*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13212 + -2032100?\nAnswer: -2111312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81\/380 + -1\/76. Which is the third smallest value? (a) -0.5 (b) 47\/5 (c) 1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-28) - 3437\/343\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d + 1. Let x(k) = -3*k**2 - 3*k. Determine 2*u(g) - x(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2186*0.292\nAnswer: 638.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y - 2. Let z be p(-2). Suppose -3*v + 9 = 3*g - z*v, -3 = -5*g - v. Solve g = 5*i - 4*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 + i**2 + 19*i + 13. Let m(v) = v**2 + 26*v + 13. Let c be m(-25). Is q(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, r: 1, p: 5, c: 2, i: 2}. Give prob of sequence qrqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 151 - 37 + 41445*r**2 - 41443*r**2 in the form t*r + v + p*r**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214206833 is divided by 888825.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 973 + -788. Let h be ((-28)\/(-10))\/(74\/s). What is the highest common factor of h and 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371 + 377. Suppose y*n - 1874 - 370 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.89 - -23.59. What is the second biggest value in -4, 2\/17, c, -3, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 114*y - 5125. Determine v(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38876 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2933837 and 0.05389?\nAnswer: 2933837.05389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 18*g**5 + 1733*g**4 + 7093*g**3 + 786*g**2 - 3856*g + 736 = 0.\nAnswer: -92, -4, -1, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*b - 155*b - 44*b)*(-b**4 + 2*b**4 + 0*b**4).\nAnswer: -294*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 54*k - 101. Let v be b(16). Suppose -10*a + 2657 + v = 0. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -0.07.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*g**3 - 46*g**2 + 46*g**2.\nAnswer: 416*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/840 - 7*x**6\/160 + 9*x**5\/16 - 117*x**4\/32 + 27*x**3\/2 + 2*x**2 + 579. Factor v(m).\nAnswer: (m - 12)*(m - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/5 + 1)*(-27)\/((-27)\/(-4))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.076 - 0.076. What is the closest to -2\/7 in f, 0.03, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261647 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnxjk. What is prob of picking 1 d and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13643 + 1366?\nAnswer: 15342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 11:47 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14217 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19338144 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(693\/36) + (21450\/(-91))\/(-10) + 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w**3*w**4\/w**(1\/7)*(w\/(w*w*w\/(w**(-2\/3)*w))*(w\/(w\/w**(-1\/2)))\/w)\/(w\/(w*w**0*w))**(-1\/9) assuming w is positive.\nAnswer: w**(451\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-182)\/(-56) + 3\/4. What is the hundreds digit of (-4 + (5 - n))\/((-3)\/139)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(3\/(-63) - (-4)\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382360 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 844b88 (base 16) to base 14\nAnswer: 1219920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6792 divided by 6\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + c - 5. Let k be t(6). Let q(j) = 9*j + 1. What is the tens digit of q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321241079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/12 - 7\/28. Let n(r) = 5*r**2 + r + 1. Let d be n(u). Which is the closest to -1? (a) 0 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46.9 and 0.49.\nAnswer: -22.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 6, h: 3, n: 2, s: 6}. Give prob of picking 2 s and 1 h.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Let l be -2 - 4\/8*-10. Suppose -s = -17 - l. Solve -5*d + 2*a - 1 = -s, a = b*d - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 0.032, 2?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011166298 rounded to seven decimal places?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 53.132486247 and 0.6878.\nAnswer: 53.820286247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1192 divided by -23234.\nAnswer: -596\/11617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -0.7 (c) -4766 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*v + 12, 4*n - 81 + 69 = -5*v. Let u = 90459\/9230 - 1\/1846. Factor -u*k**n + 77\/5*k**2 - 32\/5*k + 4\/5.\nAnswer: -(k - 1)*(7*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18173 + 7635 = 316*f + 7796 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5494050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -293.1 and -0.1264.\nAnswer: 37.04784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - h - 5*h + (6 + 0 - 4)*(-h - h + 0*h) + 0*h + h + 0*h + (-h + 0 + 0)*(33 + 14 - 17) + (-2*h + 4*h - h)*(-3 - 2 + 4).\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195, 839, 1909, 3405, 5327?\n\"Answer: 213*s**2 + 5*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*v - 242 - 2623 = 110*v. Put -1, v, 1, 8 in increasing order.\nAnswer: -1, 1, 8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -40*m + 1\/12*m**4 + 7\/6*m**3 + 0*m**2 + 0. What is o in x(o) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.887 - -0.113. Let d = w + -36. Let u = 27.0085 - d. What is u rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24291745189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 609143*x - 9137135. Calculate c(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 2*v**2 + v + 2. Let y be a(-2). Let x be (14\/(-4) - (-3)\/(-2)) + 6. Sort 5, -3, x, y.\nAnswer: -3, y, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 5}. Give prob of sequence qq.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k - 1. Let t(o) = -13*o - 1. Let v(w) = -w**3 + 62*w**2 - 13*w + 812. Let m be v(62). Determine m*t(y) - 5*s(y).\nAnswer: -13*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -1100014?\nAnswer: 1077746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 4, v: 2, q: 1}. What is prob of picking 2 y and 1 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w + 5*w = 2684. What is the remainder when w is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1013 + (-5)\/(20\/28). Let r = w + 1605. Calculate the highest common divisor of 26 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Let k be (v\/7)\/((-8)\/56). Let x = k - -3. What is the second smallest value in -2\/19, -0.07, x?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713583 and 2633163?\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19055300 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 3*x**3 - 3*x**3 - 444 - 3*x**3.\nAnswer: -2*x**3 - 444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181393421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 6*i**2 - 614*i + 0*i**2 + 279*i + 2*i**2 as j*i + y*i**2 + x and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/9)\/(31\/(-279)). Let d(a) be the second derivative of 0*a**4 + 0 + 4*a + 7\/20*a**5 + 0*a**r + a**3. Find the second derivative of d(y) wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**2. Let c be (-3 - (-2 - 1)) + -1. Let t be c + (8 - 16\/4). Let f(a) = 2*a**2 + 8 - t - 5. Give k(f(g)).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 76. Suppose 5*h = -2*a - 5, h + p*h = -15. Solve 5*l + n + 4 = 29, a*l + 3*n - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 + 244236*g**3 + 732694*g**2 + 488460*g = 0.\nAnswer: -122115, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 386040 by 48255.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - g**3 + 0)*(58 + 149 - 44) as i*g**2 + q*g**3 + o*g + l and give q.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3599\/13 + 277. What is the closest to 1\/5 in -2\/5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -6814?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 1 = -11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/(-1425))\/(-27*34\/(-22950))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -17. Calculate the highest common divisor of z and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 21*r**2. Let n(d) = -46 - 2*d + 46. Calculate a(n(q)).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w + 9*w - 5*w)*(-w + 0*w + 2*w) + (2*w + 2 - 2)*(4 - w - 4).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + 24. Let w be 1\/((-12)\/i - (-6)\/(-4)). Which is smaller: w or -16\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.09, 1, -0.4, -2.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/((s*s**(-2\/9))\/s*s)*s*s**(1\/8)*s**(-2))**(-16) assuming s is positive.\nAnswer: s**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0405*20439\nAnswer: 827.7795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5266629 by 3.\nAnswer: -1755543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*g**2*p**4 - 44*g**2*p**2 + 8*g**2*p - p**6 wrt p.\nAnswer: -1176*g**2*p - 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906 divided by 1?\nAnswer: -2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 5. Let g be 8\/(-1*(1 + 0)). What is the units digit of (-3)\/y + (-106)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r**(1\/4))))**(-3\/5))**(-1\/70))**19 assuming r is positive.\nAnswer: r**(57\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 53*w**2 - 236*w - 346. Give d(7).\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/3 - (-13)\/(-39). Calculate the remainder when 18 is divided by n\/2*-7 - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 7*q + q**3)*(-3*q - 70*q**2 - 4*q**2 + 146*q**2).\nAnswer: 72*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 316. List the prime factors of r.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/105 - 4*k**6\/15 + 31*k**5\/15 - 20*k**4\/3 + 11*k**3 + 1595*k**2. Factor i(m).\nAnswer: 2*(m - 11)*(m - 3)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -27. What is the derivative of -90*o - 42 - 18 + d + 92*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9596 divided by 2.\nAnswer: -4798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7235 - 0.44.\nAnswer: -7235.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) 4 (c) 166.07 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -824 or -2471\/3?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 2 - 66*m + 42*m - 7*m**4 - 9*m**4 + 17*m**4 to n*m + i*m**2 + l*m**3 + k + s*m**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(17) - 1*-2*sqrt(17)) + (sqrt(17) + sqrt(17) + sqrt(34)\/(sqrt(8)\/sqrt(4)))*4 + (3*sqrt(170)*-1)\/(sqrt(100)\/(sqrt(20)\/sqrt(2))).\nAnswer: 5 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300)*-3)**2 + -4.\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -b - 4*b + 192, 0 = -3*p + 3*b + 144. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 0.5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**3 - u**2 + 24*u + 156. Calculate w(-5).\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 7*f + 5*f)*(2*f**3 - 4*f**3 + 0*f**3 + (5*f + 0*f - 2*f)*(2*f**2 + 0*f + 0*f)).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*s - o + 21, o = -5*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 469 * -7.\nAnswer: -3283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 1380594352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:39 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 2*q**3 + 5*q**3 + (1 - 1 + 2*q**3)*(-2 + 3 + 0) - q**3 + q**3 + 11*q**3 to j + d*q**3 + v*q**2 + y*q and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -33*d - 15*d - 943*d. Let r be m(6). Let t be 6\/27 + r\/27. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141327187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = u. Suppose 0 = -u*l + 12. Suppose 0 = l*m - 5*m + 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34421 - -2?\nAnswer: 34423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*z - 20 = 3*z, -8 = -n + z. Suppose 1322 - 218 = n*u. What is the greatest common factor of 23 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v - 173. Let k be o(30). Suppose 11*d + 13 = 10*d + 3*w, k = -4*d + 3*w. Solve 35 = 5*c + 5*b, 4*c + 3*b + d*b - 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 - -200 - (-3 + -7 + 19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = v - 4351, -4*y = -v - 8693. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 1868011.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -27*(-23 + (-3744)\/(-162)). Sort s, -37, 4 in decreasing order.\nAnswer: 4, s, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-51 - -132 - (-5 + 11 + -6))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + 8*w - 109. What is the thousands digit of l(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32058263 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmddnqdqyddy. Give prob of sequence nd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 214029*t**2 + 0 - 214016*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36778*v - 772347. Calculate j(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4 + (321 - 39). Let v = -320 + i. Are v and -31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 46\/12)*-6. Let q be r\/20 - (-21)\/(-4). Let p(o) = -o + 6. List the prime factors of p(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:51 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3197 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33977670*y**5 - y + 8281115.\nAnswer: 679553400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.007 + -0.014. Let q = h - -0.027. Let r = 3.95 - -0.05. Sort 1, r, q in increasing order.\nAnswer: q, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose u*i + 12 = 5*i. Let f be ((-21)\/7)\/(1*-1). Solve -d - i*o = 18, 0*d + 4*o + 14 = -f*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -5.7. Let t = y - 30. Which is the second smallest value? (a) t (b) 0.05 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -1792\/13. Which is the biggest value? (a) 5 (b) 0.04 (c) 1\/7 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 25, 44*v - 40*v = -z - 14 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/3 - 74*r**2 + 3196*r\/3 + 9200 = 0 for r.\nAnswer: -6, 25, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:53 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*n + 272 - 265, -4*n = 6*k - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(3*d - 7*d + 3*d) - 180*d - 159*d + 51*d + 6*d to n + z*d and give z.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 18*z - 19. List the prime factors of q(-15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214505\/14994 - -2104\/153. What is the common denominator of x and 47\/11?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11095.\nAnswer: 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 27*m - 22 = -15*m + x - 20, 2*m + 19*x + 59 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 1330*r**4 - 18432*r**3 + 10466*r**2 + 81553*r + 51324 = 0.\nAnswer: -1, 3, 13, 1316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4 + 3*n - 4. Differentiate g(k) with respect to k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -188. Let n = -4 + 4.12. Let d = 3.88 + n. Which is the closest to -1? (a) -0.2 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/2)*i))\/i*i)**37*(i*i\/(i*i**(1\/5))*i*i)**(-7\/10) assuming i is positive.\nAnswer: i**(-1023\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -2. Suppose 4*z = -4*s - 28, -z = -4*s - 13 - i. What are the prime factors of 2*4 + 6\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 1:52 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -g + 3, -3*l + 3 = -5*g + l. Let f(w) be the second derivative of 11*w**4\/12 - w**3\/3 + w**2\/2 - 13*w. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -25*l**4\/24 - 41*l**3\/6 - 2304*l**2. Let w(b) = -2*b. Give i(w(g)).\nAnswer: 50*g - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101825, 101831, 101837?\nAnswer: 101843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-462)\/(-55))\/14)\/(1 - -2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -711 + 711. Let f be (0 - 1) + 3*(-10)\/(-21). What is the third biggest value in 5, f, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 40*i = -29*i + 90 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20911.999954246 - -20912. Round c to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 309, 453, 597, 741, 885?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 171*z**3 + z**2. Determine m(-1).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 0.1 (c) 1.2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 5 (b) -1\/3 (c) -1 (d) -2 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112 - 5?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381675 is divided by 76306.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 883, 2369, 4487, 7255, 10691?\nAnswer: 14813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 53*o + 179*o - 7650 = 0. Solve o*l = -4*l - 245 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-28)*(-29928)\/(-1935)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (11 - 12)*-5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -56*q. Let p(d) = 11*d. Let i(k) = -24*p(k) - 5*r(k). Let x(t) = -722527*t + 722527*t - 2*t**2. Calculate i(x(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-15)*(-15)\/2. Let c(f) = -4*f - 9. Let v be c(a). Let s = -3 + v. Solve 7*m - 3*m = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.42 + 0.72. Let l = -0.3 + -0.2. Sort l, k, -2\/9 in ascending order.\nAnswer: l, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(0 - 52\/(-6)). Solve -5*c = 4*x + 3, 3*c - 5*x - r = -0*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)\/sqrt(4) + -4)**2 + sqrt(2299)*-1 + -1 + -1 + sqrt(19) + -3.\nAnswer: -22*sqrt(19) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 38*k - 6 = -41*k, -4*b = k - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 + 11*f**2 - 121*f + 578. What is the remainder when 1250 is divided by w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**8*s))\/s**(-1\/4))\/(s\/(s**2*s))**(-3\/2) assuming s is positive.\nAnswer: s**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.54993 from -259182.\nAnswer: -259182.54993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = t, -2*t + 6*q - q - 37 = 0. Let r be -2 + (-4 - 150\/t). Suppose -2\/7*v**2 - r - 8\/7*v = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113341657 divided by 29.\nAnswer: 3908333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 30 = -3*w, 0*x - 5*x - 2*w = -25. Solve b - x = 3*v, v + 3*v + 4 = 2*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/50?\nAnswer: 17\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 109778.6 nanograms?\nAnswer: 0.0001097786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9246 is divided by 1402?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 230, 1, -2\/9?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 14. Let f be j(0). Let a be (-7)\/(f\/(-4)) - -5. Suppose -2*g = z - 24, 4*g + 43 = 5*z - a. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 513\/4 - 128. Which is the nearest to n? (a) -1\/6 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkllkllkkrrkkllklk. What is prob of sequence lrrl?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -6 (c) 4 (d) -9\/7 (e) 1 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 265205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.72333 rounded to 0 dps?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 584400 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3134 + -3131. Let o = -507\/5 - -102. Which is the second biggest value? (a) 2\/3 (b) -6 (c) o (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 - 4*d + 2. Let l be p(2). Let t be -4 - l*(-9)\/(-6). Is -2\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skkkkkkksk. What is prob of sequence kkks?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.19, -3, -856, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.686 - -0.769. Let x = h + -5.454994863. What is x rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 1. Let x(l) = -l**2 - 1. Let p(w) = 2*x(w) + z(w). Let k be -1*1*(0 + 1). Let d be p(k). Put 3, d, 2 in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*y + 0*y - 4 = 0, -2 = y. List the prime factors of ((-9)\/2)\/(k\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/77)\/((-14)\/28).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in 0, 1563, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 5 + -2 - (501 - 504).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 80*p**2 + 8536*p\/5 + 15488\/5.\nAnswer: 2*(p + 2)*(p + 22)*(p + 176)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 25. Let j be y(11). Let g be (-14 - -2)\/j - -39. What is the units digit of (-4)\/(-5) - (-2317)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1417242 by 472414.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 - 2*k + 2. Determine o(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 651*g - 1305\/2.\nAnswer: 3*(g - 1)*(g + 435)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1625 or 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - 2) + 14 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 184*i + 8170. Give b(75).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from eaaeaa.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152.3693 + 17.\nAnswer: 169.3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2202*c. Let f(k) = 59*k - 2. Calculate f(w(s)).\nAnswer: -129918*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 13 - 43 = -5*q, -2*l + 18 = 5*q. Which is the nearest to q? (a) -49 (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4098 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 - 4*n - 3. Let y be m(-3). Let v(z) = z**3 - z**2 + 9. Determine v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 9. Which is the fourth smallest value? (a) r (b) 3 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 607, 1185, 1783, 2413, 3087, 3817, 4615?\n\"Answer: 2*g**3 - 2*g**2 + 570*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*n**3 - 6*n**2 + 2792*n?\nAnswer: 390*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1676 - -38549\/23. Is -2\/99 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -779*q. Let v(b) = 7*b**2 - 3*b + 3. Let g(m) = -9*m**2 + 4*m - 4. Let k(y) = 3*g(y) + 4*v(y). Calculate i(k(n)).\nAnswer: -779*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.8561us in nanoseconds?\nAnswer: 793856.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in -218, 2, -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(153) + sqrt(153).\nAnswer: 4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51701 divided by 26\nAnswer: -3977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -521\/630 - -5\/6. Find the common denominator of r and -77\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + -0.19. Let o = w + 0.05. Which is the third smallest value? (a) -1\/4 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24081614 + -0.06.\nAnswer: 24081613.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -68*f**2 - 30*f + 160. Let j be b(-30). Let p = 3127175\/52 + j. What is the common denominator of -89\/56 and p?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37069958 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*1 - 7. Let b = 8 + q. Let o be 4*(4 + (-6)\/2). Put b, 5, o in decreasing order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13520 and 39520?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*g**3 + 47*g**2 + 1292*g wrt g.\nAnswer: 174*g + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146094320 bigger than 146094320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1170 and 91?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 931*u + 47414. Determine h(-51).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 257*o**3 + o**2 + 74*o**3.\nAnswer: -183*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) 0.4 (d) -9574 (e) -2\/7 (f) 1\/11 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/9 - 1228*m**4\/9 + 824*m**3 - 14864*m**2\/9 + 9920*m\/9 = 0.\nAnswer: -620, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -142.9.\nAnswer: -142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 12*p + 23. Let z = 6352 - 6339. Determine y(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19524353759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/70*(-44)\/(3960\/25).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**8\/1176 - y**7\/735 + y**6\/84 + y**5\/210 - 2*y**4\/21 + 4*y**3\/21 - 17*y**2. Factor d(u).\nAnswer: -2*(u - 1)**3*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = w + 3*o - 7, -w + 33 = -5*o. Calculate the remainder when 56 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 3*j**2)*(-2 + j - 2*j + 5*j)*(1 + 16*j - 11*j - 8*j).\nAnswer: -24*j**4 + 20*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 1. Suppose l + 3 + 4 = 3*o, 2*l + 9 = o. Let r be x(o). Suppose 2*t + q = -r*q - 2, 8 = 4*q. What is the third smallest value in t, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222*(-3 + 14 - 5) + 0 is divided by 439.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708924 is divided by 425?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3081487456 to the nearest integer?\nAnswer: 55511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158578 take away -0.4?\nAnswer: 0.241422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 148485 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose a = -s + 5. Let g = s + 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 62 = -2*s. Let v = s + 90. Calculate the smallest common multiple of 1 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 22*h + 50. Let n be g(-2). Which is the closest to 0.1? (a) n (b) -1.5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.25. Let z = w - 0.0425. Let i = z - -0.09. What is i rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppp when four letters picked without replacement from {l: 2, p: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 22*m = -243 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 13045?\nAnswer: -13048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = -4*k, -11 - 7 = -2*k - 4*i. Sort -5, k, -35 in ascending order.\nAnswer: -35, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1969, -1968, -1965, -1960, -1953, -1944?\nAnswer: -1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 7:55 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2179*p. Let s(a) = -6*a**2. What is m(s(x))?\nAnswer: -13074*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l + 19. Suppose -2*a = v - a - l, -a - 16 = -4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjkbkbbbnsnnc. Give prob of sequence snkc.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675813349 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 10. Let j be f(-4). Suppose 4*k = -j*c + 194, -3*k = k - 2*c - 198. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/15)\/((-7)\/5 + 0). Do 9 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**6 + 18628*m**2 + 2*m**3 - 19166*m**2 + 9*m**6 wrt m.\nAnswer: 1560*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 8, 72, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {a: 2, c: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 2\/3 (b) -2.8 (c) -0.18 (d) 5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*x. What is the third smallest value in -2, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346 is divided by 272?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2785 = -0*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 48 = -79*p + 75*p, 15 = -4*o + 5*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 20. What is the remainder when i is divided by (17 - 4\/1) + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8406 - -8498. Let c be ((-3)\/18)\/((-4)\/(-32)). Put t, c, -2\/13 in increasing order.\nAnswer: c, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/6*4\/(-20)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + (-21 - 34) - -17) + -3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 528 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5 = 3*y - 9, -5*x = y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 837?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**4 + 2*c**3. Let s(p) = -7*p**4 - 3*p**3. Suppose -5*u + 40 = 3*x, 2*x + 2*x = u + 15. Let j(r) = x*z(r) + 4*s(r). Find q such that j(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 4*y = -108. Suppose -y*w + 4*g + g + 748 = 0, 0 = -w + g + 186. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) + (-2 - -1). Suppose 0 = -0*r - 3*r. What is the second derivative of r*g**3 - a*g + 7*g**3 + 3*g wrt g?\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let w(x) = 9*x. Let o(v) = 8*g(v) + 3*w(v). Let f(l) be the third derivative of 0 + 0*l - 2*l**2 - 1\/24*l**4 + 0*l**3. Calculate f(o(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.35 > 204.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1, q: 1, z: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -295*n - 1. Let r be s(5). Let b = r - 1894. Round b to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5*2)\/(7\/28). Suppose -4*a = h + 2*h - 29, 5*a = -3*h + z. What is the remainder when 20 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*k**4*o**2 - 11726*b**2*k**4 - b**2*k**2*o**2 - 41*b**2*k*o**2 - 4*b**2*o wrt k.\nAnswer: 24*b**2*k*o**2 - 281424*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 - 2. Let m(k) = 4*k**2 + 3. What is 5*m(s) + 7*w(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*y - 4178 = 1632 + 29095 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535874.1l to millilitres.\nAnswer: 535874100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 180*s - 864. Calculate the remainder when 5589 is divided by w(-5).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425 is divided by 911.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueeeerueeur. What is prob of sequence reu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -17. Let w = 18 + s. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*4*(sqrt(98) + 1 + -3)*3)**2*-1.\nAnswer: -14688 + 4032*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g + 10. Let w(s) = -5*s - 4. Let f(h) = 2*a(h) + 5*w(h). Let c(x) = 4*x - 4. Let v(y) = -1. Let p(o) = -c(o) + 4*v(o). What is f(p(z))?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 - 2*d**2\/5 - 3*d.\nAnswer: d*(d - 5)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-v - 4 + 4) + 5*v + 11*v - 6*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1539*c**5 - 1114*c**5 - 62*c + 158*c**5 - 442*c wrt c.\nAnswer: -49900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0 - j**3 - 2 + 2*j**2 + 0*j - 2*j + 0*j**3. Let k(n) = -n**3 - n**2 + n + 1. Calculate i(h) + 2*k(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -63421120.\nAnswer: -1\/63421120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9929)\/76 + 12\/16. Let o = 130 + w. Which is the third biggest value? (a) -4 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1206214 or -1206210?\nAnswer: -1206214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -6)\/6*0. Suppose -14*z + 17*z - 6 = p. Let n be ((-4)\/(-10))\/(3\/15). Solve -z*r - n*q = -6*q - 22, 0 = 5*r - 4*q - 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 16. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1763 + 539 + 2698)*(p + 3*p - 7*p - 4) as h + f*p and give f.\nAnswer: -15000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3207 - -1?\nAnswer: -3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -176279590 divided by 7664330?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 11*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -1 - (-49 - -46)) + (26 - 9) + -78.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945 - 2*d**3 + 5*d**3 - 945.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -2518.\nAnswer: 7\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 707*k - 16039. Give q(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5*s**3 + 95*s**2\/2 - 458*s - 2105. Find the first derivative of p(m) wrt m.\nAnswer: -30*m + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*h + 17, -h - 4*p = h - 24. Suppose -3*n + 11 = 2*z - 8, -3*z - 2*n = -26. Suppose 5*x - x = z. Calculate the greatest common divisor of h and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0164 rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109531, -109526, -109519, -109510, -109499, -109486, -109471?\nAnswer: -109454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*b = 21895, -x - 3*b + 4288 = -3006. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -85 - ((-7 - -4) + 6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(54)\/(sqrt(9) - sqrt(81)) + sqrt(384) + (sqrt(384) - sqrt(384)*3))\/(5*5*2*sqrt(3)*-4).\nAnswer: -4 + 17*sqrt(2)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/2176 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13171120.\nAnswer: 2, 5, 61, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.35 + -63. What is a rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -68, -74, -80?\n\"Answer: -6*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/5 (b) -4 (c) -15.5 (d) 4 (e) -2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35\/((-2940)\/63)*2\/(-1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1401 + -165315\/118. Find the common denominator of u and ((-2)\/70)\/((-24)\/1980).\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 81*n - 101174913 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 32*q - q + q**2 + (-3*q - q + 6 - 8)*(-2*q - 4*q + 5*q).\nAnswer: 5*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78337\/900 + 784\/9. What is the common denominator of 4\/5 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spbbpspsbzsppszszpp. Give prob of picking 1 s and 2 p.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1935 greater than -1938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 54. Let c = 20 + l. Let o = 38.0000102 + c. Round o to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4638, 4641, 4644?\nAnswer: 4647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.61 times 2929.9?\nAnswer: 51595.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -932135, -1864264, -2796391, -3728516?\nAnswer: -4660639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 38*o - 4. Let s be d(-5). Let b(k) = -47*k - 2559. Let l be b(-52). Let p = l - s. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7886000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*c + 435 + 366 = 272*c - 1474 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -2 - 2*l**2 - 1\/3*l**3 - 6*l. Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-1 - (-4)\/8)*-3. Find the common denominator of (22\/(-660))\/(5\/747) + a and -79\/22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d. Let z(j) = -3*j + 0*j + 3*j - 4*j. Calculate h(z(q)).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*h - 10, 3*n + 2 = -h - 2. Which is the biggest value? (a) n (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*404\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(1008) + 0)**2.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599315660?\nAnswer: 2, 3, 5, 8885087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/65 - 77\/390. Put j, 1, 5, -0.2 in descending order.\nAnswer: 5, 1, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24266347 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15767995 and 10.\nAnswer: 31535990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -20*c**2 + c**3 - 2 + 17 + 33 - 58*c. What are the prime factors of l(23)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012011111 (base 3) to base 4\nAnswer: -11232121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*m**3 + 194*m + 163*m - 550*m + 202*m - 121*m**3.\nAnswer: 6*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 2146640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaqliopoaio?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 53. Suppose 0 = -b*i - 0*s - 5*s + 78, -59 = -3*i - 4*s. Calculate the remainder when 150 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y - 38. Suppose 0 = -q - 7 + 15. Let k(h) = 3*h**2 + 5*h + 115. Let n(c) = q*l(c) + 3*k(c). List the prime factors of n(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 6.\nAnswer: 85\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 53, -5, -1, -3, 5 in descending order.\nAnswer: 53, 5, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11436943423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n - 87. Determine q(6).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 22*r**2 - 51*r - 73. Let i be z(-24). Let s(p) = 2*p**2 - 4*p - 3. Determine s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-507 - -516) + -1 + -9 + (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, -122, -192, -256, -314, -366, -412?\n\"Answer: 3*f**2 - 85*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 66. Calculate the remainder when ((-828)\/144)\/((-2)\/8) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.89 rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -22 + 11 + -2 + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/14 + (-6)\/14 + 1. Solve 2*d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 10, h: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 1. Let f be 15\/5 + (-423)\/(-3). Suppose 146 = 5*l - z*m - f, -4*l - 5*m = -214. What is the remainder when l is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64536.81mg in tonnes?\nAnswer: 0.00006453681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (18 - 10) - (-121 - (-5 + -6 + 9)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 75 = 5*j, 0 = j + a - 45 + 22 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1151 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*x**3 - 17*x**2 + 32*x**3 - 66*x**3 + x**2 - x**2 + 2*x**3 + (-3 - 2 + 3)*(2*x**3 + 3*x**3 - 3*x**3) - 4*x**3 + 4*x**3 - x**3 + 0*x**3 - 4*x**3 + x**3.\nAnswer: -10*x**3 - 17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117)*1*4.\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -12\/625 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332730 take away -784?\nAnswer: 333514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/2125 + -10649\/25500. Let u = 3\/4 + t. Let r be 2\/(-105)*35\/(-7). What is the third smallest value in -2, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 4*q**4 - q**4 + (-q**4 - 4*q**4 + 4*q**4)*(-1 - 1 + 3) + 0*q**4 + 27*q**4 - 6*q**4 to the form c*q**3 + p*q**2 + t + l*q + n*q**4 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, -3, -75?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) + sqrt(5) + (1 + sqrt(5))*-3)**2 - ((sqrt(35) + sqrt(140)\/sqrt(4))\/sqrt(7) + (sqrt(500) + -1 - sqrt(500)))**2.\nAnswer: -56*sqrt(5) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319 + 317.52. Let n = s - -1.53. Which is smaller: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 579975*w - 579970.\nAnswer: -5*(w - 115994)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.26987 + -0.05013. Round b to 1 dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1967 in increasing order.\nAnswer: -1967, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {r: 2, z: 3, j: 9, b: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + g + 4345, g = -3*j + 1400 + 1864. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*w + 7712*s - 735*w**3 + 134*w**2 + 6 wrt w?\nAnswer: s - 2205*w**2 + 268*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25077*a**3*o**2 - 797*a**3*o - 6*a**2 + a*o wrt o?\nAnswer: 50154*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.083 + -73.083. Let n = -55.5 - r. What is n rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30678, 61344, 92010, 122676, 153342?\nAnswer: 184008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -396 + 385. Let t(h) = -3*h**2 - 37*h - 10. Calculate the remainder when 193 is divided by t(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6958957?\nAnswer: 6958957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 129980.\nAnswer: 389940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213266*f**3 + 427245*f**2 wrt f.\nAnswer: -1279596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -546 - 206?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 * -0.0174\nAnswer: 0.0005394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*a**4 - 9086*a**3 + 4443554*a**2?\nAnswer: -528*a - 54516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 4*b**2 - 8*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - ((-16 - -85) + -3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -92, -210, -438, -812, -1368?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23405.\nAnswer: 5, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 0.07, 2, 2\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -865*s**3 + 865*s**3 - 85*s**5 + (-1 + 2 + 1)*(8*s**5 + 2*s**4 - 2*s**4).\nAnswer: -69*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52+-349.4226432\nAnswer: -401.4226432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 + 170.45. Round d to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9245 (base 14) in base 7?\nAnswer: 133215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*p - 541*p = -4*a - 988441, 0 = -2*a - 12. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8 and 61\/17438.\nAnswer: 69752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = v + 2*t, -4 = 2*v - 5*t. Solve 14 = -6*n + 4*n + 4*g, v*n + 13 = -2*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeff when four letters picked without replacement from {a: 9, f: 5, e: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-3)\/(-3 + 4). Suppose 5 = -5*c + 5*d, 2*c + z*c - 3*d + 4 = 0. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + j + j, -2*p - 4*j + 32 = 0. Let q be 2\/p - 156\/(-20). What are the prime factors of q\/(-2)*-4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15.3. Let l = -1.8 + 2. Suppose 8 = -5*i - 7. Which is the biggest value? (a) l (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 + 447. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4244 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/21 - 1\/3. Let t(l) = l**2 + 8*l - 5. Let i be t(-8). Let g = 4 + i. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*q + 5 = 0, 2*f - 67*q - 20 = -63*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40525 is divided by 8103.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**4 + 4*i**3 + 5*i**2 + 2*i - 3. Let r(n) = 2 - 2*n - 5*n**2 + 15*n**4 - 3*n**3 - 24*n**4 - n**3 + 8*n**4. Let c(m) = -4*p(m) - 6*r(m). Factor c(h).\nAnswer: 2*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.24 + -0.24. Let z = -1.9 + o. Round z to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * -3\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - c183?\nAnswer: -c152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -92225 divided by 527\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68918 is divided by 547?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 23 = -c - 2*c, c - 4*o - 21 = 0. Let q be 4\/(0 + (c - -1)). What is y in -2*y**q - 18*y - 3*y**2 - 52*y + 10*y - 180 = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and 12.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmmu when four letters picked without replacement from uzzmzzzfzmzmmzzmmzm?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/30 - 8*g**2 + 11*g - 6. Let f be (-1)\/(-3) + (-10)\/(-6). Let q(y) = 2*y - 2*y + 7*y**f. Give q(d(w)).\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006029 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*((u*u\/(u**17\/u))\/u)\/u)\/u)*u\/((u*u**(-15)*u*u)\/u)*u*u*(u**(-7\/5)*u)\/(u**1\/u))**(-10\/11) assuming u is positive.\nAnswer: u**(-326\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 49. Determine i(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2 (c) 36 (d) 0.4 (e) 26\/21 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbvybbyvbb. Give prob of picking 1 y and 1 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -7\/60*h**5 + 0*h + 0 + 1\/120*h**6 + 1\/4*h**4 + 0*h**3 - h**2. Does 14 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f + 2. Let y be q(0). Solve -2*w - 7 = w + 2*b, 0 = -y*w - 4*b - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(26*f - 10*f - 6*f) - 1 + 3*f + 1.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(7) - (sqrt(7) + 0))*2 - (sqrt(77)*-2)\/sqrt(11)) + -4)*6.\nAnswer: -23 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101621 is divided by 1576?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w - 12. Let t = 10 + w. Suppose -1232 = -t*u - u. Is u a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9704 is divided by 641.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300269 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: Let z = -17428 + 17343. What is the nearest to -0.2 in 0.2, z, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*s, s = -w + 2 + 1. Suppose -3*i - 4*z = -37, w*i - 3*z + 8 = 44. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 + 2*z + 18 + 20 + 0*z - 2*z + 5*z - z - 2*z + 5*z - 2*z + 3*z + z + (0*z + 3*z - 5*z)*(5 - 5 - 1) + 6*z - 2*z - 2*z - 4 + 4 - 2*z + 3*z - z + z.\nAnswer: 14*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11524, 23050, 34576, 46102, 57628, 69154?\nAnswer: 80680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urau when four letters picked without replacement from ruuouoouuauu?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 54 (c) -0.132 (d) -2\/7 (e) 2\/15 (f) 0 (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89605, 89607, 89609, 89611?\n\"Answer: 2*o + 89603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k)**(-15))**39 assuming k is positive.\nAnswer: k**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 4. Let o be x(0). Suppose -2*s - o = f, 0 = f - 5*f - 5*s - 10. Solve f*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 287, 1181, 2983, 5999, 10535, 16897, 25391?\n\"Answer: 51*o**3 - 5*o**2 - 50*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 + 215. Suppose x*o - 5*o + 5 = -5*y, 0 = -4*y + 2*o + 14. Solve -2*p = b + p + 14, p = 3*b + y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and -87\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.59 minus 0.4?\nAnswer: -25.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/14155 and -58\/1043.\nAnswer: 99085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -76 - (-1374 + 1413)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.43 + 533.57. Let w = 534.9 - f. Is 0.387 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 5, -2, 20622, -2\/247?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392015 and 4401150.\nAnswer: 717387450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w + 63*w + 94 = 0. Let o(n) = w + 8*n - 10*n - 21. Let x be o(0). Solve 1 - x = 3*j - 5*s, -2*s + 10 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 11.72834 nanometers?\nAnswer: 0.00000000001172834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80352 = -1962*s - 2380*s - 680*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.5 + -48. Let c = 3.3 - -0.7. What is the third smallest value in 1\/4, c, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, 6, 35?\n\"Answer: 29*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, w: 7, r: 2, c: 1}. What is prob of sequence cwd?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 104*m - 118. Is 11 a factor of q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643*y**2 - 631*y**2 + 1269*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 - w**2 + w - 6*w - 2*w + 4. Suppose 54*k + 132 = 32*k. What is q(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 15*z**2 - 28*z - 10. What is the units digit of f(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 - 13*c - 68. Determine l(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566323?\nAnswer: 11, 23, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = -20. Let i be (35\/18 - 2)*n. Let q = -3 - -6. Which is the third smallest value? (a) q (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4522)\/(-102) + (-1)\/3. Let c(f) = 8*f**3 - 22. Let i(y) = -y**3 + 3. What is w*i(p) + 6*c(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*-4*-5 + 1)*5 - (((2*sqrt(228))\/sqrt(12) - sqrt(133)\/(sqrt(7) + 1*sqrt(7))) + (-5*(sqrt(19) - -4*sqrt(76)))**2).\nAnswer: -38470 - 203*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362706.\nAnswer: 2, 467, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (5 - -9)) + (-72 + 18 - -15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/4 + -53\/12. Suppose 0 = f + 3*f. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -p + 13, -p - 10 = -3*g + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 29 = 5*h - 36, -5*h - 7 = -4*m. Suppose -160 = -m*c + 7*c. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0 - 3\/4*p**4 - 3\/2*p**3 + 15*p**2 + 0*p. List the prime factors of f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose 0 = -r + 4*y - 21, -2*r + 5*r - i*y + 23 = 0. Which is greater: r or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -86. Which is the nearest to 2\/5? (a) r (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - 6*b - 1. Determine y(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 389. Suppose -t + 1067 = 5*p. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w**2 + 6*w + 5. Let d be h(-1). What is the highest common factor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 2 + 2 + 6 - 2.\nAnswer: 13*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 2 = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1461)\/(-9) - (-7)\/(-21). Suppose 3*d = f - 50 + 1, -4*d = -3*f + b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202075 (base 10) in base 2?\nAnswer: 110001010101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 976)*66000\/225. What is w rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -9*j**2\/2 - 71*j + 2709. Calculate f(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 8:47 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3443117, -3443108, -3443099, -3443090?\n\"Answer: 9*x - 3443126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 55181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*t - 35 = 0, 5*j + 35*t - 25 = 36*t. Solve -3*o + j = -l - l, 0 = -l - 4*o - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 + 2*z**2 - 7*z - 2. Let p(l) = l**3 + l. What is 4*p(o) + u(o)?\nAnswer: -o**3 + 2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.519712 - 30986.\nAnswer: -30961.480288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 212 = 400. Is (-4)\/(-272)*8 - 171915\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*c**2*m**2 + 783*c**2 + 3*c - 78*m**3 + 111*m - 410 wrt m.\nAnswer: -134*c**2*m - 234*m**2 + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35936 divided by -8984.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -231, -346, -463, -582?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.788 and -0.34.\nAnswer: 0.60792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2363026 rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 6064*v\/3 - 2298256\/9 = 0. Calculate v.\nAnswer: 758\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -909 (b) 5 (c) 6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 3*b. Suppose -41*q - 7*q + 1344 = 0. What is the remainder when (6\/b)\/((-10)\/(-180)) is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-76)\/(-3) - 2)*(-30)\/(-25) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5))**(-3\/38)*(u\/(u\/(u*u*(u\/(((u*u*(u*u\/(u\/u**(-1\/6)*u)*u)\/u*u)\/u)\/u))\/u)))**0 assuming u is positive.\nAnswer: u**(-21\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, -1.6, 0.5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4142, -16560, -37252, -66218, -103458, -148972, -202760?\n\"Answer: -4137*i**2 - 7*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20 - 0. Suppose -2*u - c = 3*u. Let f = u + 14. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/12 + z**3\/6 + 80*z**2. Suppose 4*u - 9 + 21 = 0. Determine w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336 - -599. List the prime factors of f.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l + 5*r, 5 = 6*l - l + 2*r. Let q be 6\/(-3) + 3 + l. Suppose -n = -17 + q. What is the highest common factor of n and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4\/22171, -3, -0.5, 0.2 in descending order.\nAnswer: 0.2, 4\/22171, -0.5, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3850 = -12*x - 3850 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -116164 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -0*t. List the prime factors of 1\/(-4) - (-109)\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25, 0 = -5*n + 4*o - 0*o + 120. Suppose 0 = -5*p - 96 + 386. What is the remainder when p is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -8 (c) 0.0176 (d) -1217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 6. Let l(a) = 3*a - 17. What is 4*l(n) + 11*y(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 176, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10369190, -10369195, -10369200, -10369205?\n\"Answer: -5*y - 10369185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*f + 1430, i + 4*f - 65 = 245. What is the remainder when 86 is divided by (-440)\/(-528) - i\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 7, 29, 51, 73, 95?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = -4*h - 6, -13 = -4*y - 3*h. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqqp when four letters picked without replacement from {q: 14, p: 5, f: 1}?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - -2cc?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51570 - 101270. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -27. Solve -4*m = r - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7251, 7485, 7879, 8433, 9147?\nAnswer: 10021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:12 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/801651?\nAnswer: 4\/801651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004200955578 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*h + 10, -14 = h - 6*m + m. Let x be (12\/56)\/(h\/7). Factor 0 + c**5 + 9\/4*c**4 + 0*c + 3\/2*c**3 + x*c**2.\nAnswer: c**2*(c + 1)**2*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108520*q - 1 - q**2 + 54281*q + 54294*q to s*q**2 + n*q + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000645659 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134102 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -u - 5*x, 0 = u - 7*x + 4*x + 19. Let a = u - -294. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*r**3 + 25 - 25.\nAnswer: 148*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and -37\/10132394.\nAnswer: 20264788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 7. Let m(y) = 7*y - 14. Let r(p) = 2*m(p) - 5*t(p). Calculate the remainder when 9 is divided by r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssoososaaeaaagoo. What is prob of picking 2 a, 1 o, and 1 s?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((972\/(-84))\/(-27))\/((-36)\/3)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 260*x**3 - 5*x**4 - 195*x**3 + 8 - 8.\nAnswer: -5*x**3*(x - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 107.386.\nAnswer: -116.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10633135 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 105. Let u = 9 - k. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -628\/7. Let r = 1 + -0.9. Which is the second biggest value? (a) r (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/248 in 170, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 4 + 4)*(602*p**2 + 2*p**3 - 602*p**2 + 6).\nAnswer: -8*p**4 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 4 - y**3 + 2*y**3 - 86.\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/399 + -8117\/798. Let c(f) = -f + 2. Let u be c(-7). Calculate the common denominator of (u\/(-8))\/(9\/12) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444 - 227. Calculate the lowest common multiple of 93 and r.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 2. Let g be u(0). Let h(v) = 5*v. Let a(s) = s**2 - 14*s. Let d(l) = 3*a(l) + 8*h(l). Let t be d(g). Solve -2*w - t = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -21*l - 81 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 + 28. Let s(b) = -4*b + 30156. Calculate s(g(t)).\nAnswer: 16*t**2 + 30044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 greater than or equal to 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 43 + 42 + 0*l)*(14 + 6 + 3)*(2*l - 3*l - l) in the form p + m*l + y*l**2 and give y.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3477391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1150, 2322, 3560, 4894, 6354, 7970?\n\"Answer: 5*l**3 + 3*l**2 + 1128*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300745, 300741, 300725, 300691, 300633, 300545?\nAnswer: 300421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (124 - 129) + (-15 - 4)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -297?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, -0.133, -5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 3*o = 24*u + 6260, 5*u - 5*o - 7830 = 0. Let a = -806 + u. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4 - 24*u**3 + u - 53 wrt u.\nAnswer: -48*u**2 - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - -1*(sqrt(99) + sqrt(99) + (1*sqrt(99) - sqrt(99))) - sqrt(99))*3)\/((sqrt(18)*1)\/sqrt(2) + sqrt(36)*-2 + sqrt(36)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 96.1. Let s = c + -7. Suppose 2 = -2*x + 6, 4*q - 3*x = -14. Sort s, q, -0.3 in descending order.\nAnswer: s, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -64, -133, -234, -373?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194556784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = d - 6, -2*d - 2*i + 6 = -3*i. Let y(l) = 12*l**2 + 4*l + 3. Let u be y(-4). Suppose d*g + 1 = u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1 + 0*f**2 - 4*f + 2*f**2 - 3*f - 3*f**2. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w + 7. Let x = -510 - -502. What is p(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*d**2 + 3 + (76*d + 34 - 34)*(-2*d - 1 + 1) - d**2 + d**2 + 3*d**2)*(3*d**2 + 2*d**2 - 4*d**2).\nAnswer: -146*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 41 + 3 = 0. Let o be (-64)\/198 + 792\/1452. Which is the nearest to -2? (a) o (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 2 + 7*b**3 + 0*b**3)*(574*b - 218*b + 167*b) to g*b + y*b**2 + s + v*b**3 + x*b**4 and give g.\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 257, 386, 515, 644?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 3 = -a, -h = 3*a + 15. Let g(r) = -3 - 3*r - 4*r**3 + 3*r**3 + 5. Let n(u) = -4*u**3 - 11*u + 7. Calculate h*n(f) + 22*g(f).\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 159818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38900 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84753575, 169507148, 254260721?\nAnswer: 339014294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8504 is divided by 8062?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25484251 or -25484268?\nAnswer: -25484268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -155. Let u(x) = 0*x - 10*x + 5 - 3*x**2 - 22*x + 1. Let k be u(g). What is the greatest common divisor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v = -12, -2*z + 4*v + 12 = -v. Suppose -7*d + z = -4*d. Solve d*f + 3*y + 0 = -18, f + 23 = -5*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -2*f + 3*g, g + 0*g + 725 = -5*f. Is f at most -431\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96 - 71*u + 16*u - 2*u wrt u.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(8\/(-26)) - 1. Let k be 4\/z*35\/75. Put -2\/5, k, 4 in descending order.\nAnswer: 4, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*m + 5*w, 0 = -2*m - m - 3*w + 27. Suppose 14 = m*u - 30. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3587859 and -145\/6.\nAnswer: 7175718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g - 6. Let y(m) = -m - 1. What is -o(s) + 3*y(s)?\nAnswer: -29*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -43. Let y = -41.1 + g. What is the closest to 1\/3 in -16, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14820, -29659, -44500, -59343, -74188?\nAnswer: -89035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*m + 9*m + 45 + 47 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 1 + -3 + -7 + 24 + 1 + -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -337 - -100. Let o = 236.999779 + p. Round o to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(34\/5)\/c)\/c)\/c**(-29) assuming c is positive.\nAnswer: c**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175638 and 17082?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 439*l\/2 - 2245.\nAnswer: (l - 10)*(l + 449)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8*t + 3*t = 0. Let k be 14\/(-4)*(t - (-4 - -2)). Let s(x) = -x**2 - 16*x + 3. What are the prime factors of s(k)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4702088.82 to the nearest one thousand.\nAnswer: 4702000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(-3 + sqrt(243)))**2.\nAnswer: -6048 + 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m*m*m**(-22)*m)\/(((m\/m**(-1\/18))\/m)\/m*m\/m**(-10)) assuming m is positive.\nAnswer: m**(-379\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 3*n**2 + 5*n + 10. Let i be b(-4). Let r be 4 - 2 - (0 - i - -5). Solve 0*u + u = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.48.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*u = -201, 1127 = 16*a - u - 604. What is the highest common divisor of a and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 2, d: 4, o: 6, i: 3}. What is prob of sequence olo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -995\/33, -1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19609 and 580.\nAnswer: -11373220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:51 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58985989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290829?\nAnswer: 23, 56123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/3 + 47865*k**2 - 191464*k + 574396\/3 = 0. Calculate k.\nAnswer: -143599, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.087 - -0.017. Let r = v + 0.07. What is the third smallest value in -5, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1013 - -5067\/5. Let j = -2.6 - 0.4. Let g = -7 + 5. Which is the second smallest value? (a) g (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 112.8. Let v = -1.2 - r. Let u = -8 + 8.5. Which is the closest to 2\/3? (a) -4 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 2*p + 12*i - 2450, 0 = 4*p - 3*i - 4920. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 3*y + 3. Let t be (-48)\/(-14) + 134\/14 + -10. Let f(r) = 15*r**2 + 25*r + 25. Determine t*f(i) - 25*l(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, i: 3, d: 1}. What is prob of picking 2 i, 1 k, and 1 d?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244926 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 6:25 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 176 = -5. Suppose 133*z = 136*z + r. Let b(p) = -p**3 - 2*p**2 + 5*p + 3. Give b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8959, -8572, -8183, -7792, -7399, -7004, -6607?\n\"Answer: l**2 + 384*l - 9344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 7*l**2 - 760*l**4 + 54*l**4 + 793*l**4 as p*l**3 + j*l**4 + n*l**2 + a + m*l and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*q + 1, q - 3 = -w - 0. Let c be w\/(-3 - (-40)\/12). Let r(m) = 0*m**2 + m**2 + 1 - 3*m + c*m**2 - 2*m**2 - m**3. Give r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((26\/78)\/(2\/12)))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**3 + 14*f**2 + 1124. Let k(w) = -11*w**3 - 22*w**2 - 1686. Calculate -8*d(o) - 5*k(o).\nAnswer: -o**3 - 2*o**2 - 562","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13445202 is divided by 33198.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2979000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -180, -241, -264, -237?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 - -727?\nAnswer: 6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 1. Let g(r) = -4*r. Let l(n) = -5*g(n) + 6*v(n). What is the first derivative of l(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 26*b**2 + 9*b - 96. What is the ten thousands digit of r(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -1.1626, -0.14 in descending order.\nAnswer: 6\/11, -0.14, -1.1626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 891892113 to the power of 1\/2, to the nearest integer?\nAnswer: 29865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2845, -3211, -3821, -4675, -5773, -7115?\n\"Answer: -122*b**2 - 2723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4612*o**2 - 17456*o + 96513053?\nAnswer: 9224*o - 17456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 - -0.1543192378?\nAnswer: 788.1543192378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12274 - -12275. Sort g, 1\/2328, 0.5, -0.2 in ascending order.\nAnswer: -0.2, 1\/2328, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12239? (a) 0.4 (b) 18\/11 (c) -2\/7 (d) -0.2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**4 - 30*i**3 - 208*i**2 - 376*i - 236. Let t(y) = 3*y**4 - 27*y**3 - 209*y**2 - 376*y - 235. Let o(u) = -5*n(u) + 4*t(u). Factor o(a).\nAnswer: 2*(a + 2)**3*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10755 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-3)\/6. What is the tens digit of (16 - m) + (6 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-24)*(7410\/1197)\/130?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 2*x + x. Let p(a) = 2*a**2 + 3*a. Let l(t) = t. Suppose 0 = 2*g - 7*g + 15. Let z(y) = g*l(y) - p(y). What is z(f(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 233 (c) 0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/104)\/(51\/((-17901)\/(-54))))\/(2\/(-536)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 84*z + 159. List the prime factors of k(6).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/412 and 13\/18?\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -627700 or 0?\nAnswer: -627700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h**2 + 4*h + 7. Let w(v) = -14*v**2 + 6*v + 11. Suppose 0 = -5*t - 0*f - 2*f + 48, -5*f + 20 = 0. Let i = 7 - 12. Determine i*w(m) + t*d(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 7:03 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i + 5*i - 1 + 36*i)*(-3*i**2 + 3*i**2 + 9*i**3) in the form c*i**4 + h*i**3 + u + y*i + n*i**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2293 - 769 - 765 + 17859*y - 759 as d*y + t and give d.\nAnswer: 17859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 - 10453.8857?\nAnswer: -10453.7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-3 + -9 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1644285479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 - 336. Let r(v) = 3*v**2 + 2*v. Determine r(y(q)).\nAnswer: 3*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14092 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4553, -18209, -40971, -72839?\n\"Answer: -4553*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + sqrt(539)*-1)**2 + -6*(sqrt(539)*1)**2) - (-2 + (sqrt(539) - sqrt(539)*4)**2 + 2 + -2).\nAnswer: -10221 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - 25.7. Let i = l - -28. Let h = -0.1 + -0.1. Which is the closest to h? (a) 3 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 7:38 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1380 divide 6388020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 - 3*x**2)*(2*x + 1 - 1)*(-3 + 5 - 3).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20250545 != 182254906\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -6558?\nAnswer: -6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -351 + 312. What is the second biggest value in s, -4, 0, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32520252?\nAnswer: 2, 3, 17, 23, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -5, -38, 4, 2 in decreasing order.\nAnswer: 170, 4, 2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19520?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 - 3*v - 53. Let w be q(-4). Solve 4*y - 3*i = 6, 5*i - w = 42*y - 41*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 53, 515 in descending order.\nAnswer: 515, 53, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 551, 1193, 2091?\nAnswer: 3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z**2. Let g(k) = 2*k**2 - 152. Give g(r(f)).\nAnswer: 450*f**4 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 681*m + 32496. What is the units digit of a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*f + 4*w - 5, 5*f = 5*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59630 and 65593.\nAnswer: 655930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tssc when four letters picked without replacement from sxssxxxstscxsxcsxx?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 337 and 30934915?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/6)\/q)\/q*q\/(q*q**(-8))*((q\/(q**0*q))\/q)**(3\/8))**(23\/3) assuming q is positive.\nAnswer: q**(3197\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 13*j**2 - 2*j**2 - 6*j**2 - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*z + 79, 225 = -5*y - z + 65. Let g be 3 - -6*(-28)\/6. Let q = g - y. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94702381 rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 192108 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*r = 65, -5*r + 0 = 5. Let c(m) = -m**2 - 30*m + 15. Let u be c(s). Solve -i = 3*d - 15, -5*d + 2*d + 4*i + u = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Sort i, 3, -4 in ascending order.\nAnswer: -4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -6*y**5\/5 - 5*y**3\/3 + 5. What is the third derivative of c(m) wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 45*h - 26*h + 1 + 41*h - 3*h**4 - 3*h**2 + h**4 to d + w*h**4 + z*h**3 + s*h**2 + q*h and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - 132\/(-16)) + 0 and -61\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - s**3 + 13*s - 39*s - 5*s**3.\nAnswer: -s**3 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let b be (-28)\/98 - 3912\/28. Let k be (b\/42)\/(q\/15). What is the highest common divisor of 100 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4405 = -13219\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 86*o + 45. Is c(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1445 and -7\/469795?\nAnswer: 7986515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 8*u**2 + 9*u - 3. Let q be k(-5). What is the units digit of (-54)\/(q\/(-78) + (-2)\/13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737535.\nAnswer: 3, 5, 49169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3621\/20 + 739\/4. Let b = 422 + -18148\/43. Let i = -51\/172 - b. What is the common denominator of i and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -775 - 306?\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3376 + -3372. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/24 + p**3 + p**2. Let q be c(4). Suppose q*a = -1 + 15. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140930 is divided by 70438.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 - 7. Which is the third biggest value? (a) x (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-15)\/(-9) - 2)\/1*-582 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:41 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.409983+-49.2\nAnswer: -49.609983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -21, -7\/10, 1654?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + c6?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjbzzjlfzbzs. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.69 + 3.69. What is the fourth biggest value in 0.4, v, 5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/27*3\/2. Solve 0 = -n*u - 10 - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, l: 1, q: 1, u: 1, y: 4}. Give prob of sequence buy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 22 + 56 = 0. Let c = z - 4. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 21*w**2 + 47*w + 13. Let h be z(23). Which is the third smallest value? (a) 4\/3 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185333 or -185331?\nAnswer: -185331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(5\/12). Let w = -60 - -25. Let f = -103\/3 - w. Which is the smallest value? (a) -0.3 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.484 + 1851.99?\nAnswer: 1778.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/220*2\/(-6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 2*g - 34. Let a = 30 + g. Solve -a*s = -5*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1088) + -1 + -4*sqrt(68)\/sqrt(4)) + (sqrt(153) + sqrt(153)*-1 + (sqrt(1700)*-1)**2)*4 + 1.\nAnswer: 16*sqrt(17) + 6797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvl when four letters picked without replacement from {v: 2, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4) - (816\/(-64))\/51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 12*r**2 - 8*r - 12. List the prime factors of q(13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/370455 and 7\/390.\nAnswer: 9631830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2\/3 + 1640*f\/3 - 4288 = 0. Calculate f.\nAnswer: 8, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = -0*t - t, 22 = 4*d - 2*t. Suppose 2*w + 23 + 5 = 3*q, 2*w + 4 = q. Suppose -b - d*b + q = 0. Solve 0 = -5*i, -3*g - i = -6*i + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 a factor of 24694034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 2*h**2 - 2*h + 1. Let f be c(-2). Let i = 8 - -6. Let r(b) = 12*b + 12. Let v be r(0). Solve -f*q + v = 4*m, -6*m + 2*q = -3*m + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71913.\nAnswer: 3, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1400332 and 13891.\nAnswer: 13891.1400332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -18.9. What is the nearest to 0 in n, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3618 + -17219358.12.\nAnswer: -17215740.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 0*j)*((3 + 1 - 2)*(-2*j - 1 + 1) + 2*j + 0*j - 3*j - 80*j + 5*j - j).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 4, 1119, -2\/9, -1\/2, 2 in ascending order.\nAnswer: -13, -1\/2, -2\/9, 1, 2, 4, 1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Is 43 + v\/((-3)\/1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1585*l**4 - 1204*l**3 - l**2 + 142660650*l wrt l.\nAnswer: 19020*l**2 - 7224*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2803459 divided by 6.\nAnswer: -2803459\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**3 + 18*x**3 - 25*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 + 8*x + 9. What is k(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 12\/1163 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 989 and 112493.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 4, 1, -3.\nAnswer: -13, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/18 - 5*a**3\/6 - 7*a**2\/6 + 34*a. Factor j(d).\nAnswer: -(d + 7)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31259410 is divided by 629?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:11 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiv when three letters picked without replacement from aiv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.5, 1\/3, -3\/7?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {f: 1, q: 1, i: 1, s: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 54*l + 358. Calculate d(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108761, 217513, 326265, 435017?\nAnswer: 543769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6\/4)*(-54)\/(-12). What is the second derivative of -5*a**2 - j*a - 3 + 6*a**3 + 12*a**2 - 6*a**2 wrt a?\nAnswer: 36*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r + 6. Let k be 1\/(((-2)\/(-1))\/(2*-17)). What are the prime factors of v(k)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezzezzezzz. Give prob of picking 4 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -229, -511, -905, -1411, -2029, -2759?\n\"Answer: -56*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14410*i**2*v + 4*i*v**3 + 84*v**3 + 3*v**2 + 31 wrt i.\nAnswer: -28820*i*v + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/81 - 86\/(-432)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 13*n**2 + 41*n**2 - 14*n**2 - 10*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22 + (-55)\/(-30))*-12*136\/32.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1656543*g**2*n**4 - 142552552*g**2 - 89*n**4 wrt n.\nAnswer: -6626172*g**2*n**3 - 356*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3342 divided by -2.\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 6. Let z = 16 + -10. Let p be b(z). Are p and 6\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8 + 1. Let u(k) = k**3 - 5*k - 2. What is u(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3 - 4483747*p**2 - 2847184.\nAnswer: -6*p**2 - 8967494*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*5\/((-60)\/(-87)). Suppose -20 = -116*p + 1604. Which is bigger: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:04 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -755224, -755821, -756418, -757015, -757612, -758209?\n\"Answer: -597*q - 754627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18702\/1049?\nAnswer: 18702\/1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*g + 5*g**3 + 25*g - 3*g**3 - 1 + 5*g**2 to the form n*g**3 + t*g**2 + q + u*g and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(14)\/(sqrt(7) - -3*sqrt(7)))**2 - (sqrt(72) + -3)) + ((sqrt(84)\/sqrt(112) + sqrt(12))\/sqrt(6) - sqrt(216)\/sqrt(3))**2.\nAnswer: -30*sqrt(2) + 243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 60\/315*((-12)\/16)\/(-1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511872 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3)*-1*170\/(-136)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 4. Let w = 1 - d. Find the third derivative of -3*r**2 + r**2 + w*r**2 - 3*r**4 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-22)\/(-20) - (-32)\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 122*t**2 + 10280*t - 20056.\nAnswer: -2*(t - 46)*(t - 2)*(t + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69967158 to the power of 1\/2, to the nearest integer?\nAnswer: 8365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15347685 (base 9) to base 10.\nAnswer: -7649231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2. Let z(o) = -208*o. Calculate z(n(j)).\nAnswer: 832*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 759 - 172 + 345 = 1136 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.288 months in centuries?\nAnswer: 0.52774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddddddddddddtdd?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.253027 months in centuries?\nAnswer: 0.0168775225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-24)\/(12\/(-2)) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 82985, 161956, 240927?\n\"Answer: 78971*w + 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4\/7, -1, -5, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -5. What is the lowest common multiple of 2 and ((-16)\/6)\/2*j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, d: 2, t: 1}. Give prob of picking 1 t, 1 p, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1203, 2474, 3745, 5016, 6287, 7558?\nAnswer: 8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 14*m**2 + m - 10. Let p be i(14). Solve -p*s = -2*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/4)\/5 - 0. Let w(l) = -6*l + 14. Let k(g) = 5*g - 15. Let m(y) = 3*k(y) + 2*w(y). Let v be m(7). Calculate the highest common factor of r and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3339 and 1484.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*7\/(-28)*-2. Solve i = 7*f + 160 - 125 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.44 - -3.4. Let a = d - 0.06. Let v = -14 + 17. What is the third biggest value in a, v, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.2. Let x = -11 + -1. Let j be (-99)\/21 + x\/42. Which is the closest to 1\/2? (a) s (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30207087 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23527373 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 57780 - -273929. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*12\/2. Solve -q*y + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 14*c**2 + 11*c - 21. What is s(-15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1300) + 0) - (-1 + sqrt(1300) - sqrt(1300))*4)**2 - (-3*sqrt(4719))\/(sqrt(9)\/(2*sqrt(3))).\nAnswer: 146*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73062991 divided by -53?\nAnswer: 1378547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, r: 5, u: 2, k: 3, d: 1}. Give prob of sequence ds.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*c - 118325962 + 11016529 - 46993027 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**3 - 24*x**2 - 4*x - 44. Let b(k) = -k**3 + k**2 - k + 4. Calculate 22*b(c) + 2*m(c).\nAnswer: -2*c**3 - 26*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70416 and 1728?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((70\/(-24))\/7)\/(45\/(-72)). Which is the second smallest value? (a) -4 (b) 0.41 (c) u (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let m(i) = 4*i**2 + 148 - 148. Give m(s(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21 + 7)\/((-1)\/4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/216 and (-6 + 88\/12)*16\/6336.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 + 8*p - 7. Suppose 0*j - 3*w + 23 = -4*j, 5*j = -w - 24. Let z(d) = -d**2. Let n(a) = j*z(a) - r(a). Determine n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110100101001110 (base 2) to base 6\nAnswer: -324450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, 0, 1\/5, 302.46?\nAnswer: 302.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.144 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let r = -1 + -1. Put -0.3, u, r in increasing order.\nAnswer: u, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4071.5158 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7*(-8)\/140)\/((-4)\/20). Solve 9 = -3*q - b*g, 1 = -2*q + 7*g - 10*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -4, -5, -1 in increasing order.\nAnswer: -5, -4, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 74*i - 78*i. Let s = i - 51. Suppose 0 = 3*t + s*q - 46, -8 + 4 = -2*t + 4*q. Solve a = 3*a - t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 0. Suppose y = -4*m - z, m - 35 = y + 2*m. Let x = 45 + y. Solve 5*i + x - 22 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*t - 3*o + 203, 5*t + o + 184 = 0. Which is smaller: -35 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:36 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 4*p - 5*p + 8*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 15)\/(3 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + (sqrt(300)*2 - sqrt(300))**2 + -4 + -1)*4 + -3.\nAnswer: 40*sqrt(3) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -207 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 133. Suppose 2*w = -2*v + 36, 2*w - 31 = v + 2*v. Let u = w + t. Solve u*c = 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(405) + 0))**2.\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 4*o. Let t(n) be the third derivative of n**4\/24 - 2*n**2. Let i(u) = 4*t(u) - v(u). What is the third derivative of i(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2133 from 52295077.\nAnswer: 52295076.7867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g + 80. Let o be g\/18 + 7 + -10. Let s = -5\/9 - o. Which is the closest to -0.1? (a) 1 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/17*(-6)\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r + 12 + 8 + 32. Let i be y(-6). What is the second biggest value in -5, 0.5, i, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let l be 9 + -14 - 0\/1. Let c(i) = 203*i. Let x(t) = -34*t. Let v(s) = l*c(s) - 29*x(s). Determine y(v(a)).\nAnswer: -1682*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3308125 is divided by 639?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/5 - 71*d**3\/5 + 804*d**2\/5 - 2956*d\/5 + 3248\/5 = 0. Calculate d.\nAnswer: 2, 4, 7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7.2. Let f = g + -0.8. Is -2\/9 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/4*p**2 + 3 - 1\/4*p**3 - p = 0 for p.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(686) + -3*sqrt(686)*-3)*3)\/(sqrt(567)*-1*-6 + sqrt(567) - (2*sqrt(567) + sqrt(567))*1).\nAnswer: 35*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12786 + -8280. What are the prime factors of f?\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 + (56\/8)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 60. What is the hundreds digit of 2 + 1 - 3020\/(t\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a**2\/5 - 102579*a\/5 - 3753\/5 = 0. Calculate a.\nAnswer: -3\/82, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20125.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1064913.34 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 13*c + 6. Suppose -j + 2*t + 14 = -5, -t = -5*j + 122. Suppose 12*k - j = 3*v + 8*k, 0 = -3*v + k - 31. Calculate l(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11101101?\nAnswer: 11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((630\/112)\/5)\/(3\/(-68)))\/(5\/10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378270 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 461, -85 in decreasing order.\nAnswer: 461, 2, 1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3738.\nAnswer: -5\/3738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87702180 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {l: 2, g: 2, o: 4, v: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3681 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(300) - (sqrt(300) + -4)) + sqrt(300)) + sqrt(300) + -4 + sqrt(300)*-4)**2.\nAnswer: 1200*sqrt(3) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:29 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - j**3 + j**2 - j**3 as c + m*j**2 + p*j**3 + a*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z - 543 = -25*z - 189 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*i - 3 - 3 = 0, -3*g + 6 = 2*i. Solve 0 = -g*x - 2*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8918 and 75\/2744.\nAnswer: 35672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044371181 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: What is 3\/3*10\/25*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + g - 1 + 0 + 0 - 2*g + (0 - 6 + 4)*(2*g - 1 + 1) + (18 - 13 - 8)*(6*g - 3*g - 2*g) in the form s + p*g and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193931424 to the power of 1\/2, to the nearest integer?\nAnswer: 34553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23707 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054893449 and 1838?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104265 is divided by 14720?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -q - 16, 0 = -4*r + 22*q - 17*q + 64. Suppose 3*k - 380 = -k. What is the remainder when k is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1358181357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56552 or 56556?\nAnswer: 56552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.44686 to one decimal place.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z + 9. Let x be j(3). Is 6\/x*1515\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(0 + 1 - -3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373716*s - 373716*s - 373721*s + 1494863*s - 373713*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882 is divided by 224.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 5539014.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111121 (base 3) in base 9?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 37*t + 124. Determine s(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8523, 22338, 36163, 50004, 63867, 77758, 91683?\nAnswer: 105648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.101, -197, 4 in increasing order.\nAnswer: -197, -0.101, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154256485 is divided by 3927.\nAnswer: 3925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1628781286 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10110, -40538, -91286, -162360, -253766?\n\"Answer: -n**3 - 10154*n**2 + 41*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 43, -8\/3, -27\/25, -0.1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 140*v - 6 = -138*v, -4*v = 5*n + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/598 and -77\/563914.\nAnswer: 563914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300138 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.096, -117, 16 in descending order.\nAnswer: 16, -0.096, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-6) + -49 - -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 23*u - 12. Let k = -12 - -7. Let l be p(k). Sort -8, -1, l.\nAnswer: -8, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) - (sqrt(624)*-2 - sqrt(39))) + sqrt(390)\/(sqrt(20)\/sqrt(2)))\/(2*(-2*sqrt(243) + sqrt(243))))**2.\nAnswer: 1573\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 3 - 1)*(-34*p + 8*p**2 + 34*p).\nAnswer: -8*p**3 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x = -212*x + 74*x + 1960000. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-4 - (0 + -1). Let z = -11 + d. Let k = 42 + z. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + -74?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 22152\/43, -20, 1\/2 in decreasing order.\nAnswer: 22152\/43, 1\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 2*d + 8*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1578 and 1052?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 46 = -0*m - q, 5*m - 115 = 3*q. Solve m = -6*l + 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4520.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22879524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 981, 974, 965, 954, 941, 926?\n\"Answer: -y**2 - 4*y + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7926 + 7929. Put 2\/5, 171, -4\/9, w in decreasing order.\nAnswer: 171, w, 2\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 350208*c - 1400826. What is u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3 + 498548450*r**2 + 10*r - 39860200 wrt r.\nAnswer: 12*r + 997096900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 1, 1.5, 116, 3 in decreasing order.\nAnswer: 116, 3, 1.5, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488136 by -40678.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*c**3 - 2*c - 95*c**3 + 2*c - c**2.\nAnswer: -227*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/16 + 4)*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 1, d: 1, v: 1, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 4*a - 1. Let z(c) = -c**2 - 1. Let r(x) = -9*x**2 + 3*x - 6. Let l(p) = r(p) - 6*z(p). Calculate -3*j(h) - 4*l(h).\nAnswer: 6*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {l: 2, j: 6, e: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16148852 rounded to 3 decimal places?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1 - (1 + -6). Suppose i*h - 5*o = 3*h + 29, -3*o + 15 = 3*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 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: Let r(i) = 3*i**2 + 2*i - 2. Let g = -3 - 0. What is the units digit of r(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168772 - -168811. Let o = 407646052\/413 + -987037. Let f = o + -1\/59. Which is the second smallest value? (a) f (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -99. Let k(x) = -x + 5. Let j be k(3). What is the second smallest value in -2, c, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y - 162 = -82*y. What is the highest common divisor of 666 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 1086, 2541, 5086, 9081?\nAnswer: 14886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186377 or -186378?\nAnswer: -186378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d - 2*d + 2*d)*(-2*d**4 - 2*d**4 - d**4) - 2*d**5 - d**5 + 4*d**5 + (-46*d**5 + 7*d**5 - 5*d**5)*(0 - 2 - 3).\nAnswer: 261*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 502037.1 days?\nAnswer: 43376005440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7466 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/r)\/(r**(-15)\/r) assuming r is positive.\nAnswer: r**(167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18 + 45 - (-207)\/(-9). Let o = 23.8 - 2.8. Which is the nearest to 0? (a) n (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 0 + 6*i + 4)*(0 - 2 + 0 + (1 + 4 - 6)*(0 - 4 + 2) - 2 + 1 + 3 + 1 - 1 - 1) + 3*i + 36*i + 128*i.\nAnswer: 165*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.37. Let b(t) = 13 - 6*t - 18 + 3*t + 6. Let v be b(1). What is the nearest to 2 in l, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91856240899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -810*k + 2845*k - 685 - 854 with respect to k.\nAnswer: 2035","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 14*p**2 - p + 23. Let u be n(-11). Let w = 552 + u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 3*l**3 + 20*l**3 + 22*l**3 + 33*l**3.\nAnswer: 54*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*n**2 - 17.\nAnswer: -256*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 990, 10, 3, 2, -4 in decreasing order.\nAnswer: 990, 117, 10, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - h**3 - 246*h + 485*h + h**4 - 30 - 240*h as n*h**2 + v*h**3 + b*h**4 + x*h + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 959*y = 957*y - 16, 4*y = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 722*(-8)\/(-24) + (-14)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 305 = 4*z + 6125, 4*n = 5*z + 5824. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -5774482\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/14 + (-5415)\/(-105). Is (-3)\/4 - u\/(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(4 - h - 2 - 4).\nAnswer: -2*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -47, -65, -83, -101?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 341*j + 3953. Let w be r(12). Solve -2*q = m - 0 + 6, 0 = 4*m + w*q + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -406, -358, -306, -250, -190, -126?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1346*a. Let m(r) = -2*r. Give m(k(d)).\nAnswer: 2692*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:35 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*n + 10, 19*s - 16*s = -n + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/35)\/((-2)\/5). Suppose 6 + 8 = b - a*z, -b + z = -19. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:08 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3634*b**2 + 6*b - b**4 - 3630*b**2 + 7 - 9 to the form r*b**2 + l*b + t*b**3 + d*b**4 + j and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - h**3 - 4*h**3 + (-2 - 2*h + 2)*(2*h**2 - 2*h + 2*h) - 5*h**3 + h**3 + h**3 + (-4*h**2 + h - h)*(230 - 230 + 47*h + (2*h + 1 - 1)*(-2 + 2 - 2)).\nAnswer: -181*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -18?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 divided by -354?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*a + 232*a = -24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let q = -2.2 - -2. Let y = 0.4 + q. Which is the third biggest value? (a) y (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62725 and 55198?\nAnswer: 1379950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/19259 + 39731308\/173331. Let o = p + -227. Factor 2\/9*f**5 + o*f**2 + 14\/3*f - 2\/3*f**4 - 4\/3*f**3 + 2.\nAnswer: 2*(f - 3)**2*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 11 - (7 + (-3 - 3))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 + 2163152?\nAnswer: 2163043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 5, 3, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 190*o - 190*o - 3*o**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120527 (base 8) in base 12?\nAnswer: -1ba9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/186*(-6)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.412 - -0.088. Let i = -417 + 411. Which is the closest to -2\/7? (a) d (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5377, 5374, 5379, 5398, 5437, 5502?\n\"Answer: y**3 - 2*y**2 - 4*y + 5382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53183504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2448 and 37749384?\nAnswer: 75498768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 10. Let n be h(6). Let p(s) = s**2 - s - 2. Let q be p(n). Suppose b - 2*g = 18, q = 4*b + 2*g + 24 - 106. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5468, 21909, 49304, 87641, 136908, 197093, 268184, 350169?\nAnswer: 443036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25897 divided by -2467?\nAnswer: -25897\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -155*v + 70*v + 84*v. Put -2, -5, -54, 1, v in decreasing order.\nAnswer: 1, -2, v, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -5, -7 in descending order.\nAnswer: -5, -7, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(24\/(-9))*12\/(-9). Let b be (-56)\/(-21) + j\/(-3). Suppose t = -2*l + 13, 15 = -b*t + 3*t + 3*l. What is the greatest common divisor of 63 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -41. Let w = -10 - m. What are the prime factors of (-3)\/((-12)\/32) + w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -24\/5*n + 42\/5*n**2 + 3\/4*n**4 - 23 - 22\/5*n**3. Factor a(j).\nAnswer: 3*(j - 2)**2*(5*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 6, w: 1, e: 2, k: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9063156 to the power of 1\/2, to the nearest integer?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*m + 4*m. Suppose 4*l - 3*o - 376 = m, -o - 3*o - 178 = -2*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6049?\nAnswer: 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66214?\nAnswer: 2, 33107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 16*n - 22*n + 95.\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-215)\/(-3) + 4\/(-6). Let v = 4340 - 4334. What is the third derivative of 4*s**2 - 18*s**2 - w*s**6 + 75*s**v wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 i when three letters picked without replacement from {i: 6, v: 4, g: 1, f: 1, w: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 136, 286, 492?\n\"Answer: 28*q**2 + 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26\/(-4))\/((-198)\/(-40) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3639, -4339, -2093, 3099?\n\"Answer: 1473*x**2 - 5119*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 13. Suppose 5*s = -0*s. Let i be r(s). Suppose -3*x + i = -8. Calculate the smallest common multiple of 3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s + 1. Let j be 2\/(-10) + 42\/35. What is g(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-15))\/(i**(-1\/6)\/i)*(i**11)**14 assuming i is positive.\nAnswer: i**(847\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1013 - 987. Solve -207 = u*f - 25 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40766 (b) -1\/5742 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 167 + 227. Let j(x) = -x + 1. Let l be j(-2). Calculate the greatest common divisor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314074*t**3 + 314129*t**3 - 628146*t**3.\nAnswer: 57*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 8*d = -112 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 27257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 19. Let f(v) = 2*v + 1. Let h be f(5). Suppose -2*i - 5*m = h - 2, -i - 2*m - 3 = 0. Solve i*l = 2*n + 4, -3*n + b*l = -0*l + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:04 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*11*(2 + -1). Let d = j - -11. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 u, and 1 j when four letters picked without replacement from juuuujujufffxffuf.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(288) + 4*sqrt(288)*-1 - (-5 + 1 + sqrt(288)))**2 - (-3 + sqrt(288)*1 - (sqrt(288) - (-3 + sqrt(288) + -3)**2)).\nAnswer: -240*sqrt(2) + 4301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/4 - 132*i**3 - 801*i**2\/2 - 402*i - 537\/4.\nAnswer: 3*(i - 179)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 bigger than -36369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 10*h + 25. Let m be j(-12). Solve r + 5*i = -m, r - i - 6 = i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d3 + 4?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60214 (base 7) to base 3.\nAnswer: 201220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjv when three letters picked without replacement from {v: 12, j: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 4\/9, 0.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-2*c**5 - 16*c**3 + 16*c**3) + c**4 - c**4 + c**5 + (2*c**4 - 1 + 1)*(6*c - 3*c - c).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8858.034 microseconds?\nAnswer: 0.008858034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 6. Let r(g) = -1181*g**2 + 53*g + 20. Let q(n) = -4*b(n) + r(n). Find the second derivative of q(y) wrt y.\nAnswer: -2362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 132 + (-10 - -6) + 1.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 1\/2, -12, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 69*u + 877. Calculate the remainder when 2069 is divided by a(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 2*o - 1. Let k(x) = -x**3 + 8*x**2 - 7*x - 3. Let l be k(7). Let y be p(l). Suppose -y = -5*s + s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -25*c**3 - 54 + 55 - c**2 - 14*c**3 - c**2. Let q be k(1). Is (q\/6)\/((-18)\/405) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135679695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15332.\nAnswer: 2, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -1, 5, 66.\nAnswer: -4, -1, 5, 20, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + ((-6)\/(-10))\/(108\/(-60)). Which is the closest to f? (a) -422 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 72.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 3*z**2 + (-4*z + 0 + 0)*(-4 + 2*z + 4) - 24*z**2 + 11*z - 11*z.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075844319 a multiple of 4213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -220, -467, -730, -1009?\n\"Answer: -8*o**2 - 223*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-19)\/p*p)\/p)**(-7\/5))**(-34\/5))**(-8) assuming p is positive.\nAnswer: p**(36176\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - 1.4. Let j = -0.5 + -0.5. Let p be (-10)\/12 + (-2)\/(-6). What is the nearest to p in -1\/6, b, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/166 + 2\/(-4). Let k = -3767\/664 - m. What is the common denominator of (225\/(-21))\/((-12)\/(-21)) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -288*r + 285*r + 81. Let k(m) = 14 - r + 2*m + 13. Let s(f) = -20*f. Calculate s(k(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 - d + 3. Let x be v(-3). Let q be x + (0 - (-3 - -1)). Which is smaller: -1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -7*v**2 + v + 7. Let w(y) = 3*y. Let n(b) = -2*q(b) - 11*w(b). Differentiate n(h) with respect to h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18964, 19029, 19108, 19207, 19332, 19489?\nAnswer: 19684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b - 350 = -38*b. Suppose -54*l + 1364 = -b*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 2 + 2)*(j**2 + 1 - 1) + 0*j**3 + 0*j**3 + 2*j**5 + (-2*j**3 - 2*j + 2*j)*(0*j**2 + j**2 + 2*j**2) + (-j**4 - 1 + 1)*(0*j + 22*j + 0*j).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 2. Let g(w) = w**2 + 20*w + 11. Let n(v) = -v**2 - 21*v - 11. Let u(s) = 7*g(s) + 6*n(s). Let l be u(-13). Calculate f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.977995m in centimeters?\nAnswer: 197.7995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9325986 seconds?\nAnswer: 932.5986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 10*u - 12. Let j be h(8). Solve 7*o = j*p + 2*o + 19, -2*p - 3*o = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 13*j - 394 = 0. Suppose -2*q + 0*q = -5*h + 194, 5*h - q - j = 0. Suppose 5*g = h - 15. 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 third derivative of -2*k**4*m**2 - 10*k**3*m**2 + 129*k**3*m - 760*k**2*m + 434*m**2 wrt k?\nAnswer: -48*k*m**2 - 60*m**2 + 774*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120153 divided by -3\nAnswer: -40051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -146.5. Which is the closest to -0.02? (a) v (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87755976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25037 is divided by 1318?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h - 286897*h**4 - 1 + 286901*h**4 - 5*h to the form d*h**2 + c*h**4 + j*h + o + l*h**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371259.\nAnswer: 3, 7, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:38 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 - 14*d**2\/15 + 24\/5.\nAnswer: 2*(d - 6)*(d - 3)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10017937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**6\/40 - k**5\/30 - k**4\/12 - k**3\/6 + 27*k**2\/2 + 86*k. Let v(n) be the first derivative of r(n). Give v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + 0*t - 4 - 5*t + 3*t. Let h(u) = 3*u**2 + 2*u + 3. Let r(l) = -3*h(l) - 2*i(l). Find n, given that r(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145127.\nAnswer: 103, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -1. Let c(v) = s + v + 4*v - 1 - 2*v. Let a be c(5). What is the highest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/45)\/(-7 - (-38)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 58 - 78*f**4 + 81*f**4 + 7*f - 8*f to the form r*f**3 + k*f**2 + v*f**4 + p + i*f and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 759.34 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 9*f**4 + 529*f**2 - 888. What is the second derivative of d(l) wrt l?\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + 8 + -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 356, 846, 1544, 2456?\n\"Answer: w**3 + 95*w**2 - 4*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbiqqfbjiifjfif. Give prob of sequence qj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + (-8 + 8 - -2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + 164*v - 737. Let u be y(10). Determine g, given that -30\/13 - 18\/13*g**2 + 46\/13*g + 2\/13*g**u = 0.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 329*s**4 + 32242*s**3 - 425952*s**2 - 53377920*s + 163123200 = 0. What is s?\nAnswer: -32, 3, 118, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:13 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168239708966 + 15.\nAnswer: 168239708981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 34 = z - 36, -4*z = -k + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 14 - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 + 10*s**3 - 6*s**3 - 3*s wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -591*h + 1048*h - 449*h - 6*h**3 - 3*h**2 + 2. Let q(a) = a**3 + a**2 + a. Determine -o(t) - 4*q(t).\nAnswer: 2*t**3 - t**2 - 12*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -25*b. Let d(f) = -5*f. Let g(l) = -4*l. Let h(s) = -6*d(s) + 7*g(s). Give o(h(x)).\nAnswer: -50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.158 from 33967652909.\nAnswer: 33967652908.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -26. Which is the second smallest value? (a) -2\/5 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583161 and 1131?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.965567 to 2 decimal places.\nAnswer: -52.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -12, -56*g = -5*z - 2749 + 1889 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izs when three letters picked without replacement from ziirersrsr.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 - 2*r - 2. Let t = -2957 + 2948. Let g(y) = -37*y**2 + 9*y + 9. Give t*h(b) - 2*g(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.5338702 milliseconds to hours.\nAnswer: 0.0000023705195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -14952958?\nAnswer: 1\/14952958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 2*d + 1. Let z(q) = -266*q**2 - 4*q - 2. Determine -6*y(t) - 3*z(t).\nAnswer: 804*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(4\/16)\/((-7)\/119). Let u(v) = 4*v**3 + v**2 + v. Let g be (4\/(-6))\/((-16)\/(-24)). Let t be u(g). Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111084733 to the nearest integer?\nAnswer: 10540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-3 + 4 + 1). Let j be d\/2 + (11 - 9). Suppose 2*w - 8 = 4*l, 5*w = 2*l - j*l + 20. Solve -3*g + 1 = -2*c, -c + 2*c - 5*g = -w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 15*i**2 + 6*i + 17 + 6*i - 5*i**2. Let v be p(-9). What is the closest to v in 4, 0.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21320 and 36920?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -23. Let t = p + -13. Suppose -t - 121 = -5*l + 4*i, 5*i - 41 = -3*l. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(153\/(-36)) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/660 and 59\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -1843, -6284, -14939, -29212, -50507?\nAnswer: -80228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 7. Let l be -15*(4 + -3 + 14\/(-10)). Suppose l = 16*i - 22*i. Let m(g) = 1. Calculate i*s(d) - 5*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/36 + b**5\/15 + b**4\/4 - 10*b**3\/9 + 19*b**2\/12 - b - 117. Let u(h) = 0. What is h?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 - 95*k\/8 + 47\/4.\nAnswer: (k - 94)*(k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 33. Suppose 0 = 4*o - u*b - 116, -3*o - b + 3*b = -86. Let l be -60*(-7)\/(o\/(-180000)). What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747484580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - x = 109, -x - 43 = -m - m. Suppose -5*s - 2*a = -3*a - 60, 4*s - 4*a - 48 = 0. Let j = s + m. What is the remainder when j is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289233*h**2*m**6 + 273*h**2*m**2 + 2*h**2*m - 129*h*m wrt m?\nAnswer: 34707960*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + (-19)\/(-3). Suppose -1 - 19 = -4*f. Let t = 67482 + -67480. Solve -5*d + f = -j*i + i, 3*i = t*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + f**3 + 5*f**3 + (-1 + 1 + 2*f**2)*(0*f + 6*f - 4*f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 5*c**3 + 3*c**3)*(4 - 5 + 0) + (4 + 3 - 5)*(-38*c + 38*c + 10*c**3).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*a = -2457, 3*y + a = -0*a + 3696. Suppose -4*h + h = -y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let w = -37.3 - -36.3. Which is the closest to -1? (a) m (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, 3, 39, 89, 153, 231?\n\"Answer: 7*b**2 + b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 2*h**2 - 4*h - 5. Suppose -219 = 5*q - 69. Let c be ((-5)\/2)\/(25\/q). Let z(o) = o**3 + o**2 - 3*o - 4. Determine c*f(b) - 4*z(b).\nAnswer: 2*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -80?\nAnswer: -33\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10266960?\nAnswer: 2, 3, 5, 11, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121) - ((-2*-4*sqrt(121) - sqrt(121)) + sqrt(121)))))\/sqrt(11).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, 40463, -4?\nAnswer: 40463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6298375 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -9.924?\nAnswer: 5.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10797993.\nAnswer: 3, 1199777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10+50.2320738\nAnswer: 60.2320738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)\/((q*q**(-12)*q*q)\/q)*(q\/(q*(q*q*q\/q**(5\/3))\/q*q))\/q**(15\/4) assuming q is positive.\nAnswer: q**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(1\/3)*p)\/p)\/p)**(-26))**6\/((p\/p**(-3\/4))\/(p*p*p**2\/p))**32 assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/453 and -841\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81.26 - -0.76. Let d = q + 80. Put d, 3, 4, -1 in ascending order.\nAnswer: -1, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l + 2*l)*(3 - 1 + 1) in the form d + a*l and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(800))\/(sqrt(484)*1 + sqrt(484)).\nAnswer: -15*sqrt(2)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-231)\/14 + 12 + (-3)\/(-2). Put -276, 1, j in decreasing order.\nAnswer: 1, j, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7383445459 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z**2 + 2*z**2)*(-1018*z + 1017*z + 8*z**2 + 6*z**2).\nAnswer: -14*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 3}. What is prob of sequence evv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 736078073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.033 + 37.033. Let j = 36.99999716 - z. Round j to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67816 = 9*q + 67726 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8 + 1)*40\/(-28))\/2. Let p(k) = 3*k + 6. Let y(s) = -4*s - 7. Suppose 4*l = 2*i - 8, 2*i - 11 + 3 = 2*l. Calculate i*y(u) + o*p(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 19 = 3*z, 0 = 3*x - 6*z + 11*z - 76. What are the prime factors of (2*x)\/(-10*(-8)\/1840)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -9\/4*d**4 + 0*d**2 + 0*d**3 - 35 + 8*d. What is the derivative of c(y) wrt y?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17161 divided by 61.\nAnswer: -17161\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 5*l - 2. Let u(f) = -f**2 + f - 2. Let j(h) = -q(h) - 4*u(h). Determine j(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - (-78)\/24. Let b = -2 + g. What is the units digit of (-2 + b)*9\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4 in increasing order.\nAnswer: -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 + 4 - 41*p + 21*p + 18*p + 208*p**3 - 216*p**3 to the form q + c*p**2 + x*p + l*p**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14221544 (base 7) to base 5\nAnswer: -320130200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10010011001 (base 2) to base 6\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.15 - -0.15. Let g = l + 33.9. Are -8 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17246 - -19143. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3291*f**4 - 2593*f?\nAnswer: 39492*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -8*u + 267. Suppose 5*x = -8*x + u. Solve 2 = x*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9280 and 8906480.\nAnswer: 35625920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - n - 4058, n - 5077 = -6*k + k. Is k a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1, -4*g - g = -4*b - 15. Let x be 4\/b*(3 + -23). Solve x - 1 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjjgjjj. Give prob of sequence jg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 23 = 55*r + 46 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*z + 71, 2*z - 248 = -4*g + 5*z. Calculate the remainder when g is divided by (-228)\/(-8) - (-9)\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 4*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21549984 and 24?\nAnswer: 21549984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 3. Let d be u(0). Let a be 313\/6 + d\/(-18). Suppose -2*f + 53 = -f + 5*m, f = -4*m + a. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - -1 - 2) + -4. Suppose -5*s = -x*s + 57. Suppose h + 6 = -3*f + 1, -s = -h + 3*f. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*c - 0*d - 3*d, -d = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2236, 1895, 1554, 1213?\n\"Answer: -341*v + 2577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534346388 to the nearest integer?\nAnswer: 23116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, 2\/13, 35 in descending order.\nAnswer: 35, 2\/13, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 0.36?\nAnswer: -1.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 276624?\nAnswer: 82987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.313294 centimeters in meters?\nAnswer: 0.05313294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eev when three letters picked without replacement from epeeevp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*t - 354 + 154, 5*b - 2*t - 221 = 0 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1096, -8, -3, 5 in ascending order.\nAnswer: -8, -3, 5, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177 or -754?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-four fifths of a hour?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqw when four letters picked without replacement from quuwuuuqwwwww?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 1, -0.005638523?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2435 - -2579. Calculate the highest common factor of m and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 11:05 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 54, 87, 124, 165, 210, 259?\n\"Answer: 2*h**2 + 23*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -2 + (3 - 6) + 2. Suppose b = -5*w + 146 + 304. Calculate the highest common divisor of w and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98612192 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40, -99, -198, -337?\n\"Answer: -20*t**2 + t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 11. Let g be f(4). Let v = g + 8. Let y(x) = x**2 - 12*x + 13. Let n be y(11). Solve v*h = -4*u + 17, 4*h + n*u - 2 = 7*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/10 + -2)\/(10 - 7). Factor v*t**2 - 2\/5 + 8\/5*t**3 - 8\/5*t.\nAnswer: 2*(t - 1)*(t + 1)*(4*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 92769 + 19977 = 0. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22146d1 (base 14) to base 11.\nAnswer: 9155425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -624*j - 28767. Determine b(-46).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9))\/((-3)\/(-18)). Suppose 0 = -8*r + 12 + 4. Suppose 5*i = z*o + 2, 4*i - 2*o + 8 = r*o. Solve 0 = -3*u - 10 - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 142 = 34. Let a = p + 24. Let c = 4 + a. Solve 0 = -h + c + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -52*y**2 + 17. Let f(k) = -2*k. Determine g(f(q)).\nAnswer: -208*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16049 and -4?\nAnswer: 16045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 18*t - 18*t + (2*t**2 + 2*t**2 - 3*t**2)*(1 - 3 + 0) + (-26 + 26 + 9*t)*(-t - t + 0*t).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlkldllddl. What is prob of picking 1 l and 2 d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 663.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + 0.26. Let k = 2\/85089 - 6504586\/198541. Let v = 100\/3 + k. Which is the third smallest value? (a) 1 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 10\/15. Suppose u = -2*w - 2*w + 40. Calculate the greatest common factor of w and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7617 (base 11) in base 3?\nAnswer: -111210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*g - 526 = 42, 0 = -2*h - g + 568. Let d be (-502)\/(-3 + 2 + 0). Let u = d - h. What are the prime factors of u?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyeeyzezzyzyy. Give prob of sequence ey.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -48*20\/(-18)*(-252)\/(-48). Calculate the greatest common divisor of 350 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:47 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-16)*(1 - 17). Let j(o) = 53*o**2 + 3*o. Let r(v) = v**2 + v. Determine p*r(d) - j(d).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07120211 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 254.15184 microseconds?\nAnswer: 0.000004235864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - m**2 - 2*m. Let u be x(-1). Let j = 2 + -2. Solve j = -3*k + o + 5, -u*o - 9 = 3*k + 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 - -24)\/((-2)\/(-2)). Sort -5, -2\/47, c, -1\/4.\nAnswer: -5, -1\/4, -2\/47, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 7068746*x\/3 - 12491792503129\/3.\nAnswer: -(x + 3534373)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 1 + 3. Suppose -2*l + 7*l = 5*k - 160, -3*l - 62 = -u*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/9)\/a)\/a)**(2\/55))**12 assuming a is positive.\nAnswer: a**(-64\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*c. Let v be -3 + 2 - (354 + 1)*-6. Let g = v + -40441\/19. Is g greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110951 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/3))**(-19)\/(x**(-2\/3))**22*x**(-3\/8)*x**(2\/17)*(x**(-1\/2))**27 assuming x is positive.\nAnswer: x**(-9965\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434546*y**2 + 1146780 wrt y.\nAnswer: -869092*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94877.41 decades?\nAnswer: 948774.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3524801 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/(2\/10). Let b(c) = -388 - 2*c + 0*c + 772 - 389 + 5*c. What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3447, 12617, 27539, 48213?\n\"Answer: 2876*s**2 + 542*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 75817*l - 50 + 37265*l.\nAnswer: 113082*l - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4)\/5 - ((-22563)\/(-45))\/(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = k. Let h(d) = d + 10 + d**2 - 3 - k. Suppose -4*n = 5*y + 15, 2*n - 2*y - 3 = 3. What is h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + n - 1. Let w(j) = 26*j**2 + 3*j - 3. Determine 3*s(k) - w(k).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.5 - -17.5. Are s and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 6. Let j = b - -12. Put -0.5, 0.2, j in decreasing order.\nAnswer: j, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -23. Let h(d) = -d**2 - 7*d + 2. Let k be h(n). Suppose k*j = -3*a + 18, -10 = -5*j + 3*j - a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = -2*b, -b + 2*s = -2*s + 13. Suppose 2*r + 5 = -3*r. Let u be (0 + -2)*r*10. Solve -3*o + 22 = -7*m + 3*m, 4*o = b*m + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45963 to the nearest one hundred.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 344472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 3 + 591)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5*v + 8. Let r(x) = x**2 - 4*x - 9. Let b = -116 + 111. Let k(n) = b*r(n) - 4*u(n). Let q(i) = i. What is k(q(t))?\nAnswer: -t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16635 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*i**3*y**3 - i**3*y**2 - 2*i**2*y - 6*i*y**3 + 16*i*y**2 + 3*y wrt i?\nAnswer: 228*i*y**3 - 6*i*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18403)\/717*(-6)\/(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*u - 518*u + 4*s = 76, 0 = 2*s - 12. Solve 5*o - 29 = 9*r - u*r, 2*r - 22 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 40*p**2 + 92*p - 281. What is v(18)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1010 - 1010.00898. Let r = -6 - -6.008. Let g = r + b. What is g rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/5088 and -47\/9712?\nAnswer: 3088416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/((-26)\/(-4))*(-9)\/6. Put g, -1, 28, -5 in ascending order.\nAnswer: -5, -1, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p. Let h(y) = 69677627*y**2. Give w(h(l)).\nAnswer: -418065762*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**1*y))\/y)**7\/(y\/(y\/(y\/(y*y**(-1\/4))))*y*y)**(-24))\/((y**(2\/5))**(-5\/7)\/(y\/(y**(1\/3)*y*y))**(-2\/137)) assuming y is positive.\nAnswer: y**(136097\/2877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 0.4, 3\/16, 10 in increasing order.\nAnswer: -8, 3\/16, 0.4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -230, -828, -1824, -3218, -5010, -7200, -9788?\n\"Answer: -199*a**2 - a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let l be (1 + -2)\/(1\/z). Let f = 161288.5 + -161288. Which is the nearest to f? (a) l (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2269 + 13619\/6. Let w = 0 - 0. Let t = 0.3 + w. Which is the biggest value? (a) t (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143.8*648.\nAnswer: 93182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 174*a + 6384. Let t be z(52). What is the nearest to t in 1, -2\/5, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145503876 by -112532.\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011065531 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 7) to base 4.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244363.\nAnswer: 7, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -226 + 210 + 1 + (0 - 0) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265803697*n**3 - 34458597*n + 6.\nAnswer: -1594822182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose -z*k - 3*l - l - 10 = 0, -5*k - 2*l - 12 = 0. Let h(q) = q - 3. Let m(u) = 2*u - 6. What is k*m(o) + 5*h(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/545370 and -13\/5145.\nAnswer: 545370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*d**3 - 23020520*b*d**2 + 51865851*b with respect to d.\nAnswer: 3*b*d**2 - 46041040*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19085535*w**4 - 15*w**2 + 207152*w wrt w.\nAnswer: 458052840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert eccf7 (base 16) to base 4.\nAnswer: 3230303313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 0. Let m = -12 - -15. Suppose -5*g + 108 = -m*g. Solve 4*p - 22 = 4*a - g, -a = 3*p + w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -960 + 965. Let j = 4 + 1. Suppose g - 923 = -p + 645, 0 = j*g - h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = v + z, 22 = -v + 5*z. Suppose h - 17 = -3*w, -v*h - 15 + 1 = -4*w. Let j(o) = -o**2 + 7*o - 7. Determine j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4626, 4635, 4644, 4653, 4662, 4671?\n\"Answer: 9*m + 4617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 31. List the prime factors of r(4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 18?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.058879498\nAnswer: 0.117758996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - k + 141, 2*s + 5*k + 18 = 155. Let m = 159 - s. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1584) - (sqrt(1584) + sqrt(1584) + 1 + 1) - sqrt(1584) - -2*sqrt(1584)*1) + -5 + 2 + sqrt(1584) + 2)**2.\nAnswer: -6372 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159\/34 + 4127\/748. Find the common denominator of ((-11907)\/28)\/27 - 2\/(-2) and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*d**2 - 4*d**2 + 5*d**2)*(8*d + 17*d - 3*d) + 3*d**3 - d**3 - 4*d**3)*(4 - 5 + 14)*(-d**2 + 2*d**2 - 2*d**2).\nAnswer: 1170*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33324 - 0?\nAnswer: -33324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Let y = -15.61 - -2.61. Does y = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w**2 - w + 15. Let z(p) = 32*p**2 + 2*p - 29. Calculate 9*l(t) + 4*z(t).\nAnswer: -7*t**2 - t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.23648 - -8.211. Round l to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 677 = 4*f. Suppose -f + 33 = -2*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjrjr. Give prob of sequence rrrj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k + 5*q + 867 = -103*k, -3*k = -5*q - 2561. Calculate the remainder when 3403 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, w: 3, a: 4, b: 8, h: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -177 (c) 5199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o. Let v(t) = -2835870*t. Give v(j(h)).\nAnswer: -11343480*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 6) to base 10\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507956.9833 rounded to the nearest 1000?\nAnswer: 508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020167113 rounded to 4 decimal places?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243040 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 4*g**2 - 4*g + 4. Let t(q) = -q**3 - q**2 + q - 1. Suppose -3*l - 16 = l. Calculate l*t(b) - y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11)**(-3\/43))**(-32) assuming z is positive.\nAnswer: z**(1056\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:00 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 + 512. Let w = x - 255.1. What is the smallest value in w, 4, 3, 0.49?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) 0.1 (c) -171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9056 and 67\/64.\nAnswer: 18112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014279 to 5 dps.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/4)\/(2\/55). Let m = 101 - h. Suppose 3*w = -v - 10, -5*v + 184*w - 180*w + 26 = 0. Calculate the highest common factor of m and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 0*i + 4 + 3*i + 0*i. Suppose 84*w + 56*w - 420 = 0. What is o(w)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 173\/130 (b) 2\/9 (c) 1835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 - 9. Let g be y(3). Suppose 0 = 4*m - g*m - 48. Suppose 7*a - 9 = m. Solve a*n + 3*s + 9 = 0, -2*n + 5*s = -11 - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 30, 72, 144, 252, 402, 600?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 31 + 79. Is -2 - (-182 - 5*(-4)\/d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (7 + -4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152036 and 329284.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let j(o) = 73*o - 87 + 73 + 46. Let u be j(21). Let r(n) = 32*n**2 + 1565*n - u*n. Give r(l(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1741 + 1.89.\nAnswer: -1739.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i + 69*i + 587 = -367 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765 - 965*w - 369 - 396.\nAnswer: -965*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254 is divided by 2116?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14507\/9 - 1612. Which is the smallest value? (a) 5 (b) i (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**3\/2 - y. Let u(v) = -50 - 42 - 16*v + 92. Give u(s(m)).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + 21*y + 8. Let l be a(11). Let z = l - -824. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:50 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 5, -3\/5, -63?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcctqcgguuc. What is prob of sequence gcgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*z**2 + 10*z**2 + 4*z**2 + z)*(-1 + 1 - 2) as d + r*z + x*z**2 and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*f + 1424 = -744, -2*p - f + 2177 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from mgmmmmimgccmmf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774122*d*k**3*n*y - 4*d*k**2*n*y**2 - 2*d*k**2*y - 7105*d*k*n - 4*d*n*y**2 + 2*d - 14*k**3*n*y**2 + n*y**2 wrt k.\nAnswer: -4644732*d*n*y - 84*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15688145 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 10*p**2 + 13*p - 106. Calculate the remainder when t(7) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3 (b) 2\/17 (c) -2\/15 (d) 3 (e) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2470737820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190190603, -190190601, -190190599, -190190597, -190190595, -190190593?\nAnswer: -190190591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.1, -3, -8, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1017 + 1100. Calculate the remainder when 827 is divided by y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g**2 + 3*g - 3. Suppose -3*u = 2*k - 18, k + 3*u - 7*u = -13. List the prime factors of j(k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(36)*-4)\/((sqrt(12) + sqrt(432) + sqrt(12))*1).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -106 (b) -1 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - -1 - 196\/(-1). What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*2\/(-360)*-10*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65725862 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76879 and 44?\nAnswer: 307516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1722715 nanograms?\nAnswer: 0.0000000000001722715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -115) + 42 + -35 + 15 + (-1 - 3)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -154. Let d = 107 - j. Let q(l) = -8*l - 4. Calculate the least common multiple of d and q(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52611841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1250424 and 1890?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 17*d**8\/56 + d**4\/4 - 5*d**3\/6 + 27*d - 2. What is the third derivative of l(j) wrt j?\nAnswer: 2040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*b + 155, 0 = -5*p - 4*b + 74 + 81. What is the remainder when p is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 51 = -9*a. Let g be 5 + (-12)\/(-8)*-2. Suppose 0*j = 2*j - g. Solve -a*n - j = 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 1. Let x be o(1). Let v = -125 - -122. Sort x, -2, v, 0.1 in decreasing order.\nAnswer: 0.1, x, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1050 - -54?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83114996 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/9 + 1*29. What is the greatest common factor of w and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 38066*o - 3.\nAnswer: -38066*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 292729069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 197, 0?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 0 - sqrt(2736) - sqrt(2736) - sqrt(2736))*-6)**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, 3, 1, -12, -62, 5.\nAnswer: -62, -40, -12, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -56204064 divided by 27\nAnswer: -2081632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.05, -340, 23, -2, 2\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -559*a - 2134 - 1220 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3250, 4892, 6534, 8176, 9818, 11460?\nAnswer: 13102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 - v**3 + 4*v**2 - 3*v**2 - 2. Let c(z) = 8*z**3 - 6*z**2 - 7. Let l be (-4)\/(-6) - (-88)\/(-6). Give l*u(o) - 2*c(o).\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6195?\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61085 + 59559.55. Round b to the nearest 10.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 5. Let u = 142.9 - 143. Which is the closest to u? (a) -0.2 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113311 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -38. Let l(y) = -y**3 - 9*y**2 + 12*y + 13. Let t be l(-10). Let v = k + t. Solve 5*b + 2*w + 21 = 0, 2*b + v + 6 = 2*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 6. Let m be -38 + (-2 - 0) + -2. Let x be -5 + (-480)\/m + (-3)\/7. Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 9 (b) -1\/3 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 299*m*u**2 - 418*m - u**2 + 1 wrt u?\nAnswer: 598*m*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 655404 and 60.\nAnswer: 3277020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((9\/3)\/((-15)\/(-5)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -114535.5384 times -2?\nAnswer: 229071.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-552)\/(-18) + 8\/24. Suppose a*b = 26*b + 20. Solve -29 = b*x - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 225 = -5*q - 0*t, -t = -4*q + 171. Suppose 8*f = 5*f + q. What is the remainder when 82 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.66153 meters in centimeters?\nAnswer: 2966.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 + -255. Suppose 4*y = 9 + 3. What is the second derivative of -y*v**3 + 1 - l*v - 2*v - 1 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131203 (base 4) to base 6\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67331 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1464\/(-1647))\/(4\/(-126)). Solve -y = 3*t - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 6*r. Suppose r = 2*c + 11 + 1. Let d be (-26)\/c - (-1)\/(-3). Solve d*n - 7*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*l + 2*l + 56 - 443 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 672?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2\/2005 (c) 3 (d) -12201\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-221) - 45\/(-78))*-52.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10343095435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -67*h - 5090. Let x be b(-76). Put 4, 478, x, 0 in decreasing order.\nAnswer: 478, 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + n**2 - n**2)*(-3 + 0 - 2)*(-43 - 537*n + 28 + 15).\nAnswer: -2685*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (19 - 0) - 22) + (-1 - 8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 3836 + 1915 + 1921.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**36 assuming f is positive.\nAnswer: f**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let i(d) = -25*d. Let s(v) = 5*v. Let q(h) = 2*i(h) + 11*s(h). What is q(j(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 6*p**3 - 3*p**3)*(-3*p**2 + 2*p**2 + 0*p**2) + 8*p**5 + p**5 - 2*p**5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 63.1\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -11*d + 672. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -165. Suppose 9*k = 6*k + 9. Suppose 4*p - 52 = -4*t + n, 0 = -k*p - 4*t + 91. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemeececeemeeee. What is prob of picking 1 e and 1 c?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhvhhhmmmhhwhmwmmmhm. Give prob of sequence hm.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -425, -384, -317, -218, -81, 100, 331?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 - 8*l. Let d(u) = -12*u**2 - 20*u. Let n(s) = 2*d(s) - 5*g(s). Let p(q) = 2 + 0 - 2 - 45*q. Give n(p(i)).\nAnswer: 2025*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86684 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2772, 5718, 9132, 13266, 18372, 24702, 32508, 42042?\nAnswer: 53556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/9 - 976*t**2\/9 + 124712*t\/9 - 453152\/3 = 0. What is t?\nAnswer: 12, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 3. Let b(t) = 2*t + 5. Let u(n) = -3*b(n) - 5*c(n). Let m(p) = -3*p**2. What is m(u(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*r - 300 = 390, -5*f + 1758 = -4*r. Let h = f + -296. What is the remainder when 320 is divided by h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 1. Let d be h(-1). Suppose y + 12 = -d*y. Sort y, -5, 3.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.034 and -0.16923406?\nAnswer: 0.13523406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50899, -100553, -147725, -191173, -229655, -261929, -286753, -302885?\n\"Answer: 207*w**3 - w**2 - 51100*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 95\/7 (b) 5 (c) -3\/39593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37741 and 8695.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/5*q**2 - 27\/5*q - 6\/5 + 3*q**3 = 0. Calculate q.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95\/214 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let u(r) = -14*r + 20*r - 4*r**2 + 3*r**2 + 4*r**2. Let m be u(-5). Solve -n*o - 4 = h - 1, 5*o + m = 5*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-120))\/(3\/15). Solve 14 = k*r - 2*t, 0*t - 2*t - 8 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 58 + 39 = b, 5*b = 3*x - 5. Let r(f) = -f + 5. Let l(m) be the second derivative of m**3\/3 - 3*m**2 + 20*m. What is b*r(p) - 3*l(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477652089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1090 and 245815?\nAnswer: 53587670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*j + 20, j + 2*y = 6*y + 4. Let o be (1\/(-2))\/(2\/(-16)). Factor -u**4 - 5*u**o + 2*u**j - 4*u**5.\nAnswer: -4*u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*p + 23, 4*m = 8*m - 2*p + 2. What is the units digit of ((-574)\/(-28))\/(1\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160805.\nAnswer: 5, 29, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6381607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 13*t**2 + 37*t - 33. Suppose 5*y + 0*c + 75 = 5*c, -c = -3*y - 49. What is the units digit of a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:47 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 3. Suppose 4*b + 4*w + 1 = 33, 1 = 2*b - w. Let v be p(b). What is the units digit of 330\/v - (-1)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0.5, -0.2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - -0.14. Let q = 1\/18 - -4\/9. Which is the nearest to q? (a) 4 (b) g (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*c = -851, -2*l + 4*l - 3*c - 561 = 0. Let v = l + -192. Let g be (-106)\/(-3) + 2\/3. What is the highest common factor of v and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:07 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44042726?\nAnswer: 2, 7, 13, 241993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 16, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22195670 and 2289?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from vvwffvwwfffwfvff?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a*(a**4\/a)\/a*a)*a*a**(2\/33)*a**(-4\/9)\/(a\/a**(-17)) assuming a is positive.\nAnswer: a**(-2117\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(12\/3)*-10. Let l be (-12*2)\/(-4) - 4. Find the second derivative of 10*k**p - 2*k**2 + 0*k**5 + l*k**2 - 3*k wrt k.\nAnswer: 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(6765\/(-1935)) + 9\/(-33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 168?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 4, -2, -1 in descending order.\nAnswer: 4, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2*((-48)\/6)\/64*12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-81)\/(-6))\/((-426)\/428 - -1). Suppose 5*o = t - 634. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/3805151172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 120 = -290. Solve 19*h = d*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v + 36. Let b = v + 25. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/7 - 758304*n**4\/7 + 216660*n**3 - 6*n**2\/7 - 1516617*n\/7 + 108330 = 0 for n.\nAnswer: -252770, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2874 + -2824. What is the greatest common factor of 2525 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 + -148. Let k = 220.109 - m. Round k to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 600 or -0.9?\nAnswer: 600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/13)*x)**(-29\/4) assuming x is positive.\nAnswer: x**(-203\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 4*z + 3. Let g be i(4). Find the second derivative of 3*b**3 - 4*b + b - b**g wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123091857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 (base 11) in base 12?\nAnswer: -23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -26. Let b be (2\/n)\/((-8)\/40). Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 plus 0.03?\nAnswer: 122.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20254.464 seconds in minutes?\nAnswer: 337.5744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28470474 divided by 499482.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4902?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329226276 divided by 54871046.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -107a6 (base 14) in base 5?\nAnswer: -2234214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/10 + g**5\/4 - 5*g**2. Find the third derivative of f(l) wrt l.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 19. Let i(u) = -114*u - 2. Is i(b) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/25 in -4, 2, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -5.8204033?\nAnswer: -0.116408066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1926*w**2 - 99*w. Let g(q) = -77*q**2 + 4*q. What is 99*g(a) + 4*u(a)?\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9473*h + 9448*h - 18962*h.\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22011 + -11232?\nAnswer: -33303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*b + 3*b**2 - 2*b**2 + 10*b)*(48 + 40 - 24) + 4 + b**2 - 4.\nAnswer: 65*b**2 - 640*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/15)\/1*5. Let q = p + -4. What is the nearest to 0 in -3, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-10)*(-7)\/(147\/(-30)). Suppose 0 = -n - 3*t + 1812, 4*n - c*t + t - 7200 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -840 bigger than -836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8255, 33004, 74245, 131972, 206179, 296860?\n\"Answer: -r**3 + 8252*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 - 428. Let u = r - -182.07. What is u rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-5)\/(-2)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7))**48\/((c\/(c*c*c**(-25)))\/c*c\/c**(-29)))**(-3\/11) assuming c is positive.\nAnswer: c**(1401\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 + 11*c - 21. Determine s(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 6. Let h be j(6). Suppose h = 2*w - 22 - 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -214082254, -214082255, -214082256, -214082257, -214082258?\n\"Answer: -i - 214082253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5869541 by -5869541.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3205084, -3205083, -3205082?\nAnswer: -3205081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 48 = 4*u. Let d = 5 - 5. Let g = u - d. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 158.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = 3. Suppose 0 = -d - d - y*n + 1, 0 = 2*d - 2*n - 6. Calculate the remainder when ((-39)\/9)\/(d\/(-6)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 418*o**2\/7 - 1941*o\/7 - 2628\/7.\nAnswer: -(o + 3)**2*(21*o + 292)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 233*f**3 + 1588*f**2 + 1356*f = 0. Calculate f.\nAnswer: -226, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 7*n + 45, 53 = 2*j + 5*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7272 + -7336. Which is smaller: -49 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-322)\/(-28)*(3 + (-1)\/(-1)) and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppu when four letters picked without replacement from {n: 2, u: 4, k: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29521*a*q - 3075*a + 79*q - 275 wrt q?\nAnswer: -29521*a + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365610 divided by 5.\nAnswer: 73122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 832 = -y - 446, 0 = 5*f + 2*y - 2141. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 6 (b) 5 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16013 + 16004 - 32017 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1190.3 - -1085. Let d = 115 + c. Round d to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588591100 take away 5?\nAnswer: 1588591095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, 1, 9, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {l: 1, c: 4, b: 3, h: 1, i: 4, y: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, i: 9, g: 3}. Give prob of picking 1 g, 1 e, and 2 i.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 1055. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 2, 45, 140, 305, 558?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 501*i**3 + 4*i**2 + i - 2. What is s(1)?\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from rxfqfxqrrrfxrfrpx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -68*s**2. Let i(o) = 12*o**2 + 2*o + 1. Let t(z) = 268*z**2 + 44*z + 22. Let g(h) = 44*i(h) - 2*t(h). What is p(g(j))?\nAnswer: -4352*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125060 <= 125060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9175635059588+-34\nAnswer: -9175635059622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - s - 2422, -4*s + 2412 = 5*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - -2*(-2 - -1). Let h = 10 + l. Calculate the greatest common factor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 814924271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 21 = -q, 5 = -12*q + 13*q. Let h(d) = -2*d + d**2 + 22 - 43*d + 2*d**2. Let v be h(w). What is the greatest common factor of v and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6851 - 0.6850999168. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 4 = -6*b. Let l be (-8)\/(-16) + (-34)\/(-4). What is the highest common divisor of b and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20*d - 25*d = -5, 5*x - 45 = -5*d. Suppose x*f = -o + 43, -9*f + 12*f + 36 = o. What is the greatest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-44)\/12*1)*-3. Let i(l) = -l**3 - 12*l**2 - 12*l - 9. Let x be i(p). Solve x*q + 3*g = 2, g + 5 = -0*q + 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8796, 35109, 78958, 140337, 219240, 315661, 429594, 561033?\n\"Answer: -v**3 + 8774*v**2 - 2*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 14*p - 4. Determine w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w + 2*x = 35*w - 16256, -3*w - 3*x = -12165. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/24 and 49\/35121?\nAnswer: 280968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 443*g + 440*g + 11 = 0, -2*g + 12 = 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-84)*-14*56\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = -5*o - 10, 4*m = -12. Suppose 2*j + 2*l + 24 = 0, 4*j + 2*l + 47 = 9. Is ((-3)\/3)\/(o\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/53)\/k)\/k)\/(k*k\/k**(-13\/4))*(k*k**21)**(-14) assuming k is positive.\nAnswer: k**(-66613\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378996.\nAnswer: 2, 3, 31583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide (152\/16 + -1)\/((-6)\/(-1428))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -9. Let p(j) = 2*j**2 + j. What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(78\/(-2292)*-59 - 2). Suppose -4*b + 311 = -5*j + 4*j, -j + a = 5*b. Sort 0, -1, b.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*((-2)\/(-6))\/(-1). Let c(n) = n + 5. Let y be c(-11). Let p(z) = -z + 1. Let k(t) = 3*t - 4. Let a(l) = y*k(l) - 17*p(l). What is a(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38586 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.5 + -39. Which is the biggest value? (a) -0.1 (b) -2\/11 (c) 0.01 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = m - 4*m. Let p be (-72)\/m*(-30)\/1. Let a = 116 + p. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40177, 1, 2, -1 in descending order.\nAnswer: 2, 1, -1, -40177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*q*r**2 + 2*a*q*r + 4098*a*r + q*r + 7*r**2 + 1122 wrt a.\nAnswer: -2*q*r**2 + 2*q*r + 4098*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -396.6 * 24204.\nAnswer: -9599306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -68. Suppose -4*v = -l + 10, 7*l - 4*l - 14 = 4*v. Solve 3*r - x = -3*x - l, 2 = 2*r + b*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.642 to two dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-7) + -7 + 8. Let f = -96\/7 + 14. What is the closest to y in 4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*(sqrt(36)\/(sqrt(10)\/sqrt(5)) - sqrt(2592)*-3))*4)**2*6.\nAnswer: 106560*sqrt(2) + 2368032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 7*b - 36. What is o(8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4236321 by -4.\nAnswer: 4236321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 16*r + 10. Sort -5, 1, -0.5, r.\nAnswer: -5, -0.5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/2*(-384)\/4224.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-119))\/(918\/(-6426))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-22 - -21) - 21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -199?\nAnswer: -19\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 145*v. Let u(g) = 6*g**2. Determine h(u(b)).\nAnswer: -36*b**4 + 870*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 551917180 a multiple of 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -46600\nAnswer: -46594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30736 and 12138.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 9 = 0. Let z = l - -6. Suppose 10*n - 8*n - 20 = 0. Solve i - k = -2, -i - 4*k = -z + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-3 - (-1 - (8 + -1)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -0.13, 10, 136?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -1.08 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -197\/4, 2339, -18\/17?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11851\/3256 + -1\/296. Suppose 22 = 2*l + 4*b, -b - b + 8 = 0. Calculate the common denominator of z and (-39)\/(-15) - 0\/l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) + (-1836)\/(-540). Solve 19 = -5*f + 2*k, -n*k = -4*f - 10 - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434645000 rounded to the nearest 1000000?\nAnswer: 435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2318 and 3515.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 6*r**3 + 8*r**3 + 4*r**2.\nAnswer: 2*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26796275 divided by 5359255?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33319628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 8, x: 3, g: 1, m: 2, p: 1}. Give prob of picking 2 d and 1 g.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + -21 + 5 + 30 - -11?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - 9*p - 5. Let h be s(-3). Solve -d = -3*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 623 by 89.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4129622828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3296 + 3355. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5966 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4112, -8133, -12152, -16169, -20184, -24197?\n\"Answer: n**2 - 4024*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156.84 - 154.84. Let c = -3.5 - -3. Put c, 1, 1\/9, a in descending order.\nAnswer: a, 1, 1\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Suppose 2*x = -c*x + 104. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2083 by 1580.\nAnswer: -2083\/1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let h(l) be the first derivative of 2 + 0*l + 1\/12*l**4 + 0*l**3 + l**2. Let b(x) be the second derivative of h(x). Calculate g(b(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-177)\/(-8260))\/((-3)\/4))\/(16\/(-28)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 5, o: 3}. What is prob of sequence dx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-97)\/(-6) - (-3)\/(-18). Suppose 3*g + 5*g = l. Solve 3*r = g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1548, -10, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37559, -37311, -37057, -36797, -36531?\n\"Answer: 3*p**2 + 239*p - 37801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 167*x**2 - 81*x + 431. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 18750*q**3 + q**2 + 3*q - 4. Let z be y(-4). Round z to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62 + 2*(-3)\/6. Suppose 5*v - 6 = -i. Let p = 130 + v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5370.1 + -5370. Let v = -0.15 - -0.05. Put v, n, -2\/503 in decreasing order.\nAnswer: n, -2\/503, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 3. Let k be n(-6). Let d be 5\/k - (-14)\/6. Factor 0 + 0*z**3 + 4\/5*z**4 - 4\/5*z**d + 2\/5*z**5 - 2\/5*z.\nAnswer: 2*z*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + 3*g**5 + 2*g**5 + (-5*g + g + 2*g)*(-2*g**4 - 2*g**3 + 2*g**3) - 19*g**3 + 20*g**3 - 4*g**5 + 3*g**5 + 33*g**2.\nAnswer: 5*g**5 + g**3 + 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -1\/5, 23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*t - 31, 3*t - 30 + 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 13. What is k(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v - v**2 - 17*v + (-2*v + 5 - 5)*(v + 3 - 3) + (0*v - 3*v + 5*v)*((5 + 2*v - 5)*(1 + 5 + 0) - 5*v - 2*v + 2*v).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:51 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/13, 2372, 0.09, 4, -3\/5, -2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 60. Let g = -37 + 67. Calculate the greatest common divisor of g and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2*-1)\/(-1). Let d = 1\/3 - j. Which is the closest to 0? (a) 0.5 (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753720 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -265*p + 269*p - 796, 2*q + 3*p = 530. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-6)*g))\/g*g)\/(g\/((g*g**(1\/6))\/g))*(g\/(g\/g**(-4)))\/(g\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -705.108 to 0 dps.\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1268548885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.012496 - -0.0324484. Let s = z - -0.1802266. Let d = -0.2 + s. What is d rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1052*t**3 + 2*t**2 + 5*t + 3. Let r be v(-1). Does 6 divide (-18)\/63 + (r\/(-7))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98 + 2 + (-20)\/5. What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.253181 to three decimal places.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -2\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6669*w + 1710. Let h be m(-2). What is the greatest common divisor of 72 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 173*v**2 + 1289*v + 6. What is a(-8)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:20 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*q + 64, 0 = -q - 2 + 4. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102793 + 411157\/4. Suppose 0 = 5*z + 15, -6*f + f + 2*z - 9 = 0. What is the third smallest value in j, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 + 8*u - 14. Let s be w(4). Let z(g) = -2 + 0 - 2*g - s - 2. What is z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 10. Let p = 19.00000057 - z. Round p to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37903, -75808, -113713, -151618, -189523, -227428?\nAnswer: -265333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-12)*x**(-4\/9)*x**(10\/7)\/(x\/(x\/(x**1\/x))) assuming x is positive.\nAnswer: x**(881\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -3.7 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 21*k = 195. Suppose 2*d - 4*u - 10 = -2*u, -5*d - 3*u = -33. Suppose -d*g + 10 = -g. Solve z = -g*z + k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123\/(-296)*(-28220)\/510 + -23\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5607 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from {a: 4, o: 3, l: 11}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267234 and 2016.\nAnswer: 89790624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/255)\/(179\/(-357642)*111))\/((-6)\/20).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/10199, -11, 4, 0.3 in ascending order.\nAnswer: -11, 2\/10199, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:45 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-5)\/(10\/(-4))). Suppose w*s + 10 = 7*s, -k = -2*s - 1. What is the second derivative of f**3 + f**3 - 2*f + k*f + 3*f wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 27. Let y = x + -59. Let z = y + 36.9993. Round z to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 17*l - 52. Let g be r(-5). Let f be -6 + 6 + (-36)\/6 + g. Find i such that -5\/3 - 1\/3*i**f + 2*i = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37795080 and 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -2 (b) -234 (c) -0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-35)*(26 + (-17408)\/480).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13*d**3 + 58289*d**2 - 1 - 58289*d**2.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/17664250 and 129\/350.\nAnswer: 123649750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 + 18*h**2 + 22*h - 125. Determine i(-9).\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + h = -2 - 1, -30 = -5*l - 2*h. Suppose n = 5*s - 105, 4*s = -l*n + 94 - 10. Calculate the highest common factor of s and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.986 - 0.014. Let y = j - -23. Which is the nearest to -0.1? (a) -2\/7 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18746\/87 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.520443 microseconds in minutes?\nAnswer: 0.00000010867405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 18 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuwuwwvvwwv. Give prob of picking 1 w and 1 v.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 6*g + 6*g**2 + 2*g**2 + 3 - 13*g**2. Let u = 6 + 6. Suppose -u = c + c. Determine x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 89. Suppose 57 - v = y. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928661.\nAnswer: 3, 7, 91841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392.7950023 + -392.775. Let r = h + -0.02. Round r to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3739 divided by 22373?\nAnswer: -3739\/22373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - x = 6341, h - x - 5073 = -1900. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*l - 409 + 409 + 3*l + 2*l + 4*l + (-l + l + 2*l)*(-1 - 5 + 2) - l + 0*l + 3*l.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.17582824 to one dp.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 4:27 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605)*2*6 + (sqrt(605) - (-2 + -2 + sqrt(605) + sqrt(605))))**2.\nAnswer: 1056*sqrt(5) + 87136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:24 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 107796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(170\/(-25))*42\/5. Put -2, 3, -1, 2, x in descending order.\nAnswer: 3, 2, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63076 is divided by 4466.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - -2)\/2. Suppose p*f = -19 + 1. What is the remainder when 27 is divided by 28\/3*(-9)\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-8) - 28*(-50)\/320. Let z(m) be the third derivative of 0 + 0*m**3 + 0*m**d - 1\/60*m**5 - 2*m**2 + 0*m. Let p(a) = -2*a. Calculate z(p(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44)*2 + sqrt(121)\/(2*sqrt(11))))**2*-5 - ((3*sqrt(11) + -2 - sqrt(132)\/(3*sqrt(12))) + 5).\nAnswer: -17823 - 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) 19 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209 - 200. Let f be (1 - -3 - (9 - c)) + 248. What is the greatest common factor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, j: 1, h: 1, w: 3, k: 3}. What is prob of picking 1 h and 2 z?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 68. Suppose -n + 5*n - h = 0. Solve -3*g + 10 = 5*b, -3*b + n = -0*b + 5*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*6*(3\/9 - 13\/57)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036581 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from icicctciid.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 1 - (6 + -4 + 3)) + -32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 9*r - 12. Let u be (r - 24)*54\/63. Let q(m) = m**2 + 18*m + 9. Calculate the remainder when 43 is divided by q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196522596041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5 (b) -1 (c) -2.12 (d) 5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/5 (b) -1 (c) -38 (d) -0.5 (e) 10 (f) 0.1021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2865 = -3*x. Let h = x + -4617\/8. Calculate the common denominator of h and -16\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2740, -2707, -2674, -2641, -2608, -2575?\n\"Answer: 33*j - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 15965 = 12*u - j, -5*u + 26611 = j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 193 = 4*d - 3, 0 = -3*d - 4*v + 152. Let m be 12\/81*d\/(-32). Let n = 0.1 - 0. What is the closest to -0.2 in -0.4, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*c - 484, -5*c - 4*z + 600 = z. Calculate the remainder when c is divided by -10*((-48)\/36)\/((-24)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14443.719 - -14436. Let r = 0.081 - j. Round r to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 57, 121, 221, 363, 553, 797?\n\"Answer: b**3 + 9*b**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 18. Let t be s(5). Solve 0 = 4*g - t*j + 6*j - 20, -15 = 3*g - 3*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (560*h + 542*h - 13*h)*(0*h - 3*h + h)*(-2*h + h - h).\nAnswer: 4356*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288918019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 72841.16 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -43*w**3 + 2*w**2 - 1. Is m(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -16) + (0 + -9 - 3 - (12 - 21))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325) + sqrt(325) + 0 + -3 + 0 + 2*(-4*((sqrt(325) - 1*sqrt(325)) + sqrt(325) + sqrt(325)))**2.\nAnswer: 10*sqrt(13) + 41594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -46. What is the remainder when 129 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/1594490 or 1?\nAnswer: -19\/1594490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282343, 282616, 283067, 283696, 284503, 285488?\nAnswer: 286651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6940 is divided by 524.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 17\/9, -175\/13?\nAnswer: -175\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26892 or 779891\/29?\nAnswer: 779891\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3 + 1772890*f**2 + f - 864362 wrt f?\nAnswer: 12*f + 3545780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -37\/35, 4, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:45 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*o**4 - 2 + 46*o**2 + 12*o**3 + o**4 - 13*o**3 - 39*o**2 - 2*o to g*o + i*o**4 + f*o**2 + r*o**3 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r + r)*(1 - r + 4 - 4).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1127 = -2*q - 1047. Sort 3, -2, q in ascending order.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 41*n - 9. Let p(b) = 14*b - 3. Let z(k) = -6*g(k) + 17*p(k). Let o be z(2). Let a = o - -30. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -397*z - 6616 - 7279 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from llccclllllcllllllcl?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 + 133. Suppose 2*u + 560 = i*l, -889 = -4*l - 4*u - 169. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1886035 months to decades.\nAnswer: 0.0182383625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0 + 1 - 35*y + 30*y. What is z(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -0.3, -0.25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/20)\/(97\/(-970)). Let u = 12 + -7. Sort -19, 4, t, u in decreasing order.\nAnswer: u, 4, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m - 50. Let o be f(8). Suppose o*s - 7*s + 33 = 0. Suppose -4*z + 5*a + 28 = -2, z + 5 = -5*a. What is the remainder when s is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 4851.\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from bsuuqqucsu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from msuuuus.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101013*g - 3*g**2 + 101013*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.5. Let i = 4.5 - -0.5. Let u = -16 - -19. Which is the closest to o? (a) u (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*v = -4*v + 14, -16 = -2*w + 4*v. Let h(b) = 5*b**3 - 10*b + 42 - w*b**3 + 10*b**2 - 2*b**3 - 31. What is h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17791751 to the nearest integer?\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**2*j**3 - 7*f**2*j**2 - 1901*f**2*j + 2*f**2 - 8*f*j**3 - 95*j**3 - 1 wrt j.\nAnswer: 30*f**2 - 48*f - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1936*v = 1933*v - 18, -2*c + 5*v + 8 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 380542 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(147) + 0.\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 6*x - 15*x + 6*x**2 + 2*x.\nAnswer: 6*x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/(-195)*5)\/((-2)\/(395 + 1)). What is the greatest common divisor of 2145 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:42 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsps when four letters picked without replacement from pwszgwsaaaspas.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*m**3 + 517*m**3 - 115 + 130 - 259*m**3.\nAnswer: -4*m**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8811, -8426, -7793, -6918, -5807, -4466, -2901?\n\"Answer: -u**3 + 130*u**2 + 2*u - 8942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35972 and 25668?\nAnswer: 10036188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 7575544*w + 15151096.\nAnswer: -2*(w - 3787774)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 + 1387.\nAnswer: 1386.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -8 - -26 - -5 - (-100 - -1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67188 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(3*h - 5*h + 4*h) - 3*h + 4*h + 0*h + (5 - 1 - 3)*(3 + 3*h - 3) + (2 - 8 - 1)*(11*h - 20*h - 39*h) to the form c + z*h and give z.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -8*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbc when three letters picked without replacement from {c: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 8*h - 1. Suppose o + 14 = 3*o. Let p(d) = -2*d**2 + 4*d + 1. Let l(w) = o*p(w) + 3*j(w). Solve l(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 50. Let s = 39 - j. Let d = s - -138. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3 - h**2 - 362173*h - 31980660?\nAnswer: 3*h**2 - 2*h - 362173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 2. Let l(x) = -3*x + 30. Let p be l(8). What is the greatest common divisor of w and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 62. Let q be 15\/(-25) + (-3)\/(-5). Let n be f(q). Is n\/3*54\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30657564 divided by 25612\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 3716.\nAnswer: -7\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksgslkqee. What is prob of picking 1 l, 1 k, and 1 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.6 and 56330 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -84*t - 3. Let m(g) = 2*g + 3. Calculate -4*m(s) - p(s).\nAnswer: 76*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -6*g**5 - 716*g**4\/3 + 36538*g**3\/3 + 1453156*g**2\/3 - 108240*g = 0?\nAnswer: -44, -41, 0, 2\/9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z**3 - 20 + z + 25*z**3 + 72 + 5*z - 12*z**3 to the form b*z**2 + s*z**3 + d*z + j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-733 - -741) + 65\/(-6).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.6 (b) -0.2 (c) -81\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 a factor of 162652167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -5*z + 0*z**2 - 1\/3*z**3 + 5. Let o(i) = 27*i**2. Calculate v(o(w)).\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:15 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101001?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561*n**3*s**5 + 11*n**3 + 873*n**2*s + n**2 + 5*n*s**4 wrt s?\nAnswer: -11220*n**3*s**3 + 60*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/3 - m**2\/2 - 705*m - 2. Give s(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(132)*-1 - sqrt(132)) + sqrt(132)))\/((sqrt(36) - sqrt(2304))\/sqrt(3)) + (-2 + (sqrt(33)\/sqrt(3))**2 + 2 - (-2*sqrt(1331))**2*3).\nAnswer: -15961 - sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 18*s - 12. Determine u(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 13. Suppose u = 2*u + j. Let q(m) = -m**2 - 10*m + 1. Does 10 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -23076*b. Let q(v) = -2*v. What is q(s(m))?\nAnswer: 46152*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21549 + 21550. Let s = 5 - 31\/6. What is the biggest value in z, 6, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 822, 1652, 2482?\n\"Answer: 830*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -9?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559660 a multiple of 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -63. Sort a, -0.5, 5 in descending order.\nAnswer: a, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 + 1063958*a - 283001656441 = 0.\nAnswer: 531979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57645 by -189.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96654840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1403 + 2969. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 2*u**2 - 4*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 164875430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6439200 + -6439197.9999982. Let p = k - 2. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064, 2116, 3168, 4220?\nAnswer: 5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1122, -2391, -3660, -4929?\n\"Answer: -1269*z + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 1}. Give prob of sequence lk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(117) - -3*sqrt(117)*3)\/(sqrt(81)*2))*6*-2.\nAnswer: -20*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -407, 3, 2 in decreasing order.\nAnswer: 3, 2, -2, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5228 (b) 3\/4 (c) 5 (d) -3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 229\/115279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12) + 7*(-10)\/4. Is -17 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/8 + -2 + -3 + 6. What is the biggest value in t, 1.5, 0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + -4 + 20\/4. Suppose -f*v + 2079 = -4*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 70. Suppose 2*t + g = -2*g + 91, 4*t + 5*g - 183 = l. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/16 - x**5\/5 - x**4\/4 - 9*x**2. Factor y(z).\nAnswer: 3*z*(z - 2)*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 119340 divided by 6\nAnswer: 19890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 - 13*s + 6. Determine a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301904 is divided by 29220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -55. Suppose 0 = -v + 2*v - n*a + 24, -3*v - 22 = 4*a. What is the tens digit of (-990)\/v - 6\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {e: 6, a: 1, q: 3, g: 2, l: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {t: 6, u: 7, a: 1, d: 1, k: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1216)*-3*-1)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*a + 3*t, -10 = -a + 4*a + t. Suppose -16*n - 2255 + 6975 = 0. Let r = n - 315. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -458, 3\/4, 15, 4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19061909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o - 34. Give n(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19831 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 60. Calculate the remainder when 50 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 + 23*c + 34. Calculate x(-13).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10317 is divided by 133?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1022.8 and 42352476.\nAnswer: 42353498.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.1 + -10.1. Let n = -35\/4 + 9. Sort n, -3\/2, h in ascending order.\nAnswer: -3\/2, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5600*u - 5597*u + 3.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84253 or -83942?\nAnswer: -84253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -7*o**6\/6 + 39*o**4\/2 + 1057*o**2\/2 - 3092. Find the second derivative of d(r) wrt r.\nAnswer: -140*r**3 + 468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253453386?\nAnswer: 2, 3, 71, 594961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21000003003 (base 4) to base 8\nAnswer: 11000303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5911947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58149078 - -153649078. Let o be (-14)\/(-4)*28\/49. Suppose 0 = -7*j + o*j + s. Round j to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 579.0687098 to the nearest integer.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 9*n + 18. Let a be v(8). Is (8\/a)\/(8\/3820) - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7954 + 14007. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 7*z**2 - 30*z + 145. Let b be s(6). Which is smaller: -1049 or b?\nAnswer: -1049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 20\/1 + -58 + (0 - -5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 - 58*f**2 + 17*f - 17*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - l)*(143*l + 101 - 101 - 1 + l + 1 + (2*l - 1 + 1)*(0 + 1 - 2) - 2*l - 3 + 3) - l**2 - l**2 + 0*l**2 in the form i + f*l + s*l**2 and give s.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-21) + 4\/14. Let p = 2629 - 2626. Factor 0 + 1\/3*n**2 + j*n**p - 1\/3*n**4 - 1\/3*n.\nAnswer: -n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 19*r - 15. Let w be x(-12). Is (7 - 1)\/(6\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:12 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212*t - 214*t - t**2 - t**4 + 0*t**4 + 4 to the form r*t**3 + b*t**4 + q*t**2 + k*t + s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548 - 5*p**3 - 548 - 15*p + 0*p**3.\nAnswer: -5*p**3 - 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10337 = -19*v - 10033 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1483 = -0*f - 3*p, f - 4*p - 361 = 0. List the prime factors of f.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/6)\/(170\/(-204)))\/((-2)\/(-15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(52) + 0 - sqrt(13)*2*-6)**2.\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13997, 27954, 41865, 55724, 69525?\n\"Answer: -t**3 - 17*t**2 + 14015*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:40 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (3 + -2)) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.3 - 28.3. Which is the fourth smallest value? (a) 2\/5 (b) k (c) -0.6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10380 divided by -1038?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, 2\/5, 7.5, -3 in ascending order.\nAnswer: -21, -3, -1, 2\/5, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -87, 5 in descending order.\nAnswer: 5, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m - 7. Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7057 at least as big as -7059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 3*a\/2 + 7\/4.\nAnswer: -(a - 1)*(a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363719 is divided by 72743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68 - 3?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -0.5551833?\nAnswer: -0.6551833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.0449087 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24166 and 8?\nAnswer: 96664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 0 (b) 1\/51 (c) -1\/151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 + 104817620*m**2 + 549336777940825*m + 1098673136611210 = 0. Calculate m.\nAnswer: -10481761, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3695 divided by 739\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/115, 19, 460, 5\/4?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000161840544 rounded to 7 dps?\nAnswer: 0.0001618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -731594*g + 5852760. Give c(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 300 = 5*f. Suppose 5*s + z - 8 = 0, -s - 1 = 3*z + 3. Is 36 a factor of f - (s + (-1)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:46 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1080)\/(-210) + (-2)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -151\/2. Which is the biggest value? (a) -3 (b) -0.1 (c) q (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-d**4 + 0*d**4 + 3*d**4) + 5147*d**2 - 5147*d**2 - 2*d**4 + 8*d**3 in the form a + u*d + h*d**2 + g*d**3 + l*d**4 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 5. Let b be g(4). Let o(i) = -i - 3 + b*i**3 + 3. Let k be o(1). Solve 0 = w + w - 5*h + 20, 2*w - 3*h + k = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 827578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, -3, -35, -4.\nAnswer: -35, -4, -3, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**4 + 3012*u**3 + 27520*u**2 - 67056*u = 0.\nAnswer: -11, 0, 2, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1192\/(-24) + 2\/6. Which is the smallest value? (a) -2\/5 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708714531 to the power of 1\/2, to the nearest integer?\nAnswer: 26622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11172 = -4*g, -2*g - 16750 = 6*p - 9*p. Let z = p + -100481\/18. Find the common denominator of z and -55\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540592977 to the nearest integer?\nAnswer: 23251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269850 - -437159. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from hftttfttttfttfftft?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 156*r**3 + 13*r**2 - 3 - 11*r**2 + 3 to d*r**3 + n*r + u*r**2 + g and give d.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:35 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c - 118. What is p(14)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692*d = -696*d + 4. What is the closest to d in 0.2, 7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -3*s - 103. Let z = s + -53. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*x**4 + 12400*x**3 + 5568749 with respect to x.\nAnswer: 368*x**3 + 37200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 22\/2) + 59150\/5720 + 1\/(-4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.03 - 5. Let g = h - 2.03. Suppose 3*r + s - 7 = 0, -r - 4*s - 5 = 11. What is the third smallest value in g, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/3 - 30201*g = 0.\nAnswer: 0, 90603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kvbukuk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*t + 13 = 0, 3*s - 804*t + 5 = -809*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13547 (base 9) to base 15.\nAnswer: -2ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**(-2)\/n))*n*n**(-3\/4))\/(n*n**(-7)*n**(4\/7)))\/(((n*n**(-3\/8))\/(n\/n**(1\/10)))\/(n\/(n**(-1\/2)*n)*n**3)) assuming n is positive.\nAnswer: n**(2367\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4736a + -1658?\nAnswer: 45812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -8. Which is greater: 1\/19 or q?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*s - 1. Let z(r) = r**3 - 6*r - 3. Let b be z(s). Suppose -4*u - 3*d = -b, 4*u - 60 = 4*d + d. Solve u = 4*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beek when four letters picked without replacement from ckgcegkkgdkcegbeg.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 274 or -4?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23698 and 34.\nAnswer: 23698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -36, -1, 70, 189, 368, 619?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -12. Let p = y + 22. Calculate the greatest common factor of 4 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 16. Let m be n(-5). Solve 0 = -b + 1 - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1373 - 977. Suppose 384 + f = 13*g. Let w = g + -25. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 26 = -q, -4*q = 3*j - 4 - 7. Suppose j*k - 3*k - 32 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4650057 and 5866.\nAnswer: -4644191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5014202 + -3?\nAnswer: -5014205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 79\/4 (b) 0.1 (c) -0.2 (d) -5 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-14)*14\/(-3). What is the third biggest value in 1\/4, x, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*a - 5*r - 35 - 8, 13 = -5*a + 3*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 18649\/441?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 4?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-115))\/((-20)\/(-350))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/5 + -11\/10. Which is the closest to -0.1? (a) v (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1\/13, 0.4, -0.4.\nAnswer: -17, -0.4, 1\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*a = 24, -4*n + a = n - 60. Is 39\/n*(3 - -17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5206, 4879, 4330, 3559, 2566, 1351, -86?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72272060 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*r - r, 3*n - 2*r = 149. Calculate the common denominator of 99\/130 and (-16)\/(-36) - n\/450.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.021 + 49. Let a = 0.0042 + g. Round a to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from jfjbfbbnnjnbbbi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 649104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 183829794.\nAnswer: -1\/183829794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18+12237460534\nAnswer: 12237460516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -27, -41, -59, -81?\n\"Answer: -2*i**2 - 4*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 + 30*r + 3. Let x(y) = 4*y**2 + 15*y + 1. Let u(v) = 3*t(v) - 5*x(v). Is u(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75516738 is divided by 4187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6\/5 (b) 1\/2 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 9. Suppose -k = 5, -3*v - 5*k + 2 - 36 = 0. Let f(m) = -m. Give v*f(p) + z(p).\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7637 - 7636.9999883235. What is v rounded to 7 decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = -3*c + 901, -4*j + 906 = -2*c. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**4\/19 + 6*q**3\/19 - q**2\/19 - 24*q\/19 + 72. Determine l so that g(l) = 0.\nAnswer: -1, 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -798, -4, 4, -2 in decreasing order.\nAnswer: 4, -2, -3, -4, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12605898491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940932.33 rounded to the nearest one thousand?\nAnswer: 2941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j**2 - 7*j**2 + 32*j - 32*j. Let k(q) be the second derivative of 6*q + 0*q**2 + 0 - 1\/2*q**3. Give k(g(p)).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 19. Let t be ((-4)\/4 + 1)\/(-1). Calculate d(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(12)\/sqrt(2)) + sqrt(5) + (sqrt(5) - (1 + sqrt(5))) + 5)**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5616 + 12553?\nAnswer: 21502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjqqjfqvsqsjs. What is prob of sequence ssfs?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -3320, -7080, -12344?\nAnswer: -19112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.17, 5, -0.4, 3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/33 and -17\/10038.\nAnswer: 110418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.3134 != 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12315\/4366? (a) -1\/2 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in years?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 366355164 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7404477?\nAnswer: 3, 37, 41, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 2*y**4 + 2*y**5 + (0*y - 3*y + 4*y)*(2*y**3 - 2*y**3 + 2*y**4) + 58*y**4 - 60*y**5 - 58*y**4 + 51*y**5 - 2771*y**3 + 2771*y**3.\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*p**3 - 11*p + 15*p + 97*p**3 + 96*p**3 - 67*p**2 to h*p + k + x*p**3 + w*p**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0955233266 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 43*l - 4. List the prime factors of v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*g + 13, 2*r + 5*g = -r + 17. Let k(i) = -i**2 + 2*i + 17. Let f be k(5). Let t be (r\/(-14))\/(f\/16). Sort t, -4, -1 in increasing order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*d + 9*d. Find the third derivative of 6*s**2 + 8*s**6 + 6*s**d + 9*s**6 - 6*s**2 wrt s.\nAnswer: 2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1, 563, -4\/7, -4, 0 in ascending order.\nAnswer: -4, -4\/7, 0, 1\/6, 1, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 591.03 + -591. Which is the third smallest value? (a) 4 (b) 0.09 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a factor of 25133763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2469.9 - 0.04.\nAnswer: -2469.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382994 and 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*a = -62*a + 5*x - 47, -4*x - 20 = -4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27012873039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(((-40)\/(-30))\/(4\/2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 17986240*w + 20219051833600 = 0. What is w?\nAnswer: 2248280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03450393266 rounded to 6 decimal places?\nAnswer: 0.034504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004039 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10966887 plus 21772.21?\nAnswer: 10988659.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -61*c - 11. Let i(t) = -20*t - 4. Let w(d) = -21*d - 549. Let y be w(-26). Give y*v(r) + 8*i(r).\nAnswer: 23*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408370071 and 21?\nAnswer: 2858590497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 - 693*v\/2 + 348.\nAnswer: -3*(v - 1)*(v + 232)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/30 and 101\/7890?\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 612202 or 2448809\/4?\nAnswer: 2448809\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**7\/1120 - m**6\/240 + m**5\/160 + 4*m**3\/3 + 4. Let t(u) be the third derivative of g(u). Factor t(d).\nAnswer: 3*d*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 64*a\/7 + 62\/7.\nAnswer: 2*(a + 1)*(a + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8650356?\nAnswer: 2, 3, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:28 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/154 and -11\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-48) + 2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/2 + 951*d\/2 - 24435 = 0. Calculate d.\nAnswer: -362, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*v - 200*v + 220*v to the form w*v + c and give w.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/(-1)*(-4)\/(-70).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/24 and 137\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**2 - w**2)*(7*w**2 - 3*w**2 - 11*w**2) + (0*w + 3*w - 2*w)*(-2*w**3 - w**3 + w**3).\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 113. Suppose 3*u - 5*b = -5, 0*b + v*b + 3 = 3*u. Solve -2*j - 3 = -5*c, c + 4*c - u*j = 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*a + 122*a - 5*v + 1183 = 0, 4*v = -32. List the prime factors of a.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 4*r + 2. Let h(m) = 7*m**2 + 8*m + 3. Let t(x) = 3*h(x) - 5*i(x). Let s = -103 - -97. Give t(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17920 by -35.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6*b + 1\/3*b**2 + 17\/3 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3. Let q be a(4). Let v = -1 + q. Suppose v = 3*i - 3 - 0. Let r(k) = 8*k**3 - k. Give r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g = -130 - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 0.1 (c) 2\/23 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 496822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. Calculate the remainder when 8 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1885*x = -79874 + 11197 - 106904 + 13471 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m. Suppose -3*t = -2*c - 16, 2*t + t - 4*c - 26 = 0. Let g(s) = -t*s - 2*s - 3*s. Give g(l(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -52*b + 2522. Let n be s(48). Solve -41*q + n*q = 75 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -26.96166 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(-220))\/((-222)\/54 - -4). Let q be -2 - (-2 + 3 - 3). Which is the closest to q? (a) v (b) 6\/7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(11\/(-1) + -2). Let x = -3 + 30. Let n = d - x. What is the greatest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6933799, -13867588, -20801377, -27735166, -34668955?\nAnswer: -41602744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 35, 36, 37, 38, 39?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**2 - 18*k + 15. Let y be p(-4). Suppose 16*c + y = 22*c. Solve -4*m + 20 = -s, 0 = 3*s + 4*m + c - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2773355, -5546671, -8319987, -11093303, -13866619?\n\"Answer: -2773316*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*l - 101, 5*l + 70 + 110 = 3*x. Let r = x + 316. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*y - 8. Suppose 1 = -4*g - 7. Let o be -3 + g + 1 + y. Solve -x = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 182\nAnswer: -109\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5690360 and 113807200.\nAnswer: 113807200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 8 (c) -27 (d) 4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 12. Let h be j(-6). Let i(x) = x**3 + 6*x + 5. Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3293087 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = -2. Let s(d) = -d**2 + d + 2. Let c be s(x). Suppose c = -2*n - 2*n + 28. Calculate the remainder when 25 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2702612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2156 and -47\/308.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b. Let n(a) = 5*a. Let w(j) = -5*n(j) - 2*r(j). Let x(y) be the first derivative of 77 + 0*y - 2\/3*y**3 + 0*y**2. Give x(w(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4*r. Find the first derivative of -4 + v + r + 6*v - 2*v wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 148.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from vyyvvyvyyyyybvyyy?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*i + 495173*f - 320572*i wrt i?\nAnswer: 3*f - 320572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*n - 156 + 242, -n = 8. Let g = 103 - 32. What is the remainder when g is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(72)\/sqrt(6) + sqrt(3)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325))*2 + -2.\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710192439 to the power of 1\/2, to the nearest integer?\nAnswer: 26649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 - 27556925*s - 137784750 = 0.\nAnswer: -5, 5511390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 511, 1354, 2761, 4732, 7267, 10366, 14029?\n\"Answer: 282*h**2 - 3*h + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 286. Determine t(-46).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194579 and 11191.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-471)\/314*4*1\/6*64\/2208\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.9 + 59. Let f = 6.618 - -0.082. Let q = -7 + f. What is the nearest to 1 in q, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(40)\/(sqrt(8) + sqrt(32)\/sqrt(4)) + (sqrt(5) - (sqrt(20)\/sqrt(4) + sqrt(5) - sqrt(5))*5) - (5 + (sqrt(15)\/(1*sqrt(108) + sqrt(3)))**2).\nAnswer: -446\/49 - 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + c**3 + 2 + 10729*c**2 - 10729*c**2 - c. Let p(w) = 2*w**3 - 2*w**2 - w + 1. Suppose -b + 11 = 4*n + 1, n = 3*b - 4. Calculate n*u(a) - 2*p(a).\nAnswer: -2*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from {p: 6, l: 3, i: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 157, 403, 749?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.507 rounded to one decimal place?\nAnswer: -34.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdu when four letters picked without replacement from {u: 5, k: 1, r: 6, p: 2, d: 2}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/2)\/(0 - (-1)\/(-44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*w - 4*s, -2*s + 11 = 14*w - 9*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 1 v when three letters picked without replacement from wvhhvhwmhpv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.07595, 1\/9, -22 in increasing order.\nAnswer: -22, -7.07595, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432 + 20. Suppose 9*c = -s + 1307. Let w = 99 - c. Calculate the highest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from eejzejzzxezjeje.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 7. Let d(y) = -y**3 - 9*y**2 + 11*y - 3. Let k be d(-10). Is p(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + -12b4c9?\nAnswer: -12b4e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (1 - 5))*(-192)\/(-60). Which is the closest to 0? (a) -0.5 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**2*l**3 + 37*i**2*l**2 + 2*i**2*l + 11*i**2 + 18*i + 1101*l**3 - 5*l + 2 wrt l.\nAnswer: -36*i**2*l + 74*i**2 + 6606*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5))*1 + (sqrt(10)\/sqrt(2) + -3 - sqrt(5)) + (sqrt(80) + 1 + 3)**2*-6.\nAnswer: -576 - 191*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 7 = -7*i + 6*i, 2*i = 3*x + 49. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/5 (b) 3\/113 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*a - 30*a + 195. Let b(f) = 8*f - 11. Calculate the remainder when b(18) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41\/10273931 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*y**5 + 93*y + 18 - 168*y**5 - 24 - 96*y**5 - 714*y wrt y?\nAnswer: -3920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**9\/4536 - c**7\/420 + c**6\/270 - 88*c**3\/3 + 115. Let n(a) be the third derivative of i(a). Solve n(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 - -1020202002?\nAnswer: 1020200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8474 + -4849. What are the prime factors of y?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x - 14. List the prime factors of m(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109\/((-220725)\/(-243)))\/((-4)\/(-50))*-18.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 4. Let o be 6 + -2 + (9*1811 - k). What is o rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1 - 10\/(-5) - -4). Let s = 44 + -47. Let w be 17 - (-1 + (4 - 3) - s). Solve -b*c - 13 = -4*f, f - 3*f = -4*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36920 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -700144850 rounded to the nearest one million?\nAnswer: -700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 27*x + 530. Give g(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7970 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: Collect the terms in 230671*a - 461501*a + 230765*a.\nAnswer: -65*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-40)\/(-16)))\/((-3)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 0. Suppose 1 = x*w + 1. Solve w = -2*g - 7 + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(8)\/(sqrt(4) - (sqrt(4) - -2*sqrt(24)\/sqrt(6))).\nAnswer: -sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45911855 is divided by 4326.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - w - 1. Suppose -c = -4*i + 74, -4*c - 44 = -2*i - 0*c. Suppose i = -4*j + 2*q, -3*q + 20 = q. What is h(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6003 (base 7) to base 16\nAnswer: 80d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 234350241?\nAnswer: 234350241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, z: 7}. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4893225*l + 1368995?\nAnswer: 4893225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/120 + r**5\/60 + 5*r**4\/24 - r**3\/3 + r**2 + 75*r. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 79. Let z = 0.5 + 4.5. Which is the biggest value? (a) t (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*o + 176, 2*g - 6*g - 4*o + 176 = 0. Let v = -18 + g. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**24 assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -293*o**2\/2 - 48*o - 12. Let h be c(-17). Suppose -6*n + n = 15, -2*f + 5*n = -h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - t - 2*t)*(2*t + 2 - 2) + (-5*t + 0*t - t)*(-3*t + 13*t - 7*t) in the form p*t + c*t**2 + n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7235\/(-20)*(2 - 58). Suppose -45*a - p = -52*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1)\/(18\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5249096 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 - 7*f + 25*f**3 + 7*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z + 4*z**2 + 9*z**3 - 10*z + 10 + 3*z. Let j(g) = 55*g**3 + 25*g**2 - 90*g + 60. Let i(m) = -4*j(m) + 25*r(m). Let i(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/85)\/(((-1)\/(-40))\/((-27)\/(-54))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(1\/10). Let t(k) = -6*k**2 + 3*k - 4. Let i(y) = -5*y**2 + 2*y - 3. What is w*i(r) - 4*t(r)?\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736057714 divided by -83321.\nAnswer: 8834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*b**2 + 17*b**2 - 40*b**2 + (-2*b - 2*b + 3*b)*(b - b + b)*(-6 + 62 + 8).\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 11*l + 2. Let a be ((-22)\/5)\/(7\/(70\/(-4))). Give i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 23*w**2 - 10*w + 6. Let s be z(-11). Which is the closest to -83\/2? (a) -0.5 (b) s (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2 - g + 1. Let u be m(-3). Let z(o) = -2*o**2 - 3*o - 1. Let n(f) = -f**2 - 4*f. Let x(l) = -3*n(l) + 2*z(l). Is x(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8\/9 (b) 4 (c) 170 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let a(c) = 26261*c. Determine a(n(w)).\nAnswer: -183827*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m - m**4 + (3*m - 2*m + 0*m)*(-m**3 + 4*m**3 - m**3) + 0*m**4 + 3*m**4 + 0*m**4 + 54*m**3 + 33*m - 153*m**3 + 2*m**4 + 96*m**3.\nAnswer: 6*m**4 - 3*m**3 + 33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*j = 2 + 1, 4*j - 14 = 2*o. Let y be (-4 - (o - 2)) + 3. Solve 0 = y*n + 6 + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000000101011110011 (base 2) to base 5\nAnswer: 113331331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185.9 + -178.9. Which is the closest to s? (a) 5 (b) -1 (c) -2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 13*v. Let h(p) = 301*p + 2. What is h(b(u))?\nAnswer: -903*u**2 - 3913*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27513 + 4908 = 3216*r - 2895*r for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.55 + -0.85. Which is the nearest to -1\/2? (a) j (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5403 is divided by 4022?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 57\/4 (b) 155 (c) 18\/7 (d) -3\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a9 - -32?\nAnswer: 1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 0 + 0 + (-2 + 2 - 2)*(-f**2 - f**2 + 0*f**2) - 11*f**2 - 2240 + 2240 - 2*f + (3*f + f - 3*f)*(-f - 2*f + 4*f) + 1 - 1 + f**2.\nAnswer: -6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/34*(-4)\/(-10) - (-1702)\/1173\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12075238.\nAnswer: 2, 7, 41, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/12 + (-2)\/8. Suppose f*o = 2*o + 5100. Suppose -5*p = -10*p - o. What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 at least 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35190 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*b - 233*b = -406*b + 4752 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 3, u: 3}. What is prob of sequence oo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3309*g + 114823 + 40242 = -90927 + 30907 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 - 124. Let f be 0\/((5 - b)\/2). Suppose -6*q + 372 = -2*q + 4*l, -4*q + 5*l + 372 = f. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wwwwwwwxxwww?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83595 is divided by 11935?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 9. Let b be g(-5). Suppose 2 - 6 = -2*r. Sort b, 3, r in descending order.\nAnswer: 3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97089131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*-16)\/((-8)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100100000101 (base 2) in base 3?\nAnswer: 221122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23178148.\nAnswer: 2, 7, 827791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose 0 = 2*w - 4*a + 252, -a + 228 = -k*w - 3*a. Let g be w\/(-10) + 1\/5. Calculate the greatest common factor of 30 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -548 - -9865\/18. Sort m, -0.09, 3 in decreasing order.\nAnswer: 3, m, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133824 divided by -3.\nAnswer: -44608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.2 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98006481 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 73 = 5*p, -36 = -0*j + 2*j - 3*p. Calculate the smallest common multiple of 30 and (4 + 2 + -27)*54\/j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101815127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - r + 4*r = 314, -5*r - 10 = 0. Let w be 16\/72 + -61*y\/(-9). What is the greatest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13 + 19 + 27*g + 5 + 33. Is 7 a factor of j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 0*q**3 - 2*q**3 + (-3 + 2*q**2 + 3)*(-q + 5 - 5) - 4 - 10475*q**3 + 10467*q**3 + 1 to the form f*q**2 + j*q**3 + h + y*q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 607*x + 12667. Determine p(-21).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 1. Suppose 0*k + 15 = -2*k - 5*l, 3*l + 30 = 3*k. Let v(f) be the second derivative of 0 + k*f - 2\/3*f**3 - 5\/2*f**2. Give 6*b(o) + v(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(68)*1 - (1*(-2*sqrt(68) - sqrt(68)) + sqrt(68)))\/((sqrt(640)*-6)\/sqrt(10)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 0*h + h**2 + 150 + 0*h.\nAnswer: h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-84)\/336)*8455\/(-89).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15160?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l - 10 = 0. Find the third derivative of -5*w**4 + w**4 - w**l + 2*w**2 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + v + 13 = 0, -6 = -3*l - 3*v - 0*v. What is the tens digit of ((-5)\/l - -1)\/((-4)\/114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.7, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-1)\/(-9))\/(5\/15). Solve 0 = -f + g + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1467195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let s = 12\/565 - -541\/1130. Let l(r) be the second derivative of -s*r**3 + 9*r + 0 + 0*r**2. Determine l(o(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 281 - 261, -4*l + 12 = -3*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*v = 5*v + 18790. What are the prime factors of v?\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 0*b**4 + b**4 + (b**2 - 2*b**3 - b**2)*(b - 2*b + 3*b) + 0*b - b**4 + 0*b + 12*b**4 - 14*b**3 + 14*b**3 + 2*b**4 + 2 - 2.\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2, 1.103, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 16*c**2 - 16*c - 11. Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 841.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 778*c**2.\nAnswer: c**2*(c - 2334)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 + 272.57. Let v = q + -0.07. Let d = v - -1.5. Sort -3\/8, d, -2\/9.\nAnswer: -3\/8, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -55*m. Let h(u) = 255*u. What is f(h(z))?\nAnswer: -14025*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5400, 5472, 5948, 7116, 9264, 12680, 17652, 24468?\nAnswer: 33416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -293\/13 - -60664\/2691. Let h = 6883\/10764 - b. Let m = -3\/26 - h. Sort m, 3\/8, 0.5 in increasing order.\nAnswer: m, 3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*g = 11 + 22, -15 = 5*g. Let p be -53 + (-1)\/3*t. Let j = -4 - p. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415 divided by -83\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -4?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -134, -312, -572, -920, -1362?\n\"Answer: -k**3 - 32*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 20*h - 58. Let k be ((-2750)\/1375)\/((-4)\/(-38) - 0). Give z(k).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 110 + (-4 - -2) + 0. Suppose -176 = -4*x + 4*t, 3*x - p = -10*t + 5*t. Calculate the remainder when 162 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -61138.\nAnswer: -61141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r. Let y(s) = 4*s - 1. Suppose 2*b - 2 = t, -b + 19 = 5*t - t. Give b*g(k) + 2*y(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 8. Let l(x) = -2*x**2 - 75*x - 39. Let b be l(-37). Let c(s) = -27*s - 36. Let r(f) = b*c(f) - 9*o(f). Let h(k) = 5*k**2. Determine r(h(g)).\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 17*z**2 - 14*z + 35. Let n be u(-16). What is the second derivative of -172*p**2 - p**n - 66 - 179*p**2 + 333*p**2 - p wrt p?\nAnswer: -6*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 517*r - 11*r**2 - 1045*r + 528*r. Let j(g) = g + 232. Calculate j(b(x)).\nAnswer: -11*x**2 + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430608199 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 28?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(1421 + 2). Let j be -2*(-8)\/(-4) + 752. Let n = j + y. What is the common denominator of n and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12482470 divided by -455.\nAnswer: 27434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 17) + 3 - 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 26873176 - 1433176 = 0. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 6*t)*(-34*t**3 - 2*t + 34*t**3 + 11*t**4).\nAnswer: 66*t**5 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -83393270 divided by 685\nAnswer: -121742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.141 and -0.5.\nAnswer: -4.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.41 - -490.61. Let f = s + -438. Which is the third biggest value? (a) -4 (b) 2\/9 (c) f (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11668 + 30494. What are the prime factors of u?\nAnswer: 2, 3, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 + 0.2.\nAnswer: 285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 90\/(-8))\/(132\/(-528)). Let z(g) = g**3 + 45*g**2 - 2*g - 89. Let u be z(j). Put 24, 0, u in descending order.\nAnswer: 24, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**9\/567 - w**8\/168 + w**7\/24 - w**6\/16 - 11*w**4\/4 - 30*w - 3. Let l(b) be the third derivative of d(b). Factor l(r).\nAnswer: -5*r*(r + 3)*(4*r - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 31*m - 159. What is i(9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-28)*-12)\/((-2)\/(-7))*(-4576)\/(-792)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -90132, -2, -1, -3 in decreasing order.\nAnswer: 5, 2, -1, -2, -3, -90132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-15)\/((-60)\/64) - -2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1130, 4464, 10114, 18080, 28362, 40960?\n\"Answer: 1158*t**2 - 140*t + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 27*o + 42 - 61 + 201 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 18 + 18 + 3*w**3 + 7*w**3 - 7*w**2 + 7*w**2 + (w**2 - 2*w + 2*w)*(0 - 3*w + 0).\nAnswer: 7*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/100, -112, 0 in decreasing order.\nAnswer: 1\/100, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v**17)**(-20) assuming v is positive.\nAnswer: v**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7074 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**2 + 1062172*v + 3178026?\nAnswer: 6*v + 1062172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.47191 plus -5.4?\nAnswer: -3.92809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 42. Suppose -z*f = -12*f + 15. Let g be ((f - 7) + -7)\/(1\/2). Solve -g = -h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26969972 - 26969973.69999972. Let u = -24.3 + 26. Let n = u + z. Round n to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/a**1)\/a*a)**(-23)*(a**1*a)**(-1\/20) assuming a is positive.\nAnswer: a**(-461\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (319\/22)\/(-4*(-3)\/216) is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -5, 3 in descending order.\nAnswer: 3, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -582, 2, 5, -3 in decreasing order.\nAnswer: 5, 2, -3, -79, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1203, -1202, -1201?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 6 - -28 - (14 + -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 11*x + 15. Let c = -13 - -7. What is the remainder when y(c) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -6 (b) -1 (c) -2\/3 (d) -590 (e) -3 (f) 2\/11 (g) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 12*a**2 + 27*a + 4. Let h = -256 + 253. Let g be q(h). Solve -g*f = 4*i + i + 1, -4*f + 5*i + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**5 - 48939550*h**2 + 412758758*h wrt h?\nAnswer: 100*h**3 - 97879100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d + 26. Let u be j(-8). Let p = u + -74. Is -2\/333 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-40))\/(1\/2). Let z(f) = f + 10. Let h be z(-7). Suppose -5*w = 3*t + 5, 2*w = -w - h. Is j != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/110 and 89\/16.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - o**2 - 3*o**2 + (-2*o - 1 + 1)*(-2*o + 0*o + 3*o) + 0*o + 7*o - 3*o**2 + 0*o**2 to the form i*o**2 + b + x*o and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 83 = -2*o - 249, b + 3*o = -2*b + 87 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/132 and -51\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - z + 37 = -22, 2*z + 91 = 5*y. Let o = y + -14. Suppose 2*t - 29 = 3*r, 3*t = -0*t + o*r + 41. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:43 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 910 = 1658. Let p = n - -78. List the prime factors of p.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*x - 661808 + 3161058 = 0. List the prime factors of x.\nAnswer: 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3\/(-390))\/((-47)\/(-235))*4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 16, z: 1, b: 3}. Give prob of picking 2 b and 1 t.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**3 - 2*c**3 - c**4 - 2 - 3*c**3 - 3*c**3 - 3*c in the form h*c + r*c**2 + d*c**4 + z*c**3 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26888 or -13346?\nAnswer: -13346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396990909 to the power of 1\/2, to the nearest integer?\nAnswer: 58284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 + 0*b**3 + 7*b**3 + (-11*b + 318*b**2 + 11*b)*(-2*b + 0*b + 0*b).\nAnswer: -634*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 1 f when three letters picked without replacement from {v: 1, x: 2, w: 4, f: 2, s: 2, e: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 15, 17, 15, 9, -1?\n\"Answer: -2*g**2 + 12*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322.665 + -322. Let c = t - 0.7. Round c to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*d - 17, -1862*d - 30 = -2*l - 1867*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*m = 10, -d = 2*m - 3 + 4. Suppose 2*u + u - 24 = 3*b, d*b = -2*u - 9. Suppose -19 = -8*i - u. Solve 0 = 2*j - i - 4, -3*r = 3*j + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + -12 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.00036 and 0.32.\nAnswer: 0.32036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*t**2 + 3*t**3 - 6*t**2 + 14*t**2.\nAnswer: 3*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u + u)*(0*u + 0*u + 2*u**3) + 0 + 1 + 0 - u**4 + 2*u**2.\nAnswer: 3*u**4 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7610, 7923, 8444, 9167, 10086?\nAnswer: 11195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 8*z**2 - 16*z - 27. Determine x(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 25. Let v be j(16). Suppose -16*f = -17*f + v. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-20))\/((-62)\/(-8)). Let t = v - -81\/589. Let o = -0.1 + 0.3. Sort o, -1, t in descending order.\nAnswer: o, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 6. What is n(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(44) + (sqrt(11) - (sqrt(11) - (sqrt(539) + (0 + sqrt(539) - sqrt(539))))**2).\nAnswer: -396 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80820307?\nAnswer: 41, 47, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -1a5113?\nAnswer: 1a511b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -17*t. Let x(z) = -4*z**2. Give x(k(j)).\nAnswer: -1156*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -1\/7, 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 7. Let r(p) = -7 - 35*p**2 + 12*p**2 + 5*p - 8*p**2 + 49. Let n(g) = -6*i(g) + r(g). What is n(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2850.1 - -3032. Let g = -182 + z. What is the nearest to g in -0.6, -1\/6, 4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*a + 3 + 12, -2*h - 12 = 4*a. Let x(w) be the third derivative of -w**2 + 0 - 2\/3*w**3 + h*w + 1\/12*w**4. What is the derivative of x(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231011 + -3002012?\nAnswer: -2111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 4 (b) 0.3 (c) 0.9 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 277949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 253 and -5?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1664 - 1636. Calculate the remainder when 585 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1302*a**2. Let p(k) = 7*k - 528. Determine p(h(d)).\nAnswer: -9114*d**2 - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -347*v - 6582. Is 158 a factor of r(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o**2 + 3*o + 15*o**2 - 24*o**2)*(o**2 + o**2 - o**2).\nAnswer: 2*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -9. What is the least common multiple of 2 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2147*m**2 - 285550*m + 141. What is q(-133)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvvuuuuuuuuv. Give prob of sequence vuu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10968 and 608.\nAnswer: 833568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 3, s: 3, c: 2, l: 1, k: 1}. What is prob of picking 1 l, 1 c, and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/3 - 83765*w\/3 - 2075330.\nAnswer: 5*(w - 16827)*(w + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 + 53. Let d(y) = 25*y. What is d(x(i))?\nAnswer: -150*i**2 + 1325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o + 0*o - 3*o)*(-2*o + 5*o - 5*o)*(-3 + 0 + 0).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8910 is divided by 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l + 1. Let b be k(-2). Let y be (-24)\/(-16)*(-4)\/(-2). What is the third derivative of -r**4 - y*r**4 + 2*r**4 - b*r**2 wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2810?\nAnswer: -1\/2810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4754 - -6 - (0 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.45 - 0.05. Let h = v - 0.4. Suppose -2*x = 2*x. Which is the second biggest value? (a) h (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 203*r - 6326012 = -133*r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22232986.\nAnswer: 2, 2113, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**2 - 203*n + 83. Let k be j(-13). Solve -5*p + 2*s = 18 + 1, -4*p + 3*s - k = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 46248348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m + 2*y, 3*m + 5*y = 2*m + 7. Let o = -533\/84 - -38\/7. Find the common denominator of (-1)\/2*(-218)\/m and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510 (base 8) to base 10.\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -34347, -1, 29 in decreasing order.\nAnswer: 29, -1, -34347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*1 + 4 + sqrt(5) + sqrt(5) + -1 + 3.\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**12\/j*j\/(j**(-2\/3)\/j) assuming j is positive.\nAnswer: j**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 16*t + 1. What is the highest common factor of t and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -221*h + 1873. Let k be f(8). What is the highest common divisor of k and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 719*m - 23989. Calculate x(32).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 73. Suppose -1 = 5*q - 11. Let z(c) = -c**2 - 4*c**q - 3*c**n. Let g(k) = -k. Calculate z(g(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(-18)\/((l\/(l*l**(-3\/4)*l))\/(l\/(l*l**(-2\/9)))))**(1\/29) assuming l is positive.\nAnswer: l**(341\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.191625709 and -3115.\nAnswer: -3113.808374291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*q**3*y**3 + 5*q**3*y**2 + 10651*q**3 + 221033*q*y**4 - q*y**2 - 5*y**2 + 2 wrt y?\nAnswer: 354*q**3 + 5304792*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-636)\/9858 - (-314)\/62. Solve a*f + 21 = 2*p - 0*f, -5*f - 18 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 - 6*z**2 + (-2*z - 3*z + 4*z)*(z + 0*z - 3*z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 7, l: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 738, 754, 754, 732, 682, 598, 474?\n\"Answer: -b**3 - 2*b**2 + 29*b + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r - 2. Let m be d(6). Let s = -4 - m. Sort s, 5, 1 in decreasing order.\nAnswer: 5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -450 or -465?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 1)*(-x - x + 3*x) + (-1 + 0 + 0)*(-3*x + 0*x + 5*x) + (x + x - x)*(0 + 3 - 1) + 3*x + 2*x - 2*x as c*x + w and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(((-15)\/(-5))\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 15*g + 28. Give t(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -194771 at least as big as -194771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((516\/(-234))\/(-43))\/(2\/(-18))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6520044?\nAnswer: 2, 3, 17, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172855107?\nAnswer: 3, 6402041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 z when three letters picked without replacement from oiooyoozioyofooo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b = 80*b + 84*b. Sort 20, -4, 5, b in decreasing order.\nAnswer: 20, 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -31. Let z = i + 29.6869. Round z to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.83 (b) 1\/4 (c) -0.1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 - 22*c**3 - 19*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-24)\/6 - -3)*8. Solve 0 = 5*u + 5*x + 30, -y*u + 5*u - 2 = -5*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -1.4, 2\/9, 0.5, -5\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.95 + -9.55. What is the second biggest value in q, 3, -3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(77) + sqrt(77)*1)\/sqrt(11) + -4).\nAnswer: -10*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: c7 (base 16) to base 8\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 28\/5, 2, 1\/7, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963694 rounded to the nearest ten thousand?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433 + -23214303?\nAnswer: -23212320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 10) in base 5?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/210)\/(2\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2 + (-22)\/10). Find the second derivative of -2*y**u + 3*y + y**3 + y**3 - 2*y**3 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 m when three letters picked without replacement from mmfiyicfyuyi.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 2\/3, -1.34, -0.31 in increasing order.\nAnswer: -4, -1.34, -0.31, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-33)\/21 + (-3)\/7. Suppose n = -5*q - q + 3*q. Let c be ((-1)\/3)\/((-8)\/120). Solve 2*y + 3*i + 3 + 4 = q, c*i + 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 > -1110.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3483 - -27795\/8. Calculate the common denominator of l and ((-46)\/8)\/((-5)\/(-4)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from acppo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 8. Let d = c + 6. Let t = 0.06 - -1.94. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 36726*a\/5 + 36728\/5.\nAnswer: -2*(a - 1)*(a + 18364)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 96 + -77 + -15 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3442 + 3441 + 1051*b - 1048*b - b**3 + 9*b**2. What is c(7)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -172, -178, -184, -190, -196?\n\"Answer: -6*i - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*a - 689*a + 9*t + 51 = 0, -5*t = 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 18*y + 23*y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -19) + (-2 - (2 - 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 370, -5 in descending order.\nAnswer: 370, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 495 - 490. Suppose -4*d + 60 - 15 = v, -h*d + 20 = 0. Solve 7*o - v = -8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56025739 by -70829.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 198 = -198. Solve 0 = -p - 2*k + 4, -5*k - 4 + t = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*t**4 + t**3 + t - 54?\nAnswer: -1212*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -17. Put 2\/5, m, -4 in descending order.\nAnswer: 2\/5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from jjjjjjjjjjjxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1953?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/10 and 2 - 7705\/1330 - (-8)\/2?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/10)\/(-2))\/(6\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**4 + 69*f**3 + 180*f**2 - 108*f = 0 for f.\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 14 = 16*k. Which is smaller: k or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -68*d**6\/3 - 91*d**4\/2 + 228*d. Find the third derivative of b(u) wrt u.\nAnswer: -16320*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/15))**(-5\/9)*(i**(-1))**(11\/3) assuming i is positive.\nAnswer: i**(-101\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4712 and 380?\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -830*q**2 + 330*q - 23178725 wrt q.\nAnswer: -1660*q + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 457034868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 48, 121, 264, 501?\n\"Answer: 4*a**3 - a**2 + 2*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5224 + 5189 = 2*d, -2*d + 97*t - 863 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*14\/28*-6. Let n = 1 + 10. Sort 3, p, n in decreasing order.\nAnswer: n, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 4, 2, 7, -5820?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zczp when four letters picked without replacement from {z: 5, p: 3, u: 1, d: 1, c: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -113*c - 1 - 138*c + 241*c + 1. Let v(t) = -12*t + 3. Let z(d) = d - 1. Let f(g) = -v(g) - 3*z(g). Calculate f(s(j)).\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2. Let n(s) = -12*s + 22*s - 15*s. Let a = -6 + 51. Let h(l) = 55*l. Let m(f) = a*n(f) + 4*h(f). Give m(p(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 11*q + 2. Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10112202 (base 4) to base 16.\nAnswer: 45a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + -8) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 53104?\nAnswer: 21241.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + 4*h)*(26 - 21 - 12)*(-418*h**3 + 209*h**3 - 5*h**2 + 210*h**3 - 2*h).\nAnswer: -28*h**4 + 140*h**3 + 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70944 is divided by 23644?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 4, n: 4, h: 4, s: 1, b: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 4*g**3)*(-67*g + 300*g + 27*g)*(1 - 2 + 0) to p*g**2 + y*g**4 + i*g + n*g**3 + z and give y.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*g + 42, a = -a + g + 21. Calculate the remainder when 34 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*c - 53, -2*c + 8*u = -11 - 33 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 234 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/828617 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p**(5\/6))**(-1\/14)\/(p\/p**(-5)*p*p\/(p\/(p*p**6\/p)))**(3\/5) assuming p is positive.\nAnswer: p**(-3331\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/28)\/((-372)\/434)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -69. Let v = 147 + -88. Let k = 10 + v. Calculate the remainder when k is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -9*p**4\/2 + 2*p**3\/3 - p**2\/2 + 15. Determine f(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*p = -17*c + 50, -9 = 121*c - 123*c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 569825211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 19*q**2 + 55*q**2 - 19 - 11*q**2. Let m be i(7). What is m rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, a: 10}. What is prob of picking 2 h and 2 a?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -57*n + 8. Let i(x) = -2679*x + 380. Let v(q) = 2*i(q) - 95*p(q). Let u(l) = 2*l. Give u(v(t)).\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:56 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 9, -19\/139?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.7. Let k = 0.4 - p. Which is the second biggest value? (a) 0.4 (b) k (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x**3 + 29*x**3 + 27*x**3 + 34*x**3 - 101*x**3.\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 362339948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s - 24. Let f be p(-3). Suppose f = 4*k - y - 20 - 39, -5*k = -y - 74. Solve -4*i + k = m, i - 5 = -m + 2*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0347 less than -432361152.1?\nAnswer: -432361152.0653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 5*s**2 + 2*s + 4. Let x be m(3). Suppose -x = -l + 49. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62893\/21 - -2995. Let y = 4 - 5. Which is the second smallest value? (a) y (b) 1\/2 (c) i (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/30 + 7*z**4\/8 + 7*z**3\/6 - 40*z**2 + 3*z. Calculate the remainder when m(9) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95790801 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*v**4 - 92*c**2*v**2 + c**2 - 21*c*v**3 + 5*c*v**2 + 43*v**5 wrt v?\nAnswer: 72*c**2*v - 126*c + 2580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 21 = 0. Let o be (-3)\/(c\/30 + -3). Let z = o - 284\/253. What is the third biggest value in 0.5, -5, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:30 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/110605 and -18\/2011.\nAnswer: 110605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256579 + -256577. Find n such that -1\/2*n**m + 0 + n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.3, 733, 17 in descending order.\nAnswer: 733, 17, -5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let m(d) = d + 29. Calculate n(m(s)).\nAnswer: -s - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 41 = -137 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 41, 50?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - -8) + (31 - 39) + 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:57 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4504*f - 1468*f - 1503*f - 1472*f. Let q(j) = 74*j. Give q(w(g)).\nAnswer: 4514*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d)\/d*d**(-3))\/(d**0\/d)**(-3\/23)*(d**(-1))**(2\/3)*d\/((d*d\/((d\/(d**(-4)*d))\/d*d*d)*d*d)\/d)*d**(1\/5) assuming d is positive.\nAnswer: d**(-55\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence immi when four letters picked without replacement from {i: 7, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22992*z**2 + 3*z**3 - 18627*z**2 - 15*z**4 + 14*z**4 + 155*z**6 wrt z.\nAnswer: 18600*z**3 - 24*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/294 + w**6\/210 - w**5\/70 - w**4\/42 + w**3\/42 + w**2\/14 - 118*w. Suppose h(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:18 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -102. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(112) - 5*(sqrt(112) - (sqrt(112)*-2)**2).\nAnswer: -12*sqrt(7) + 2236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*c - 3*c + 22 = 0, 0 = 4*z + c - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**4 - 136*t - 44 wrt t.\nAnswer: 16*t**3 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/4 - 2*c**3\/3 + 7*c**2\/2 + c. Let t(z) = z**2 + 2*z - 3. Let a be t(-4). What is the units digit of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n. Let u = -2 + 4. Suppose 0 = 4*p + 3*d + 5, -1 + u = d. What is the least common multiple of v(p) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llljljllll. Give prob of picking 3 l and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1053*a*h**3 + 11*a*h*v + 405*a*v**2 - 2*h**3*v**2 wrt h?\nAnswer: -6318*a*h - 12*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 2)*-1)\/((119 + -1)\/(-1416)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggginiggin. Give prob of picking 3 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12875 by 16473.\nAnswer: 12875\/16473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 25. What is the highest common divisor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 - ((-6 - 4) + -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21417 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 625740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + ((-6)\/8)\/3. Is 276 + n\/(1 - 0) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2293 to the nearest 10.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 2*q**2 + q**2)*(-2*q**3 + 4*q**3 - 5*q**3) + 4*q**5 + 0*q**5 - 5*q**5.\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -5, -9, -8.\nAnswer: -10, -9, -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1331, -10646, -35933, -85178, -166367, -287486?\nAnswer: -456521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349181637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-3 - -9) + -2 - 7) + -22\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231867573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*((-1114)\/30078)\/((-4)\/(-10))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 + 11 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 9483*w + 3490506.\nAnswer: -3*(w - 3494)*(w + 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*g**2*q + 2*g*q + 6*g - 20*q wrt g.\nAnswer: -274*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087676.\nAnswer: 2, 17, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312785 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 3. Let r be (69\/9 - -3)*i. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/144 and 79\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 6*s = -15. Let i be (s\/32*88)\/(1\/40). Calculate the greatest common factor of i and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/126 + 4\/18. Let s be 0\/2*(14 - 13). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -13 - 0 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 9 = 15*h - 364. Let q(g) = -g**3 + 22*g**2 - 2*g - 16. What is q(h)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -87. Are -2\/665 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4474*s**2 + 5*s + 12*s - 6*s - 16110*s**2.\nAnswer: -11636*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let l(n) = 3*n**2 + 7*n + 56. Let u(b) = b**2 + 2*b + 19. Let f(d) = 4*d + 73. Let t be f(-20). Let o(z) = t*u(z) + 2*l(z). Give o(c(x)).\nAnswer: -4*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-8 - ((-10 - -6) + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 33\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3155 - 325650?\nAnswer: -322462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14073920 divided by -1407392.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 280139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.02004059\nAnswer: 5.02004059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - o + 4 = 0, 28*o = -3*v + 32*o - 16. Which is the closest to v? (a) 0 (b) -3 (c) -6 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - y + 1. Let b be r(1). Let s(m) = m**2 + 0*m + 0*m - b*m**2. Let n(o) be the first derivative of -5*o**2 - 248. Determine n(s(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = -12*f + 62*f + 532 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-585)\/(-273)*(-126)\/(-243)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.44859 nanograms to kilograms.\nAnswer: 0.00000000005144859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.83 times -3433\nAnswer: 64643.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 6*i - 3. Let a be t(-5). Suppose 4*s - a*k = 2, 2*k = s - 4*s + 5. Let d = 4 + s. Let h(q) = q**2 - 4*q. What is h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p. Suppose 3*f = -0 + 6. Suppose -2*h + 12 = 4*n, h - 5 = n - f. Sort p, n, -1.\nAnswer: -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(98)*2 + -4)**2 - (2 + 3 + (sqrt(98) - (sqrt(98) + 0))))*6*-2.\nAnswer: -4800 + 1344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 1. Let k(q) = q**2 - 3*q - 4. Let c be k(5). Let t(d) = -2*d - d**3 - c*d**2 - 2*d - 5 + 3*d. Let i be t(-6). What is z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326394 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 13*j**2 - 2*j + 28. Let s be h(13). Suppose 0*k + 72 = 3*k. What is the remainder when 38 is divided by ((-6)\/k + 1)*s*10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2794*w + 2794*w - 39*w**2 + w**2 - 4 + 4 + (-w - 2*w + 5*w)*(4*w - w - 2*w) + 4 + 45*w**2 - 52*w**2 + 53*w - 51*w.\nAnswer: -43*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)*f**(3\/5))\/(f\/f**0*f**1) assuming f is positive.\nAnswer: f**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971574759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/207, -2, 1, 0.4, -8?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5649 or 5581?\nAnswer: 5649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12481896.21 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29334940 to the nearest 10000.\nAnswer: -29330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03818 and 0.3.\nAnswer: 0.26182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -293 + 288 + (-43)\/(-8). Do g and 306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406266?\nAnswer: 2, 3, 7, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let s = -3\/41 + -32\/123. Let r = -6 + 11. Which is the closest to d? (a) r (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by -472.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 9. Let f = -6.6 - s. Put 1\/3, f, 1\/10 in descending order.\nAnswer: f, 1\/3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 36838850*x - 67855043466125.\nAnswer: -5*(x - 3683885)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2646)\/(-105))\/(-21)*(-9)\/(-513)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/24)\/((-23385)\/(-405) + -58).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-1)\/(-4). Let z(s) = -s**2 + 5*s. Let p be z(3). Suppose 5*f + 31 = p. Which is the third smallest value? (a) l (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.5, -3088?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065 < 11000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 157*o**2 + 22*o - 1054. Let w be t(157). Solve u - w + 2401 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-51))\/((-6)\/((-108)\/2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 52. Suppose 9*a - 3*a - 12 = m. Solve -5*i = 17 - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -160, -1\/3, 585, 1, 1\/2?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1470 and 23\/140?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 155 = 181. Let s = 128 - a. Let v = -6 - -22. Calculate the highest common divisor of v and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863 divided by -10.\nAnswer: -863\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.06 (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7\/a)**(-38))**(1\/16) assuming a is positive.\nAnswer: a**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 5*t**3 + t**2 + 2*t**3 + 20. What is the lowest common multiple of 10 and g(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1 - 5*b**2 - b + 4*b - 8 + b**2 + b**3. Calculate the remainder when u(6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -83. Let h = 36.3 - d. What is the closest to -0.1 in h, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**2 - 106*j + 444. What is s(5)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9529.493 - 9541. Let o = -0.007 - x. Let m = o + -11. Which is the biggest value? (a) 0.1 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -3*j - 1, 3*j - 3*t = 3. Which is the second biggest value? (a) -0.1 (b) -5 (c) 0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + 0)*(26\/6)\/(-13). Let q be 6\/(-2)*(1 + (-14 - -8)). Let k be 2\/4 - 7\/(-2). Sort m, k, q in decreasing order.\nAnswer: q, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 7 - 12 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/19, 5\/4, -5, -0.3, 1\/4, -0.35?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.103195 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/240 + x**5\/120 - 5*x**2. Suppose r(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/1619 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 68.03742 hours?\nAnswer: 4082.2452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7)\/(6 + -2 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*u**2 + 5*u**2 - 162*u**2.\nAnswer: -260*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (9 + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))**2 + 3.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140805, -281602, -422399, -563196, -703993?\nAnswer: -844790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from yynydndnynndnnddddyd?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375*(-396)\/123750*5\/(3*-1*-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5123 - 2839. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 8:39 PM?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let z be k + -2 + 2 + 1. Let y = z + 13. What is the remainder when 44 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*n**3*v + 2*n**3 + 10*n**2*v + 150*n wrt v?\nAnswer: -6*n**3 + 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let n be 3\/(-2 + 5)*m. Suppose n = -3*w - 0*w + 24. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*a + 13*a**5 - 39*a + 27*a**2 wrt a.\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -315035, -315084, -315133, -315182?\n\"Answer: -49*w - 314986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246536 and 160?\nAnswer: 4930720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1738236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 488 = 0. Let c = -42 + n. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 1\/23 (d) 7880598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j - 175. Let g be k(-12). Solve -4*u = -2*t - g*u + 7, -t + 2 = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 + 3*b**2)*(-3 + 4 + 0) + (0*b + 0*b + b)*(2*b + b - 4*b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 57*t**2 + 12*t + 24. Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (-4 - -4) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(30)\/(sqrt(10)*-2) + (1 + sqrt(432))**2)*-2 - -5*(1 + (sqrt(3) - (4*sqrt(12))**2))) + 3.\nAnswer: -1819 - 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21000 - -201323?\nAnswer: 222323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 15*h + 2. Suppose 699 = 11*y + 105. Suppose -4*c + 3*k + y = 0, 3*c - k = 4 + 39. Give u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*w = 3*x - 6, 4*x - 15 = 5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -312?\nAnswer: -11\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*x - 26, 3*h = 3*x - 2 - 4. Suppose -2*v - 40 = -4*v. Calculate the highest common factor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1 (b) -4\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139109 or -139108?\nAnswer: -139108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21.7 (b) 17 (c) 1\/18 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, h: 1, u: 5}. What is prob of sequence phu?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -82?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -8 (c) 1\/7 (d) 3 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)\/o**(-5))**(5\/9)\/(o*(o*o*o**(1\/4))\/o*o**(-4\/7)*o*o**4*o**(5\/4)) assuming o is positive.\nAnswer: o**(-1403\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102279\/26 - 3936. Calculate the common denominator of c and -1\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 363593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 63*i**3 - 41 - 64*i**3 - 70*i**3 + 45 + 192*i**3.\nAnswer: -5*i**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 25*r**2 - 5*r + 23. Let a be v(24). Let u = 937\/2 - a. Calculate the common denominator of u and 9\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p + 2*p**2 - 1 + 5*p + 15*p)*(5 - 3 - 3 + (3 - 4 + 2)*(-1 + 0 - 1) - 1 + 1 + 1).\nAnswer: -4*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 12 + 10 = -5*l + 7*l - c, 20*l - 2*c - 22 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/(f*f*f**(1\/3)))\/(f**(-2\/5)\/f)**46*(f**1*f*f*f)**(6\/13)\/(f**(2\/11)*f*f*f**6) assuming f is positive.\nAnswer: f**(132413\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429667854?\nAnswer: 2, 3, 7, 11, 59, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {b: 1, w: 2, a: 1, p: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let c(m) be the first derivative of -m**2 + m + 9. Let j be c(-1). Let q(n) = 1 - j + 2 - 14*n. What is q(o(u))?\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 36, 27, 0, -51, -132, -249, -408?\n\"Answer: -x**3 + 10*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*u - 158 - 502 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2*(1034\/518 - 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*g - 11 + 37 = 0, -5*g = 3*d + 22. Suppose -n = -2*n - 3. Let c = n - -6. Sort 2, c, d.\nAnswer: d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 984315940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4781 divided by 113744\nAnswer: -4781\/113744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684*y**2 + 5826*y + 682*y**2 + 679*y**2 - 2056*y**2.\nAnswer: -11*y**2 + 5826*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 468716 and 468715 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12 - 0 - 0)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -j - j, 2*j + 18 = -2*d. Let f = -65 - -67.7. Let v = f - -0.3. Which is the nearest to v? (a) 1 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 6. Let x(m) = m**3 - 6*m**2 - 5*m - 8. Let q be x(7). Let l be d(q). Put 5, l, 2\/9 in descending order.\nAnswer: 5, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + 1)\/(0 + 2). Suppose -d*h + 3 + 67 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.26. Let o = -7336\/3 - -2420. Let h = o - -982\/39. What is the third biggest value in -2, t, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -7.92. Let t = p + 1.080285. What is t rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 54, -9?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhhfffh. What is prob of picking 2 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*o = -32, -6*o - 5 = -d - o. Solve 0*p + d = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -50 + -5 + (2 - -9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -22.2. Let a = -0.213 + z. Let r = -0.013086 - a. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 56 - 52 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 37*p**2 - 60*p - 48. What are the prime factors of x(5)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556692 and 552.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 20*j = -230. Suppose -r - 63 = -471. Suppose -4*u = -j*u + r. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30421 (base 9) in base 3?\nAnswer: -1000110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/9 (c) -20 (d) -4\/7 (e) 0 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 94 (b) -1.175 (c) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a + 110*a + 51 = 4*h, 3*a = -3*h + 39. Solve 0 = -29*z - h - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 133 + 107. Solve 0 = b - 27 + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a - 35 = 0. Let h be a\/(-5) + 9\/15. Solve -4*i + h*k = -2*i - 8, 0 = k + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102276 is divided by 34082?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306597 and 138.\nAnswer: 14103462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.139 - -0.079. Let j = -1.36 - h. Which is greater: 1\/5 or j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 4*b**2 - 3*b**2 + (7*b + 8 - 8)*(-2*b - 1 + 1).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 + 695 = 8*f. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2026?\nAnswer: -405.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177*-0.187.\nAnswer: 33.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*3*(-3)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 10. Let b = -22 - -29. Let c be j(b). Let n(d) = -d**3 + 7*d**2 - 2*d. Let h be n(6). What is the highest common divisor of h and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -98, -82, -48, 10, 98?\n\"Answer: u**3 - 3*u - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1272601 (base 8) to base 16\nAnswer: 57581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(7\/(-5) + 1). Suppose 3*x = -5*c + 58, 13 = -x - 3*c + b. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 + 5*k**2 - 4*k**2)*(-2*k + 4*k + k + k + k - 4*k + (4 + k - 4)*(2 + 0 + 0) + 0 + 0 + 2*k)*(2*k + 8 + 3 - 10).\nAnswer: 80*k**4 + 40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 9*s. Let y be o(5). Let k = -21 - y. Let g = 2 - -1. Sort k, g, -5 in decreasing order.\nAnswer: g, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-8)\/16*(-1)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48411074 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0, -0.1, -6\/79?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + x + 13 = 3*o, 5*o = x + 40. Let r(n) = n**3 + 5*n**2 + 2*n - 5. What is the smallest common multiple of r(-4) and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224, 854, 1910, 3398, 5324, 7694, 10514?\n\"Answer: l**3 + 207*l**2 + 2*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -84*h - 3. Let y(x) = -2*x**2. Calculate y(p(v)).\nAnswer: -14112*v**2 - 1008*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1839, 1547, 1255, 963?\n\"Answer: -292*q + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 275, 990, 2387, 4694, 8139?\n\"Answer: 38*a**3 - a**2 - 2*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.56 + 2. Let n = -1.46 - a. Which is bigger: n or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 7:15 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3*t + 1. Let v be y(-2). Let m = v + 4. Suppose -m = 2*p - 1, -4*s - p + 15 = 0. Let l(z) = -z**3 + 4*z**2 + z - 2. Give l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.2, 0.3, -4, 0.57, 0?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-9 - (-4 - -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jls when three letters picked without replacement from sppjgspjpppplpq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.2. Let l = -197530\/93 - -2124. Let r = 35\/186 - l. What is the biggest value in r, -4\/7, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 4*n**2 - 4*n + 6. Let f be m(3). Let s be f\/90*(-6)\/56. Are 1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5))\/n*n)**(-11\/2)*n**4\/(n**3*n)*(n*n**(-6)*n\/n**(3\/5))\/(n**(4\/3)\/(n*n*n*n\/n**(-2\/11))) assuming n is positive.\nAnswer: n**(-1667\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/3)\/((-7)\/3 - -2). What is the highest common factor of i and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 3 (c) 5 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -329*q**4 - 148*q**3 - 32*q**2 + 2003088*q + 5 wrt q?\nAnswer: -3948*q**2 - 888*q - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 85 - (1\/(-1) - -4). Suppose 17 - p = b. Let j = b - -358. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1077 + 1077 + 26*k)*(-1 + 2*k**2 - 2*k + 2*k)*(-51 + 102 - k - 55) to the form h*k**3 + n + i*k**4 + w*k + f*k**2 and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(605\/(-12)))\/((-24)\/1200*15).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1380293\/4831050 + 1\/690150. Factor y*i**4 - 46\/7 - 40\/7*i**3 - 132\/7*i**2 - 136\/7*i.\nAnswer: 2*(i - 23)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -1 (c) -2\/7 (d) 0.08 (e) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5212 (base 6) in base 4?\nAnswer: -102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 652 (base 7) to base 13\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzazhtztrlrtz. What is prob of picking 1 z and 1 a?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/25 - 4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29597\/(-59194))\/(-13*1\/(-2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from {y: 11, s: 1, c: 7}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*q - 8\/9*q**2 + 0 + 10\/9*q**3 - 4\/9*q**4 = 0. Calculate q.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/j)**(-18)\/((j\/(j*j**(19\/5)))\/(j\/j**(6\/11))) assuming j is positive.\nAnswer: j**(10134\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c**2 + 38. Calculate r(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0423*-1.2\nAnswer: 0.05076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67233757?\nAnswer: 113, 594989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 19. Suppose a = n + 3*n. Let x = -1 + n. Solve -g + 0 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*u - 44, 16*u - 36 = 7*u + 7*u + 2*t for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -9358 - 12392. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 25*i**2 - 2912*i + 52955. Give n(19).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0 + 18\/7*y**3 + 2\/7*y**4 - 6*y**2 + 22\/7*y = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14\/s**(-40))**27 assuming s is positive.\nAnswer: s**1458","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36925601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 11*t. Suppose t = -2*k + 4*n - 62, 4*n + 0*n - 104 = 4*k. Is 7 a factor of (-28)\/(-3) - 14\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/8 in -3, -2\/295, 1\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 - 795*q - 116040. What is w(166)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 7*a**2 + 8*a + 1. Give j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1428 and 28\/15?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/7882477 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-6 - -3)\/1. Suppose v = 4*a - 4*i + 216, 2*a - 6*a - 3*i = 188. Is 8 a factor of ((-18)\/5)\/(15\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433687149.\nAnswer: 2433687149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 4, t: 5, g: 4}. Give prob of sequence ghh.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 801992 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times 0.08?\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23629?\nAnswer: 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*h + 491 = 0, -4*a - h + 3*h + 1946 = 0. List the prime factors of a.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.24703 days in microseconds?\nAnswer: 4773343392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(4\/9))\/o)\/(o\/o**2)*o\/(o*o\/o**(-1)*o)*o**(-4\/5)*((o*((o\/(o\/(o\/(o**1\/o)*o)))\/o)\/o)\/o**(-3\/4))**49 assuming o is positive.\nAnswer: o**(15011\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x - 3. Is 4\/3 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 19}. What is prob of picking 2 r and 1 j?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 12 = -23*a - 5*d, -3*a + 2*d - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -426*x**3 - 6838*x**2 - 350*x + 60. Determine n(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8359408?\nAnswer: 2, 41, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/6 + 73*r - 12740\/3 = 0.\nAnswer: -490, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)*h\/h**(2\/25)*(h**20\/h)\/(h**(2\/39)\/h) assuming h is positive.\nAnswer: h**(19697\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = 3*c - 30, 8 = 4*x - 4*c. Let r(h) be the first derivative of -2*h**2 - 5 + 1\/3*h**3 - x*h. What is r(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -37. Suppose -z = -2*z + u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:34 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 5, c: 9}. What is prob of sequence cccw?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 10, 19, 30, 43?\n\"Answer: n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + x - 2*x)*(-5 + 11 + 5) + x - 2 - 2 + x)*(3*x + 4*x - 2*x).\nAnswer: 120*x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/32 and -27\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/(-1))\/3 + -2. Let s be v\/(-3)*(-519 + -6). Round s to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27367 is divided by 130.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*l - 6569*f + 322671*l wrt f.\nAnswer: 2*l - 6569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -19*k**6\/120 - k**5\/30 + k**4\/12 + 23*k**2. Let b be z(-2). Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1.2\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -6 + w**3 - 1\/2*w**4 + 0*w + 0*w**2. What is the third derivative of n(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54473 (base 15) to base 11.\nAnswer: -173093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (3 + -2)*1. Suppose z*h + 2*h - 15 = 0. Sort 2\/9, h, -0.2.\nAnswer: -0.2, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 3:56 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 6*m + 12*m - 6*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glfg. What is prob of picking 2 g and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*h - 30, -2*h = -q - 9 + 18. Suppose -5*f - 39 = 11. Let m be q + -3 + (-4)\/f. Is m >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + 4\/3. Let u be (-1 - 4)*(-2 + t). Let q = 38 - 265\/7. Which is the smallest value? (a) 2\/5 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/12*p**4 - 6*p**2 + 0*p**6 + 0*p**5 + 0*p**3 - 1\/70*p**7 + 0 + 0*p. What is the second derivative of g(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 31. Let b be v(-12). Let t = b + -14. Suppose 0 = -3*n - t*n - 102. Is n greater than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11524945009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-14 - -8 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 5*f**2 - 23\/2*f + 1\/2*f**3.\nAnswer: (f - 1)**2*(f + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 3 - (sqrt(396) + sqrt(396)*3))**2.\nAnswer: -102*sqrt(11) + 3188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -950551 divided by -6?\nAnswer: 950551\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50\/13 (b) 3\/5 (c) 2 (d) -1.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodsgdgdododgodddd. Give prob of sequence odo.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -19) + (-22 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {i: 1, l: 4, j: 1, s: 11}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 4, y: 2, j: 3}. Give prob of sequence yjy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/11 - 218552244*y\/11 - 5970635419679442\/11 = 0.\nAnswer: -54638061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 16. Suppose 4 = 3*o - 2*o, 5*o - 14 = a*c. Suppose -5 = c*q - 13. Solve -v = -h - 0 + 6, 26 = q*h - 5*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:31 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-1953)\/35)*4*210\/(-350).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-28 + (-8 - (-4 + 4 + 0)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1632*x + 2268*x + 2126*x.\nAnswer: 2762*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 13*j + 30. Let x be i(15). Suppose -5*d = 2*p + 13, x = -4*p + d + 3*d + 16. Let l(n) = 73*n**2 + n. List the prime factors of l(p).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 6. Let o be h(3). Suppose -2 = -a - o*j, 0 = 4*a - 2*j - 6 - 2. Factor -f**3 - 27*f + 2*f**2 - 11*f**a + 28 - 55.\nAnswer: -(f + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4 + 3684*h**3 + 1123569*h**2 - 4571952*h - 5691840 = 0.\nAnswer: -616, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13197 + -13189. Solve 0 = -2*o + d, -4*o + 31*d - 28*d - x = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 244, 2, -5 in increasing order.\nAnswer: -5, 2, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-28)*5530\/(-86900)*(-5)\/2*-2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**5\/60 + n**4\/8 - 5*n**3\/3 + 11*n**2. Let d be k(3). Let u(l) = -3*l + 9*l - d*l. Let g(r) = 18*r**2. What is g(u(h))?\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17623801 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142243 (base 6) in base 3?\nAnswer: -10001111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866, 865, 864, 863, 862, 861?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, -1, -6 in increasing order.\nAnswer: -45, -6, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/(-900) - (-15394652)\/25 - (4 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + -2 + 1. Let u = 5.7 - 5.3. Let h = u + -0.4. Which is the biggest value? (a) i (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 22*u**2\/7 - 20*u\/7.\nAnswer: -2*u*(u - 10)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 3, s: 6, c: 1}. Give prob of sequence cbsb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182135, -182138, -182143, -182150, -182159?\nAnswer: -182170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13599734 and 3056120?\nAnswer: 271994680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27441052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + l**2 + 2*l + 1. What is t(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422370*l - 211188*l - 211184*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105833*a + 105889*a = -1064 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + -2 + 10 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 22*p + 4. Suppose 113 = 9*w - 76. Suppose 0 = -10*t + 7*t + w. List the prime factors of u(t).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1989 divided by -1\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = -3*s + 29*a - 9, -2*s - 14*a + 15*a = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 12*v**2 - 53*v - 10. Let f be m(-15). Suppose -3*i + 66 = k, 5*i - f = -9*k + 6*k. What is the nearest to -2\/7 in -1\/5, i, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:16 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + -307. Let x = -329 - l. Is x at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + s + s + 20 = 0, s - 16 = -4*z. Suppose z*w - 44 = 5*k + 30, 4*w + 5*k - 54 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, i: 2, o: 1, r: 1, g: 2}. Give prob of picking 1 i, 1 u, and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 4, -25, -2 in decreasing order.\nAnswer: 4, -1, -2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)\/(c*c\/c**(-12\/7)) assuming c is positive.\nAnswer: c**(-92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 5*x**2 - 3*x. Let y be m(4). Let c be (-2)\/(-8) + (-57)\/y. Let o = 5 + -7. Is c < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309865 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 120689.6 and 1.69?\nAnswer: 120687.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {x: 4, q: 1, v: 2, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ccllppcccpcc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cczc when four letters picked without replacement from zccdidcceecezcii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*l - 3*l. Let r(s) = -s**2 - 5*s - 5. Let z(t) = -t**2 - 6*t - 6. Let f(y) = l*z(y) - 7*r(y). Calculate f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54, 62, 70, 78, 86, 94?\n\"Answer: 8*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:19 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 28*g**2 + 0*g + 5*g + 9*g.\nAnswer: 28*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38321*y - 41624 = -33118*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {b: 3, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -322 + 987 + 840*x**2 + 2535 + x**4 + 2720*x + 169*x**3 - 59*x**3 + 4*x**4.\nAnswer: 5*(x + 4)**3*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdommoxmexdedxmo. Give prob of picking 2 o, 1 x, and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -107529 times 0.1028\nAnswer: -11053.9812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8748\/729)\/(12\/31)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*l - 1329, l - 342 = -8*f + 4*f. Let u = l + -325. Put u, -13, -0.5 in increasing order.\nAnswer: -13, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose -4*c - k = -4*m, -5*c + 5*m = -8*c + 37. Suppose w - 3*p - 6 = 0, 43 = c*w - 3*p + 10. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313834274.09 rounded to the nearest 100000?\nAnswer: 313800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131616 is divided by 1999.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -39, 108, 437, 1008, 1881, 3116?\nAnswer: 4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-285)\/(-855))\/((-1)\/(-42))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -7, -1\/6, -3, -18 in descending order.\nAnswer: -2\/13, -1\/6, -3, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 0)*(19*i**2 + 47*i - 5*i**2 - 12*i**2) to h*i**2 + w + v*i and give v.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7551168 to 3 decimal places.\nAnswer: -6.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s + 5. Let a(f) = 6*f + 4. Let v(w) = 5*a(w) - 4*t(w). Let m = -27 + 29. Let n(d) = -4*d - m*d - d. Calculate v(n(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 40 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 4\/7 (c) -4 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1181.53*-0.5\nAnswer: -590.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/11, -15\/7, 0.4, -172?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**4\/3 + 5*y**3\/3 - 37*y**2\/3 + 31*y\/3 - 2.\nAnswer: (y - 1)**2*(y + 3)*(7*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -72. What is the closest to -0.1 in s, -3, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26151217 + 11216783 = 36*r. Round r to the nearest ten thousand.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, a: 3, s: 1, h: 2, y: 3}. What is prob of sequence wy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.087 or 795.2?\nAnswer: 795.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013201 (base 4) in base 7?\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -20005071949361.\nAnswer: 20005071949344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2251132ml in litres?\nAnswer: 0.0002251132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yufnfwnm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let d = 1 + r. Calculate the remainder when d is divided by 4\/6*3\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161991 and 5057280?\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*o - 36*o + 7182. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1, 9, 4\/7 in decreasing order.\nAnswer: 9, 1, 4\/7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/92 and 49\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*b = 546*b + 1755 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 960329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 12:37 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:25 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 - 64 = 4*s. Let p be (s*(-6)\/24)\/((-2)\/(-4)). Let n(c) = -74 - 2*c**2 + p + 33. Let x(o) = 18*o. What is x(n(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - 4*h**3 + 0*h**3 + (-4 + h**2 + 4)*(-h - 3*h + h) + (0*h**2 + 3*h**2 - h**2)*(-h + 2*h + 5*h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1089\/7 + 156. Let s be 1\/((2*-1)\/1). Suppose i - 3*f = -i + 1, -2*f = -5*i + 8. Which is the smallest value? (a) w (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(38\/(-57)*(-69)\/(-2))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 15.47. Let s = 0.87 + m. Which is the third biggest value? (a) -0.1 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -46 + -30 + -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose -h = c - 3*c. Suppose 0*v = -c*v + 50. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-69 - -71)) + -64.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -50.9. Let h = -5.1 - c. What is the fourth smallest value in -1, -21, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3 + 1323*b**2 + 27882*b + 6888.\nAnswer: 3*(b + 28)*(b + 82)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j - 62*j + 17*j = -779100. Is j a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(2448) - (-3 + sqrt(2448) + 4)**2 - (5*(sqrt(2448)*2)**2 - sqrt(2448)))).\nAnswer: -154227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 2. Let f be h(-6). Let w = 0.26 + -0.06. Which is the third smallest value? (a) 2 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 23 + -7 + (1 + -3 - 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 489061141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9 - 14 + 470*l - 11 - 20. List the prime factors of o(3).\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {n: 1, h: 4, a: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4172.181 + 3996.32. Let p = 0.227 - 176.227. Let c = h - p. Round c to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3718215.6 to the nearest 1000.\nAnswer: -3718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 9*i + 4. Let t be c(-13). Let o = -48 + t. Solve 4 = -4*b + o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 271 = f + 2*m, 3*m - 6 = 0. Suppose -16*v - 2515 + 131 = 0. Let d = v - f. Is d != -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*l + 3762*l + 1456*l - 1456*l + 3134*l.\nAnswer: 7636*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-22 - (6 + -7)) - (-44 - -40)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*p + 1825*p - 100*p = 93672 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.027 - 3.973. Sort t, -11, 2 in descending order.\nAnswer: 2, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:14 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**3 + 7*v**2 + 7*v. Let p(g) = -g**3 - g**2 - g. Let h(y) = -375*y - 4878. Let q be h(-13). Give q*n(f) - 21*p(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2520 + 2726. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.38 - -7.92. Let d = 10.209 - c. Round d to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*a = -71 - 177, -5*b - 405 = -5*a. Let o(d) = -2*d**2 - 2*d - 2. Let f be o(-2). Is 32 a factor of b\/(-1) + 2\/f*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euuguuguuuueueue. Give prob of sequence egee.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Suppose -f = h - 5, -4*f + f + j*h - 3 = 0. Suppose -3*b - 3*m = -111, -3*b + 19 = -f*b - 5*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 + 52*x**2 + 134*x**3 + 15*x**2 - 207*x**3 + 2*x**5 wrt x.\nAnswer: -60*x**2 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5 + 6*v + 5*v**2 - 7*v - 13*v**2 - v**3. Let i(p) = p**2 + 11*p - 8. Let o be i(-11). Let h be x(o). Sort 0, -3, h in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 141*h. Let l(y) = 25*y. What is l(b(w))?\nAnswer: 3525*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 - 232101*c**4 - 13466209815*c**3 + 175088812801*c**2 - 646514551848*c + 484892180964 = 0.\nAnswer: -116057, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 63730000 to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.2 - -3.2. Let u = 18 + w. Let h = -0.3 + 0.6. Which is the nearest to -0.3? (a) h (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**3*r**2 + 3*m**2*r**2 - 11*m*r**2 - m wrt m.\nAnswer: -48*m*r**2 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*x**6 + 5*x**5 + 12*x**2 + 4.\nAnswer: 2760*x**3 + 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33950, -135618, -305066, -542294?\n\"Answer: -33890*j**2 + 2*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 - 64*s**4 - 256*s**3 - 424*s**2 - 316*s - 88 = 0. What is s?\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxfxxpwbvbxbw. Give prob of sequence wvp.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*c = -c + 36, -4*m = -2*c + 18. What is the remainder when 9 is divided by 4*1 - 12\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91426 not equal to -91426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 34 + 2. Let d be -1*-8*(-4)\/x. Let p(y) = -8*y - 8. Is 8 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -792 - -1658. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (108\/48)\/(2\/8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735 = 7*n + 8*n. Suppose -12*x = -5*x - n. Solve -x = -3*c - 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6625, 26424, 59259, 104992, 163485?\n\"Answer: -23*c**3 + 6656*c**2 - 8*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7232\/13 - -173815\/312. Let i(z) be the third derivative of -y*z**4 - 35*z**2 + 0*z + 0*z**3 - 23\/60*z**5 + 0. Find the second derivative of i(k) wrt k.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 10 - 6 - 6 + 4*z.\nAnswer: -17*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18 (b) -2 (c) 0.05 (d) -5\/2 (e) -122 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04004 smaller than 0.281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 946\/(-198) - (-4)\/(-18). Let d(l) = -28*l**3 + 6*l**2 + 18*l - 3. Is d(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + (-7 - -3 - -4) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11161, 11169, 11191, 11233, 11301, 11401?\nAnswer: 11539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3178 divided by -134\nAnswer: 1589\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 13*m - 9. Suppose 4*q - q = -6, 2*w = 3*q + 36. Let n be j(w). Let h = n - -26. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/217 and 73\/558.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3095*o + 3088*o - 7 + 0)*(-3 - 1 + 2) - 2*o + 2*o + 2*o.\nAnswer: 16*o + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z + 2*a = 10, -6 = 3*z - 5*a. Is 35*6 + z\/(2 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496018292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j - j + 8*j + 2*j**2. Let g(z) = -12*z**2. Determine u(g(m)).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 26. Let s be l(-14). Solve 3*q = q + 5*c + 5, 0 = -5*q - 2*c - s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68228*o - 1870 = 68313*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583048.\nAnswer: 2, 31, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pifpgioogoiiiis. What is prob of sequence sio?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -830*i - 3396. What are the prime factors of j(-80)?\nAnswer: 2, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 5, 4, -1 in descending order.\nAnswer: 5, 4, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1179, -2363, -3549, -4737?\nAnswer: -5927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21341 is divided by 7113.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 2, 51, -4 in decreasing order.\nAnswer: 57, 51, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 0*x - 14*x - 894 + 894.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412152*i**2 + 412151*i**2 - 3*i + 3*i - 34.\nAnswer: -i**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k, -22*k + 8*k = -3*o - 16*k - 27 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0378028 and -0.16?\nAnswer: 0.1978028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 6:04 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**3*t**2 - 241*b**3 + 45*b*t**3 + 5*b*t wrt t?\nAnswer: -18*b**3 + 270*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1.84 (b) 1 (c) -3\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4795232 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from {j: 5, q: 3, b: 3, x: 1, n: 8}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b97 - 16?\nAnswer: b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67701 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 26. Suppose -u - 29 = -n. Suppose 4*t - n + 8 = 0. Calculate the least common multiple of 4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3292029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -31441?\nAnswer: 58\/31441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 18. Let y = 39 - a. What are the prime factors of (-26)\/y*(12 + -8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + a)*(12 - 12*a - 12) + (-11*a - 5*a + 7*a)*(-a - 1 + 1).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1532 or -10732\/7?\nAnswer: -1532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/28 - 6\/8. Suppose -w = y*o + w - 8, -4*w = 3*o - 13. Let z = -0.05 - 2.95. Sort z, 0, o.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwb. Give prob of picking 1 b and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 891751, 1783503, 2675255, 3567007?\n\"Answer: 891752*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/((-135)\/4)*(-15)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*3*-1. Suppose -7 = c*d - 41. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, -688, 0.5 in ascending order.\nAnswer: -688, 0.5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by -337?\nAnswer: 73\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 3)\/20 + -7 + 8. Which is the closest to -2\/7? (a) 2 (b) -0.3 (c) -0.1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 3*n + 13, 2*t + 2*n + 2 = 0. Let k be (6\/4)\/(t\/(-4)). Solve -g + k*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2673744 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41818, -334086, -1127258, -2671786, -5218122, -9016718, -14318026, -21372498?\n\"Answer: -41742*x**3 - 74*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - d + 15, -a + 2*d = -2*a. Let m = 2 - a. Let h be (-3 - m)\/1 + -1. Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let c(w) = 14564298*w. Give c(m(o)).\nAnswer: 29128596*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 105. Let h(x) = 5*x**2 + 5. What is h(f(d))?\nAnswer: 125*d**2 - 5250*d + 55130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/14393 and 43\/333.\nAnswer: 129537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -648, 0.064 in decreasing order.\nAnswer: 1, 0.064, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650290?\nAnswer: 2, 3, 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 7*i - 13. Let j(f) = -2*f**2 + 14*f + 26. Let t(p) = 6*j(p) + 11*m(p). Let l be t(10). Let b = 35 + l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -785403178*z**2 + 275788257*z?\nAnswer: -1570806356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 190 = 116. Calculate the common denominator of 56\/(-18)*15\/(-8) and 338\/g + (-2)\/(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 590605.\nAnswer: 4\/590605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + i + 1. Suppose -5*j = 19 - 29. Let a be x(j). Let c be a\/(-3) - 3*(-1)\/(-1). What is c rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**8\/448 + n**6\/360 + 5*n**4\/8 - n**2. Let c(z) be the second derivative of j(z). Find the second derivative of c(v) wrt v.\nAnswer: 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/798 and 151\/1050?\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108582071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1\/(-2 + 6)). Let l be 3 - ((-36)\/w - 2). Determine t, given that -1\/4*t - l + 3\/4*t**2 - 1\/4*t**4 + 1\/4*t**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 15*q**2 + 14 - 105 + 63 + 14.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 150 = 41*o. Let r = -7 + 15. Is r at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29326 by 75.\nAnswer: 29326\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4237.\nAnswer: 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*z + 18*z**2 + 30 - 220*z + 20*z**2 - 33 - 4*z**3 + 2*z**3 in the form v + s*z**2 + n*z**3 + g*z and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - -7) + 44\/(-2). Round z to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 818*z**2 - 4118*z - 9. Determine s(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a - 4. Let c be f(-7). Suppose -o + 24 = 4*v, -c*v + 4*o = -0*o + 1. What is the derivative of v*w**4 - 2*w**4 + 0 + 1 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20323902 is divided by 18801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 - 9*n. Let y be s(-8). Solve y*j = -45 + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a4 - 5?\nAnswer: 39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -169*f**2\/2 + 39*f - 9\/2 = 0.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:15 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24403115 (base 8) to base 15\nAnswer: 712b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 96*g + 573. Determine q(-5).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l**4 - 20*l**2 + 6*l + 12*l**2 + 9*l**2 - 96*l**3 = 0. Calculate l.\nAnswer: -6, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10942, 10936, 10920, 10888, 10834, 10752?\nAnswer: 10636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756344.9 rounded to the nearest 1000?\nAnswer: 1756000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/93 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/60 + o**3\/6 + o**2 + o. Let r(g) be the first derivative of s(g). Let v be r(-1). Solve -k = 4 - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 17. Let y be n(12). Factor 0*w + 2\/7*w**2 + 0 - 2\/7*w**3 - 2\/7*w**4 + 2\/7*w**y.\nAnswer: 2*w**2*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 26, -0.4, 0.1, 1 in increasing order.\nAnswer: -0.4, -0.3, 0.1, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*z - 5*v + 1083, 4*v = z - 228. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/160 and 35\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*f - 139, 4*o + 0*f = 4*f + 580. Let l = 95 - o. Does 5 divide (3\/6)\/((-4)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.5 (b) -3 (c) 21 (d) -2.9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.64 - -1.5. Let m = -0.06 - s. Let g = m + 0.52. What is g rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1100231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 22 - -23 - 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 8*z + 13*z - 66 + 21*z - 41*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 1208 = -4039. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4303 + 72057\nAnswer: 67754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*k - 4455 - 3298 = -844 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.02677 + 7.03. Round q to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 - -188?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 15 = -2*v, 0 = -3*v - 6*n + 9246 - 9225 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 9*t + 4. Suppose -u - 9 = -3*f + 5*f, 0 = f + 1. Let x = -1 + u. What is the units digit of w(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549*b**2 + 1549*b**2 - 25*b**3 + b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 3)\/((-2)\/(-58)). Let d = o - -29. Suppose x + 5*v = 5*x - 215, d = 3*x - 4*v - 161. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1836 - 267\/2*z - 3\/2*z**2.\nAnswer: -3*(z + 17)*(z + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 49, 44, 5, -80, -223?\n\"Answer: -2*c**3 + c**2 + 28*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -36. Suppose 0 = -4*h + 5*g + 148, 11*h - g + 74 = 13*h. Let j = h + m. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*y - n + 2, 5*y + 24 = -n. Let o(j) = -j**3 - 4*j**2 + 2. Let l = 86943 + -86907. Calculate the lowest common multiple of o(y) and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.86, 9.119 in descending order.\nAnswer: 9.119, 4, 0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/30 + 199*f**4\/12 - 134*f**3 + 2573*f**2. Factor m(d).\nAnswer: 2*(d - 2)*(d + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/9 (c) 0.041 (d) -2.2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 79*z**2 + 6*z + 4. Calculate r(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -2) + (52 - 20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(300) + 0)*-5 - sqrt(300))*-3*1*-1 + -4)*-5)**2.\nAnswer: 43200*sqrt(3) + 2430576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 132 + 156. Find the common denominator of 127\/18 and ((-145)\/r)\/((-33)\/(-44)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122021211220 (base 3) in base 11?\nAnswer: 212773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -7. Calculate the remainder when 15 + (-5)\/(f\/6) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -874, -1945, -3444, -5371, -7726?\nAnswer: -10509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdyqiji. Give prob of sequence xjiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*h**4 + 2\/7*h**2 + 2\/7*h - 2\/7*h**3 + 0.\nAnswer: -2*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-14)\/(-448))\/(2\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**2 - 28 + 275 + 35*d**4 - 23 + 0*d - 2*d + 40 wrt d.\nAnswer: 420*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 27*j**2 - 17*j - 24. Let q be g(26). What is the greatest common divisor of 84 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -13) + ((-2)\/4 - (-117)\/26)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*s + 125 = -154, 0 = 2*s. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, b: 1}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/5 in 5, 0.03, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -256 and -21360\/83 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -249, -253, -257, -261?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/161 and -3\/7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4604 = 16*r - 23116. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:17 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*g = 5, 24 = 424*k - 421*k + 4*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w**3 + 1 - 1. Let m(y) = 5*y**3 - 2*y**2. Let o(n) = 12*n - 3. Let p be o(0). Determine p*m(g) + 4*v(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 - -5.1. Let c = -2.9 + 6.5. Let x = c - p. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/24 - b**5\/4 + 10*b**3\/3 + 315*b**2. Factor u(h).\nAnswer: -5*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x - 25 = 5*y, -4*y + 112 - 132 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1 - 3 - 4*v + v**2 - 1. Let j be r(5). Suppose j*l + l = 4. Calculate the highest common divisor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 573*r + 33779. Give j(-59).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37095 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 750, 757, 822, 951, 1150, 1425, 1782, 2227?\n\"Answer: q**3 + 23*q**2 - 69*q + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8614 + 172379\/20. Calculate the common denominator of 81\/14 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*l = -44, -2*o - 99*l = -104*l - 1 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let r be (4\/(-7))\/((-4)\/(-14)). Let a(j) = j - 2. Calculate r*u(i) + a(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g - 57. Let w be v(18). Calculate the smallest common multiple of 1320\/18*(-18)\/(-15) - w and 5.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1244 - -1837?\nAnswer: 5d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.103403, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*g = 2*g + 35, -2*w + 30 = -4*g. Solve 0 = 4*z - 2*b - 24, -w*b - 6 = -z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2508081 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - (sqrt(700)*-2 + sqrt(700))) + 5 + (sqrt(99) - (sqrt(99) + sqrt(99)*-1)*2)\/(sqrt(9) - (sqrt(9) - -2*sqrt(9)*1)).\nAnswer: -9*sqrt(11)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -655 by 1.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j**2 + 3*j**2 - j)*((5 - 1 - 2)*(-j + 0*j + 3*j) + (3 + 0 - 2)*(3*j - j - 4*j) - 20 + 214*j - 428*j + 205*j).\nAnswer: -7*j**3 - 13*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a**3 + a**3 - 5*a + 3 + a. Let f be j(2). Suppose 15 = 3*s - f*m, -2*m - m = 3. Solve -2*q - 3*q - c + 5 = 0, -s*c + 20 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 55*k + 6397. Calculate c(-116).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57534)\/(-892))\/((-24)\/16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - -3 - (-1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1\/8, 4, 58, 3, 27 in decreasing order.\nAnswer: 58, 27, 4, 3, -0.01, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkdlgds. What is prob of picking 1 t and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43155 - -72203. List the prime factors of n.\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:57 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3128515*r = 3128496*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.052, 5, -4 in increasing order.\nAnswer: -4, -3\/2, 0.052, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*q + 25, -1730 = -p - q - 1737 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7040.4 * 234\nAnswer: 1647453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-42)*(-12)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - x**3 + 2*x + 4*x - 4*x - 6. Suppose -20 = 4*t, -3*a + 5*t = -49 + 12. Is z(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f**3 - f**2 - 8*f - 2. Let h = -161 + 164. What is the hundreds digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*p**3*s**2 + 3*p**3*w - p**2*s**2*w + 17*p**2*s*w + 2*p*s**2*w + 3*p wrt p?\nAnswer: -198*s**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -96*r + 1. Let j be u(-4). Let i be 2*(-1 - 22\/(-4)). Suppose -4*m - j = -i*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1667168, -3, 1 in ascending order.\nAnswer: -1667168, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 - 6*t - 3. Let j be n(-4). Solve 2*f + 3*o - 17 = 0, 2*o + o - j = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/5 + 584*c\/5 + 798 = 0. Calculate c.\nAnswer: -285, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n + 154. Let g be x(-22). Let m be (-7 + 5 + 1)*g. Solve m = -3*z - 6, 10 = r - 5*r - 5*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5081210?\nAnswer: 2, 5, 31, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 3*b**3 - 4*b**3)*(2*b - 7*b - 4*b) - b**2 + b**2 - b**4 + 2*b**2 - 2*b**4 - 2*b**2.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/12 - p**3\/6 + p**2. Let q be (63\/105)\/(3\/165). Suppose 4*f - 13 + q = 0, -3*h - 4*f = 11. Calculate l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15831 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103*q + 830 = 1105*q. What is the remainder when q is divided by 106?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:16 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70874324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 * -1.6\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 173291.25\nAnswer: -173287.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(1*sqrt(832)*3 + (sqrt(832) - (sqrt(832) + 2 + 0)))*1)**2.\nAnswer: -2880*sqrt(13) + 269668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 226661 - 113328 + 0*u**3 + 0*u**3 - 113333.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by -45787.\nAnswer: -143\/45787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let w = h + 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*k**2 + 109 + 91*k**3 + 48*k**2 + 50*k**2 wrt k.\nAnswer: 273*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:17 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 5}. What is prob of sequence rv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13541 - -13549. Solve 11*h + 4 = -p + j*h, 5*p = 5*h - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -45*w. Let i(a) be the third derivative of -11*a**4\/24 - 856*a**2. Determine -4*h(q) + 15*i(q).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13121201200210 - -3?\nAnswer: 13121201200213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*k + 262 + 267, -2*b - 4 = 0. Let p(w) = 4 + k*w - 349*w + 178*w. Determine p(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*t + 2*c, -45 = -2*t - 2*c + 15. Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4351600 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-25)*((-640)\/36)\/(-32).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 2, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:54 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -7 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 9, -4*s = 2*o - 9*s + 131 - 191 + 113 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 67*s - 66*s. Suppose -k + 14 = s, 5*k + 340 = 2*a. Is 45 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1466062 from -9.\nAnswer: -1466071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370353 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3348 + 20615\/6. Let u = j + -88. Suppose -38 = -15*q + 7. What is the second smallest value in q, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 834 + -267841?\nAnswer: -267006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 - 8100*z**2\/13 - 64704*z\/13 - 129344\/13.\nAnswer: -2*(z + 4)**2*(z + 4042)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 5, h: 2, r: 1, k: 5}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/20 + a**2. Let u(c) = 3*c**2 - 4*c. Let s(n) = -2*n**2 + 3*n. Let j(f) = 4*s(f) + 3*u(f). Give j(t(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {l: 4, q: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1109, -4 in descending order.\nAnswer: 1109, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 632?\nAnswer: 1706.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/a*a)\/a)\/a**(3\/4))**(-8\/15) assuming a is positive.\nAnswer: a**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1538 - 298 = -51*j. Calculate the smallest common multiple of j and 200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-8 - ((-1442)\/72 - -12)). Find v, given that -26\/9*v**4 - 116\/9*v**3 - 50\/9 - 170\/9*v - 212\/9*v**2 - w*v**5 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/9 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660638.4l in millilitres?\nAnswer: 660638400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.7 - -36. Let r = i + -2.8. Let y = 24 - 16. What is the third smallest value in y, -0.2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 4303?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**3 - 8421*i**2\/5 - 5058*i\/5 = 0.\nAnswer: -3\/5, 0, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 1 - 1)*(24*n + 7*n - 62*n).\nAnswer: 124*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7027 - -8996. List the prime factors of a.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - q - 2 - 3, 0 = -v + q - 3. Suppose 0*i + v = -2*i. Let u be (0 - i) + 5\/(-4). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -107*t**2 - 13*t - 1. Let m(o) = -26*o**2 - 3*o. Determine 2*l(c) - 9*m(c).\nAnswer: 20*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4774706726374\/172946168145 + -7\/278496245. Let h = -5\/621 + t. Let n = h - 142\/5. What is the fourth smallest value in -2\/3, 0.1, n, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {a: 1, t: 1, w: 2, h: 1, m: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)\/(f\/(f*f*f**(2\/7)*f*f*f)) assuming f is positive.\nAnswer: f**(157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*c + 12, 2*q - 2*c - 1 = 5. Sort -9, q, 0 in decreasing order.\nAnswer: 0, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:32 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5307273987.\nAnswer: 3, 41, 263, 359, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250981 at least 20258822\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -501684 and 79.\nAnswer: -39633036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:13 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*4\/(-5)*(-88)\/(-528).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.9. Which is the closest to 0.2? (a) -1 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*i**3 + 122*d*i**2 - 3991*i**3 + 110*i**2 wrt i?\nAnswer: 6*d - 23946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 0 in decreasing order.\nAnswer: 15, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 2*t**4 - 3*t + (-7*t**3 + 3*t**3 + 2*t**3)*(43*t - 10*t - 21*t) + 0*t**4 + 3*t**4 - t**4.\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/7))**(-2\/153)\/(w**0\/(w*w**(1\/4))) assuming w is positive.\nAnswer: w**(1769\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201314680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1943870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19068)\/(-1816)*216\/(-42)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*b, 6*b - 20 + 3 + 9 = 3*b + 3*t - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = n - 1261. Suppose p - 4*p - 4*b = -3160, -5*b = -p + n. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/1540 - 18\/99?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2980 is divided by 275?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123 + 108 - (7 + 0)) + 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 4*a**2 + 3*a**2 + 4*a**2 + 3*a. Let b(q) = q**2 + 2*q. Let v(m) = -11*b(m) + 6*x(m). Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + l**3 + 0*l**2 - 3 - 2*l**2 + l**4 to g + u*l + c*l**4 + j*l**3 + p*l**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 2, 2\/11, -27\/118, 1?\nAnswer: -27\/118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/8)\/f)\/(((f*f*f\/f**6*f*f*f)\/f)\/f*f))\/((f\/(f*f**(2\/5)*f)*f)\/f)**(4\/23) assuming f is positive.\nAnswer: f**(109\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(208) + 1*sqrt(13)*3 + 5)**2.\nAnswer: 140*sqrt(13) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 16*g - 2*g - 1008. Calculate the greatest common divisor of g and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11777*w**3 + 62*w**2 + 109352*w wrt w.\nAnswer: 70662*w + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/(-126))\/((-10)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47964\/(-999250))\/(162\/(-50)).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -6\/11, -2\/19, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 5, 1, 4, 0, -1, 3 in ascending order.\nAnswer: -171, -1, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a hour in seconds?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 57, -9, -0.5, 1 in ascending order.\nAnswer: -9, -2, -0.5, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15358482 and 1290?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8662 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/2 - 2*b**2 + 19*b. Let j(i) = i**3 - 5*i**2 - 2*i + 5. Let r be j(5). Determine o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 18 = 5*t - 5*x, -t - x + 4 = 0. What is the lowest common multiple of 4 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = 3*v. Let i be 5\/(-15) - (8\/v)\/(-4). Which is the closest to i? (a) -4 (b) -0.06 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**4 - o**3 + 1362*o**2 + 20043*o?\nAnswer: 48*o**2 - 6*o + 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (31 - (44 + -34 - (1 + 2))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*m*w**2 - 2*m + 403*w**2 + 1 wrt m.\nAnswer: -72*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 1\/5 (c) 735776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214461.6 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(14)\/sqrt(2))**2 + 1)*-6 - (5 + -1*sqrt(63))).\nAnswer: -15*sqrt(7) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19860025 = 2*t + 5*r, -6*r + 7*r = -t + 9930005. What is t rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 11. Let w(q) = 8*q - 2. Let l be w(2). Let i be y(l). Let f = 247 - i. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -642, 2, -3, -2, -65 in increasing order.\nAnswer: -642, -65, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*6)\/(3*3*sqrt(4)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.92 + 14.18. Let j = t + -24. Let k = j - 0.1. Which is the second biggest value? (a) 0 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1789\/3 in -5, -0.5, 1\/2, -26, -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -46, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(243) + (sqrt(243) + 1 + 1)**2 + (-4 + sqrt(12)\/(sqrt(4) - sqrt(36)))**2.\nAnswer: 49*sqrt(3) + 1071\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30100 + 54?\nAnswer: -30002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w + 9*w + 6*w**2 + (-2*w - 3 + 3)*(w - w + w).\nAnswer: 4*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14861 = 705*i + 7897 + 4737 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 17 - ((-64 - -130) + -72)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(75) - sqrt(75) - (sqrt(75) + -5 + sqrt(75) + 2)**2.\nAnswer: -309 + 65*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3137)\/(-5) + -2 + (-6)\/15. Let r be 33 + 2 + (12 - 22). What is the highest common divisor of r and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 11. Let q be r(13). Solve 2*x - q = 5*x - 5*l, 4*x = -l + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 - -423. What is the highest common divisor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46*(14\/7 - (-9)\/(-6)))\/(-1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -463.664 - -461. Let k = 0.664 + y. Which is the nearest to 5? (a) -5 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -18*f - 584100. What is f rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:07 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*i - 9, -4*b = 31*i - 28*i - 45. Suppose -7589 = -b*t + 2176. List the prime factors of t.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -a + 7, a = -3*a + 4*p + 20. Suppose -2*v + 3*q = -27 - 26, -4*q + 37 = a*v. What is the second derivative of 10*i**5 + v*i**5 + 3*i - i wrt i?\nAnswer: 580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/27 + (-50)\/(-5)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56691 (base 10) in base 14?\nAnswer: -16935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7672 and 1370.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 1 - 2*a**2 - 6*a**3 in the form t + g*a**2 + v*a**3 + p*a and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 186039492?\nAnswer: 2046434412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 539, -267, -1609, -3487, -5901, -8851?\n\"Answer: -268*t**2 - 2*t + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 - 3623710*p + 656563708205 = 0. Calculate p.\nAnswer: 362371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 88?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 7) to base 2\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4785402 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 11 = -q + 2*m, 2*m + 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*k + 5*k + 3*t, -2*t = -8. What is the second derivative of 4*y**k + 3*y + 4*y**5 - 2*y**5 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 - 267. Suppose 15*d - f*d = 108. Suppose -2*p = -5*p + 60. Calculate the lowest common multiple of p and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 10*y + 4*y - 67*y + 55*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021120 (base 3) in base 6?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*r = -16, -r + 18 = 5*v + r. Find the second derivative of -2*k + 178*k**2 - 178*k**v - 3*k**4 - 4*k**4 wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*q + 84*q = -27 + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8515733 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21989.9 to the nearest one hundred.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32335410.\nAnswer: 2, 3, 5, 37, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12152.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i = 30. Calculate the remainder when i is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*i = -6*i, 5*i - 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3613.3 + 3653.978. What is y rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-140)\/(-1) - (18\/(-4) - 105\/42) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -6763*p**6\/120 - p**5\/30 - 290*p**4\/3 - p**3\/3 + 6423*p**2. Find the third derivative of m(r) wrt r.\nAnswer: -40578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 - 6*s + 50. Calculate the lowest common multiple of 21 and u(8).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 590 - 28. Suppose -2*p = -548 - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85987322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88293869?\nAnswer: 17, 41, 131, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11858, -11801, -11706, -11573, -11402, -11193?\n\"Answer: 19*u**2 - 11877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*z - 1816, -m - 5*z = -198 - 182. Let l be -3 + 45 + -3 + 1. Calculate the greatest common divisor of m and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c. Let a be l(0). Suppose a = 4*m + 8, 3*m = -2*v - 0 - 6. Factor -54\/7*q**2 - 18\/7*q**4 + v*q + 54\/7*q**3 + 0 + 2\/7*q**5.\nAnswer: 2*q**2*(q - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 48549*q - 39. Let y be h(11). Round y to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/150750 and 151\/5879250.\nAnswer: 5879250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(245) + -4 - sqrt(245))*3 - sqrt(245) - (sqrt(245) + sqrt(245) + sqrt(245)*4*-3)) + 4)**2.\nAnswer: -1008*sqrt(5) + 19909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-6)\/3 - -3. Let f be ((-24)\/18)\/(z + 1). Suppose 3*u = -0*u. Are f and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1414800 and -0.0733?\nAnswer: -103704.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -87?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11210 = -42*h + 86*h + 51*h. Calculate the remainder when 476 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 28*v + 133 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -26*u**2 + 255*u + 2502. Determine n(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1679281 and 1679281 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b672 (base 14) in base 7?\nAnswer: -160502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, 2\/9, -0.0143 in descending order.\nAnswer: 7\/3, 2\/9, -0.0143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327883 - 163939 - 68*q - 163944 - 80*q.\nAnswer: -148*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7315 and -16665368.\nAnswer: -16665369.7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5\/(1 + -2). Suppose 3*d + 8 = l*d. Factor 0*w**4 - w**d + 4*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1264?\nAnswer: 505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2852857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((168\/403)\/(-42))\/((-9)\/(-117)).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, v: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18 + (14 - 747\/54). Which is smaller: 57\/62 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + 9*t - 8. Let s(k) = -k**3 + 9*k**2 - 10*k + 8. Let w(y) = -3*s(y) - 4*x(y). Let i be w(4). Solve -2*u = -i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2 + 263*y + 146. What are the prime factors of x(80)?\nAnswer: 2, 32993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 3 + z + z**3 to the form y*z + j + v*z**3 + w*z**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 35. Suppose -3 + 31 = h*w. Solve 0 = 2*z + 3*q + w, -12 = -z + 3*z - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 5 = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4 + 4 - 1 + 2 + o. Let q(j) be the second derivative of 0 - 3*j + 2*j**2 + 2\/3*j**3. Calculate -6*k(s) + 2*q(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*t**3 + t**2 - 653936*t + 15004200?\nAnswer: -12*t**2 + 2*t - 653936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 + 10*w**2 - 23. Let n(g) = -5*g**3 + 16*g**2 - 36. Let b(y) = -5*n(y) + 8*s(y). Calculate b(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/48744 and 9\/317296.\nAnswer: 1933284528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 69. Is -47 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654.372733 minus -0.0556?\nAnswer: 8654.428333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1405*x - 9823. Let o be l(-7). Solve -59*z - 3*m - o = -60*z, 5*z - 4 = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 10*h - 24940 = 0. Let b = h + 336688\/135. Do b and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1030694 and -1.5.\nAnswer: -1546041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 419735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, -2, 10984.\nAnswer: -2, 1, 42, 10984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124111\/83781 - 1\/9309. What is the common denominator of 32\/9 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251833?\nAnswer: 251833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*x = -15 + 3, 5*z - 3*x = 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2. Let s be (-24)\/(-10) - (-6)\/(-15). Suppose -5*u = -2*h - 11, 0 = s*h + h - 2*u. Let f(l) = 3*l - 3*l**h + l**2 - 3*l. Determine f(j(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**4 - k**3 + k**2 - k - 1. Let j(l) = 4*l**5 - 3*l**4 - 5*l**3 + 5*l**2 - 5*l - 5. Let g(q) = -5*i(q) + j(q). Solve g(x) = 0 for x.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 2204*j - 9346*j - 4.\nAnswer: -7142*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1489273\/96 + -15513. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 6*g + 1. Let m be w(4). Let p = -21 - m. Let n = p - -15. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b09dd1 + -2?\nAnswer: -b09dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -110 - 198. Suppose -2*n + 2 = -42. What is the greatest common divisor of n and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44641845 and 13743.\nAnswer: 4581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 95*s - 96*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -897*v - 13332. Determine b(-15).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22772\/1800 - (-43 + 56) and 27\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1031*b - 13551. Determine a(12).\nAnswer: -1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 101, 246, 391?\n\"Answer: 145*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 23*l + 4. Let h be d(20). Find the common denominator of 39\/2 and -3 + ((-40)\/h)\/(24\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*g**2 - 11*g + 186*g**2 + 2*g**3 + 23*g**4 + 81*g**2 to the form y*g**4 + r*g**2 + n*g**3 + z*g + k and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 167*q - 1007. What is t(7)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p + 2. Let q be n(-1). Let j be q*(-4)\/8 - 5. Is 15*j\/(-18) + 1842 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3213*l**2 + 2*l**3 + 171*l**2 + 21*l**3.\nAnswer: 23*l**3 + 3384*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p**2 + 37*p**3 - 67*p**3 - 29*p**3 - 62*p**3 as i + b*p**2 + z*p**3 + s*p and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/(g\/(g*g\/(g**13*g))))**19)**(-13) assuming g is positive.\nAnswer: g**2717","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1252 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*1*-6 + sqrt(140))\/sqrt(7) - ((-4*(-1 + sqrt(5) + 4))**2 + -1).\nAnswer: -106*sqrt(5) - 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/4, -647, -0.2, 7 in ascending order.\nAnswer: -647, -19\/4, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let b = -144 + 145. Calculate o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22)*j)\/(j**(-13)*j) assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 5. Let o(g) = 5*g - 6. Let u = -188 - -190. What is u*o(d) + 3*r(d)?\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mltx when four letters picked without replacement from atlaymxxlyytat.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**3 - 1746*h**2 - 1732*h**2 + 1273*h**2 + 9*h**5 + 4*h**5 - 2 + h**4 wrt h?\nAnswer: 780*h**2 + 24*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2 + 0 + -1. Let s(h) be the first derivative of -2*h**2 - 5*h - 2. Let z(f) = f + 1. Let g(o) = s(o) + 6*z(o). Determine g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = -17. Let t(b) be the first derivative of -b**3\/3 + 2*b**2 + 2*b - 2. Let s(u) be the first derivative of t(u). Determine s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -700*b**4*c - b**4 + 3730*b**3 + 4*b**2 - 1110254*b*c wrt b?\nAnswer: -16800*b*c - 24*b + 22380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.2325 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by 46.\nAnswer: 172\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 4. Determine v(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6. Let k be h(0). Let r = 3334 - 3268. Calculate the greatest common divisor of r and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94c7 (base 13) to base 9\nAnswer: 31242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -4. What is the greatest common factor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 43. Determine k so that 14*k + 3*k**3 - 8*k - 3*k**2 - u*k = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*v - 62*v + 92. Suppose -v*c - 1392 = -29*c. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 6*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 20. Let p be r(20). Suppose -2*a - 53 + 41 = p. Let d(s) = -s**3 - 6*s**2 - 2*s - 5. Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from rlooossoolyyso?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/180*74 + 2\/(-5) + 204847\/(-171138).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 18518?\nAnswer: -18516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Let z be 1\/2*2*-5. Let u = z - -8. Solve -o = l - 7, m*l + u*o = -0*o + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**3 - 1432*c**2 + 222*c + 554. What is i(110)?\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082486482 rounded to five dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, 1\/17, 0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -3)\/(10\/25). Let g = r + 20. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 36*f + 20. Let x be n(-12). Let s(h) = -h**2 + 60*h - 19. What is the units digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303557647 is divided by 2018.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**3\/3 - l**2\/2 + 2*l - 860. Let u(w) = -10*w**2 + 5*w - 11. Give -11*t(z) - 2*u(z).\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 560392*u - 13449984 = 0. Calculate u.\nAnswer: -560416, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**5\/5 + 7*q - 5. Find the first derivative of x(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755499 divided by -5?\nAnswer: 755499\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/60 + t**3\/3 - t**2. Let s(m) be the first derivative of n(m). Let h(g) = g. Give s(h(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394290?\nAnswer: 2, 3, 5, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-1210)\/77. Let a be 316\/o - (-1)\/(-4). Let f = 8 - a. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 4\/8*10. Suppose -2*x - 33 + 3 = -5*n, 2*n + m*x = 31. Suppose -4*a = 12, -5*u = -2*a + 5*a - 71. What is the highest common divisor of n and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -246, -339, -400, -429, -426?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1114.504\nAnswer: 222.9008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(114)*-3)\/((2*sqrt(1200))\/sqrt(8)) + -4.\nAnswer: -4 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7181 times 295?\nAnswer: 15256.8395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 98*n + 98*n + 9315933010846 - 9315933010846.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.096945862 - 1.76833\nAnswer: -0.671384138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 330 = 1530. Let k = -124 + o. Do k and 3\/52 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 17 + 9 - -51?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5370892839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-367*l**4 - 6998*l**4 + 7*l**3 - 3*l**3 - 4*l**3)*(4*l - 5*l - 2*l).\nAnswer: 22095*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104 + (-124805)\/1199)*(-11)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - 2a6?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 4746*k**2 + 3754086*k + 989827342.\nAnswer: 2*(k + 791)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*l = 9, -f = -3*f - 4*l - 16. Let a be ((-1)\/f)\/(3\/(-6)). Solve -5*u - 4 = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -109*p - 1. Let z(w) = -35*w**2 - 8. Let b(c) = 13*c**2 + 3. Let f(v) = 8*b(v) + 3*z(v). Give f(a(k)).\nAnswer: -11881*k**2 - 218*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.73 (b) -3 (c) -0.3 (d) -23 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (13*349)\/(-21*19\/(-399))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7856564 rounded to zero dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, -0.014 in descending order.\nAnswer: 4, -0.014, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21056, 42130, 63204, 84278?\n\"Answer: 21074*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12165360 and 126576?\nAnswer: 109488240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2. Let v(c) be the third derivative of c**6\/45 + 161*c**3\/6 + 177*c**2. Let j(b) be the first derivative of v(b). Determine m(j(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18250 divided by -146?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -1\/2*s**2 + 3\/20*s**5 + 0*s**3 + 0 + 0*s**4 - s. Differentiate o(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 1\/7, 9, -0.3, 2, 0.071 in descending order.\nAnswer: 9, 2, 1\/7, 0.071, -0.3, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2228 and 5013?\nAnswer: 20052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34241.\nAnswer: 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-36) + 3\/(-4). Solve 4*b = j + 21, -j - 5*b + 15 + w = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.060121 - 0.06. What is g rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14710 is divided by 121.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152222 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866*y - 78 = -892*y. Factor 2\/3*m - 1\/6*m**2 + 0 + 1\/6*m**4 - 2\/3*m**y.\nAnswer: m*(m - 4)*(m - 1)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-8)\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4895257 = 4895272, t + 42 = -5*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 5*c - 3. Let i be (-2 + 6)*-1 - 3. Let j(b) = -3*b**2 - 7*b + 4. Let t(s) = i*m(s) - 5*j(s). Calculate t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/17 (b) 0.16 (c) 10.3 (d) 4 (e) 0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1514 - -2?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/6 + (-184)\/24. Suppose -r - 5*i = 204, -2*i + 1106 = -5*r + 5. Is r\/q - 4\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 1)*(-2*l**4 + 2*l**4 + 3*l**4) - l**4 - l**4 + 0*l**4.\nAnswer: -29*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*y**5 - 145*y**4 - y**3 - y**2 - 421927*y wrt y.\nAnswer: 240*y**3 - 1740*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 3, h: 3, y: 3}. Give prob of picking 1 y, 1 t, and 1 g.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.79*1.1849\nAnswer: 2.120971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - -172. Let k(l) = h - l - 204. Let b(u) = -24*u. Determine k(b(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Solve -c*k = -0 - 2, 9 = -4*v + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5951\/2 + 2975. What is the fourth smallest value in t, 17.4, 7, -0.4, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/12*1)\/((-8)\/16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4449 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 2*u**2 + 2. Let w(i) = -10 + 2 + 5 - 3*i**2 - 4*i**3. Calculate 3*b(t) + 2*w(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2 - 11*h**2 + 7*h**2 + 6*h**2. Let x(i) = -i. Determine j(x(d)).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 1.29 in decreasing order.\nAnswer: 1.29, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + -3 + sqrt(242) - sqrt(242)) + 5 - ((-2 + sqrt(242))*-4 + (sqrt(242)*2 + 5 - sqrt(242)))**2) + 0.\nAnswer: -2343 + 858*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -114*c - 8297. Determine q(-76).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (1\/1)\/1. Let w be i*-4*4\/8. Is (1\/(-1))\/(w\/474) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*v**3 - 946*v + 472*v + 474*v.\nAnswer: 71*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**42\/(z**(-3\/2)*z**(-8))*z*z*z*z**(-1\/4)\/z*z*z\/(z\/((z\/(z*z**(2\/11)))\/z*z))*(z\/(z**(-2\/5)\/z))\/z**3 assuming z is positive.\nAnswer: z**(-3637\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.5. Let s = 13.01 - 13. Let p = -5.01 + s. Sort w, 0.3, p in descending order.\nAnswer: w, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -23 - 57. List the prime factors of (736\/40)\/(k\/30).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = -54 + 364. Let y(b) = b**2 - 11*b + 24. Give y(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135198985 a multiple of 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(605) - sqrt(605)*-3)*2 - ((sqrt(60) - sqrt(1500) - sqrt(60))*-5)\/(sqrt(12) + sqrt(768)\/sqrt(4) + sqrt(12))) + -3.\nAnswer: -3193*sqrt(5)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -42 + 9\/2*v**2 - 7*v - 1\/4*v**4 - v**3. Let g(y) be the first derivative of z(y). What is t in g(t) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0419953 + 0.042. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3617401223828.30999943 + 3617398197990.93. Let p = z + 3025837. Let j = -0.38 - p. What is j rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 - -8 - 15) - (3 + 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75931\/770 - -7878\/77. What is the common denominator of f and (2\/3)\/(248\/(-138))?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -2?\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 0*f + 7*f**2 + 0*f**3 - 1\/60*f**5 + 1\/12*f**4. Factor h(x).\nAnswer: -x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44296 is divided by 426?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 226*k - 123*k + 3296 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w - w + (-1 - 4 + 4)*(-2*w + 2 - 2) + 2 - 2 - w + 3 - w - 3 + w + 0*w - 7*w + w + 4 - 4.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/6 + 7*z**2\/2 - 36*z. Let p be u(-2). Sort p, 3, -1\/4, -0.03.\nAnswer: -1\/4, -0.03, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1193\/47 + 7\/141. Calculate the common denominator of (6\/(-60))\/((-6)\/244) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/43 (b) 5 (c) 10\/9 (d) -2\/15 (e) -13 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(84)\/(sqrt(120)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:47 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28918, -28927, -28938, -28951, -28966, -28983?\n\"Answer: -o**2 - 6*o - 28911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32627 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 0.6. Let w = d - -6. Let i = -2833\/15 + 189. What is the biggest value in i, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 7*b**2\/2 - 3. Let t(c) be the first derivative of 7*c**2\/2 + 1317. Give v(t(f)).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -153, -191, -253, -345?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Suppose -1885 = -2*l - h, 2*l - 1889 = -8*h + 3*h. Let j(f) = -2 + 2 + 980*f**2 - l*f**2. Calculate d(j(i)).\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccm when three letters picked without replacement from rcmrcrrrrrmrrrrrrrrc.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2180*m**3 - 2180*m**2 + 2725. Let z(n) = 4*n**2 - 5. Determine 7*a(p) + 3815*z(p).\nAnswer: -15260*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {h: 3, s: 2, z: 1, k: 3, g: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 16256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/3 - 68068*y**2 + 1735971270*y + 229543716952\/3 = 0.\nAnswer: -44, 51073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14086590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1485\/(-1680))\/3 + (-2)\/14. Sort l, -1, 2 in decreasing order.\nAnswer: 2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338\/157 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 - 3. Let b be ((-8)\/(-5))\/(-3 + 29\/10). Let n = -173\/11 - b. Is n >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 0*u**2 - 26 + 3*u**2 - 6*u**3 + 25. Let m be i(-1). Let g(s) = s - 2. Determine g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 12*n + 15. Let z be m(11). Let i(h) = z*h**2 + 3*h**2 - 4*h**2 - 1 - 2*h**2 + 4*h. What is the remainder when 59 is divided by i(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 18, 37, 62, 93?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(36\/54)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.56 * 0.0595.\nAnswer: 0.03332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) -1 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 35?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9. Let l(f) = 2*f**3 - 4*f**2 - 11*f + 1. Let a(w) = w**3 + w**2 - w - 1. Let i(j) = r*l(j) - 3*a(j). What is the units digit of i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-6*(sqrt(95)\/sqrt(5) + 5))**2 - (-5*(0 + sqrt(171)) + 5 + (1 + sqrt(171))**2).\nAnswer: 7746 + 1809*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 1299568*v**3 + 2599140*v**2.\nAnswer: -v**2*(v - 2)*(v + 1299570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 5*y + 50, 2*y = -3*b + 50. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/17 + 6*z**4\/17 - 4*z**3\/17 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.3 + -1748?\nAnswer: -1782.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -272*-11\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 466*f**2 - 28651*f - 2080. What is m(521)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.7816mm to nanometers.\nAnswer: 683781600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 1180*p - 2340 = 0 for p.\nAnswer: 2, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ztztyyzzttt?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173\/2 + -85. Let s = 3 - 3. Which is the nearest to 3? (a) 4\/5 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413373602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 278981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 + 8*a + 2. Let t be o(4). Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-13))\/(211\/2743)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. Suppose -2*q + 8 = h*q. Suppose -3*o + 2506 = q*l, 2*l + 828 = 4*o + 3334. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5891*i - 64797. Calculate m(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 20 - 17 - 9 = -31*j - 4*c, j = 5*c + 15 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14311 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 c be 2\/(-3) + 11\/3. Let r(x) = -x**2 + 0*x**2 + c*x**2. Let t(n) be the third derivative of -n**4\/24 + 2468*n**2. Determine r(t(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 19*k + 12. Let r be a(9). Sort 0, -4, r.\nAnswer: -4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = 4*c, -3*c - 7 - 2 = 0. What is the third derivative of -f*m**2 - 20*m**3 + 20*m**3 + 2*m**4 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssm. What is prob of sequence mssm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 - 36 = -17*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b**3 + 47*b**2 + 8*b - 9. Let s(g) = 19*g**3 + 96*g**2 + 14*g - 16. Calculate 4*s(a) - 7*w(a).\nAnswer: 6*a**3 + 55*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 46 = 110. Suppose g = j*f - 49*f - 27, -3*f = g - 21. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:42 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361722*x**2 - 359577*x**2 - 1024*x + 1024*x.\nAnswer: -721299*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 4 = -9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 8, b: 2, l: 2}. Give prob of sequence yp.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3045964 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*p + p - 20*p)*(2 + 5 + 20).\nAnswer: -2916*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218622*-3.901.\nAnswer: -852844.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:07 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2. Let t(y) = 67 - 37 - 32 + 5*y**2. Let m(w) = 9*w**2 - 5. Let g(d) = 2*m(d) - 5*t(d). Determine g(r(b)).\nAnswer: -252*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55.7 + 59. Let a = 3.4 - b. What is the closest to a in -1, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + t + 41307 = 0, -5*t = -112 + 122. Is a a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/129180 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*y + 34 = 4, -c = 2*y + 6. What is the second derivative of 4*t + 12*t**c + t**5 - 12*t**4 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8285?\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270816)\/1550)\/104*90\/(-42).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/3)\/(40\/(-45)))\/1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9988973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027724.244 rounded to the nearest 1000?\nAnswer: -1028000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -85742*k. Let g(u) = 3*u**2. Give g(n(p)).\nAnswer: 22055071692*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(1 - 3 + 1)*(17*h**2 + 9*h - 9*h).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 - 2*b**3 - 3*b**2 - 5*b + 2. Let a be m(-4). Let j = 15 + a. Solve u = 3*u + j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j + 5. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -422 or -3381\/8?\nAnswer: -3381\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2536, -2555, -2586, -2629, -2684, -2751?\n\"Answer: -6*b**2 - b - 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a. Let v(c) = -5*c**2 - 10*c - 2. Let s(z) = -4*d(z) + v(z). Determine s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 2*p + 9. Let o(l) = l**3 + 2. Calculate -j(s) + 3*o(s).\nAnswer: 5*s**3 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3262 greater than or equal to -3265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*s**3 - 487*s**3 - 488*s**3 - 470*s**3.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.1099 hours to seconds.\nAnswer: 3121595.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5465 + -5462. Solve 0 = q*f - 2*x, 4 = 3*f + 2*x + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/(k\/k**7)*k**(-2\/11)\/k**(-3) assuming k is positive.\nAnswer: k**(174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 + 40616*r**2\/5 + 243724*r\/5 + 324976\/5 = 0.\nAnswer: -4, -2, 40622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7354 and 47867186.\nAnswer: 47867186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 + z. Let n(y) = -10*y**3 + 6*y**2 + 8*y. Suppose -2*x + j - 15 = -0*x, 5*x - 2*j = -36. Let g be 2\/5 + 87\/145. What is g*n(i) + x*k(i)?\nAnswer: -4*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 + 8*g + 9. Let t be u(-7). Factor 6*s - 3*s**3 - 5*s**2 + 0*s**3 + 5*s**2 + 3*s**t.\nAnswer: -3*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/((u*u**10)\/u)*(u\/(u*u**(-1\/5)))\/u**(-2))**18 assuming u is positive.\nAnswer: u**(-5094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*c - 19 = -4, 0 = -4*h + c + 5. Suppose 5*y = -h*y + 10. Do 1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) - (-35)\/11. Let x be (-4738)\/(-5) + s*(-8)\/(-60). Suppose -3*p + 339 + x = 0. Calculate the highest common factor of p and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (5 + -17)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15214*h**2 - 29194*h + 29194*h to the form o + y*h + g*h**2 and give g.\nAnswer: -15214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*i + 2 + 3 = 0, -i = 2*p - 7. What is the first derivative of 0*y**4 - 4 + 1 + y**4 - p*y**4 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - q - 892 - 30, -4*y + 4*q = -928. Suppose y = 3*s - 58. Is 32 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/63*-9 - (-21909)\/(-18291) - -1.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 93436541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 69*m**4 - 1348*m**3 - 5376*m**2 - 4096*m.\nAnswer: -m*(m + 1)*(m + 4)*(m + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -3*h + 110. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(-1))\/((o\/o**(2\/3))\/(o*o**(-4))) assuming o is positive.\nAnswer: o**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30376093?\nAnswer: 11, 17, 162439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/24 + 3*l**2. Let o(c) = -3*c. Let t(p) = p. Let g(v) = -4*o(v) - 10*t(v). Determine g(d(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 14*g + 22 in the form t + l*g and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -2742, -6176, -10984, -17166?\nAnswer: -24722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - 58 - (0 - 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + 2 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*d - d + 3, -a - 3 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/((-13)\/741*12*304\/32).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361 - 234. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998568811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/625347 and 58\/82593.\nAnswer: 4377429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6148.7664 days?\nAnswer: 878.3952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**2 - 32\/3*l - 110\/3.\nAnswer: -2*(l + 5)*(l + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -2, 0, 67.\nAnswer: -2, 0, 42, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000176476935 rounded to six decimal places?\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 - -3. Let d be (81\/(2592\/(-256)))\/2. Which is the third smallest value? (a) y (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 78\/(-4). Find the common denominator of ((-18)\/y)\/(2\/55) and (-4)\/14 - ((-2151)\/693 + 4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(475) + 0)**2 + -5.\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2195*12\/2940 + 8)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + 2 + 853. Suppose l = 5*t + 3*y, 2*t + 2*t - 2*y = 662. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 364\/6 - 12\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15323\/45 + -2512\/9. Let v = 62 - p. Which is the closest to -0.2? (a) 0.3 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195458269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/405598 and -51\/10.\nAnswer: 2027990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6300 - 5?\nAnswer: -6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -49, -47, -15, 59, 187, 381?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 + 4*m + 4. Let a be c(-4). Solve -o = a*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3017, 12066, 27147, 48260, 75405, 108582, 147791?\n\"Answer: 3016*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 918247705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 700 - 603. What is the first derivative of 32*n**4 - c*n**4 - 160*n**4 + 205 wrt n?\nAnswer: -900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*j - 11*j**3 + 11*j)*(1 - 1 + 1) as g + r*j**2 + l*j + p*j**3 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5938 (base 10) to base 16\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(0 + 2) + 4. Which is the closest to g? (a) -2 (b) -4\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2615, -5, -3.\nAnswer: -5, -3, 2615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 889 - 889. Is c smaller than -562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-49578.\nAnswer: -9419.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.11, 1 in descending order.\nAnswer: 1, 0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/5 + i**4\/4 + i**3\/6 - i**2 - i. Let k(j) = -7*j**3 + 5*j**2 + j - 3. What is -3*k(g) + 5*u(g)?\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4. Let n(j) = -j**2 + 1. Let t(d) = 5*d**4 - d**4 + 3 - 3 + 3*d**2 + 2. Let m(c) = x*t(c) + 2*n(c). Find the third derivative of m(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:54 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*b - g, 5*b = -0*g + 2*g + 34. Suppose -683 - 27139 = -b*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275982457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/64 and -51\/75952?\nAnswer: 303808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**20)*n**20*n)\/(n\/n**(-4\/5))**2 assuming n is positive.\nAnswer: n**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -26.3.\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.4. Let r = 0.16 - p. Let t = -12\/25 + -27\/100. What is the second smallest value in r, 0.5, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 - 262. Let w be -1 + (14\/10 - 1). Sort 2, w, n in descending order.\nAnswer: 2, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:39 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 252985 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, 588, 2220, 4770, 8232, 12600, 17868?\n\"Answer: -z**3 + 468*z**2 - 689*z + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24202342 (base 5) to base 11\nAnswer: 144341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96*r**3 - 78 wrt r.\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9427736 to the power of 1\/2, to the nearest integer?\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7009056038 to the nearest integer?\nAnswer: 83720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a kilometer in meters?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 974319 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923737 less than 5923762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i + 15*i + 5*i + i + 10 + 31*i**4 to s*i**2 + c + f*i + a*i**4 + j*i**3 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/24 + z**3\/9 + z**2\/4 + 9. Find k, given that f(k) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 291336, 1165355, 2622052, 4661427, 7283480, 10488211, 14275620?\n\"Answer: 291339*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-11 - (-1 + -2 + 7 - 18)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/40581 or -1?\nAnswer: 1\/40581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1786.9 + 1784.9. Let f be -1 + 0 + 1 + -23. Which is the fourth biggest value? (a) k (b) 4 (c) 2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpvxvvpvvmvkpkm. Give prob of picking 1 k, 1 m, 1 v, and 1 x.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2434 + 17039\/7. What is the third smallest value in -0.037, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = -f - 8, 4*f = -5*x - 11. Let g = -42\/71 + 13\/142. Sort x, -1\/6, g, 0.2 in increasing order.\nAnswer: x, g, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 - -8) + -1 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1395?\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110*(-1)\/4*(-216)\/1350?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m - 2. Let w be x(4). What is the derivative of 48*u + 97 - 87*u + w*u + 35*u**3 wrt u?\nAnswer: 105*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 44*d - 5. Let n(v) = -22*v + 2. Let s(a) = 3*h(a) + 7*n(a). Let b(w) = w**3 + 4*w**2 + 3*w - 3. Let o be b(-3). Is s(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.21. Is 0.7 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 586*l**3 - l**2 + 2*l - 2. Let x be h(1). Suppose -u + 582 = v, 11*u - 12*u + x = 4*v. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5138026 - -5?\nAnswer: 5138032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 313*l**2 - l. Let z(g) = 5*g**3 - 624*g**2 + 2*g. What is -7*v(m) - 4*z(m)?\nAnswer: -6*m**3 + 305*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 196393?\nAnswer: 196374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v**3 + 44*v**2. Let f(k) = -19*k**3 + 22*k**2. Let o = -20 - -18. Let s(p) = o*m(p) + 5*f(p). Find the third derivative of s(j) wrt j.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*r + 12 = 0, 3*g + 3*r = -r - 4. Let j be (g - (-7 - 1))\/2. Solve -14 = 4*y + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -8707?\nAnswer: 91\/8707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -112016, -153 in ascending order.\nAnswer: -112016, -153, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (3 - -1) - 9) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-128)*5\/(135\/36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-4124)\/16)*4. Let c = d - 657. Suppose 2*l = 3*l - c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose m*w + 20 = 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -930, -1523, -1670, -1221, -26?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24131797.\nAnswer: 719, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 948, 1873, 3170, 4839, 6880?\nAnswer: 9293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = 3, -3*g - m - 15 = 0. Let k = g - -9. Suppose b = 4*p - 0*b - 12, 0 = p + 5*b - k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u**3 + 0*u + (2*u + u - 2*u)*(-4*u**2 - 3 + 3) - 2*u**3 - 2*u**2 + 4*u**2 - 3*u**2.\nAnswer: -5*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2 - (-11)\/3). Let g be -2*(2\/42)\/(3\/(-9)). What is the biggest value in 0.2, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - i - 1. Let p be h(-1). What is the second derivative of -2*w**2 - 6 - 2*w + 6 + w**p wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, l: 1, k: 1, y: 4}. What is prob of sequence kc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.786 - -0.214. Let g = b + -26. What is the nearest to -1\/2 in -5\/3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, 734 in descending order.\nAnswer: 734, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8*u**2 + 59*u**2 + 288*u**2 - 440*u**2.\nAnswer: -101*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 37*h**3 - 66*h**3 + 8 - 252*h**3 - 4*h**2 - 117*h**3. Let q be g(-6). Suppose -3*k = -q - 1384168. What is k rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*h - 21*h + 64*h + (-2*h - 2*h + 6*h)*(1 + 0 + 0) to u + s*h and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -896*b + 294. Let c(o) = -o + 7. Calculate 42*c(i) - j(i).\nAnswer: 854*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 29*a**5\/60 - 2*a**4\/3 + 28*a**2. What is the second derivative of p(f) wrt f?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - 2. Let n(f) be the first derivative of -f**4\/4 + f**3\/3 + f + 14. Let r(b) = -l(b) - 2*n(b). Find the third derivative of r(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 112021?\nAnswer: -112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-30)\/(-4))\/(6 + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2416076.16000022 - 2416076. Let k = 0.16 - i. What is k rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-22) + (-48836)\/638. Which is smaller: n or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - q - 16 + 52, -4*b + 2*q - 30 = 0. Let w(d) = -85*d + 82. What is the hundreds digit of w(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -40. Find the second derivative of -g**4 - 6*g**j + 6*g - 2*g**4 wrt g.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 3*q**2 + 2*q - 1. Let y be n(3). Suppose -4*o = -3*m - 98 - 59, -4*m = -4. Solve -13*w - o = -y*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40110\/955 + (-31 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-15))\/p*p)\/p)**(-4\/5) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 726*f + 2086. Let i(l) = -4*l**2 + 724*l + 2033. Let w(q) = 5*c(q) - 4*i(q). Find the first derivative of w(h) wrt h.\nAnswer: -8*h + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -4 + 1 + -10. Let t = -4 - n. Find the first derivative of -1 - 1 + t*j - 3*j wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n**2\/4 + 134519*n\/4 + 3273687\/2 = 0. What is n?\nAnswer: -1206\/25, 5429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35232076*h**3*m**4 + 12*h**3 + 26*h*m + 2*m**2 + 1598 wrt m.\nAnswer: -422784912*h**3*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.732418 and 0.1.\nAnswer: 3.0732418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/10 - 1 - 21*29\/(-203).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -168.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, 1 b, and 1 a when four letters picked without replacement from bvaavmvmvbta?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hww when three letters picked without replacement from {h: 3, w: 7, x: 9}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -458 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 126061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let p(f) = 2*f**2 - 4*f. Let h be p(4). Let x(c) = -16 - 23*c**2 + h. Calculate x(s(n)).\nAnswer: -207*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/((-3)\/(-12)). Suppose b*z = z + 56. Let j = -2 + 10. Calculate the highest common factor of j and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 times -764.2?\nAnswer: 68013.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 95. Suppose -223 = -3*u - 5*h + h, -5*h = m. Suppose -24 = -w + u. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11591895374 + -0.11592. What is q rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111120100120 (base 3) to base 13\nAnswer: -94740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 1102.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 18162786*o**2\/7 + 15568110*o + 163465182\/7.\nAnswer: -2*(o - 9081399)*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*q + 6, -q = -2*v - 5*q + 6. What are the prime factors of v\/(15\/20) - -113?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - c1e072?\nAnswer: -c1e070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let r be 1 + -5 - 16\/(-2). Suppose r*v + y = 7*v. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -303*g**4\/4 + 5*g**3\/3 + 4. Let f be z(-5). Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 30*f + 137. What is the hundreds digit of h(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34430055391 - 15.6?\nAnswer: -34430055406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**2 - 627314 + 627314.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4003179, 8006354, 12009529, 16012704?\n\"Answer: 4003175*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*p**2 - 4323*p - 17346.\nAnswer: -3*(p + 49)*(27*p + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (6 - 7) + 31 + 76\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 33 = -30 + 77 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 79*l - 411. Calculate the remainder when 117 is divided by z(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 47, -17.\nAnswer: -17, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 79232, 79215, 79208, 79217, 79248, 79307, 79400?\n\"Answer: t**3 - t**2 - 21*t + 79253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u - 2. Let j(t) = 8*t - 3. Let r(p) = 6*f(p) - 5*j(p). Let n be r(2). Find the second derivative of -9*s**2 + 0*s - n*s + 4*s**2 wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307, -465, -637, -823, -1023?\n\"Answer: -7*r**2 - 137*r - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5961426255197 from -0.01.\nAnswer: 5961426255196.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*a**3 + a**2 - 287*a wrt a.\nAnswer: 726*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8522881 rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, m: 6, c: 1}. Give prob of picking 1 c, 1 v, and 1 m.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -65 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12)*-3 - 1*(sqrt(24)\/sqrt(8))**2).\nAnswer: -36*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/5)\/((-4)\/(-40)). Let n be 1\/u*4*15. Solve -5*c + 3*c = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssks when four letters picked without replacement from {s: 12, k: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 smaller than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:16 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.03516905\nAnswer: -0.003516905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453631423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 3. Let m be d(6). Put 10, 2, m in decreasing order.\nAnswer: 10, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2470 (b) 1\/6 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -0.363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13937 + 36937. What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 4:31 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 9 = y, -2*y + 5*y - s = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119710.\nAnswer: 2, 5, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1510 + 1513. Solve -12*p + 15*p - l = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -135465350 and 21?\nAnswer: 135465371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 777, 2652, 6307, 12336, 21333, 33892, 50607?\n\"Answer: 99*y**3 - y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66048\/19 - 3477. Let x = 701\/171 - d. Find the common denominator of x and 10 - ((-869)\/44 + 11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -132 (b) -3\/5 (c) 16 (d) 15.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13 = 3. Let u = 7 - w. Let z(n) = -n**2 + 3*n + 2*n**u - 3 + 7. Give z(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4700 is divided by 516?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 526 (base 16) to base 9\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29095230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15133*n + 7570*n + 992*n**3 + 262*n**2 + 7565*n wrt n.\nAnswer: 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1102 and 13186.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 300039 divided by -111\nAnswer: -100013\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 + 5*t + 3. Let b be h(-6). Suppose 3*c = 2*r + 3*r - 35, 5*c = 5*r - b. Find j such that -r - 6*j**2 + 7 - 2*j**3 + 0*j**3 + 5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1304 + 1303.98. Which is smaller: u or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 9 - 9 = 0. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(1 + (sqrt(98) + 3)**2 + 2)*3*-5.\nAnswer: 2520*sqrt(2) + 6597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4) + 6\/(-4). Suppose -5*d + y - 6 = 0. Let a = 0 - d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2 (c) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160765.\nAnswer: 5, 11, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:16 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/72)\/(-52*13\/30420).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from rzrvrrrrrlzrvrzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4863*k - 55. Let f be d(-15). Round f to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14873679 divided by 1233.\nAnswer: -12063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 11) to base 13\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158712767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let q(r) = -r**2 - 2*r + 2. Let a(u) = -5*u**2 - 11*u + 11. Let b(k) = -2*a(k) + 11*q(k). Calculate b(d(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 minus 109265.52411?\nAnswer: -109265.47511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5762644777.\nAnswer: 31, 185891767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 122 = -2*d - 94, 4*b - 4 = 0. Suppose -5*i = -4*i - 9. What is the greatest common factor of d and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67112240 a multiple of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -354*t + 357*t - 5*x, -4*x - 22 = 2*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - (-7 + 1)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**2 - 5*i**2 - i**3)*(46 + 31*i + 167 - 241) as x*i**2 + q*i + f*i**3 + u*i**4 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 49*l - 315. Give h(41).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195499 or 195500?\nAnswer: 195499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.18 less than 0.1?\nAnswer: 19.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 - -198.393. Let b = -0.39300522 + j. What is b rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6551529 and 15?\nAnswer: 32757645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((sqrt(242)*2 + sqrt(242) - sqrt(242))*-6 + -1)*3*-1)**2.\nAnswer: -15682050 - 118800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s = 4*s. Suppose 4*b + o - 56 = 0, -3*b + 5*o = -s*b - 65. Solve -11*h = -6*h - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 21\/10*p**5 + 0 - 16\/21*p**7 + 4\/3*p**6 + 0*p**2 + 23\/24*p**4 - 23*p + 1\/6*p**3. Suppose s(q) = 0. What is q?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -23\/3 (c) -2 (d) -3\/16 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 39020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/17, 2\/9, -0.05?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcfhhhhnc. Give prob of picking 1 h, 1 c, 1 n, and 1 f.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*w - 2*w - 22 = 0, -2*s = -3*w - 26. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 3*f**2 + 3*f)*(5 - 2 - 4) - 73*f**2 - 62*f**2 + 11*f**2 as c*f + g*f**2 + w and give g.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 163. Put 4, -1, r in ascending order.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21979 - -21978.89. Which is the third biggest value? (a) 19 (b) w (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158904013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16759.535767 - -16918.5357. Let v = 159 - r. What is v rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -106, -9, 94, 203?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -987.3 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 467850287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133269122 is divided by 334847?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6990177 and -6990176 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -5, 7, -4, 17566 in ascending order.\nAnswer: -84, -5, -4, 7, 17566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1802 - 650. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*r = -10, 8 = -k + 5*r + 45. Let u be 1 - (0 + k\/30). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 0*m)*(13*m**2 + 7*m**2 + 5*m**2 - m**4).\nAnswer: 2*m**5 - 50*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438718 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2068863*b**3 + 189737*b**2 + 2*b wrt b?\nAnswer: -12413178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 - 60*f**2\/19 + 442*f\/19.\nAnswer: 2*f*(f - 17)*(f - 13)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(9\/48 - 0). Suppose -h - 4*s = -4*h + 22, -2*h + 3*s + b = 0. List the prime factors of (-2)\/h*-1*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.7380692 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119921529?\nAnswer: 3, 7, 13, 439273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*w = -2*m + 15, -w + 4 = 0. Let u be (-10)\/(-36) - (-1)\/(-2). Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2857 = 158*m + 41*m - 10618 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**2*h\/(h\/(h\/(h\/((h*h\/((((h\/(h\/h**(-1\/9)))\/h)\/h)\/h))\/h))))*h*h*h**13*h**12 assuming h is positive.\nAnswer: h**(307\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-6) - 3)*0. Solve 4*n + 10 + 2 = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 - 7*p - 6. Let o be b(-9). Suppose 2*i + i - f = 1208, i - o = -4*f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*o + 14, -20*o + 18*o + 2 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 11*b = a - 2, -3*b - 30 = 4*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6*i = 4*i + 458, -3*y - 3*i + 351 = 0. Let z be 1\/(-3) - 43\/(-3). What is the highest common factor of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q. Let m(c) = -53264*c**2. Give m(y(f)).\nAnswer: -9001616*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74660870.320028 and 0.4.\nAnswer: 74660870.720028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2) - (-23616)\/(-4264)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432750?\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -2, 851, 1, 107 in increasing order.\nAnswer: -2, 1, 4, 10, 107, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157002 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 10. Let i be (6\/u)\/2*-6. Solve -2*a - i = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8247)\/(-264) + (-44)\/(-352) - (-12)\/(-33)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 11 * -1.1\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, -4, 14, 5.\nAnswer: -18, -4, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-3) - (-1)\/(-3). Suppose 2 + 3 = o. Factor l**c + l**3 - o*l + 2*l**4 + 5*l.\nAnswer: l**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -10 - (23 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.66 + 1694?\nAnswer: 1387.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 - 4 = -2*u, -3*a = 2*u - 7. Let v(y) = -y**3 + 6*y + 3 - y**2 + 0*y**2 - 2*y**u. Let g = -22 - -18. Calculate v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/164475 and -3\/414950.\nAnswer: 63487350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 20*t - 9. Determine x(-18).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(425) + sqrt(425)*2 + sqrt(425)) + sqrt(425)*-1 + -3)*-1)**2*2.\nAnswer: 540*sqrt(17) + 68868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/1527?\nAnswer: -16\/1527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -0.96. Let z = s - 3. Let y be 1 + (-4 - 15\/(-5))*1. Sort 0.8, z, y.\nAnswer: z, y, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 30*m + 184. Let v be g(-6). Solve -6*h + 4*h = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -15. Let j be (0 - v\/(-1)) + 1. Let k = -35 - -39. Solve 0 = -t - 5*x - k, -5*t - 5*x + 3*x = j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-23 - -1) + -413 + 401\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -496.91667 rounded to zero dps?\nAnswer: -497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/3 + 796*b**3\/3 - 798*b**2 - 338*b. Suppose i(t) = 0. Calculate t.\nAnswer: -399, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6746 + 6745.9991607. Round r to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -9. Suppose -u - 45 = -4*d, 5*d - u = 3*u + 48. Find v, given that -d*v - 12*v**2 + 2 - 3*v**3 + 6 - s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + q + 5, -c - q = -3*c + 3. Calculate the common denominator of 107\/10 and c + (-2 - 25\/(-14)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 398 + -393. Sort i, 3, -3 in descending order.\nAnswer: i, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Is (g - 10 - 2)\/(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (60 - (-3 - -61 - 44))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 13.94. What is the third biggest value in b, -3\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -6, -1\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 831624 from 7238.\nAnswer: -824386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + v - 11. Let c be u(-4). Let p = 2 - 4. Let z be 0 - (-25 + p + 1). Calculate the greatest common divisor of z and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 491628*y**2 - 3933280*y.\nAnswer: 4*y*(y - 8)*(y + 122915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 44 + 26 + 31 + 2*p**2.\nAnswer: 2*p**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15)**(-12)*t\/((t*t**(-12))\/t)*t**(-1\/19) assuming t is positive.\nAnswer: t**(-3174\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 - -14. Let y = 1.61 + g. What is y rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let f = 5 + r. Let y = -1.992 + f. Round y to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10377049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let s(c) be the third derivative of c**4\/8 + 7*c**2. Give -4*s(r) - 6*y(r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (79 - (54 + -58)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144590 by 28918.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2 + 88*y + 952. List the prime factors of d(-25).\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 28208328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/409 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 = -2*t, 4 = -2*w - 6. Suppose 19 - 16 = 4*s + h, -2*s - t = 3*h. Factor -1\/2*i**4 + 1\/8*i - 1\/8*i**3 + 1\/2*i**s + 0.\nAnswer: -i*(i - 1)*(i + 1)*(4*i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 4*m + 8. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 25, 60, 121, 214, 345, 520?\n\"Answer: v**3 + 4*v**2 - 4*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -42*n - 961. Let p(q) = 675*q + 15381. Let c(v) = -4*p(v) - 63*u(v). Calculate c(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 15, -202*u + 201*u + 0*i - 263 = -53*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 plus -2.035865689422?\nAnswer: 41.964134310578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)**(-3\/2))**(15\/8) assuming k is positive.\nAnswer: k**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oio when three letters picked without replacement from {o: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2744582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f + 4 - 5*f**2 - 1\/6*f**3. Let s(k) be the first derivative of u(k). Calculate s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -37*h - 17. Let v(i) = i. What is c(y) + 6*v(y)?\nAnswer: -31*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t - 19. Does 16 divide o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a3d - 2?\nAnswer: 1a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t + 39*t + 83*t + 3*t**2 - 24*t.\nAnswer: 3*t**2 + 152*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(175) + 0)**2.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 32. Let j = -223\/9 - n. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 0.66. Let h = -1.76 - q. Suppose 12*f + 6*f = 72. What is the biggest value in h, -1\/3, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 41 = 4*r, 0 = -17*r + 18*r + 2*j - 14. Suppose 5*m + 10 = 0, 4*n - r*m - 77 - 91 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 44 = 7*x, 158*j - 2 = -2*x + 153*j for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s = -36*s + 102 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 21*t + 49. Calculate the remainder when p(9) is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 50*h**3 + 8*h**2 + 14*h + 14. Give d(-2).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(4\/12*-2). Let p be (-9)\/(d\/(-4)) - -8. Suppose 0*r = -p*r + 156. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031318 * -0.3.\nAnswer: -0.0093954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 9. Suppose -s + 0 = -3*b. Suppose -3*c - w + 16 = 0, -5*w + 28 + b = 5*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3.7983.\nAnswer: 11.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69129857.1 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2945\/11 + 268. Suppose 3*q + 3 = 3*p, -2*q - 2*p = -0*q - 2. Is q bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 19, -100, -20\/3?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200896 and 6?\nAnswer: 602688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2686*f + 3511 + 55581 = 0 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (2 - 10113\/1008*-478). Let g = -38325\/8 - l. Calculate the common denominator of g and 127\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -21 (b) -3 (c) 24 (d) -18\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 86 - 87 - (1 + (-4 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 4*s - 1 + 6.\nAnswer: -4*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 2. Let u be y(-4). Let b be 4 + (-2 + u - -6). Solve 2*i = -i + b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -59*j + 59*j + j**2. Let m(g) = -g - 20. Let c(t) = -t - 15. Let l(b) = 3*c(b) - 2*m(b). What is l(a(i))?\nAnswer: -i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1859082*n**2 + 4*n - 7. Let o be c(5). Suppose -120622937 = 3*i + o. Round i to the nearest 1000000.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(8\/2*32*5\/640)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.04 - 4.66. Let k = 6 + m. Let v = -0.9 - -1.9. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 582*t**4 + 2*t**3 - 380*t.\nAnswer: 6984*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (78\/(-480))\/(1*(-6)\/148). Let n = q - 47\/15. Suppose -2*f = -2*v - f + 5, 2*f = -2. Is n less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*m - 6. Which is smaller: 2\/401 or m?\nAnswer: 2\/401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 688 = -803. Suppose 0 = -5*w - 2*w + h. Suppose -70*s = -w*s + 251. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*l*r + 12*h**2*r**3 + 2*h*r**3 + 4*l*r**3 - 2*l*r**2 + 6 wrt h.\nAnswer: 2*l*r + 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695394 is divided by 1606?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -35\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 21*v - 159*v + 1127 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 560, 548, 520, 470, 392, 280, 128?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/2)*m**(4\/15) assuming m is positive.\nAnswer: m**(-97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 35*h**2 + 576*h + 1296.\nAnswer: (h - 36)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12756 and 1.2.\nAnswer: -15307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2646 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 820282.3 centuries in months?\nAnswer: 984338760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjq when three letters picked without replacement from qqjqqjqjqjjq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)*t**(-1\/2)\/t*t*(t*(t**(-3)*t*t)\/t)\/t**(1\/3))\/((t*(t*t**(-1))\/t)\/(t*((t\/t**(2\/5))\/t)\/t*t))**(-38) assuming t is positive.\nAnswer: t**(-5293\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204361880?\nAnswer: 2, 5, 5109047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1*-9 - 3. Suppose -p*x = -3*x - 12. Solve -6 = 3*v + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166e0 (base 15) to base 8.\nAnswer: 215363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 1. Let r be o(2). Suppose 6 = r*g - 13*g. Solve -g*v + 2*v = 5*d - 3, -5*d = -v - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(175) + 1 + sqrt(175) + sqrt(175) + -5 - (sqrt(175) + -1 + sqrt(175) + 0 - (sqrt(175) - (sqrt(175) - (sqrt(175) - 2*sqrt(175)*-1)))))**2.\nAnswer: -320*sqrt(7) + 2864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g - 8. Let r be t(10). Let p = 81 - 51. Suppose j - 2*j - b + 7 = 0, 4*j = -5*b + p. Is j less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 4*b**2 - 2*b**2 + 3*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7018 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 10.78 in increasing order.\nAnswer: -3, -0.1, 10.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.645 rounded to one decimal place?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/13026195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 16*t + 17*t. Let g(v) be the third derivative of t*v**4 + 0*v**5 + 1\/15*v**7 + v**3 + 0 + 0*v**6 + 0*v - 4*v**2. Differentiate g(r) wrt r.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -2. Let w = -0.4 + n. Which is the closest to 2? (a) -0.4 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3\/4 - 2031*v**2\/4 + 4059*v\/4 - 2029\/4 = 0.\nAnswer: 1, 2029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26066 + 52828 - 26762 - 7*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.4. Let i be ((-20)\/40)\/((-5)\/(-2) - 0). Put u, 6, i in increasing order.\nAnswer: i, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-50)*44\/(-1716)*-26?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11272112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 125*a**2 + 2650*a + 14045 = 0.\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*i - 14 = 1342, -4*d + 1370 = -5*i. Is (4 - 1) + d + -8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 13 = -3*m. Which is the third biggest value? (a) -64 (b) 37 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, -1\/7, 0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 3*y + 2. Suppose -n - 3*i = 9, 8*n - 5*n + 2*i + 20 = 0. Let o be p(n). Suppose -o = -5*d + 45. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -950639284, -950639283, -950639282, -950639281, -950639280, -950639279?\n\"Answer: r - 950639285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {v: 3, x: 2, b: 1, z: 7, u: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 = -t, -5*t = -0*t - 25. Suppose 2*w + j*w - 14348 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p + 8. Let i(c) = -2*c + 4 + 0*c + 2*c**3 - c**3. Let y(m) = 2*m**3 - 7*m + 13. What is p*y(g) + 7*i(g)?\nAnswer: 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 4\/257 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 119, -3, 1 in increasing order.\nAnswer: -7, -3, 1, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.37 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*(-2)\/4. Let l be 5 + (-5)\/(5\/2). Suppose g = -s + 4*o + l, -s - o = 2*o - 10. Solve 12 = -4*u + 4*m, -2*u = -3*m + s*m + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + -2 + -4 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-4))\/(2\/(-4)). Let c = -4.38 - -13. Let x = c + -8.52. Put 1\/4, 3, x, h in increasing order.\nAnswer: x, 1\/4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1358 by 4.\nAnswer: 679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18051*o**2 + 99*o. Let d(h) = 9025*h**2 - 44*h. Calculate -9*d(t) - 4*f(t).\nAnswer: -9021*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2803, 2798, 2791, 2782?\n\"Answer: -n**2 - 2*n + 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 231*s + 84. What is the hundreds digit of l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 1735\/9. What is the nearest to -1 in p, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 95 = 131 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 56 - 30) + -47?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -14. Let w(c) = 4*c**3 - c + 3*c**2 - 5*c**3 - 2 + 4 + 2*c**3. Determine w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from {u: 3, r: 2, b: 2, h: 5, w: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1539) - (-1*sqrt(1539)*2 - sqrt(1539))) + (sqrt(57)*-1*-1)\/((sqrt(3) - (sqrt(27) + sqrt(3))*-4) + sqrt(3)))**2.\nAnswer: 649*sqrt(19)\/3 + 8005735\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3487)\/(-44) + (-1)\/4 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696776.6 centuries in months?\nAnswer: 836131920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -15. Suppose -3*c + 0*c + 4*w + n = 0, 4*c = -2*w + 30. What is the highest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - 12*b - 91. Let x be n(-6). Let s = 327 + x. Is s a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/60 - s**3 + s**2\/2 - 1. Let t(l) be the second derivative of f(l). Is t(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 408.5 + 386.5. What is the second biggest value in q, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20410 (base 5) to base 9\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-276)\/230*35\/(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxfafuxn. Give prob of sequence fnf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161861 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7865\/36 - -435\/2. What is the common denominator of -2 - 116\/(-30) - 0 and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609972504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-312494\nAnswer: -312493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2472 and 327209119.\nAnswer: 327211591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j - 144*j**2 + 6 - 23*j + 317*j**2 in the form f*j**2 + m + u*j and give f.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003641961 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -91.85414983 and 82?\nAnswer: 173.85414983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*r - 265, -70 - 89 = 3*r + 77*n for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 689 + -307. Let m = i - 361.7. What is m rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in decades?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 14. Let m = 192 - 176. Give a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 406 + -168. Let c = i + -231. What is the least common multiple of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25900*y**3 - 81*y + 86 wrt y.\nAnswer: 155400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose -j*l - 24 = -2*t + 2*l, -2*l = t + 8. What is the lowest common multiple of 2 and t\/2 - (-17)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5097 - -6.411. Let k = -36 - -36.9. Let x = a - k. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -24. Does 31 divide (-34)\/(t*(-4)\/(-62) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 14 - 6. What is the least common multiple of (0 + (-2)\/4)\/((-48)\/1536) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205211 is divided by 746.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2520*v = 2518*v + 6. Put -0.3, -1, v, -0.4, -3 in increasing order.\nAnswer: -3, -1, -0.4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1127921 + -23?\nAnswer: -1127944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -358, -2, 2 in decreasing order.\nAnswer: 2, -2, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 1. Suppose -25*l = 206 - 256. Let t(a) = 3*a + 2. Give l*t(y) + 3*d(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -7\/1547866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3\/7, 7 in descending order.\nAnswer: 15, 7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4 + 1 + -3. Suppose -c*b = -b - 2. Suppose 3*s - 12 = -u, 6 = 3*u - s + 20. Sort -4, u, b in ascending order.\nAnswer: -4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147256529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 2*c**3 - 2*c**3)*(-12*c + 1171 - 1170 + 36*c).\nAnswer: 24*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12089 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 72 = -7*i. Let y = i - -43. Put y, 3, 9 in increasing order.\nAnswer: y, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v + 2 = 0, -d + 4*d - 2*v + 2 = 0. Find the second derivative of -2*n - 3*n**d - 1 + 1 + n**2 wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 3*h. Let i be (h\/(-4))\/((-5)\/10). Put i, -3, 36 in decreasing order.\nAnswer: 36, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) -20 (c) -0.98 (d) 1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let i = -8 - -10. What is the remainder when k(-3) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037492 divided by 4?\nAnswer: 259373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.299812 - -7.3. Round t to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 27, 3\/8, 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3742*s**2 + 7*s - 2. Let i be t(1). Are i and -3737 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 104 - 17 = q, -435 = -5*q + 3*u. Calculate the remainder when q is divided by (1 + -17)*-1 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1002*c**2*g - 3*c**2 - c*g - 5*g + 1485 wrt c.\nAnswer: -2004*c*g - 6*c - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0500111 + -0.05. What is d rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -358.98 and -1.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 398 - 398 + 82*i + 17*i - 794*i to the form n + q*i and give q.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.055 + 0.485. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (75 + -53 - 21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.65*0.253.\nAnswer: 0.92345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.4, 0, 0.31 in descending order.\nAnswer: 13, 0.4, 0.31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055a (base 16) in base 2?\nAnswer: -1000000010101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 6, l: 8}. Give prob of sequence ll.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -3, 36, 1\/9, 4, 396 in decreasing order.\nAnswer: 396, 36, 4, 3\/7, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0)\/(((-1050)\/(-56))\/(3\/2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2718 and 59\/380098.\nAnswer: 516553182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 278 = t, -4*r - t + 374 = t. Let v = r + -47. Let c = 75 - v. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214750?\nAnswer: 2, 5, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + x + 2, 3*x - 6 = -t. Solve -d + 4 = t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62059402*v - 6434375.\nAnswer: -62059402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 18*n - 5*n**2 - 7*n + 8*n**2 + 4*n**4 + 3*n**3 as a*n**2 + u + c*n + m*n**3 + r*n**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 551 - 915. Let h = 1496 - v. Suppose -z - h = 2*z. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*s - 259*s + 161980 = 0. What are the prime factors of s?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 43 - 143 = 0. Let z = -42 - o. Suppose 5*p - z = -3*q, 4*q - 9*q = 2*p - 27. Solve 33 = q*w + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 2\/197 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162494?\nAnswer: 2, 113, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -4154190981.\nAnswer: -4154190993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 2*p**2 + 2*p**2)*(-3010*p**2 + 1481*p**2 - 1281*p**2) in the form o + h*p**4 + u*p**3 + z*p + d*p**2 and give h.\nAnswer: -2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a96 (base 13) in base 6?\nAnswer: 211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from jksyg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3115\/6 or 519?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -114*l. Let w(v) = 24*v**2. What is w(b(s))?\nAnswer: 311904*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 18*n - 13. Calculate u(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r**3 + 8*r**2 - 24*r - 20. Let x(t) = -11*t**3 - 4*t**2 + 14*t + 11. Let k(g) = -3*i(g) - 5*x(g). Give k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171.4451 - -0.0451. Let y = 171 + f. What is the closest to y in 1, -4\/7, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100301 (base 4) to base 5.\nAnswer: -131134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53170 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126 - (1 - 1)) + 335 + -347 - (14 + -22).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)*p**0*((p\/(p*p**(-6)*p))\/p)\/((p\/p**4*p)\/p))\/(((((p\/p**(-1))\/p)\/p)\/p)**(-40)\/(p**(2\/9)\/p**(1\/3))) assuming p is positive.\nAnswer: p**(-599\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1749 and 477.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269914819 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -870*x - 221871. Calculate k(-255).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51589685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -761*s**8\/112 + s**5\/30 + 11*s**4\/12 - 873*s**2. Find the third derivative of p(b) wrt b.\nAnswer: -136980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16534933 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84.3 + -83.731. Let p = -4.431 - i. Which is the fourth biggest value? (a) p (b) -0.4 (c) -15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4 - 2*m - m + 3. Let w be 10\/35 + 2\/(-7). Suppose 20 + w = 4*q. Give x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18492294?\nAnswer: 2, 3, 17, 181297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/(-35) + 9 + -14. Which is the fourth biggest value? (a) -2\/9 (b) l (c) -0.036 (d) 0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58676729\/6244 + -65781\/7. Find the common denominator of v and 35\/48.\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 100*f. Let t(y) = 77*y**2 + 5*y - 5. Let g(j) = 110*j**2 + 7*j - 7. Let u(h) = 5*g(h) - 7*t(h). Calculate w(u(d)).\nAnswer: 1100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) -742953\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/30165313?\nAnswer: -6\/30165313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1496 + 1536.04. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 = -4*v - 1, -2*v - 2*x + 10 = 0. Let o be 1\/(-6) + (-93)\/(-18). Suppose -4*j + v*z + 60 = -0*j, -o*j = -5*z - 85. Solve -2 - j = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -7. Suppose -4*h + 24 = -g, 0*h - z = -3*h + g. What is the remainder when 23 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - n = -6*n - 27, 5*s - 3*n = 29. Suppose 2*f + 0*f = -2*j + 24, -2*f + 36 = -s*j. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2202)\/2936*-5*(-40)\/375?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-165)*162\/(-2). Let o be 30\/99*(((-6)\/1)\/(-30) - -19). Find a, given that -n*a**4 + 270\/11*a**5 - 416\/11*a + 928\/11*a**2 + o - 720\/11*a**3 = 0.\nAnswer: -2, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 287748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 159 + 23*i - 241 + 563.\nAnswer: 23*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/20)\/((-35)\/125*10)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 3601253365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599307*h + 599385*h - 3432 = 0 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 13 - (115 - 85)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggglgggl. Give prob of picking 1 l and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 24*u**2 - 49*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert be (base 16) to base 13.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/5 + 35*d**3 - 688*d**2\/5 + 684*d\/5 = 0. Calculate d.\nAnswer: 0, 2, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k. Let a(f) = -21*f - 21. Let p(w) = 20*w + 22. Let q(l) = -6*a(l) - 5*p(l). Let z(d) = 5*d + 3. Let t(u) = 3*q(u) - 16*z(u). Give v(t(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3024 greater than -3045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 12, 3*o - o = 3*u - 10. Suppose -2*d - 1 = -d. Let g be (0 + d\/42)\/((-20)\/(-15)). Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = 4*p - 123599984, 154499996 = 5*p + z. Round p to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from {z: 3, b: 3, s: 3, w: 3, g: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - j - 5, -2*c + 1 + 5 = -j. Let p = -27 + 30. Calculate the remainder when (-2)\/c + 280\/20 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*t - 1025*t + 516*t = -864 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4360238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d*m*n**2 - 1042*d*m*n - 2*d*m - d*n**2 - 7*n**2 - 62*n wrt m?\nAnswer: 4*d*n**2 - 1042*d*n - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.577 or 10.4?\nAnswer: 1.577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let q be (-86)\/(-40) - (-12)\/(-30). Let f = q - 9\/4. Is a at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 1132*r - 1138*r + 2270*r - 3*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845 = -19*m - 46*m. Solve 7*w = 12*w - n - m, 1 = -w - n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/36 and 53\/82424.\nAnswer: 741816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*5*(2 + -2 + sqrt(1331) - sqrt(1331))*5*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:48 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -12)*((15 - 2) + 88 + -102).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6)**(1\/44) assuming j is positive.\nAnswer: j**(3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 44983558*r + 2 + r**2 - 89967120*r + 44983562*r - 2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-2 - -8 - (16 + -16 + 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Suppose 5*d + b - 65 = -4*b, a = -2*d + 2*b + 10. Solve -3*i - s = -d, -5*i + 0*i - 3*s = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - 5*h**2\/2 + 3*h + 58. Let p be (-4)\/4*(-1 - 2). Let n(m) = 4 + 3 - p - 7*m + m**2. What is -5*n(o) + 7*q(o)?\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*p**3 - 2 - 295*p**2 + 295*p**2 + 30*p**3 + (p - p + p**2)*(-p - 3*p + 5*p) to the form u*p**2 + d*p + x*p**3 + a and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16213384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091 - 2046 + 456 - 2*h + 499.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3) + -10 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.42645 and -35.\nAnswer: -36.42645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097904 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4310204486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*p - 1792 - 140*p + 83*p + 9168 + (0 + 2 + 0)*(-2 + 2 - 2*p).\nAnswer: -6*p + 7376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1153, 2, 0 in decreasing order.\nAnswer: 1153, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -16. Suppose 4*b - 8 = 2*r - 0*b, -9 = 3*b. Let u be 8\/j + (-54)\/r. Solve i + i - 4 = -u*y, 2*i = 3*y - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-84)\/3)\/(-3 - -4). Let k = -8 - q. Suppose -3*y + k + 1 = 0. Solve b - 23 = -w - 4*b, b = w + y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61229 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: Solve 907*f = -3*x + 930*f - 9, -5*x = -5*f + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*r + 55, -5*s - 2*r - 2*r = -217. What is the remainder when s is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyiiy. Give prob of picking 2 i and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 217*f**2 + 0*f - 218*f**2 + 0*f. Let l(q) = 3*q - 6*q + 2*q. Give t(l(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w - 40*w - 34829 = 39*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5121 and 27837187.\nAnswer: 250534683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 363, 561, 763?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62839954 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)*-2 - (sqrt(99) + -2*(sqrt(99) + (sqrt(99) - (-2*sqrt(99) - sqrt(99))) - sqrt(99))))\/(sqrt(90)\/(-1*sqrt(810))).\nAnswer: -135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - u + 2 = -3, -3*l = 2*u. Suppose 20 = 6*g - l*g. Which is the third biggest value? (a) g (b) -2\/15 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -2*l + 2*h + 55, h - 117 = -l. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2777 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/6*366\/488?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Solve g = 4*h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013646 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -394.790099 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/164 and -20\/4879.\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49901280 and 19344.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*(-2 - (-87)\/42)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -578783\/3 at least -192928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 17\/2. Let n = 5.8 + -0.3. Let p = n - 0.5. What is the biggest value in p, d, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-15)*(-39)\/169\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*z + 33494, -25*z - 66988 = -29*z + 3*o. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1746 divided by -129\nAnswer: 582\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/20)\/(3\/(-6)). Do -7 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872410610.\nAnswer: 2, 3, 5, 277, 457, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -y - 5492, -5199 - 1666 = -5*s - y. What is the remainder when s is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(275) + -4 + sqrt(275) + -1*sqrt(275) + -2 - (-1 + sqrt(275) + -5 + -3 + sqrt(275) + -2*sqrt(275) + sqrt(275) + 1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by (15\/(-480)*8)\/((-1)\/232)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306.1507 * 9\nAnswer: 2755.3563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19297 + 19302. What is the nearest to p in 39, 4\/9, -5\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*g + 609*g + 157896 = -250*g + 1580*g for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 24*s. Let h be v(-1). Let i = h - -17. Let t(y) = -y**3 - 7*y**2 - 7*y + 4. Is t(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h**2 - 14*h**2 - h**3 - 3*h + 2*h**3. List the prime factors of z(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/15*(-69)\/(-92)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 443 = 2*r + 9951, 3*r + 14259 = u. Is -4750 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 155*i**3 - 1320*i**2 + 4905*i - 5590. Let d(j) = 7*j**3 - 60*j**2 + 223*j - 254. Let y(v) = -45*d(v) + 2*w(v). Factor y(p).\nAnswer: -5*(p - 5)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -2304 (b) -4 (c) -6\/13 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2097 and 1\/282.\nAnswer: 197118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - -352. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -3099, -10484, -24859, -48552, -83891, -133204, -198819?\nAnswer: -283064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 3. Suppose 17 = -4*z - 7. Give x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 13*c - 399. What is the thousands digit of x(-66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/9 + 2824*r**4\/3 + 33772*r**3\/9 - 12232*r**2 - 338048*r\/9 + 135296\/3 = 0. What is r?\nAnswer: -2114, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20707268\/3 or -6902424?\nAnswer: -20707268\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, -4, 0.5, 14, 0.2, -0.5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -500074714?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.117 - 0.117. Let p = 61.00019 - q. Round p to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457517909*m**2 - 5*m + 84607471 wrt m?\nAnswer: 915035818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccwcgrwgrccccccw. Give prob of sequence wgrr.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539*13*41\/(-3731) + -1 + -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07824 + 0.056?\nAnswer: 0.13424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - 17*z**2 + 3. Let h(q) = -q**3 + 1. Let i(c) = -3*h(c) + t(c). What is the third derivative of i(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-3090)\/385)\/(41\/574).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.6. Let d = 0.62 - p. Let j = -0.98 - d. Which is the biggest value? (a) -5 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-4)\/((-12)\/27). Suppose -a*t - 6 = 3*b - 3*t, -5*b = -2*t + 10. Put -0.2, 2, b in ascending order.\nAnswer: b, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - -101001?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-x**2 + 0*x**2 + 0*x**2) + 1355*x**2 + 1834*x**2 + 2*x + 99*x**2.\nAnswer: 3290*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -283, -1032, -2225, -3862, -5943, -8468, -11437?\n\"Answer: -222*j**2 - 83*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 4*a**2 + 7*a**2)*(0*a - 3*a + 4*a + (0*a + a - 3*a)*(2 + 0 - 3) - 1 + 1 + 2*a - a - 2 + 2)*(0 + 0 + 1).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-1190) + (-53013)\/(-1394)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(322\/207)*(-12)\/8*68\/9?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*r**2 - 6*r**3 - 6*r**4 + 6*r**3 + 8*r**2 wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101381\/90 + -5622\/5. Calculate the common denominator of p and 5\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*o + 18 = 3*q, -89*q - 102 + 90 = -91*q + 4*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312619 is divided by 58?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 4. Determine q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.152, -0.3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1*t)**49)**10\/((t\/(t\/(t**3\/t)))\/(t\/(t**4*t)*t)*(t\/(t*t**(2\/5)*t))**(-32\/5)) assuming t is positive.\nAnswer: t**(36401\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -3*o, 0 = -2*o - 10*v + 13*v - 4. Is o less than or equal to 28\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419133 divided by 139711?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3213 by 3.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 31*d - 45. Let z(v) = v**2 - v - 1. Let h be z(4). Let r(k) = 10*k - 15. Let o(s) = h*r(s) - 4*x(s). What is the first derivative of o(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*z)*(0*z - 2*z - 2*z) as f*z + k + n*z**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*t + 81, 5*t - 63 = -2*u + 63. Suppose -41*x = -44*x + t. Calculate the remainder when 52 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9227.80732409 minus 19?\nAnswer: -9246.80732409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/198 and 79\/52?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -12. Let m = 25 + -24.7. What is the smallest value in m, b, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) 1 (c) 5 (d) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 550035.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 - 81*a**2 + 3692*a - 47475. Give v(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.3 + 42.3. Which is the second biggest value? (a) v (b) -7 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-33 - -36)*((-227892)\/(-18))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47522000 to the nearest one hundred thousand.\nAnswer: 47500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*y - 1200291, 6*s - 900242 = 3*s - y. Suppose -4*d + 55929 + s = -2*g, -3*d = 4*g - 266984. Round d to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39518 - -1d?\nAnswer: 39537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*((c**(-1)\/c)\/c)\/c))*c**(-2\/13))**(-41))**(-2\/27) assuming c is positive.\nAnswer: c**(-3362\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 - -7.1. Let h = -0.9 + 0.79. Let x = h + 0.06. Sort o, 2, x in ascending order.\nAnswer: x, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q**2 - 5 - 19*q**2 - 72*q**2 - 15*q**2 + 14*q wrt q?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21113, 84531, 190229, 338207, 528465?\nAnswer: 761003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 48\/5*y + 14*y**4 + 332\/5*y**3 - 198\/5 + 512\/5*y**2 + 4\/5*y**5 = 0?\nAnswer: -11, -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -4063.7?\nAnswer: -203.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100332 - -102?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 = -0*i. Suppose q + 5*d = 5, -4*d = 3*q + d - i. Let y(t) = -t**2 - t + 24. Calculate y(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112)*2 + -4)**2 + sqrt(112).\nAnswer: -60*sqrt(7) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745215427 to the power of 1\/3, to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/170)\/(44\/110)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -221740442, -221740441, -221740440, -221740439, -221740438?\n\"Answer: k - 221740443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10 + 4*l + l**2 - 17 + 0*l**2. Calculate c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 0, 5*v - 52 = -3*a + v. Calculate the smallest common multiple of a and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7652, 7651, 7650, 7649?\n\"Answer: -d + 7653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/973484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5539?\nAnswer: 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -15269 (b) 3\/4 (c) -0.1 (d) -0.4 (e) 9\/5 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 5:01 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 1}. What is prob of picking 1 k and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 438*h + 4. Let v be x(-3). Round v to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 - 1521 = 159*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31647 divided by 411\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 7 + (-30 - -15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/17 + 218*g\/17 + 216\/17.\nAnswer: 2*(g + 1)*(g + 108)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-85)\/34*(-2)\/5. Are -2.23 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 2 (c) 4\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25*-402\nAnswer: 10050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1186, 2418, 3692, 5008, 6366, 7766, 9208?\n\"Answer: 21*w**2 + 1169*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n + 15*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2409*-8*1\/(-24))\/(-2). Which is smaller: j or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479588.5l in millilitres?\nAnswer: 479588500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 120 = -2*a, -a - 4*i + 0*i - 36 = 0. Let d be (-2 + 3)*a\/(-13). Solve -d*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/7 + 204*x**2\/7 - 402*x\/7 + 200\/7 = 0.\nAnswer: 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110536660 divided by 257062?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3321?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222210022 + 10?\nAnswer: 222210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23000535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -18*r + 500. Solve -r = 5*a - 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0 + 8. Let j(d) = m*d + 9 - 3 - 8. Let z(g) = 3*g**2 - 2*g + 2. Let y be z(1). Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 210. What is the remainder when 2798 is divided by l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from iiipiiipipiiipiiipii.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 37428?\nAnswer: 37428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -380 (b) 9\/14 (c) 2\/1803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7997, 16012, 24017, 32006, 39973, 47912?\n\"Answer: -i**3 + i**2 + 8019*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.054 - 3.946. Let p = -48 - -19. Let u = -29.3 - p. Which is the fourth biggest value? (a) h (b) -1 (c) 2\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/47, -1\/11, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 1\/15 (c) -136 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18\/h*h)**(3\/11) assuming h is positive.\nAnswer: h**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -2. Let d = k + 6.7. Which is the second smallest value? (a) d (b) 1\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -828*c**3*m*q**2 + 9*c**3*m*q - 37*c**3*m - 92*m wrt q?\nAnswer: -1656*c**3*m*q + 9*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*s = 1694. Let j = s + -198. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705189 is divided by 569?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*g*x**2 - 5*g + 2*x**3 + 10 wrt x?\nAnswer: -50*g*x + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d**2 - d**2 - 4*d**2)*(-5*d - 11*d + 20*d) - 543*d**2 + 6*d**3 + 543*d**2 in the form x*d**3 + u*d + v + r*d**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:02 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*c**2 - 6443*c + 2486846.\nAnswer: -50*c - 6443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/5 + 108*b**2\/5 - 824*b\/5 + 384.\nAnswer: -4*(b - 16)*(b - 6)*(b - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:14 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 - 4*k + 1. Let j(p) = -p**2 + p - 1. Suppose -6 = -13*x + 41 + 5. What is x*j(n) + q(n)?\nAnswer: -n**3 - n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 2*z**2 - z**2)*(2*z**2 - 25 + 25) + 3*z**4 + 4*z**4 - 4*z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/6455?\nAnswer: 2\/6455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 + 36. Let m = 107 + d. Suppose -5*n + 2 = -2*c - 3, 5 = 5*n. What is the third biggest value in c, m, 4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 - 3*l**4 - 2*l**4 + 3*l**4 + (-4*l**5 + 3*l**5 + 3*l**5)*(1 - 5 + 5) + (4 + 3 - 6)*(l**5 + 2*l**5 - 4*l**5) + 4*l**2 - 4*l**2 - l**5.\nAnswer: -l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-402824)\/(-80) - (1 + (-28)\/40).\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 7*d**2 + 2*d - 9. Calculate the remainder when (-112)\/24*(-6)\/2 is divided by a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 213. Let r(s) be the first derivative of -5 - 2\/21*s**t + 2\/7*s**2 - 2\/7*s. Let r(a) = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 51*v + 75*v - 4530 = -11*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.545624 centuries in years?\nAnswer: 654.5624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 402. Let p(c) = -c. What is p(k(j))?\nAnswer: -3*j - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -177\/2. Which is the second smallest value? (a) -2\/3 (b) r (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 4*h**4 + 2*h**4 + 2*h**4 - h**4 - 3*h**4 + h**4 - 5*h**4 + 2*h**4 + (-3*h**4 + h**4 + h**4)*(-2 + 3 + 0))*(-4 + 4 + 3*h).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*o - 130 + 39, 5*o = b + 156. Let d be (11\/22)\/(2\/(-84)). Let g = -13 - d. What is the remainder when o is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15))**(-25)*o**(-14)*(o*o**(-9\/4))\/o*o assuming o is positive.\nAnswer: o**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492996088 to the power of 1\/2, to the nearest integer?\nAnswer: 22204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m - 73*m + 16*m)*(3 - 2*m**2 - 3).\nAnswer: 142*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3\/200 (b) 552 (c) -0.5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:45 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 3. Calculate t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2 + 3. Let q(z) be the second derivative of -z**3\/6 + z. Give q(o(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 10*i**2 - 11*i + 16. Let g be b(-11). Let y(r) = -r + 18. Determine y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1288810 and 8975?\nAnswer: 6444050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 - 7788*a**3 + 31185*a**2 - 38994*a + 15600 = 0. What is a?\nAnswer: -2600, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/4 - 9*l**3 - 81*l**2\/2 - 81*l - 243\/4.\nAnswer: -3*(l + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*o - 25 = -65, -10 = 2*s - 4*o. Let i(n) = n**2 + 2*n. Let t = 4 + -6. Let c be i(t). Solve 2*z + 3*x = 4, c = -4*z + x - s*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 156 = -n - 57, -5*n = 0. Find the first derivative of 26*s**3 - a*s**3 - 14 - 38*s**3 - 58*s**3 + 61 wrt s.\nAnswer: -309*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2\/13, -19, 0.5, 22, 2 in descending order.\nAnswer: 22, 2, 0.5, -2\/13, -19, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = 4*m. Suppose m*f + 2*f + 10 = -g, 4*f = 2*g - 16. Suppose -x = g*x. Sort x, 4, 5.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - -7 - -3) + -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let s(d) be the first derivative of -d**2 - 10. What is p(s(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.7. Let x be (-1)\/2 + 26\/68. Let g = 28\/51 - x. What is the nearest to g in -0.1, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 0 + sqrt(325)*2)*3.\nAnswer: -120*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 4054341.\nAnswer: -405434.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21022172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 4. Let p(s) = -388 + 193 + 195 - 2*s - 61*s. Determine l(p(m)).\nAnswer: -35721*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -5a04?\nAnswer: -5a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, -5, 39, -19 in descending order.\nAnswer: 39, 0, -3, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4 + b + 2*b**2 - 6)*(5*b - 3*b - b).\nAnswer: 2*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21998516 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53261933*h - 79840106 wrt h.\nAnswer: -53261933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -21. Calculate the greatest common divisor of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + d - 5. Let v(r) = 13*r**2 - 3*r + 16. Suppose 0 = -5*i + 3*g + 10, -3*g + 8 = 3*i + 2. Calculate i*v(y) + 7*x(y).\nAnswer: -2*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*u + 19, 2*a + 2 = 2*u - 0*a. Let x = 310 + -260. Suppose -u*r - x = -290. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10260467 - 69041545\nAnswer: -79302012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/111857232 and 16\/917.\nAnswer: 783000624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:02 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/4))**(-1)*(o\/(o\/(o*o\/((o*o**(1\/2)*o)\/o))))**(-5\/2) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = 117*b - 6524. Solve -b*z = -46*z - 4*s - 12, 9 = -z - 2*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 10*c**2 - 15*c - 10. Let h be p(-5). Let x be (-121499 + -1)*h\/66. What is x rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:44 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10917 or -32?\nAnswer: 10917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 291020*r + 1164048 = 0 for r.\nAnswer: -145506, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16050*t**2 - 48037*t**2 + 16061*t**2 + 15921*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q + 8. Let d be r(6). Solve d*v - 7*v = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790247767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**3 + 335*h + 8694.\nAnswer: 12*h**2 + 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82cd (base 14) in base 11?\nAnswer: 15a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 70, -5, -4\/7, -10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59353 and 2363.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) -4 (b) -38 (c) 0.5 (d) -14 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -391800\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39 - -41) + -1 + 1\/1. Let w(r) be the third derivative of 1\/60*r**4 - 1\/10*r**3 + 0 + 0*r - 3*r**f + 1\/60*r**5. Find u, given that w(u) = 0.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22375636?\nAnswer: 2, 5593909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2811 + 4382. Is 48 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 400, 407, 416, 427, 440, 455?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from cchcconpppcc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + 14*q + 9. Let a(y) = 4*y**2 + 8*y + 4. Determine 5*a(u) - 2*k(u).\nAnswer: 6*u**2 + 12*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxrqhsxhhssrxx. Give prob of sequence qhr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57924 divided by 9?\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60586293 is divided by 598?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 7\/6*d**3 - 2*d**2 + 1\/60*d**5 + 0*d**4 + 0. Differentiate z(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 819345, 0, 2 in increasing order.\nAnswer: 0, 2, 819345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1288145085 or -1?\nAnswer: 1\/1288145085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 + 3*y**2)*(-1 - 2 + 1 + (-2 - 1 + 1)*(-1 + 5 - 3) + 0 - 2 + 3) + (-4*y + 4*y - 2*y)*(y - 5*y + 3*y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*p - 2344, -2*y - 460 = -3*y + 5*p. Suppose -62*q + y = -60*q. List the prime factors of q.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111558.76 rounded to the nearest 10?\nAnswer: 111560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 1. Suppose -k = -0*k - 1. Let b be a(k). Suppose -b = -3*h + 7. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + ((-11)\/2 - -2). Let a(o) = -o - 1. Calculate a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1017 = a, 1807 + 262 = 4*f - 5*a. Suppose v + f = 11*u - 8*u, 2*v = -2. List the prime factors of u.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4210.6 + 4132.7.\nAnswer: 8343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3\/2 + 54*j**2 + 237*j\/2 - 171 = 0. What is j?\nAnswer: -3, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 20306.\nAnswer: -101530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2312 = -8*u + 4*n, -3*n - 1158 = -u. Let j be (-2*(-1)\/(-6))\/((-32)\/u). Which is smaller: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-29*2020\/(2 + -7). Suppose 5*k - c = k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -14. Suppose -g + 8 = -12. Let c = g - f. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*y + 5. Let s(d) = d - 2. Let q be s(y). Let b be 1\/((-1)\/(-1) - 12). Is b at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 804222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30143781 is divided by 15071869.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -20*v**2. Let t(n) = -42802*n**2 - 2. Give t(q(z)).\nAnswer: -17120800*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15\/z)\/(z\/z**(-5)*z)*z**(-9)\/((z**15\/z)\/z) assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w + 12. Let a(q) = -167*q**2 - q + 18. Let k be a(6). Let x be (-25)\/(w\/k*-2). Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 244258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269147 - -269147. Let u = 0.02 + 0.28. Which is the third biggest value? (a) 11 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 581.5 - 582. Which is the second smallest value? (a) s (b) 5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187041139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:02 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -4020293?\nAnswer: -4020293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 35095736?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 279\/186*(-4)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6493?\nAnswer: 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 5*v + 5*v)*(-587*v**2 - 575*v**2 + 1241*v**2 + v + 1).\nAnswer: 79*v**4 + v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*o + 8*o**3 - 118*o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:05 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let d be u + 2\/2 + -83. What is the common denominator of (-1 - -3)*d\/60 and 29\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 50. Suppose 0 = -3*v - 26 + s. Suppose -m - 5*p - 9 = 0, 3*m = 2*p - 10 - v. Which is greater: m or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 18 = -3*d + 2*s, -5*d + 2*s = -30. Let q(a) be the third derivative of -a**5\/60 + a**4\/3 - 2*a**3\/3 + 4*a**2. Calculate q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18092576 and -108555461\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let g be 78 - (k + -1 + -4). Calculate the greatest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296947\/3 + 98983. Suppose -n*f**2 - 4\/3 - 7\/3*f + 1\/3*f**3 = 0. Calculate f.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-51997236\nAnswer: 36398065.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -27801.6 to the nearest 100.\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34149, -43777, -53405, -63033?\n\"Answer: -9628*k - 24521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.519 and -5.1.\nAnswer: -10.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33494 divided by -181\nAnswer: 33494\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 18*v + 1563. Let j(r) = 10*r. Determine j(t(a)).\nAnswer: 30*a**2 - 180*a + 15630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -18931.\nAnswer: 29\/18931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 62.8127 millimeters?\nAnswer: 0.0628127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200654659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12366 divided by -6?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/105 + 4\/6. Suppose -j = -4*h + 8, 3*h + j + 5 = 4. Suppose -t - h = -0, -5*g - 2 = 2*t. Which is the biggest value? (a) l (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*(-10)\/(-20))\/(3*(-10)\/15). Solve d = -6*p - 42 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2. Let z(t) = 5*t**2. Let y(r) = -r**2. Let m(o) = 2*y(o) - z(o). What is m(j(n))?\nAnswer: -567*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109\/2*n**2 + 433\/4*n + 54 + 1\/4*n**3.\nAnswer: (n + 1)**2*(n + 216)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 100\/517.\nAnswer: -4, 100\/517, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20751 is divided by 234.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 1, t: 3, u: 13, i: 1}. Give prob of sequence fi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.86446*-0.8\nAnswer: -0.691568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40366 (base 8) in base 11?\nAnswer: -11549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 6*p + 38. Calculate the remainder when 74 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 387*l**3 - 872?\nAnswer: 1161*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1741*q**4*u**2 + 42*u**2 - 5*u wrt q?\nAnswer: -6964*q**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3378 divided by 6.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1. Let j(b) = 12*b - 4. Suppose -2669*f - 195 = -2708*f. Determine f*c(m) - j(m).\nAnswer: -12*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 + 3509 = 152*t - 2068 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22*f + 22. Let z = 26 + -38. Let x(n) = 9*n - 9. Suppose -r = 2*d + 11, -5*r - 7 + 22 = -4*d. What is d*m(i) + z*x(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.398 times 9?\nAnswer: 3234.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123342?\nAnswer: 2, 3, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78137332 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220020020 + 101?\nAnswer: -220012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - l = -1 - 22, w - l - 10 = 0. Solve 0 = 4*t - w*h - 7, 5*t + 59*h - 56*h = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 - 3275\/(-15). Suppose 2*r = g - 58. Is ((-6)\/(-15))\/(2\/r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769288, 769286, 769284?\nAnswer: 769282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**4))*g\/g**(-2)*(g\/(g*g**6*g*g))\/(g**(-6)\/g*g))**20)**(2\/45) assuming g is positive.\nAnswer: g**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2268)*-1)\/(-1*-2*sqrt(144) - sqrt(144)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 14*b - 9. Let w(v) = 4*v**2 + 15*v + 8. Let y(z) = 3*c(z) + 2*w(z). Let h be y(-11). Solve 0 = -h*n - 3*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 2304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.523958 to three dps.\nAnswer: -21.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + 0*h)*(0 - 2 + 4) + (-1 - 3 + 3)*(-2*h - 3 + 3) + 0*h + 0*h - 10*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from qfffddfzfffffzff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7612 - -10699. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 31*o**6\/12 - 19*o**5\/15 - o**4\/24 - 472*o**2. Find the third derivative of u(x) wrt x.\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.639651 millimeters to meters.\nAnswer: 0.001639651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/70*1\/(3\/(-12)). Which is the nearest to -2? (a) 0.4 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -3 - -10) + 11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 35. Suppose 6 = 10*k - l*k. Suppose 4*h - 2*h + 2*c = 354, -2*c - 516 = -k*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from {h: 3, k: 2, l: 2, z: 2, p: 4, r: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**5 + 1452181*c**3 + 70298244*c**2?\nAnswer: 1080*c**2 + 8713086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5560 divided by 40.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5384 + 14432. Let k = r - 144673\/16. What is the common denominator of k and -61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21380929 is divided by 23783.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 19115.0571709857\nAnswer: 19111.0571709857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (121\/(-22))\/((-3)\/54). Let k = 98 + w. Is 22\/21 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 11*b**2 - 7*b - 11. Let a = 46 + -51. Let c be w(a). Is (3 - (-1)\/c) + (118 - 0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1047*o**2 + 7 - 1064*o**2 - 15*o**3 + 2110*o**2 in the form g*o**2 + k + x*o + w*o**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414333 is divided by 1973.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99752 and 9773?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -45. Let n be -24*x\/(-1)*-4. Suppose -1348 = -a + 3*b + 2*b, 4*b = 4*a - n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, x: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(48\/12) - 13\/(-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffuu when four letters picked without replacement from {f: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8501.25?\nAnswer: 8501.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12831 = -4166*a - 78821 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205.91 - -223. Let i = k - 0.09. Sort 0.2, -1\/6, i.\nAnswer: -1\/6, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2 - 2446*f + 309808 = 0.\nAnswer: 134, 2312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -i - 3, 4*d = 64*i - 59*i + 22. Sort i, 497, 3 in decreasing order.\nAnswer: 497, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, 0.8.\nAnswer: 2\/7, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-37)*v**(7\/3)\/(v*v**(-3\/8)) assuming v is positive.\nAnswer: v**(41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 30, 36, 42, 48, 54?\n\"Answer: 6*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1651 - -1654. Sort 8, o, -5, 2.\nAnswer: -5, 2, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1. Let q(x) = 7*x**2 - 3. Suppose -5*z = 2*i - 23, -18 = -4*i - 3*z - 7. What is i*q(c) - 3*g(c)?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/160 and -97\/112.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/(j\/j**(-4)*j*j)*j**15 assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -1008, -2168, -3764?\nAnswer: -5796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3312052443 + -1?\nAnswer: 3312052442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5998*g**2 + 4476*g + 4474*g + 6002*g**2 + 4516*g + 4472*g - 17938*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*s**3 + 1\/3 + 0*s**2 - 1\/2*s = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19600 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, -3, -16, 13 in descending order.\nAnswer: 13, 4, -1, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 146, 285, 422, 557, 690, 821, 950?\n\"Answer: -s**2 + 142*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k - 37. Let z be a(10). What is the first derivative of -v**4 + 19*v**3 - 13 - 24*v**2 - z*v**3 - 6*v**3 wrt v?\nAnswer: -4*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 44*t**2. Let n(o) = 2438611*o. What is n(w(a))?\nAnswer: 107298884*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07214 times -6?\nAnswer: 0.43284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/6 + 133*i\/6 - 477 = 0.\nAnswer: 27, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 262 + 270 = -3*p, -2*p = -3*i + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*x**2 - 7*x**3 - 9*x**3 - 2*x**5 + 16*x**3 + 33*x**6 wrt x.\nAnswer: 3960*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/11 and -8\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -8843561.\nAnswer: 884356.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 15, p: 3}. What is prob of picking 3 l and 1 p?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 11.\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4971b?\nAnswer: -4971a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from vdddcvdvvddcv.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11 - 6 = -3*a, u = a - 4 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**6 + 176*q**5 + 21*q**3 + 1116*q**2 + 496*q - 1 wrt q.\nAnswer: 2160*q**3 + 10560*q**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - f - 38 = 0, -2*r - 65*f = -68*f - 24 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, d: 1, t: 3, r: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*m - 402 = 0, -2*s - 4*m + m = -414. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpy when three letters picked without replacement from ppphyyhh?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.213 times -0.06?\nAnswer: 0.01278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) -4.6 (b) 0.5 (c) -0.6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c03 - -2?\nAnswer: -c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*j - 6*j**2 + 25*j - 10*j**2 + 14*j**2 - 11*j - 2 to t*j + w + n*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60939*c + 94*c**2 - 60943*c + 121882*c.\nAnswer: 94*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -289, -270, -241, -202, -153, -94?\n\"Answer: 5*d**2 + 4*d - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2393 + 625. Suppose 5*k - 83 = b. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/49*(-5)\/10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = 4*o. Let y(z) = -z - 2. Let m(v) = -2. Determine o*y(i) - m(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8 + 5*g + g**3 - 2 + 0 + 8*g**2 + 4. Let z(y) be the second derivative of -y**4\/12 - y**3\/6 + y**2\/2 + y. Let l(d) = n(d) + 6*z(d). What is l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - w**2)*(-3*w + 6*w + 4*w)*(2*w - 2*w - 3*w**2).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-64)\/24 - -3). Let q(v) = v**3 - v**2 + v - 1. Let r(y) = -2*y**2 + 12*y**2 + 8 - 4*y - 4*y - 10*y**3. Give f*r(o) - 8*q(o).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, s: 1, x: 3, v: 1, l: 2}. What is prob of picking 2 l and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 4) to base 16.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/110 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 20*x**2 + 22*x - 185. Is l(19) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.24117l?\nAnswer: 45241.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2215*d**3 - 269*d**2 + 4*d - 4. Let a(c) = 18*c**3 - c**2 + c - 1. Let g(n) = 4*a(n) - s(n). What is the third derivative of g(m) wrt m?\nAnswer: 13722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 2*w + 8, 4*t - 6 = -w. Let n = 407 + -406.7. What is the closest to 0.02 in 5, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-4) + (-120)\/160. Calculate the common denominator of 17\/18 and (9 - 10) + f + 26\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-8) - (-840)\/672?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/(-2) + (-2)\/4. What is the greatest common factor of i and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2. Suppose g + 4 = 2*o. Suppose -21 = -5*k - n, o*n + 15 = 5*k - 26. Solve c + 2*x = -k, 3*x + 9 = -0*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19*v - 353. Let o be d(13). Let m = 249 + -151. Let s = m - o. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 4313*b + 38973. Determine f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*t - 294*t + 201*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (14 - 143\/(-11))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/(-1)*407\/37.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(34307\/(-637))\/29.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362855.529 - 96?\nAnswer: 2362759.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*d = -0*d, 2*r = -2*d - 8. Let j be (-1)\/2*(r - 0). Is 2*j*231\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 5*a + 9. Let f be y(6). Suppose 0 = 7*g - 2*g + 4*x - 46, -f*g + 28 = 2*x. Solve -g = -i + 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*m + w - 22, -44 = -4*m + 2*w. Let r be 192\/(-140)*(-15)\/(-6)*7. Let t be (-4)\/m - r\/10. Is t less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 940*r + 1475*r + 452*r.\nAnswer: 2867*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-15) - (-2)\/(-6). Suppose 0 = 3*n + 3 - 12. Suppose s = -p*s + n. Put -1, -2, s in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -833823, -833820, -833817, -833814, -833811?\nAnswer: -833808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9028922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25938\/30869 or 0?\nAnswer: -25938\/30869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + s**2 - 6*s + 45. Let x(a) = -3*a**3 - a**2 + 7*a - 45. Let j(f) = 6*d(f) + 5*x(f). Is 5 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4097118 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3 - 0. Suppose -2*k - 1 = -s, 3*k - 5*k = x*s - 11. Let a(z) = -z**3 - 1 - z**s + z**3 + z + z. What is a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7255*h + 7267*h = -216 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 25*s + 62. Give a(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 5*s**2 + 3*s + 6. Let t = 14 - 9. Calculate the remainder when n(t) is divided by (-22)\/2*(0 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1616546 and -77\/6?\nAnswer: 4849638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, g: 1, y: 1, a: 2, o: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -144. Let t(u) = -18*u**2 + 28*u - 50*u - u**3 - 5 - 4 + 4. Let x be t(-17). Calculate the highest common divisor of l and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5870*r - 2933*r - 2936*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = u + 6, -5*u = -2*u - 5*x + 13. Suppose -8 = u*f + 2*h - 50, 4*f + 3*h = 45. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 24*k + 58. Let a be c(22). What is the greatest common divisor of 42 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55633 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 - 2630 = -7*f. What is the greatest common divisor of 228 and f?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 273 + 462 = -n + 259, 5*n + 12*b - 281 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211540268\/9 or 23504473?\nAnswer: 211540268\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 6256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/2 + 36*p**3 - 1061*p**2\/2 + 1854*p - 1360 = 0?\nAnswer: -85, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 11*t**2 - 15*t + 38. Let w be x(-9). Solve 0 = w*d + 5 - 60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 5*c - 1. Let r = 32 + -47. Let q = r - -9. What is the units digit of d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-3978)\/(-12716)) + 9 + -39\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -376125.15 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.9. Let p = 5.4 + i. Round p to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) 2\/5 (b) -0.3 (c) 3 (d) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -906*f**6 + 39*f**2 - 81*f**2 + 576*f**2 wrt f?\nAnswer: -108720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 2*(-2*sqrt(77) - sqrt(77)))\/(sqrt(44)*6) - ((-1 + sqrt(343))*6 + 4)**2.\nAnswer: -12352 + 2023*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = c + 5, -6*c = -5*o - 3*c - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4055 divided by 4\nAnswer: 4055\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312885507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*h + 0*h**2 - 3*h**2 - 1.\nAnswer: -3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 48017*v - 1826100. Give d(38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-3)\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13590)\/(-1057)*((-63)\/(-18))\/(25\/30)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 10*x**2 - 2*x + 15. What is f(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/34634 and -17\/22.\nAnswer: 380974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -37 - (8 - 22) - (-13 - 0).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6 - (-3570)\/594). Which is bigger: -98 or g?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 + (6 - 4 - 4)*(2 - 1 + 0) + 4 - 3 + 0 + 4 + 15 + 17)*(-3*y**2 + 4*y**2 + 0*y**2).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**5 - 56*c**4 + 98*c**3 - 46*c**2 - 2. Let s(l) = 19*l**5 - 168*l**4 + 293*l**3 - 137*l**2 - 7. Let x(o) = -7*j(o) + 2*s(o). Solve x(u) = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**4 + 5343*p**3 + 147165*p**2 - 152511*p = 0.\nAnswer: -1753, -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457 + -360. Suppose 8*x = 3*x + 125. Calculate the remainder when f is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.471?\nAnswer: 0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35418851?\nAnswer: 13, 209579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 0.231301\nAnswer: -12.258953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 117 + 947. What is the remainder when r is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - e196?\nAnswer: -e19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**3 - 17167*s**2 + 2*s - 1261030?\nAnswer: 54*s - 34334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 1. Let h be d(0). Let v(s) = -17*s**3 - s**2 - 2*s - 1. Determine v(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203340040 (base 5) to base 4\nAnswer: -3031011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) -23 (c) -0.5 (d) -5 (e) -17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9361?\nAnswer: 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10128 is divided by 86?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4085 - 4085. Solve 2*q - 4*f + 6 = -g*q, -4*q + 5*f = 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*v**2 - k*v - 13*v**3 + 99*v wrt v?\nAnswer: 8*k - 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/57285 and 151\/162?\nAnswer: 1031130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 99 = -4*w, 2*w - 5887 = 3*t - 5938 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 44 = -k, 1780*k = -7*p + 1778*k + 66 + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16141712 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -16*x - 3, 3*x = 4*q - 277. Which is bigger: q or -0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 3. Let m be j(-5). Let v(f) = f - 7. Calculate the smallest common multiple of 12 and v(m).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -33 - (1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110111100111001 (base 2) to base 5.\nAnswer: -202034110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0 + w)*(-1 + 1 + 8)*(73*w + 1097 - 1097) to the form y*w**2 + i*w + x and give y.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 8*m + 12. Let j be z(9). Suppose -2*q + 20 = j*q. Solve 1 + 3 = -q*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -608. Let m(b) = 2*b + a*b**2 - 1 + 0*b + 1. Let u be m(-4). What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10077*k**2 - 3*k + 10*k + 14*k - 73 + 18*k - 7*k wrt k?\nAnswer: -20154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 12 (c) -1\/5 (d) -35\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - p - 6, 0 = -h + p. Let o be h + 27\/(-15) + (-65)\/(-175). Find n, given that 2\/7*n**2 - 6\/7*n**3 + o*n + 2\/7*n**5 + 0 - 2\/7*n**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:31 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, p: 7}. Give prob of picking 2 p and 1 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**9*k)\/(k\/(k\/(k\/k**(-6)))))\/(k**(-6)*k**(-7)*k) assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1241402605?\nAnswer: -1241402611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 213\nAnswer: 5\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = 4*o + 11*z - 19, 3*o = -z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 598*q**2 + 160865*q + 820. What is g(-269)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 - 3*j**2 + 5\/6*j**3 + 3*j. Let r = -182 - -186. Determine v(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30 = -2*q. Let v = 50 - q. Let c = v - 6. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32289376 divided by 7\nAnswer: 4612768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/17 - 6108*u\/17 + 4663458\/17 = 0?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37257 is divided by 473.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1285*j*k**2*n + 13*j*k**2 - 6952*j*k*s - 6*k**2*n*s - k**2*n wrt n.\nAnswer: -1285*j*k**2 - 6*k**2*s - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37853516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2da4 (base 16) in base 4?\nAnswer: 2312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 22 = -32*j. Let q(m) = -m**2 - 6*m - 8. Let s be q(-2). Solve s = -h + j + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1 - (-48)\/10)*(-3)\/(-9). Sort t, 0.128, -0.3 in ascending order.\nAnswer: -0.3, 0.128, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, q: 2}. Give prob of sequence qh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 + 8*q + 3. Let s be n(-6). Let d be 490\/70 - (-1*6 - 2). What is the greatest common factor of s and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4517*n**2 - 3478*n**2 + 3*n - 3*n to the form b*n + u + x*n**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/124 - -133\/372. Factor 0 - 1\/3*g**5 + f*g**3 - 1\/3*g**4 + 0*g + 1\/3*g**2.\nAnswer: -g**2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 54*v**2 - 8*v + 8. Let s(b) = 2*b**3 - 55*b**2 + 10*b - 10. Calculate 5*l(w) + 4*s(w).\nAnswer: -17*w**3 + 50*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 + 48*b + 26*b**3 + 13*b - 72*b + 11*b - 44*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21599676 and 2772?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/16? (a) 17 (b) -5\/42 (c) -3 (d) 3 (e) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*f, -19*f + 21*f = -2*m + 9876. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108*(-30)\/360*(-10)\/(1200\/36).\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let w(h) = 80*h + 316*h - 192 + 192. Determine j(w(t)).\nAnswer: 313632*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2704 + 4722. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 132*c - 2516. Calculate p(-109).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148 - 74 - 179*y + 176*y + 367*y + 136 wrt y.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 q when three letters picked without replacement from quiljjil.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9106 or 45\/4?\nAnswer: -0.9106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 23\/5) + 41\/10. Is s at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-4) + 11\/(-22). Let d(c) = 2*c**2 + 0*c**2 - 4 + 2*c**2 + 1 + t*c. Let v be d(1). Solve -v*p + 5 = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(17\/((-1904)\/(-14)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/315*9)\/(9\/(-7))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*14\/(-56)*(-8)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*j + 100453*j**2 - 163*j - 100531*j**2 + 9*j**3.\nAnswer: 9*j**3 - 78*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.8 + 42. Let v = w + -1.2. Let o = v + 22. Is o less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-738)\/30*15\/12*-2. Let p = -60 + v. Which is the third biggest value? (a) 4 (b) p (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204984.3 rounded to the nearest one hundred?\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 3*s**2 - 2*s**2)*(119 - 652 + 2035 - 568 + 1971)*(-1 - 1 - 1) as b*s**2 + k*s + o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1865, 3470, 5075, 6680, 8285, 9890?\nAnswer: 11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/2665)\/(36\/(-15)*((-1)\/2 - -7)).\nAnswer: -2\/507","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -423\/5. Let o = -0.6 + 0.5. What is the closest to o in x, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 35 (c) -5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 4*o**2 + o**2)*(0 + 2*o**2 + 0 + (0*o + 3*o - 2*o)*(2*o + 2*o - 3*o) + 3*o**2 + 0*o**2 - 2*o**2 + 11*o**2 - 9*o**2 - 11*o + 11 - 8).\nAnswer: 24*o**4 - 44*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4190*z + 732. Let l(s) = -5587*s - 952. Give -13*b(o) - 10*l(o).\nAnswer: 1400*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 6)\/((-3)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*i**4 - 516*f**2*i**2 - 15*f*i**4 + 4*i**3 wrt i?\nAnswer: 24*f**2*i - 360*f*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94500 = 7*g + 124*g + 58*g. What is the highest common factor of 1370 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2037559 and -1?\nAnswer: 2037559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 18*f**4 + 3*f**2 + 3*f - 4. Let j(x) = 20*x**4 + 2*x**2 + 3*x - 5. Let b(k) = 4*j(k) - 5*z(k). What is the third derivative of b(v) wrt v?\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-1))*q)\/q)\/q**(1\/4)*q**(-6)\/q**(-3\/4))\/((q\/q**(-1\/3))**25\/(q**1)**0) assuming q is positive.\nAnswer: q**(-239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 u when four letters picked without replacement from {f: 6, u: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3955 - -5330. What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let p(a) = -2*a**2 + 240. Determine g(p(r)).\nAnswer: -4*r**4 + 960*r**2 - 57600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/33)\/(-4*(-2)\/44). Suppose 4*s - 10 = 2*s. Solve -p = 4*u - s*p, 0 = -v*p - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168542 + -104238. What are the prime factors of s?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31294 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = 3*h - 60. Suppose h*a - 743 = 724. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 27*n + 0*n**3 + 0*n**2 + 0*n**5 - 2*n**4 + 0 - 7\/10*n**6. What is the third derivative of m(u) wrt u?\nAnswer: -504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-4 - sqrt(209)\/sqrt(11)*-2)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2897 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -61 - -57 - -2*4. Suppose 0*n = r + n + 3, -m*r - n + 3 = 0. Let w = -4 + 7. Solve -c = -w*c + r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. Calculate the lowest common multiple of 72\/7 - (-4)\/(-14) and ((-55)\/r)\/(2\/(-4)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 648337 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -1)\/((-6)\/(-9)). Let k be 9\/6 - l\/4. Suppose -c - 2*c + 81 = k. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m - 133 - 87*m - 63 + 265 + 383.\nAnswer: 2*m + 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42132\/24 + (-6)\/(-4) + -2. Suppose 15*v = 6*v + x. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -7 - (2 - -6)\/(-2). Let k be (2\/(-4) + -1)\/((-3)\/b). Solve -2*l - k = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 7*q - 15. Suppose -y = q*y. Let c(s) = s**2 - s + 52. What is the tens digit of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/260 and 137\/14580?\nAnswer: 189540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 13*g = -2*k + 18, g = 3*k - 16. Find the second derivative of -35*r**5 + 17*r**5 + r - 11*r**3 + k*r**3 + 16*r**5 - 8*r**3 + 34 wrt r.\nAnswer: -40*r**3 - 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 1, 5, -1 in descending order.\nAnswer: 14, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 225, -4 in ascending order.\nAnswer: -4, 1, 4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*z + 3, 3*z - 16*s - 4 = -12*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) - (-221)\/(-455)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 561*f**2 + 136*f - 15. Is c(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 14*s**2 + 14*s + 17. Determine z(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29 and -0.03098.\nAnswer: 0.25902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(4*(-1)\/(-3)). Suppose 0 = w*i + 3*i - 252. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -21) + (-12740)\/676.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o**(-1)*o))\/o*o)**(-3)\/(((o\/o**0)\/o)\/o)**17 assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-38 + -30 + 44).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7930, -7997, -8098, -8227, -8378, -8545, -8722?\n\"Answer: l**3 - 23*l**2 - 5*l - 7903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.74 + 0.94. What is the closest to -3\/10 in f, 2\/9, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -518*h - 6*h**3 - 58*h - 312*h + 250 + 182*h**2 + 78*h = 0.\nAnswer: 1\/3, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9249)\/1176 + (-110250)\/(-14000).\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -87, 3 in descending order.\nAnswer: 3, 1, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1242 and 93703.\nAnswer: 92461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/2 - 283*v**2 - 6337*v\/2 - 2885 = 0. Calculate v.\nAnswer: -10, -1, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**2 - 1870*r - 174845 = 0.\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -681 + 1?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2892530, -5785036, -8677534, -11570024, -14462506, -17354980?\n\"Answer: 4*j**2 - 2892518*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735440 and 1902?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187381 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206015619 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5\/45 + 19*u**2\/2 - 11. Let q(p) be the second derivative of y(p). Factor q(w).\nAnswer: 4*w**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145972 divided by 456.\nAnswer: -36493\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0 + 1\/24*q**4 + 0*q**5 + 37\/20*q**6 + 0*q + 2*q**2 - 1\/3*q**3. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 213274*a**2 + 213272*a**2 + 7*a**3 + 2*a**4 - 20*a - a**4 in the form m*a**4 + j*a + h + q*a**3 + o*a**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -63. Suppose 0 = -2*p + 2*r + 18, -24 = -4*p - y*r - 0*r. Find the third derivative of -3*n**2 + n**2 + 24*n**4 + p*n**2 + 5*n**4 wrt n.\nAnswer: 696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/4 - 281*i**4\/4 + 6265*i**3\/2 - 70517*i**2\/2 - 320787*i\/4 - 166941\/4 = 0. Calculate i.\nAnswer: -1, 27, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5317?\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9257359 is divided by 4628678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 10. Let j be v(5). Suppose 0 = 5*r + 4*p - 21, 2*r = -6*p + p + 5. Sort -4, j, r in decreasing order.\nAnswer: r, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (5 - (-9 - -22))) + (-2 - 1) - -20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let y = 4 + s. Solve -2*a = -5*z + y*a, 2*a = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 2*r + 18. Let u = 20 - 18. Let v be 0\/(u - (7 + -4)). What is the units digit of t(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150410?\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 26378\/880 - 31?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 - 5*o + 2. Let t = -3 - -7. Suppose t*r = 6 + 10. Let c be a(r). Let h(w) = w**3 + w**2 + 2. Give h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-174)\/18)\/(52\/1053)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*t = 0, -10*n + 6*n = -3*t - 13. What is the remainder when ((-6)\/9)\/(2\/(-39)) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*y + 158*y + 227*y - 97*y.\nAnswer: 419*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7\/17706 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/(11\/8) - -7)*0. Solve -3*r + h - 6 = u, -164*h = 4*r - 163*h + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1655024?\nAnswer: 1655025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 1. Let w(f) = -13*f - 4. Let m(j) = w(j) + 6*x(j). Differentiate m(n) with respect to n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 852 = 10*c. List the prime factors of c.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3548, 7502, 11456?\nAnswer: 15410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - 4*p - 1. Let y be h(-4). Let m = -3065 - -3087. What is the nearest to -0.1 in y, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1985, 4, 0 in decreasing order.\nAnswer: 1985, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Suppose 0 = -2*n - 4*s + 12, -s = n + 4*n - 12. Let w(m) = -4 + n*m + 4. Calculate w(p(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2982197 to four decimal places.\nAnswer: -0.2982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(110)\/(sqrt(10) + sqrt(10)*2))**2.\nAnswer: 47\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1222694 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*g**2 - 171*g**2 + 582*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*z - 56, -2*z + 77 + 35 = 2*u. Suppose -l + u - 43 = 0. What is the remainder when 135 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 divided by -52?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 8*i**2 - 70*i - 278. Is s(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1133 (b) -1\/2 (c) -0.2 (d) -0.02583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 826404199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (198\/330 + 17\/(-45))*(1 + 2). Let 2\/3 - 2\/3*k**3 - 2\/3*k**2 + t*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422425 (base 6) to base 10\nAnswer: -34289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -358 + -7?\nAnswer: -35f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**3 + 3*a**2 - 3*a. Let d(m) = -m**3 - m**2 + m + 1. Suppose 0*n - 18 = 3*n. Let z(g) = n*d(g) - 2*c(g). Differentiate z(h) with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-18)*(-12)\/50. Suppose 3*w + 3 = -5*z + 22, -11 = -5*w + 2*z. Suppose -2*a = r - 11, a - 23 = -w*r - r. What is the biggest value in a, 0.1, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - (-40)\/7. Suppose w*m = 3*m - 69. Let n = -8 - m. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 27, -5, -1, -31.\nAnswer: -31, -5, -1, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7539524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1672? (a) 2 (b) 0.07 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Let s(q) = 3*q + 6. Let a be s(j). Solve 4*l - 5*z + 25 = 0, -z + 2 = 4*l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 1\/3 (c) 1 (d) 52 (e) 0.3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.1. What is the closest to -1 in -2\/17, 3\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 441.7046 and -0.1?\nAnswer: -44.17046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -8*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9253755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 5 (c) -0.2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -j. Suppose -6*b = -b - j. List the prime factors of b*-7*(-2 - 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/10)\/((-2)\/(-4)). Suppose -5*m + 7 = 4*c - 10, -4*c + 13 = m. Is 120\/s*c + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 + 5 = o, -13 = -3*o + 4*l. Sort -1, -2, o in increasing order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 7, y: 4, n: 4}. What is prob of picking 2 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1060648*f**3*x**2 - 14*f**3*x + 3*f**2 - 96*x wrt x.\nAnswer: 2121296*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6360)\/(-144))\/(-53) - (254\/(-10))\/(690\/25)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let l(s) be the third derivative of 11*s**4\/6 - s**3\/3 - 218*s**2 - 2*s. Give l(n(z)).\nAnswer: -44*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - ((sqrt(208) + 3)*-1 + sqrt(208)).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 4*u**2 - u**2 + 52*u - 14*u**2 - 52*u + (4*u - 2*u - 5*u)*(-2 + u + 2) to y*u**2 + o*u + d and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29082 - 26920.9. What is f rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*w - 4*w. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**2\/2 - 131*z + 70. Let f(h) = -65. Let d(k) = -5*f(k) + 2*j(k). Let i(t) = -t. Give d(i(n)).\nAnswer: 2*n + 63","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 22*l**3 - 12*l**2 - 13*l + 5. Let h(t) = 21*t**3 - 10*t**2 - 11*t + 4. What is -2*d(o) + 3*h(o)?\nAnswer: 19*o**3 - 6*o**2 - 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9802516 times -5\nAnswer: -49012580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3601846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y\/(y*y**(1\/5))*y))*y))\/(y**(-8\/11)*y) assuming y is positive.\nAnswer: y**(-114\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 555935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 209. Suppose 5*l + u = 3*l. What is the common denominator of l\/55 + 6\/30 and -22\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/14 - (-186)\/(-252)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*w - 141*w = 736560. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-112)\/16 - -1396)*(-8)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 9 + 399*v**5 + 100*v**5 + 1 - v**5 - 1 - 2*v**5 + 2*v**5 + v**5 + (4*v - v**2 - 4*v)*(v - 2*v**3 - v).\nAnswer: 501*v**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1110420?\nAnswer: -1110430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 53. Which is the second smallest value? (a) -0.2 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 11*l + 11*l - 19*l - 98*l + 87.\nAnswer: -117*l - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t - 815. Calculate g(-68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by (-11*(-6)\/66)\/(4\/(-3504)*-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let i(y) = 3*y. Let s(c) = -c**2 - 8*c + 19. Let l be s(-10). Let q(w) = -497*w. Let j(x) = l*q(x) - 213*i(x). Calculate u(j(a)).\nAnswer: -284*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 39*w = -5, 2*v - 4*w + 14 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15131315 (base 6) to base 15.\nAnswer: a5945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -97 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 15. Suppose -1 = c - 0. Let r = 2785 - 2787. Put c, r, o in decreasing order.\nAnswer: o, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:01 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 617081 <= 617081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 157*d - 33124. Give a(202).\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16755?\nAnswer: 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766236, -3064983, -6896260, -12260085, -19156476?\nAnswer: -27585451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:22 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:01 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637492 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 - 27*l + 12*l + 9*l - l + 2*l**2 + 9*l in the form i + o*l**2 + t*l and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3 from 70870.144.\nAnswer: 70868.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 10*v**4 - 23*v**3 - 14*v**2.\nAnswer: -v**2*(v + 1)*(v + 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6960 and 3184?\nAnswer: 1385040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-2))\/(-1))\/(-2). Suppose 2*c + 14 = 3*f, c - f = 2*f - 13. Let l be 7\/7*(1 - c). Solve -4*w = -3*h - h - 8, b = 4*w + l*h + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(3 + (-5*sqrt(20)*-2)**2)*6.\nAnswer: -120180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 13*f**2 - 19*f + 36. Let c(i) = -i**3 + 7*i**2 + 9*i - 18. Let l(j) = 7*c(j) + 3*g(j). Solve l(d) = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301*w - 477*w - 5472 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 12. Suppose 4*a = a + q. Let s = -5 + 7. What is the highest common factor of s and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - 6.12. Let i = 1780\/11 - 162. Put x, -0.2, i in decreasing order.\nAnswer: i, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 30. Let g = q - 19. Suppose 1 = g*v - v. Solve 9 = -5*r - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 5*j + 5. Let u(c) = -11*c**2 - 10*c - 10. Let l(m) = -13*o(m) - 6*u(m). Let v = -32258 + 32263. Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335.66804 + -0.12304. Let q = -337 + l. Let t = q - -0.055. Round t to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*j + 127, 177 = 3*j - 2*o + 5*o. Suppose 5*l - 2*r + 3*r - 171 = 0, -2*l - 2*r = -j. Solve s - i - 10 = 0, 4*s - 2*s - 5*i = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-2)*(p**(-1\/4)*p*p)\/p**(-2\/13))**19 assuming p is positive.\nAnswer: p**(-95\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 537733 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -14. Suppose -10*g = -s*g - 18. Let z(x) = -4*x**2 - 14*x + 14. Let j(r) = -r**2 - 3*r + 3. What is g*z(b) - 28*j(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210030 (base 5) in base 9?\nAnswer: 267706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/36 and 127\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2, -0.2, -18\/115, -5, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n - 35. Let j be s(-5). Let l(o) = 768001*o**2 + 7*o + 10. Let c be l(j). Suppose 17*i = 9*i + c. What is i rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 11478480122488?\nAnswer: -11478480122488.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13844.987466 + -13845. What is x rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:37 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7092.7 + -6142\nAnswer: -13234.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13 + 12 = 0. Suppose 2*v = 5 + t. Find the third derivative of -16*u**2 + 8*u**v - 2*u**2 + 4*u**2 wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/z**(2\/9))\/z)\/z)**(-23\/2))**(-5\/2)*(z**2*z)**(24\/11)*z\/((z*z**(-2\/11)*z*z)\/z*z)*z**(-3\/8) assuming z is positive.\nAnswer: z**(-1613\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o - 43*o + 79*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 9 = 7. Suppose -5*y - 3*m = -4029, 0 = a*y - 3*y + 3*m + 813. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -544.\nAnswer: 65\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from xxfkfxffxfk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 26 = 5*h, -4*h + 2 = 5*z + 8. Put h, 1\/3, 0, 1\/7 in increasing order.\nAnswer: h, 0, 1\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.00958281, -0.3, 1.\nAnswer: -3\/4, -0.3, 0.00958281, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57514693.\nAnswer: 43, 1337551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = -52. What is the derivative of 1 + j*d - 52*d + d**2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y + 22 = -2*l - 137*y, 5*l + 5*y = -35 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152140 + -3?\nAnswer: 152137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13 + (-2338)\/(-13). Does 4 divide 1 + (y\/(-3))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1243\nAnswer: -1243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - -2.6.\nAnswer: -60.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:34 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -142*j**2 + 653*j - 3671. Let x(n) = -50*n**2 + 217*n - 1224. Let b(u) = 6*k(u) - 17*x(u). Differentiate b(p) with respect to p.\nAnswer: -4*p + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i + 74. Let p be l(-8). Let o be (-1 - -3)\/(p\/9). Let r(f) = 2*f + 1. Give r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2344300 + -10?\nAnswer: -2344310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 7)*(-2 - -5). Let u(h) be the third derivative of -h**6\/120 - 19*h**5\/60 - 5*h**4\/6 + 41*h**3\/6 - 33*h**2 - 13. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - 131. Let p be d(25). Let s(c) = -347*c**3 - 17*c + 248. Let h(r) = -115*r**3 - 6*r + 83. Let g(q) = p*s(q) + 17*h(q). Differentiate g(w) wrt w.\nAnswer: 381*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 36*j - 15. Let d(r) = 38*r - 15. What is -2*d(l) + 3*w(l)?\nAnswer: 32*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*79314\nAnswer: 793140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-45)*90\/525?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 38 + g + 38. Let v(u) = -2*u**2. Determine v(z(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 12*n - 57 = 0. Let h(x) = 4593*x**3 + 0*x + 0*x - 1 + x**2 - x. Let k be h(n). Round k to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9069621?\nAnswer: 3, 11, 274837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77672 and 155192?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 6 - 3) + (2 - 5) - 12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 - 2. Let r = -0.086 - -0.486. What is the nearest to 0 in m, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Solve n*o - 15 = -5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -114*z**2. Let k(x) = 9*x**2 + 10*x. Let w(g) = -4*g**2 - 4*g. Let u(b) = -2*k(b) - 5*w(b). What is u(j(c))?\nAnswer: 25992*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6 - 2\/(-4). Let w = 2 + k. Suppose -12 - w = -2*f. Calculate the greatest common factor of 64 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w**2 + 2*w)*(0*w - w + 4*w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2038707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Suppose 3*r + 2*r + 90 = 0. Let v be ((-4)\/6)\/((-12)\/r). Let o be a(v). Solve o = l + 2*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/108 + (9\/(-3))\/(-3). Which is the nearest to -2? (a) k (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) -5 (c) -3\/2 (d) -4 (e) -1\/202 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -60376377.28 to the nearest 10000.\nAnswer: -60380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13667281, -27334573, -41001865, -54669157, -68336449?\nAnswer: -82003741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1860, 9288, 22288, 40860, 65004, 94720?\nAnswer: 130008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/16976 and -51\/2576108?\nAnswer: 10304432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/3, -94\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172908 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-8) - (-298 + 3). What is the greatest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**5 - 35*r**4 + 139*r**3 - 241*r**2 + 164*r. Let j(i) = 3*i**5 + 36*i**4 - 141*i**3 + 240*i**2 - 165*i. Let f(q) = -2*j(q) - 3*z(q). Factor f(x).\nAnswer: -3*x*(x - 3)**3*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 + 3*n**3\/2 + 5*n**2 + 37*n. Find m such that p(m) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/30 - h**4\/24 + h**3\/2 - 54*h**2 - 1. Suppose z + 5*q + 15 = 3*q, 3*q = 9. Let n = 24 + z. Determine p(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38+1284111317345\nAnswer: 1284111317345.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 2*s**2 - 6*s**2 - 8*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.61136 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 146 - 350 - 355 + 231 - 299 to v*r + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-42))\/((-165)\/(-154))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00248621795 to 7 decimal places.\nAnswer: 0.0024862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1 (c) 26\/35 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) + sqrt(792) + sqrt(792)*-1)*6 - sqrt(792)*1*5)\/(sqrt(6)\/((sqrt(81)\/sqrt(3))\/sqrt(9))*-3).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16*(0 + -2)\/(-4). Let z(h) = -2 + 0 - 3 - 3 + r*h. Let c(y) = -y + 1. Give -18*c(g) - 2*z(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35492 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m**2 - 2*m**2 + (-m + 3*m + 0*m)*(m - m + 2*m + (m - m + 2*m)*(-1 - 4 + 3) - 10*m - 1 + 1).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50391 - 69?\nAnswer: 50322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -161, -230, -303?\n\"Answer: -2*x**2 - 59*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243899 take away -261602?\nAnswer: 505501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 y, and 1 d when four letters picked without replacement from {h: 5, e: 10, d: 3, y: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -174, -217, -224?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -a + 13, -2*a = -7*a + 3*p + 11. Let w = -327583 - -327587. Solve w*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15.3521 and 75.\nAnswer: 90.3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + s**2 - s. Let k be l(0). Suppose -3*y + 63 + 12 = k. Let m = -23 + y. Solve m*x - 12 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 105*u**2\/4 - 849*u\/2 - 2070.\nAnswer: 3*(u - 15)*(u + 4)*(u + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23009064 less than 23009064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 w when three letters picked without replacement from rbgebewccbwc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140 (base 8) in base 5?\nAnswer: -4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14922908197 and 8341.\nAnswer: 14922916538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 130 = -2*w + 3*w, -4*w - 74 = -2*l. Let a = 29 - l. Factor -17*u**2 + 8*u + a*u**3 + 13*u**2 - 6*u**3.\nAnswer: -4*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100000 (base 2) to base 6.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45460)\/(-2273)*(-2)\/((-84)\/(-9)).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 8*i + 7. Let v be m(7). Suppose v = -u - 0 + 4. Suppose 77 = u*w + 21. Solve -2*a + 4*f + 16 = 0, w = a - f - 3*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -7016.\nAnswer: 3\/7016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 1\/2, -2\/11.\nAnswer: -2\/11, -0.15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**3 - 150*p**2 + 3*p**4 + 193*p**2 - 12*p**3 wrt p.\nAnswer: 72*p - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + 3 - 19. Let x = -6 - b. Calculate the lowest common multiple of x and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 845.75 + -389.5. Let s = j - 471. What is s rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 9*y**2 - 7*y - 6. Let j be o(8). Let t = 128 + j. Solve 3*d - l = 6 - 16, -t = 2*d - 3*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*i, -13 - 15 = -5*i + 4*z. Solve i*g - g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from {d: 2, t: 1, u: 1, k: 4, n: 6, j: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 - 116. Find the common denominator of 13\/2 and (4\/330)\/(2295\/k - -4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -3.1. Let b = 160 + -160.055. Let r = 1.555 + b. What is the fourth smallest value in m, 1, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:51 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 4. Let j be w(-5). Let c be (1\/15)\/(j\/12)*80. Suppose -74 + c = -5*u. Solve -2 - 4 = u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-437)\/(-874)*4*2\/(-62).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 220?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 182*u - 89. Let j be h(46). Suppose 0*c - 396 = -2*m - 3*c, -j*m + 3*c = -624. What is the remainder when m is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Sort -1.2, 2, n in descending order.\nAnswer: n, 2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 362 - 365. Sort p, 3\/8, 3\/2, 5\/2.\nAnswer: p, 3\/8, 3\/2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 2 + 2 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000294981599 rounded to seven decimal places?\nAnswer: 0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 100939179.\nAnswer: 2\/100939179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x - 13. Let y(p) = 3*p + 3. Let g(h) = 2*q(h) + 9*y(h). Let u(r) = r + 2*r + 3*r + 5. Calculate 4*g(c) - u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + w - 6 = p, 5*w - 2*p = 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*x = o, 2*o - x = -1. Let q be (-830)\/3654 - (-4)\/18. Let w = q + 419\/2639. Is o < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53897 + 17044?\nAnswer: 70941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 18*y - 253. Suppose -11*v - 8 = -15*v. Solve -y = 3*k - 0*k + v*j, -14 = 2*k + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, 60, 1\/54?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5 - 42*s**4 - 112*s**3 + 1368*s**2 + 3008*s - 4224 = 0.\nAnswer: -4, 1, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 627606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31516, 31445, 31388, 31351, 31340, 31361, 31420?\n\"Answer: y**3 + y**2 - 81*y + 31595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from gwglgglbwbw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 1\/3, -37\/4.\nAnswer: -37\/4, 3\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7297 is divided by 166?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*x + 1956, -626 = -l + 3*x + 336. What is the remainder when l is divided by 200?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**(-41)\/(w**(-1\/2))**43*(w*w**(1\/4)\/w)**19\/((w*w**(-1)*w)\/((w*w\/w**(1\/5))\/w*w)) assuming w is positive.\nAnswer: w**(541\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97\/3 + 33. Let x be (-3)\/(-4)*(-2 - -6). Determine o so that w + 7\/3*o**2 - x*o = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -48*g - 285. Let m be v(-6). What is the second biggest value in m, -48, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 2*m + 1\/2*m**4 + 0*m**3 + 1\/2*m**2 + 0. Suppose -4*w - 5 = -1. Calculate j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkxkkkbkkbkbbkbbk. Give prob of picking 2 b.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 348*g**3 - 668*g**3 + 357*g**3 + 7 to l*g + q*g**2 + w + t*g**3 and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/2*-2*(-15)\/(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 2124?\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h**3 + h**2 + h + 2. Let g be u(2). Let i be -2 - 1\/(52\/g). Which is the smallest value? (a) 3 (b) -4 (c) 14 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 5:57 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*n**3 - 278827074*n**2 - 61961578*n - 3442310.\nAnswer: 2*(n - 1721155)*(9*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 3*b**2 - b - 1. Let u(p) = -3*p**3 + 5*p**2 - 2*p - 2. Let o = 26 - 28. Let v = -3 + o. Determine v*i(n) + 3*u(n).\nAnswer: n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5 + (5 + 0 - 4)*(3 - 2 - 3))*(2415*q**4 + 411*q**4 + 166*q**4).\nAnswer: -2992*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*-3*1\/2. Solve 4*l + 8 = -4*m, 11 = p*m - 0*l - 3*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1*3 - (-5 - -3)). Suppose s = -4*f + 30 + 30. Let q(p) = -4*p - 3. Let x be q(-2). What is the highest common divisor of f and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n - 4. Let v be y(-6). Let c be (-1870)\/(-90) + v*(-2)\/36. Let z = c + -20. Solve -2 = l - z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 4. Suppose 4*h + d = 28, 3*d + 5 + 7 = 4*h. Let r(b) = -2*b + 5. What is h*o(m) - 5*r(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 73*v**2 - 6*v - 12. Suppose -2*r + 14 = -9*r. What is the units digit of j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3769634*l**2 - 7449716 wrt l?\nAnswer: 7539268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/3, 6, 5 in decreasing order.\nAnswer: 6, 5, 4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*(-18)\/(648\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-2)\/1 - (5 + -3). Let g(m) = -m**3 + 3*m - 4. Let s(w) = -w**3 + 2*w - 3. Determine k*s(o) - 3*g(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 - r. Let p be q(-6). Let i(l) = 2*l + 8. Let j be i(p). Let d = j - 12. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.04, -1, -1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532785 is divided by 150.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/12*-3 + 29\/(-9) and -133\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - 1 - -43) + (0 + -2 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l - 2*b, 5*l + b + 6 - 21 = 0. Suppose l*i = -0*i. Suppose i = -9*t + 4*t + 125. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 26*g**3 - 14*g**3.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25477879 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**6\/48 + k**5\/12 + 65*k**4\/48 + 25*k**3\/6 - 61*k**2\/2 - 127. Let j(r) be the second derivative of w(r). Factor j(c).\nAnswer: -5*(c - 5)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 1, l: 3, d: 1, b: 3}. What is prob of sequence ll?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1584) + 1))**2 - (1*sqrt(1584) + 3)) + -3.\nAnswer: 12*sqrt(11) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/3 (b) -3.3 (c) 1\/85 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 4*w**2 - 4*w + 4. Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 45 = -4*y - 16, -t + 4*y + 1 = 0. Suppose -t*n + n = 92. What is the units digit of (n\/(-3))\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4151956742.\nAnswer: 2, 2075978371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -11.49 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10472153 and 5083.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-14) + 39\/(-42). Let h = 7 + -7. Which is the closest to o? (a) h (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = 0, 6 = -5*p + c + c. Suppose -8*a - 2 = 2*h, -764*h + 760*h + 14 = -2*a. Sort h, 5, 0, p.\nAnswer: p, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 210578984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 543 (b) -1\/3 (c) 1 (d) 6\/11 (e) 14 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 + u - 5. Let k(n) = 7*n - 1. Let c be k(1). Let z be b(c). Let a be 800002\/10 + z\/(-5). What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/9 + 57454*w**4 - 33422499964*w**3\/9 + 33421465796*w**2\/9 + 11140833322*w\/3 - 33421982882\/9 = 0. Calculate w.\nAnswer: -1, 1, 129271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 3 - 6*g - 2*g**2 + g**3 + 11*g**2. Let l = -9 - 0. Let c be o(l). Solve 0 = -f + 4*f + c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 - 3*y**3 + y**3 + (0 + 0 - 3)*(-5*y + 2*y - 5*y)*(4*y**2 + 2*y**2 - 4*y**2) to the form b*y**2 + o*y**3 + z*y + k and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 45 - (-3 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(sqrt(162) + 1 - sqrt(162)))**2 - 5*(sqrt(162) + 1)).\nAnswer: -186 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 64, 5 in descending order.\nAnswer: 64, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -179067 divided by -6?\nAnswer: 59689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s - 9. Let p be r(-8). Suppose 0 = 4*t + n + 4*n - 122, 3*t - 2*n = p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 570521\/1048960 + (2\/4)\/(5\/(-6)) and -25\/8.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187755010 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3\/2 - 37*y**2 - 121*y\/2 - 28.\nAnswer: -(y + 1)**2*(9*y + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -3?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1446 and 33?\nAnswer: 15906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.278 times -125\nAnswer: -34.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29538036*r**3 + 275*r**2 - 13618 wrt r.\nAnswer: 177228216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -224*t - 95. What is the thousands digit of u(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19281, 19180, 19081, 18984, 18889?\nAnswer: 18796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - (-1 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82225 - -7?\nAnswer: 82233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m. Let w(g) = g - 2*g - 3*g. Let i(u) = 5*p(u) - 7*w(u). Let r(k) = -2*k - 1 + 1. Calculate r(i(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 39. Sort -5, -2, y in descending order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 102*w - 543. Let u be d(66). Calculate the highest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(4\/(-112) - (-1)\/(-4)). Let b be ((-6)\/j)\/(18\/84). Solve -6 - b = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - 8*h - 2. Let t be b(-9). Does -93 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -92, -175, -278, -395, -520, -647?\n\"Answer: r**3 - 19*r**2 - 7*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -32*o - 5685. Calculate q(-103).\nAnswer: -2389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4629, -4586, -4515, -4416, -4289, -4134, -3951?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-25)\/(-5) + 2 + 1 and (6\/5)\/(3\/40).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -656 - -55?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*n**4 + 194*n wrt n?\nAnswer: 4272*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043281 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.78534 milligrams to nanograms.\nAnswer: 36785340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.64 - 25.64. Let b = z + 22. What is the third biggest value in b, -0.4, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Find the common denominator of (l\/(-12))\/(-1*4\/208) and 31\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-16) + -2)\/(3\/355380000). What is p rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147700*q**3 + 92978 wrt q?\nAnswer: -443100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 50*d**2 + d + 5*d.\nAnswer: -50*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 0, -0.3, 0.2 in increasing order.\nAnswer: -87, -0.3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1417 and -79\/23762?\nAnswer: 308906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 61.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 7}. Give prob of sequence lllp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5159 = -178*r - 2139 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i**2 + 30*i**2 - 15*i**2)*(0 + 3 - 2).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2254\/(-84))\/23 + (-1)\/(-6))*-3. Solve 5 = h*b - 4, -23 = -4*c - 5*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(68\/408). Solve 0 = -3*h - m + 1 + v, 2*m = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 5*((sqrt(84)*-1 - sqrt(84)) + sqrt(84)) - (sqrt(84) - (sqrt(84)*2*-4 - sqrt(84))))*3)\/(-1*sqrt(300)*-2*4).\nAnswer: -21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -45 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggowoooowoooxowzwx. What is prob of picking 1 g and 2 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 + 0*c + 1\/60*c**6 + 7*c**2 + 0*c**4 + 0*c**5 + 1\/3*c**3. Find the first derivative of h(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*m - 2*m**2 + 61 + 152*m - m**3 wrt m.\nAnswer: -3*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/36)\/(17\/2788). Solve -i*y + 16*y = -50 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -698*m + 693*m - 55 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663 - -1083. Suppose 0*d = 5*d - k. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 22, 78, 168, 298?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(5 - (2 - 0)). Suppose 0 = -0*k + k, 2*d - 802 = j*k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c + 10. Let q be (-31)\/c - (-1)\/(-5). Does 16 divide 3 - (-22 - (q - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703.93 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - s + 2 - 10, 0 = 2*s + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5\/7 + 13276*j**4\/7 - 395880*j**3\/7 + 564400*j**2 - 13156000*j\/7.\nAnswer: -4*j*(j - 3289)*(j - 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*6 + 56\/24. Suppose 4 = -x + 4. Sort -0.3, w, x in descending order.\nAnswer: x, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**2)**(5\/3)\/((y\/y**(-4\/5))\/(y**(-4\/5)\/y)) assuming y is positive.\nAnswer: y**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 + 134*d**3 - 1491*d**2 + 3294*d = 0. What is d?\nAnswer: 0, 3, 9, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2332.969 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 20 = 0. What is the common denominator of b\/(-15)*(-141)\/(-2) and -27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04390364 and 5.\nAnswer: 0.2195182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let b be (r*1)\/(2\/(-4)). Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337077, 674245, 1011413, 1348581?\nAnswer: 1685749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.061 or -33?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -180, -487, -938?\n\"Answer: -72*r**2 + 53*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021455 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4756.8940134 - -4749.094. Let w = 7.8 + t. What is w rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 - 7*y + 11. Let r be l(5). Suppose -r = w - 2*w. Suppose 5*n + w = 241. Calculate the remainder when 109 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177925 divided by -55.\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, 0.01, -0.2, 1.\nAnswer: -1\/2, -0.2, 0.01, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*q + 4*o, 5*q - 31 = 4*o - 0*o. Let j = q - -107. Let k = j - 42. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 4.07. Let y = 26 - 72. Let m = 43 + y. What is the second smallest value in n, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 times -1247013?\nAnswer: 673387.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-1))\/1 + (9 - 6). Suppose p - o*g = 10, -2*p - 3*p = -g - 50. Suppose 0 = 5*v - p + 5. Which is the second smallest value? (a) 5 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q**2 + 20. Let r(d) = 5*d**2 - 7. Let g = -11 - -11. Suppose 4*k + 44 = -g*k. Let o(z) = k*r(z) - 4*f(z). What is the derivative of o(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -69*f**2 - 2*f - 1. Let i be c(-2). Let q = i - -393. Let d be (-12)\/16 + 74\/q. Put 5, 1\/3, d in ascending order.\nAnswer: d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 7. Let t(z) = -z**2 + z + 4. Let m(k) = -5*t(k) + 3*u(k). Suppose 5*r + 14 = -1. List the prime factors of m(r).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcgr when four letters picked without replacement from cfrfrfrrcgcfcgcgrcr?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 16*v**2 + 21. Let q be o(-16). Differentiate 6 - q*m**4 + 2 + 6*m**4 + 6 with respect to m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*4 + 0)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6750 and 4500.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 801*h**3 + 11382*h**2 + 10584*h.\nAnswer: 3*h*(h + 1)*(h + 14)*(h + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 5*y + 6. Let t be j(4). Let l = t - -176. Suppose 5*p + 2*x - 120 = 0, 0 = 5*p - 2*x + 6*x - l. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7733 is divided by 2572.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j + 0*j - 79*j - 30*j to the form g + f*j and give f.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 + 84*n**2 - 1. Let q(b) be the first derivative of -b**4\/4 - 17*b**3\/3 + 5304. What is -2*k(f) - 11*q(f)?\nAnswer: f**3 + 19*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o + 15. Let c(y) = 7*y - 5. Let j(a) = -7*c(a) - 2*v(a). What is the common denominator of j(6) and -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -1, 10, 21, 32, 43?\n\"Answer: 11*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**4 - f + 1. Let b(y) = 13*y**4 - 2*y - 10. Let q(c) = b(c) - 2*z(c). What is the first derivative of q(v) wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3))\/(c\/(c\/c**(-1))) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*q - 18, -q + 2*q = g. Suppose 18 = 12*v + 6. Put 2, q, v in descending order.\nAnswer: 2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -784\/1483, 2.3, 5 in descending order.\nAnswer: 5, 2.3, -784\/1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:26 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 496000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - (-5)\/(-3). Let g be (6\/(-8))\/((-4)\/(-32)). What is the tens digit of n\/(-3) + (-56)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203020 (base 6) in base 2?\nAnswer: 100110001000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13419 - 2a?\nAnswer: 1339a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4110, -4462, -5400, -7218, -10210, -14670, -20892?\n\"Answer: -49*i**3 + i**2 - 12*i - 4050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*z**2 - 2)*(6*z + 7*z - 21*z) to the form m + c*z + k*z**2 + d*z**3 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1228\/668197 or 1?\nAnswer: 1228\/668197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10279.8+0.06\nAnswer: -10279.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 + 255. Which is the third biggest value? (a) -3 (b) 42 (c) x (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39393 + 64893. List the prime factors of u.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.8917 to one dp.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4683082 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**4 + 817*y**3 - 817*y**3 + (0*y - y**2 + 0*y)*(5*y - 2*y**2 - 5*y).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1458752*l**2*o**2 + 12227*l**2*o + 3*l*o**2 - 55*l - 6*o wrt o.\nAnswer: 2917504*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1847 - -18373\/10. Let q = -810\/11 - -147\/110. Let g = -125\/2 - q. Find the common denominator of g and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/((-1)\/6). Is 12*(k - 6\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = -2*x - 1, 3*x + 2*j + 4 = 0. Let u(r) = r - 4. Let w be u(6). What is the third derivative of 8*o - 6*o + w*o**x - o**4 - 2*o wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020032644 to seven decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*x = 5*z + 9, 0 = z - 3*x + 7. Let b = 403 - 403.2. Let l be (-66)\/21 + (0 - -3). Put l, b, z in descending order.\nAnswer: l, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*v + 5*g, -4 = -4*v - 0*g + g. Let j = -95 + 94.7. Which is the second smallest value? (a) -1\/4 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 59*d - 6659. Let z be b(-57). Let w be (25\/(-3))\/(2\/12). Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 4. Suppose -n*t = -2*t. Let i be (-5 - (-55)\/10)\/(-1 + -1). What is the closest to 0.1 in 1, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*k**2*r*u + k**2*r - 3*k**2*u - 6*k*r + 8*r + 2*u wrt u?\nAnswer: 133*k**2*r - 3*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(2*a + 2 - 2) - 5 - 15*a + 5 + 1)*(9 - 9 - 4*a).\nAnswer: 68*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-6)\/2 - -5). Let q be -1 - ((1 - u) + 0 + -4). Find the third derivative of -1692*n + 1692*n - 6*n**2 + 33*n**q + 13*n**4 wrt n.\nAnswer: 1104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, 1.33, 0.04 in decreasing order.\nAnswer: 1.33, 0.04, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*((-24)\/(-3) + 0). Solve 5*l = -5*v, -v + 3*v - z = 2*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 3, p: 2, c: 9}. Give prob of sequence hcp.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53212230 divided by -8433.\nAnswer: -6310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/8 + 3*a**2. Let u(l) be the third derivative of -l**4\/12 - 15*l**2. Give x(u(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (2 - (9 + 3))) + -12 - (36 - 0)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*s - 19, 5*s - 2*l - 9 = -5*l. Suppose 1 = 2*z - s*u - 0, -5*u = 3*z + 27. What is the remainder when 39 is divided by (z\/16)\/((-4)\/176)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -5, 72\/47 in decreasing order.\nAnswer: 72\/47, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 70 = -5*d, 2*n - 3*d = d - 28. Let v = -12 - n. Let y be (-104)\/(-266) + (-60)\/570. Put v, -3, y in increasing order.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 34350*v**2 - 5. Let q(s) = -30*s. Calculate c(q(b)).\nAnswer: 30915000*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**7\/147 + q**5\/10 - q**4\/7 + 18*q. Let m(v) = 0. Calculate v.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(7 + 1)*1 - 1. Which is the closest to -0.4? (a) 5 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 30982390*a\/3 - 239977122528025\/3.\nAnswer: -(a + 15491195)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1178 and 20.\nAnswer: 11780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 3 (c) -0.01 (d) 0.4 (e) 437 (f) 5\/2 (g) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1239 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 - (-13 - (-24 - 12)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g**3 - 4*g**2 - 40*g**3 + 46*g**3 + 43*g.\nAnswer: 63*g**3 - 4*g**2 + 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 - 3. Let k(i) be the first derivative of i**3\/3 - 56*i + 52. Let y(f) be the first derivative of k(f). Give s(y(b)).\nAnswer: -40*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose 0*q - 16 = -j*q. Suppose -4*t = 24 - q, 0 = -3*g - 3*t + 57. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let v(m) = m**3 + 6*m**2 + 3*m - 7. Let i be v(-5). Let k be 2\/(-14)*(-1 + i). Is a < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1*(-39)\/(-3). Let i = x + 14. Let c be ((2 - 8) + 3)\/i. Let h(m) = -m - 3. Give h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 24, 153\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-885)\/(-20))\/((-3)\/(-168)). Let l = r - 400. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:56 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37\/8022 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4851.017184 + 4851. Round h to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143850983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 520982.\nAnswer: 520982","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57584 and 59536.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -10*j + 90, 304 = 5*j + 5*g + 219 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/400 and -43\/2?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 3, n: 2}. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-38))\/(1*86\/86).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaaqqen. What is prob of sequence eaa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -21 + 10 - (-12 + 18 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -1327*w**5\/5 - 1422*w + 716. What is the derivative of j(c) wrt c?\nAnswer: -5308*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - v + 4 = 0, 4*v = -t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2 + 576190*y - 94441368 = 0.\nAnswer: 164, 287931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 21584.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -27 + 10 - 5 - 26.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-663)\/(-1768))\/(133\/56)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4535 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 134 - 130 + 13*h**2.\nAnswer: 10*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 0*v**2 + 23*v**2 + 18*v**2 as q*v**2 + c + n*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let a be n(-8). Let w(j) = -j**3 - 7*j**2 + 8*j + 12. Let k be w(a). What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = 61*g - 23*g - 378 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmdd when four letters picked without replacement from mmdmd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11805, -23562, -35267, -46920, -58521, -70070, -81567?\nAnswer: -93012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-10 + -1) - (-1 + 11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/7 (c) -0.1 (d) 2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0285? (a) -0.5 (b) -5 (c) -1794\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7215 - -253?\nAnswer: -6962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - -12) + (2 - 0). Suppose 0 = -11*x + 13*x - 3*c + 19, -x - 11 = -l*c. Let n(h) = -h**3 - 4*h**2 + 3*h - 6. What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/11)*v**(-3))\/((v*v*v**(-19)\/v)\/v**8) assuming v is positive.\nAnswer: v**(258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 11*g**2 - 53*g**2 + 64*g**2)*(-3 - 1 + 0) + 3*g**2 - 1 + 1.\nAnswer: -85*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) - ((-143)\/121 + 7). Let y(h) = -2*h**3 - 16*h**2 - 26*h - 4. What is y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 12, -31 = 5*k - 0*k + 4*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -404, -108, -7 in decreasing order.\nAnswer: 0.3, -7, -108, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1258*f - 15152. What is z(-12)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168 - 152. Let i(o) = -o**3 + 42*o**2 - 34*o - 5. Is i(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-8 + 7)*(-73)\/44. Let z = -10 + j. Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829085103?\nAnswer: 19, 163, 590599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - -0.8. Let f = p - 4. Which is the third biggest value? (a) f (b) -0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 35 + -27 + -6 + 180.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) - (6 + 98\/(-7)). Let d(k) = 7 - 3*k**2 - 1 - 15*k + 19*k + a*k**2. What are the prime factors of d(-3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -237*i + 12. Let t(m) = 2367*m - 129. Calculate 21*g(d) + 2*t(d).\nAnswer: -243*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187867103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, l: 3}. What is prob of picking 1 r and 2 l?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -6.8 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 52073873.\nAnswer: -8\/52073873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j)\/j**3 assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, -4, 3 in descending order.\nAnswer: 306, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10178674545.3 minus -14?\nAnswer: 10178674559.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -29*t + 34*t - 7198047, 4*t - 3599034 = -2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, a: 9, t: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/11 + -2. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 713906*x - 774. Let s be j(-1). What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 935 and 918119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140414 - 10?\nAnswer: -1140424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 150 - 14. Let k(q) = q**3 - 9*q**2 + 3*q - 1. Let b be k(9). Suppose -b = -4*i + z. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1965 and 14482705.\nAnswer: 43448115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 2*f - 6. Let z be q(4). Solve z*n = 45*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m - 1\/2*m**2 - 1 + 1\/3*m**3. What is the lowest common multiple of h(2) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8*m + 96 + 1\/6*m**2 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 18 + 2)*(4 + 0 + 2*x - 5)*(-5*x + x + 3*x)*(3 - 4 + 2).\nAnswer: 22*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*c = 75, -116 - 34 = -2*j - 5*c. Suppose -3*g = -2*g - j. Calculate the greatest common divisor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 214, -2, -36 in increasing order.\nAnswer: -36, -3, -2, 2, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1726148.033 to the nearest 1000.\nAnswer: 1726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 - 2*m**2)*(-m - m - 7*m) + (3*m**2 - 5*m**2 - m**2)*(-3*m - 1 + 1) - m**3 + m**3 - 2*m**3 + m - m + 3*m**3.\nAnswer: 37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyyyzyyzzzzyzzyyyz. What is prob of sequence zyy?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(200) + 2*sqrt(200) + 2 + sqrt(200) - (-4 + sqrt(200) + (sqrt(200) - (sqrt(200) + 3)) + sqrt(200)))*1)**2 + 5.\nAnswer: 9000*sqrt(2) + 22035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.07?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 + h + 1. Let n(k) = 8*k + 50. Let q be n(-6). Let m be q\/(-5) - 72\/(-30). Determine p(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 12. Let s be (t - -2) + -2 + -1. What is the greatest common factor of 10 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -10, -4\/15, -1\/2, 3, -3\/50?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 0 + 0 + (r - 4*r + r)*(-2*r - 1 + 1) - r**2 + 0 + 0 + 3*r**2 + 3*r**2 - 3*r**2 + 5 - 3*r + 4 + 2*r**2 - 12.\nAnswer: 6*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - -0.39. Let x = 65 + -63.95. Let m = x - r. What is the closest to -0.2 in m, 0.1, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.26 (c) -12 (d) -5 (e) 22.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -683b54a + -3?\nAnswer: -683b54d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-30) + ((-6)\/20)\/(9 + -6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 192. Suppose f + 0*f = 3, 3 = -3*c - 3*f. Let v be (34\/c)\/(4\/a). Calculate the highest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5497 is divided by 5063?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i - 76. Let n be o(-30). Suppose n = 7*b - 1225. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 726816 and -2.74007?\nAnswer: 726818.74007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + (-5 - -7) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16961*t + 16948*t + 728. What is the greatest common divisor of t and 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-34)\/(-6))\/(21\/(-63)). Let m(j) = 477*j**3 - 27*j**2 + 28*j - 20. Let n be m(h). What is n rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 28 = -4*x - v, -6 = 2*x + 3*v. Let z(y) = -x + 3 + 0 - y. Let r(c) = 17*c + 9. Let h(a) = -8*a - 4. Let g(b) = -9*h(b) - 4*r(b). Give z(g(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/120 + h**5\/20 + 7*h**4\/24 - 1127*h**2. Let t(g) = -g**3 - 4*g**2 - 10*g. Determine 5*t(c) + 7*y(c).\nAnswer: 2*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 184 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 0. Let t be (-23)\/28 + 56\/98. What is the closest to f in -3, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 142*y - 62*y.\nAnswer: -204*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2700, -5028, -7362, -9702, -12048, -14400, -16758?\nAnswer: -19122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 792, -7, -264 in decreasing order.\nAnswer: 792, -7, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81934072.\nAnswer: 2, 11, 41, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -h. Let u(t) = t**2 - t - 1. Let r(l) = 6*l**2 - 5*l - 4. Let y(p) = -r(p) + 5*u(p). Let c(q) = -7*q**2 - 2*q - 5. Give h*y(x) + c(x).\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 754141 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16674*t - 4 + 4.\nAnswer: -16674*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.64 - -19.64. Let i = -0.3 - 0.2. Which is the second biggest value? (a) f (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -187. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3337*j**2 + 2*j**3 + 1664*j**2 + 1673*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 5. Let d be z(0). Suppose 2*f - d*b + 18 = 4*f, -f - 3*b = -10. Suppose -f*j - 5*q = -148 + 17, 0 = -q - 1. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2245 - -226665?\nAnswer: 231132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003398 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128610000 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-90) + 50\/(-18). Let x be (-2 - r) + -2 + 19. What is the highest common divisor of x and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2604*a**4 - 12*a**2 + 40*a wrt a?\nAnswer: 62496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 = 19. Let f(s) = -s**3 + 8*s**2 + 8*s + 13. Is f(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-33)\/21. Let s be 3*(2\/(-21) + 0). Let g = s + u. Which is the nearest to g? (a) -1 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1536*a**2*d**2 + 15111*a**2*p**3 + a*d**2 - 2*a*d*p**2 + 7*a*d*p + 2*a*d + 5*a*p**3 - 1414*d**2 - 3*d*p**3 wrt a?\nAnswer: 3072*d**2 + 30222*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8947 and 6049?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from orqrreqqrfqsqoeqoqqr.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19181 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (-12)\/1)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*s - 34*s - 27*s - 37*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10 + 8 = 0. Suppose g*j = -4*c + j + 80, 29 = c - 4*j. What is the remainder when 60 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z - 4*z - 15*z + 0*z + 4*z - 6*z + (1 + 1 + 1)*(3 - 3 - z))*(-16 - 7*z**4 + 16).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 267 - 260. Suppose -20717 = -q*x + 43676. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 9. Let q = 6.3 + y. Which is the closest to 1\/4? (a) 0.1 (b) q (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 5. Let m(j) = -4*j + 9. Let u(r) = -7*h(r) - 4*m(r). Let t be u(1). Is 26\/4 - t\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 - 6760*k**2 - 5567594*k + 245911764 = 0. Calculate k.\nAnswer: -1711, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*a = -17 + 75, 330 = -9*l - 2*a + 106 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -449*z - 14. List the prime factors of t(-1).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86861.62 rounded to the nearest one hundred?\nAnswer: 86900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 346*k - 271 - 262 - 517 - 57*k wrt k?\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.4 (c) -2\/391 (d) 5 (e) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.0064, -6\/5 in decreasing order.\nAnswer: 0.0064, -1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2994 - 3000. Which is the second biggest value? (a) -3 (b) 3 (c) 0.11 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 137*x**2 - 35*x + 14. Give t(34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyya when four letters picked without replacement from {a: 1, y: 3, f: 9, t: 1, q: 2, p: 2}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*n = -21, -2*x + 3*n + 2*n + 29 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293 - 201 + 348)*(-9*x - 9*x**2 - 4*x**2 + 12*x**2).\nAnswer: -440*x**2 - 3960*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*n + 10 = 0, 5*r - 16 + 5 = -4*n. Suppose -32*t + 870 = -378. Suppose -48*a + t*a + 81 = 0. Solve -a = 2*l - r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249069 or 249053?\nAnswer: 249053","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 - r + r + 4*r**3.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from oulwwuuwuoxwjo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/15, -2\/13, -14, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 5*l**2 + 17*l - 23. What are the prime factors of r(16)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let g = 1876 - 1873. What is the smallest value in -5, h, -3, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 + 0.0587510476.\nAnswer: -83.9412489524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2974 - 7954. Let x = z - -39763\/8. What is the common denominator of x and -11\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 28284 = 27492 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363.6 + 53.4. Let g = 428.4 - m. Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742661 to the power of 1\/2, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -320 (b) -2\/5 (c) -4 (d) 1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 40 = -4*q, 37*t = -5*q + 40*t + 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -353?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -3, 0.5, -124, 0.4, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-28)*(-21)\/(-6). Suppose 0 = -y - 0 + 1, -j + 3*y = -x. Solve 2*g + 3*c = j, 2*g - 5*c + 3*c + 16 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -60. Solve -20 = y + 5*s, v*y = 5*s - 3*s + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.87558 + -0.01402. Round t to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28592 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2) + -8 + 9. Suppose -20 = 4*w, 4*f + 32 = d*w - 153. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 - -298. Let x = j - 81. Suppose 3*o + x = 231. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 10. Let g = -22\/7 + 95\/28. What is the common denominator of -1 - u\/(36\/165) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 14. Does 6 divide j(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 38*h. Let u(l) = -21*l + 2 + 19*l - 2. Calculate q(u(j)).\nAnswer: -8*j**2 - 76*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 861 = 5*c. Suppose -5*a + 503 + c = 3*s, -4*s + 474 = 3*a. Suppose 2*w = p + 2*p - 154, -3*p = 2*w - a. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l*t**2*x - 2*l*t*x + 11*l*t - 3*l*x + 18*t**2*x + 4*x wrt t?\nAnswer: -8*l*x + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 714*o + 926100.\nAnswer: -2*(o - 525)*(o + 882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 20*h + 1900. Let d = 127 - h. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 - 8088999*b**2 - 35520057*b wrt b.\nAnswer: -12*b - 16177998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1669876*-4\nAnswer: 6679504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/2)*j*j*j*j)\/j**2*j**(-7)\/(j\/(j**(-3\/5)*j)))\/(((j\/(j\/(j\/(j*j**(-3\/2)))))\/j)\/((j*j**(-1\/6)*j)\/j))**(-1\/13) assuming j is positive.\nAnswer: j**(-1999\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 3*j - 4. Let l be a(0). What is the fourth biggest value in l, 0.4, -25, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 9*d**4 + d**3\/3 - d + 2. Let c be l(1). What is the highest common factor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5 + 5*y**4\/2 + 11*y**3\/2 + 2*y**2 = 0.\nAnswer: -1, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 120. Suppose 3*f = -5*s - 2*f + l, 0 = -s + f + 4. Solve -2*i = s*h - 4, -i - i = -4*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -549410 or -549031?\nAnswer: -549410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-602 + 1196 - 6*v**3 - 592 + 35*v)*(2*v - 3*v**2 - 2*v).\nAnswer: 18*v**5 - 105*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 2*g - 1260 + 2301 + 4*g as x*g + w and give w.\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 19. Let t = u - 11. What is the second biggest value in t, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 495 = 4*p + 519, -z - 22 = 2*p + 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*w - 191*w - 13*w.\nAnswer: -306*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -15. What is the derivative of -4 - 112*x + 112*x + x**4 + f*x**4 wrt x?\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**3 - 235*k**2 - 1212298.\nAnswer: -24*k**2 - 470*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108228 divided by -2.\nAnswer: -54114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*m + 1, 2*v - 2*m = -0*m + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0018 (b) -2\/5 (c) 5 (d) -0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 less than 267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 - 5*n**2 + 2*n. Let g(r) = r**3 + r**2 + r. Let y(a) = b(a) - 2*g(a). Find the third derivative of y(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*w + 14 = 489*w. Does w = 4\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 1. Let z be f(-1). Let x = 8 + z. Calculate the remainder when 9 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.7728 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4627 (c) 4\/135 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/41916 and -10\/10479.\nAnswer: 41916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 12*s + 2. Let j be k(-6). Let a be (j\/1)\/(2\/(-3)). Let c = 5 - 7. Sort a, c, -5 in ascending order.\nAnswer: -5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.2 + 49.20076. Round l to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.394 times -28.4\nAnswer: -11.1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -149. Let n = -10 - s. Solve n = -z - j - j + 6, 3*z - 5*j + 26 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 1\/8, -0.5, 2564.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**2. Let i(l) = -12*l**2 - 6. Calculate i(z(q)).\nAnswer: -3888*q**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -2, -33.5, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/6))**(21\/8) assuming i is positive.\nAnswer: i**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6, 0*x = 3*t + 5*x - 141. Suppose 0*j - j = -3*h - t, 4*j - 138 = -2*h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0.8. Let h = z + -0.2. Let x = 139.16 - 138.66. Put 2, h, x in decreasing order.\nAnswer: 2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 27 = -3*d - v, -4*v = -3*d + 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 16. Suppose 0 = 4*t + 5*k - 36, -4 = -4*t - 287*k + 290*k. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3507*l**4 - 26*l**2 - 67*l wrt l?\nAnswer: -84168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-832\nAnswer: -249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 - l**2 + (-8193788 + 8193788 - 3381*l)*(3*l - 2*l - 2*l).\nAnswer: 3380*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*v - 220 = 0, -3*v - 220 = 5*c + 2*v. Let q = 49 + c. Suppose 255 = -0*s + 5*s + q*d, 2*s = d + 102. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q**(-13)*q)\/(q\/(q*q**(-4\/7))*q\/((q\/(q\/(q\/(q*q**(-1)))*q*q))\/q)) assuming q is positive.\nAnswer: q**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110940 divided by 4?\nAnswer: 27735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o. Suppose o*x - 3*x = -129. Suppose 0 = 3*q - 20 - x. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.00000094. What is w rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 32*z + 41. Let v be ((-4)\/(-7))\/((-180)\/(-1575) - 4\/10). What is r(v)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5814 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u - 10*u + 3*u**2 - 16 - 7*u**2 - u = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-85)*1\/((-2)\/5)*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 - 22 = 0. Let p = s + -17\/2. Which is the second smallest value? (a) 4 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + (sqrt(117)*2 - sqrt(117) - sqrt(117)) - sqrt(117))*2) + sqrt(117))\/(-3*sqrt(81)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*i**2 - 18*i**2 + 0*i**2 + 2*i + 7 - 3 + i**3 to m*i**2 + b*i + s + y*i**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41 - 116*r**2 + 3*r**3 + 244*r + 58 - 7*r**3 - 141.\nAnswer: -4*(r - 1)**2*(r + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50.3 and -132421.\nAnswer: -6660776.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 35, 1\/8, 0 in ascending order.\nAnswer: -1\/2, 0, 1\/8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 5*n + 4. Let v(l) = -2*l**2 - 5*l - 5. Let k(d) = -3*m(d) - 4*v(d). Let w = -10 - -16. Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 + 229. What is the second derivative of -9*v**g + 6 - 52*v**2 - 82*v - 4 wrt v?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 162*r**2 - 256*r + 5070. What is s(53)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -1162\nAnswer: -6\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s**(-1\/20))*s**17*s\/((s\/(s\/(s\/(s**11\/s))))\/s)*s**(-2)\/s assuming s is positive.\nAnswer: s**(521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w + 0 - 1)*(-7 + 3*w**4 + 2542*w - 2542*w) + 2*w**5 - 2*w**5 - 5*w**5.\nAnswer: -8*w**5 + 6*w**4 + 7*w - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(0*w - 114*w**2 - 2*w + 137*w**2)*(5 - 1 + 4) to m + n*w**2 + q*w and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.758429cm in kilometers?\nAnswer: 0.00000758429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*w - 300, 2*d + 335 = 5*w - 2*d. Let c = w - 27. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-5) - 1)*-5. Calculate the greatest common divisor of a and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -156004*z - 7. Let p(s) = 7*s. Determine n(p(a)).\nAnswer: -1092028*a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 912*d + 7. Let s(o) = -o + 1. Let h(n) = -i(n) + 5*s(n). Suppose -6 = 2*u + 6. Let z be h(u). What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1087*-0.4.\nAnswer: -0.04348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**7\/35 + 5*d**3\/2 - 3*d**2 - 16. Let x(o) be the second derivative of j(o). Find the first derivative of x(q) wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 192 = -66*x. Let l(o) = o - 30. Calculate l(x).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 657095 and 1885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 0.1, 4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -u + 2*h, -3*u - 12 - 100 = 5*h. Let z be (-3 - u)*(-1)\/2. Let k(o) = -o**2 - 14*o + 31. What is the tens digit of k(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**3\/3 - 5*v**2\/2 - 11. Let c(p) be the first derivative of -p**2\/2 + 1. Give 5*c(a) - q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, p: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-4)\/(48\/(-9))*(-26)\/(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3 - 4*n + 5 + 5 - n**3 + 5*n. Let u be p(0). Let f = 10 - u. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 4, 3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 0*o)*(2*o - 5*o - 4*o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(-25)\/(c**(1\/4)\/c)**37)\/(((c*(c*c**(-2\/7)*c)\/c)\/c*c)**(-6\/11)\/((c\/c**(-5))\/(c*c*c\/c**(-4)))) assuming c is positive.\nAnswer: c**(-6873\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a76d10 (base 14) to base 11\nAnswer: -32200a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -7839557 and -7839557 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 24 = 126. What is the remainder when 91 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3\/3 - k**2\/2 + 3*k. Let y be (-90)\/(-21) - 4\/14. Let m be ((-1)\/(-2))\/(2\/y). Determine c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001020298719 to six decimal places.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336061 - 168038 + 10*q - 168024.\nAnswer: 10*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.6 + 14.8. Let x = -0.6 + 0.3. Let h = x + 0. What is the nearest to y in h, -2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 3*c**3 - 11*c - 7*c**2 + 7*c**2 in the form b*c + y*c**2 + j + q*c**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10019, -40026, -89977, -159866, -249687, -359434, -489101, -638682?\nAnswer: -808171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 703631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 34*s**2 + 10*s**2 + 5*s - 41*s**2. Suppose -5 = k - 2*r, -2*k - 3*r + 4 = -14. Let m(j) = -j**3 - 4*j**2 - 6*j. Determine k*m(p) + 4*b(p).\nAnswer: -3*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(240\/9))\/(3\/(-12))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*c - 12, c + 4*x = 2565817 - 2565816 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -40. Suppose -3 = -r - 14. Let x = r - l. Calculate the remainder when 47 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461\/11 - -42. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 4680?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4\/7)*y)\/y**(-2\/11))**(12\/11) assuming y is positive.\nAnswer: y**(1488\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 103*p**2 + 4*p + 57. What is the tens digit of f(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 2*n = -33*m - 10, -4*m + 2*n = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s - 13 - 2*s**2 + 1 + 3*s**2 - 27*s + 21*s to the form z*s + m*s**2 + x and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouzuuuzuzozzzzuuuuu. Give prob of sequence ou.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 1729840*y\/3 - 97466694.\nAnswer: 2*(y - 169)*(y + 865089)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.25361208?\nAnswer: -0.025361208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 122 + (0 - -4). What is the greatest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 = -151*a - 139 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, 2\/5, 0 in increasing order.\nAnswer: 0, 2\/5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4 + -15 + 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 35. What is y(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 54*p - 42. Suppose 32 = -337*m + 338*m - 2*v, 5*m - 2*v = 136. Give r(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.48578.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101381\/13 < 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29822 - 12178 = 1932*c - 732*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*l + 748 = 0, -1732 + 585 = -3*v + 5*l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103001200130 + 11?\nAnswer: 2103001200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*v - 433 + 499 = 0, 2*d - v + 41 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1970 + -1932. Suppose 2*t + 36*z - q*z - 10 = 0, 4*z = 3*t - 18. Factor -1\/2*r**t + 13*r - 169\/2.\nAnswer: -(r - 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-272)\/(-7))\/((-392)\/1372). What is the nearest to l in -2\/13, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 65*g**2 - 750*g + 845. What is l(-49)?\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 3. Let x be b(-7). Let o be 18750\/x*384\/10. What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 34. Suppose -4*y = l - 6*l + 45, 3*l - 27 = -4*y. Sort l, 3, t.\nAnswer: t, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/6 - t**3\/3 - 9*t**2 - 5. Let u(s) = -2*s - 1. Suppose 3*i + 4 = 7, -22 = 3*g - 4*i. Calculate g*o(p) + 11*u(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17592091*-5.\nAnswer: -87960455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + k - 1655, -k - 1640 = -5*y + k. Suppose -y*p + 336*p - 1020 = 0. Suppose 11 = n - 8. Calculate the remainder when p is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2102, 4198, 6290, 8378, 10462?\nAnswer: 12542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 2 + 10*c**2 - 3.\nAnswer: 19*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/12 - ((-262)\/156 + 0) and 23\/143.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406321.7 micrometers to centimeters.\nAnswer: 40.63217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/(-11) - 192\/(-352). What is the third derivative of 8292*w**3 - 8292*w**3 + 50*w**2 - 6*w**t + 0*w**4 wrt w?\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737146001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27132385801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/3 + 4*t. Let i be ((-28)\/(-3))\/(11\/33). Let y(v) = -i*v - v + 3*v + 7*v. Give y(f(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.662928 seconds?\nAnswer: 5662.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -8 + (-8 - (5 + 1)) + 10 + 6\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**3 + 17*z - 52. Does 36 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/9 and -26\/14543?\nAnswer: 130887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1035\/(-9)*(-28)\/210*(-6)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k. Suppose -2*r = -r - 6. Let z(l) = l. What is r*z(s) + m(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -201220221 (base 3) in base 2?\nAnswer: -11100010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/8*s**4 + 0*s**3 + 0*s + 1\/120*s**6 + s**2 + 0*s**5 + 0. What is the second derivative of a(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78.81 + -79.01. What is the closest to -2\/9 in l, -6\/13, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 44. Calculate the remainder when l(20) is divided by 6\/(-8)*-2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/115*(-2)\/4*135\/36?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:16 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*x**2 - 3*s**3*x + 39061*s**3 + s**2*x + 128622*s**2 - 3*s*x**2 + 2*x**2 wrt s?\nAnswer: 6*x**2 - 18*x + 234366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388 and 4462.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 3, v: 3}. What is prob of sequence vmvm?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1799242*d + 1769481?\nAnswer: 1799242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2799 = 8*n - 3*n, -5*l = -2*n + 1131. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x + 50236. Let r(p) = p**2. What is k(r(j))?\nAnswer: -9*j**2 + 50236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onny when four letters picked without replacement from {n: 4, y: 5, o: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-12 - (-4 - 6)). Solve v = -r + 36 - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g + 3. Let r(j) = -9*j - 2. Let n be 4 - 2 - (-45)\/10*(-1 + -1). Give n*r(d) - 4*x(d).\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(2 - 2*s**5 - 2) + (4 - 5 + 8)*(87*s - 87*s - 13*s**5).\nAnswer: -93*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*1\/28*192\/(-80))\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -21. Solve -3*j = l - 16, 4*j = l + j + w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*d + 62, -2*d = 2*l - 33 - 9. Find the second derivative of l*i - 10 - 18*i + 13*i**2 + 40*i**2 + 11*i**2 wrt i.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9666?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 322 - 5a02?\nAnswer: -56a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (8864 - 8864 + 3127*y)*(2 - 2 - 1)*(2 - 5 + 1) as g*y + z and give g.\nAnswer: 6254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24801 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074321021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:18 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 19*l**2 - 18*l + 40. Let k be z(-20). Suppose m + m + 2440002 = k. Let g be m + 1\/(-1)*-3 - 2. Round g to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18510 - 12849. What are the prime factors of q?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 19*c**2 + 15*c - 24. Give b(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5970007 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 68*h**2 - 205*h - 4724. Give s(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3212003200?\nAnswer: 3212003130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9071\/4 + -2268. Which is the closest to -0.1? (a) l (b) 1 (c) 0.4 (d) 23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 9. Let o be h(-9). Suppose 0 = -o*l - 3*l + 18. Let u be -1 + 198\/(-51) + -3 + 8. Put l, -1\/4, u in descending order.\nAnswer: l, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/12*(860282\/(-10) - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.256 and 0.3.\nAnswer: 0.3768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591029640.\nAnswer: 2, 5, 887, 44843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*b - 1297, 261 = 13*b - 12*b + 2*c. Suppose 0 = -7*r + b + 119. What is the remainder when r is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -5*c**4\/4 + 5*c + 191. Let v(f) = 20*f**2 - 23*f**2 - 1 + 1. Calculate k(v(q)).\nAnswer: -135*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1418 or -1421?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12574615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:26 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*g + 74*g**5 - 19*g + 41*g**5 - 16*g**5 wrt g.\nAnswer: 1980*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 296.4 to the nearest integer.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 + 352 - 25*r**3 - 352 + 13*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 6\/(-12)*6. Let f be g - -3 - 4 - -6. Is f > 31\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-1)\/1 - -3). Let u = -0.7 - -1. Let x = u + -2.3. Which is the closest to x? (a) k (b) -2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7982 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.051 or 1\/5070?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 + 3*v + 14. Let r be o(-5). Calculate the greatest common factor of 98 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*c = -108*c + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**4 - 4*o**3 - 2*o. Let f(l) = -2*l**4 + 5*l**3 + 3*l. Suppose 5*d - 2*d - 6 = 0. Suppose 2*h + d = 6. Let n(r) = h*f(r) + 3*x(r). Factor n(g).\nAnswer: -g**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d - 2. Let c(u) = 2*u - 7. Let h(z) = -6*z + 20. Let a(f) = -11*c(f) - 4*h(f). Calculate -3*a(g) + 4*w(g).\nAnswer: 4*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.4 and -19.1179 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(3) - (sqrt(48) - (sqrt(48) + sqrt(432))**2)) + -1*sqrt(3) + -5 + -3)*-5.\nAnswer: -15200 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/7, 0, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4765362245.\nAnswer: 5, 7, 136153207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 42 = -5*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 68. Suppose r*m - 2553 - 287 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = -4. Factor 8 - 4*d**l + 2*d**3 - d**2 - 4*d + d**3 - 4.\nAnswer: (d - 2)*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-814)\/(-10) + (-4)\/10. Suppose -k - a = -2*k. Suppose 3*q = 2*d + 48, -4*q + 3*d + k = q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4242 times 1?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -259*m**2 - 1293*m + 10 = 0.\nAnswer: -5, 2\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43639018.\nAnswer: 2, 113, 193093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9))**(6\/11))**(-2\/107)*(i\/(i**6\/i*i)*(i*i*i**0*i*i)\/i*i)\/((i\/i**(-2\/13))\/((i*i**(1\/3)*i)\/i)) assuming i is positive.\nAnswer: i**(-37768\/45903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:15 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = 16587 - 16623 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*12\/260*-5)\/(3\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 + 813*l - 83*l + 62*l - 5*l**2 - 39204 = 0 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -342*s + 347*s - 6540. Let a = -455 + s. What are the prime factors of a?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -574, -2302, -5182, -9214, -14398, -20734?\n\"Answer: -576*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 67711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/130)\/(2\/(-1240)). Let u(h) = 23*h + 39. Let k be u(1). Calculate the highest common divisor of c and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**8\/336 + g**6\/60 + g**4\/6 - g**2. What is the second derivative of v(q) wrt q?\nAnswer: 20*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*w**2 + 298*w + 146*w**2 - 298*w - 17 - 72*w**2.\nAnswer: -w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 28965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:30 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06165514195 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.77 minus -236240?\nAnswer: 236368.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264205771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122382 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 741 + -715. Let u be k\/39*(-6)\/40. What is the nearest to -0.1 in u, 3, -23, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_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: Is 16373303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.0162 and 17.\nAnswer: 51.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89746862 + -33.1.\nAnswer: -89746895.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 14*n**2 + 11*n + 8. Calculate x(-9).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9731 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6)*(-3 + 0). Let c be ((-4)\/(-30)*27)\/((-46)\/115). Let q = v - c. Let x(m) = -3*m - 5. Calculate x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -3520244?\nAnswer: 3520221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4828.783444 and -0.0761?\nAnswer: 4828.707344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as -53714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/2313 and -23\/5121753.\nAnswer: 15365259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = o - 5, 5*o - 3*h - 5 = 20. Let r(u) = 10*u**2 - 5*u + 9. Calculate the remainder when r(2) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589169883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1385)\/(-3) + 2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24400 - -2120422?\nAnswer: 2200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -21, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.3, 4\/173?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -3*h + z, 5*z + 6 - 70 = -h. Suppose -4*r = -g + 34, 3*r = g + r - h. Let c = g - 34. What is the greatest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 1557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/4, -10272?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/16 + (-33 + 12 - 177723\/(-8424)). Suppose -52\/9 - m*z**2 - 10\/3*z = 0. Calculate z.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = n - 10, 3*v + 3 = 0. Suppose 0 = n*g - 2*g - 3*s - 7, 5 = 5*s. Suppose -4*a + 7*a - 2 = l, g*a + 22 = 4*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 2, n: 1, u: 2, o: 4}. What is prob of sequence aau?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -341*h + 272 - 93 + 366*h. Let g be y(-6). Which is bigger: 22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {g: 2, a: 4, z: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337573 is divided by 95.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4142.2746 - 4141. Round q to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2497 - -157613\/63. Let j = -29\/9 + a. Calculate the common denominator of j and ((-1)\/(-9))\/(4\/(-128)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:43 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -43609*x. Let j(v) = 2*v. Give z(j(f)).\nAnswer: -87218*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 30 + 31 = 0, -15*l = -4*l + g - 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 3*l - 5 + l**3 + 2 + 4 - l**4 to the form q*l**4 + w + d*l + j*l**3 + s*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 495357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 + 4052*d + 25467. Calculate a(-283).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q - 21. Let g be y(-2). Suppose -5*h + 4*t = -2368, -3*h - 3*t + 475 = -935. Let m(u) = 1 - 473*u**3 + h*u**3 - 3 + 3*u**2. Determine m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*y - 8, 0 = -o - 3*y - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**(-4)\/z)\/z)\/z*((z*z**(-6))\/z)\/z*((z**(-2\/3)\/z*z)\/z)\/z**6)\/(((z**(2\/3)\/z)\/z**(-2\/9))\/(z**(1\/3)*z\/z**(4\/5))) assuming z is positive.\nAnswer: z**(-901\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 563, 855, 1179, 1547?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 + 414*a**2\/7 + 1896*a\/7 - 576\/7 = 0. Calculate a.\nAnswer: -12, -8, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46478 times -3854\nAnswer: -179126212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/21? (a) 41 (b) 1\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - 0.8. Let h = 10632 - 95692\/9. Which is the nearest to 1? (a) n (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -108*n - 699 + 85 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*f + 23 = 0, 0 = n - 8*f + 4*f - 22. Suppose 0 = 3*x - 4*h - 5, -2*x + 8 + n = -4*h. Put -2\/7, x, -7 in descending order.\nAnswer: -2\/7, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 + 4.7. Let d = -2.5 + x. Suppose -4*g + 4*j = -8, 0 = -2*g - 4*j + 1 + 9. What is the third smallest value in g, -0.3, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 666*d**2 - 53701*d - 586. Calculate a(196).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.1065296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 6*a + 4*a)*(0*a - 4*a + 3*a + (-1 - 2 - 1)*(0*a - 8*a + 3*a) - 6*a + 2*a + 5*a) to s + j*a + b*a**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-36 + 14)) + 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -24291*w**2\/4 - 36435*w + 9 = 0.\nAnswer: -6, 2\/8097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(13\/26).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9815\/4 - -2439. Let d = c - -15. Is d at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - t + 29 = 0, 9*t + 28 = 4*g + 11*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1422040 - 0?\nAnswer: 1422040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9034 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 5)*-1*0\/2. Let v(b) = 4 - 4 - 8*b + y. Determine v(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -0.2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 28242*s + 56492.\nAnswer: -2*(s - 2)*(s + 14123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119316445 rounded to 3 dps?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554682 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(37\/4) assuming a is positive.\nAnswer: a**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2798b4 (base 12) to base 5.\nAnswer: 132102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -662*k**5*q + 4*k**2*q + 223*k + q - 12 wrt k?\nAnswer: -13240*k**3*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 - o**2 + o**2 + 44*o**5 - 43*o**5 + 65*o**5 + (o - 5*o + 3*o)*(2*o - 2*o - o**4).\nAnswer: 62*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.414 or 0.01?\nAnswer: -22.414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6))\/(f*f**3\/f))**(37\/4)*f\/f**(4\/7)*f\/(f*f\/(f*f\/(f\/(f**(-4\/3)\/f*f))))*(f**(-1\/4)\/f*f)**(-5\/4) assuming f is positive.\nAnswer: f**(-25063\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-16))\/(1\/(-4)). Solve -3*r = -18 + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**8\/420 + d**6\/120 + 5*d**3\/3 + 4. Let b(n) be the third derivative of u(n). What is the third derivative of b(z) wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/(-5616))\/(8\/(-12)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 748, 1434, 2118, 2794, 3456, 4098, 4714?\n\"Answer: -s**3 + 5*s**2 + 678*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 15 (c) -5 (d) 262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.807 + -0.007. Let h = 222 - 225.8. Let f = t + h. Sort -0.1, 5, f in ascending order.\nAnswer: -0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**5 - 32*r**4 + 35*r**3 + 60*r**2. Let q(h) = 5*h**5 + 31*h**4 - 34*h**3 - 60*h**2. Let a(d) = 2*g(d) + 3*q(d). Factor a(y).\nAnswer: y**2*(y - 2)*(y + 1)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2724*a. Let s(z) be the third derivative of z**4\/24 - 33*z**2 + 7*z. Give s(j(r)).\nAnswer: 2724*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/7)*j)\/(j**(-1\/3)\/j))**(4\/19)\/((j*((j\/j**(-1\/2))\/j)\/j*j)**46)**7 assuming j is positive.\nAnswer: j**(-192449\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6480053.\nAnswer: 6480053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17101*i**4 - 27*i**2 - 11997873*i wrt i?\nAnswer: 205212*i**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1771638 and 54.\nAnswer: 15944742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - 3\/14. Suppose 21 = -41*k - 102. Let i = -1\/17 + -15\/34. Which is the nearest to f? (a) i (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olvsvvvlq. What is prob of sequence vovv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (20 + (28 - 19))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:18 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1193 divided by -69847.\nAnswer: -1193\/69847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11583886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:59 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 1. Let t(o) = -o**3 + 2*o**2 - 3. Determine -t(z) + 3*v(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7250 and 55?\nAnswer: 79750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.89, 1\/4, 1, 11, 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4529.118 + 4524. What is s rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g - 14*g + 9200 = 0. Solve -46 = -17*y - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84504474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33948626087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 16 = -i - 3*i, -i = 3*d + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 2*h**6\/15 - 9*h**5\/5 + 8*h**4\/3 - 55*h. Find k such that x(k) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from cccjcccwcjwc?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4366573024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s + 14. Let i(a) = -23*a + 25. Let j(b) = -4*i(b) + 9*q(b). Let c(l) = 2*l + 2. Let u(t) = -4*c(t) - j(t). Calculate u(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2266 + -1651. Is t a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116706086?\nAnswer: 2, 7, 317, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*(-6 - (-170)\/30). Suppose 12*g - 5*g - 210 = a. What is the lowest common multiple of g and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2604 and 5019.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:25 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7170933 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67841?\nAnswer: 179, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1260 - 272?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 - 5*h**2. Let f be s(-4). Let q = f + -41. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 38.76198s?\nAnswer: 38761980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 5. Let o be a(-4). Suppose -3*y + 0*p = -4*p + 6, -5*p + 17 = y. Factor -3*t**y - 2*t + 2*t + o*t.\nAnswer: -3*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319 a factor of 249702058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 8. Give y(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 1, -1676, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/2 + 501*c**2 - 45003*c\/2 - 23001 = 0.\nAnswer: -374, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i - 1. Let n(p) = -10*p - 1. What is 4*a(u) - 5*n(u)?\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13963442 is divided by 144.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -2\/201, 2\/15, 0.5, 109?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38777\/12 - -3237. Let x = 159245\/14 - 11368. Calculate the common denominator of x and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134288\/198)\/(-56) + (-12)\/(-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1062\/(-30) - (-4)\/10. Let z be (-4)\/(-14) - 130\/c. Suppose -z*b + 230 = -2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-3) - (-12)\/7. Let g = -0.42831 - -0.02831. What is the nearest to 1 in -1\/2, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5461 = h + 5440, 3*h = g + 4*g + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/41586 and 41\/717.\nAnswer: 41586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 962689 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4167220, -8334494, -12501768, -16669042, -20836316?\nAnswer: -25003590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7 - 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100 (base 2) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + 4*t + 7. What is the lowest common multiple of 64 and u(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1854 + 4525 - 360 = -58*p + 1321 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 116?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a meter in millimeters?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + sqrt(39)\/sqrt(3)) + 3)**2 + (sqrt(1053) + -1 + sqrt(1053))**2 + 3.\nAnswer: -84*sqrt(13) + 5057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2526*l - 75780. Let w(x) = -12. Give -q(c) + 6315*w(c).\nAnswer: 2526*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s. Let i = 70 - -18. Let j = 90 - i. Do j and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034871206 to 4 decimal places.\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*j**4 + 5295*j**3 + 13880*j**2 + 9200*j.\nAnswer: 5*j*(j + 115)*(3*j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16906 = -14068*w + 13854*w for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 239942 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 -1043512.08 rounded to the nearest 10000?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*i - 15 = -4*u, 0 = -2*u - 2*i + 6. Suppose o + 1 = -4*h, -3*o + u*h = -h - 10. Let p = -2 + o. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9277941 or 9277926?\nAnswer: 9277941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.62. Let l = -35.4 - -35. Let h = w + l. Put h, -1\/7, 0.1 in decreasing order.\nAnswer: h, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/646 and 55\/8?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0894814027 minus -0.3?\nAnswer: 6.3894814027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1316742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6390 and -4.5?\nAnswer: 28755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 + 2*h**2)*(h**2 + 3*h**2 - h**2)*(1 - 1 - 2)*(4*h + 0 + 0).\nAnswer: -48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let v be (8 - 636\/72) + 0. Is v less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687581.\nAnswer: 687581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27277801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhph. Give prob of picking 1 r and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2760 by -46.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111110111 + -11?\nAnswer: 11101111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010001110110 (base 2) in base 8?\nAnswer: -42166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6334296.82999948 + -6334297. Let p = -0.66 + 0.83. Let k = p + z. What is k rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 24 = -3*o. Suppose -o = 2*v, 5*u = -0*u + 4*v + 87. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x - 473 = -12*x + 427. Solve -x*n + n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105309 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Let z(b) = -3 + 0*b - b + 0*b + 3*b. Let n be -8 - (-9 - -4) - (-12)\/2. What is n*h(o) - z(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o)**(-1\/2)*(o**(-2\/3))**(-2\/5) assuming o is positive.\nAnswer: o**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 + v + 2. Let q(r) = -5*r**3 - 4*r**2 + 4*r + 17. Let u(b) = -q(b) + 4*x(b). Let t(y) = -14*y**3 + 14. Calculate 5*t(g) + 8*u(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -26*(52\/(-8) - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p - 15 = 0. Suppose 0 = 2*r + p*r + 25. Let h(y) = y + 11. Is h(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(4\/21)*z)\/(z\/(z\/((z*z\/((z\/z**(6\/17))\/z)*z)\/z)))*z**(-22)*z*(z*z\/((z\/z**(-1\/4))\/z)*z)\/z assuming z is positive.\nAnswer: z**(-27721\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7525)\/(-140) - 38)\/(-7 + 10). Solve 51\/4*s**2 - 5\/4*s**4 + 19\/4*s - 3\/2 + g*s**3 = 0 for s.\nAnswer: -1, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9348.4 - -9348. What is the fourth biggest value in z, 5, -0.1, 18, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*q - 270*q = 330 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j**3\/7 - 741*j**2 + 75*j + 1038\/7 = 0. What is j?\nAnswer: -173, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(605) - -1*1*sqrt(605) - (4 + sqrt(605)*-2)) - (2*sqrt(605)*5 + (sqrt(605) + -5 + 1*sqrt(605) + sqrt(605) - sqrt(605))))**2.\nAnswer: -232416 - 4224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -29, -1\/7, 1\/7, 269, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -55. Suppose 2*n + 10 = 34. Let w be (-3)\/((-2)\/(n\/9)). Solve -g = -3*s + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l - 2. Let m(n) = 7*n**2 - n + 8. Let a(f) = 5*f**2 + 5. Let h(q) = 4*a(q) - 3*m(q). Determine h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6.93. Let p = -7 - -20. Suppose 3*z - 21 = -2*d, 7*d - 3*d = 5*z - p. Which is the third smallest value? (a) -2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1094739 = -8*q - 503981. Round q to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -4, 0.07, 2\/55, 0, 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 2\/49 in descending order.\nAnswer: 4, 2\/49, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*n + 8 - 4, 14 = 5*n + 2*o. Suppose 4*c - 3*l = n*c + 21, 3*c = -2*l - 1. Suppose -c*q + 125 = 2*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2690 divided by -957?\nAnswer: 2690\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2470*i - 292. What is the thousands digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 - h. Let j(q) = -8*q**3 + 2*q**2 + 2*q. Calculate 2*g(y) + j(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163 divided by 3?\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010010111 + -10010?\nAnswer: 10010010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*b + 22831 = -19901, u - 5*b = 8568. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiu when three letters picked without replacement from {u: 2, x: 3, i: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 - 3*k + 1. Let c be v(-5). Let t = 61 - c. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 2*d**2 - 2*d + 1. Let p be w(2). Put 0, -1, p, 1 in decreasing order.\nAnswer: 1, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262098 divided by 5?\nAnswer: 262098\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:56 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345*r**4 - 3*r**2 + 18339 wrt r.\nAnswer: 1380*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -566*n**2 + 9526*n wrt n.\nAnswer: -1132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/24 - -6)\/((-6)\/(-36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 4*b + 89, -17*b + 18*b + 4*h = -31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t - 2*t)*(3*t**2 + 1 - 1)*(5 - 14 + 6) + t**2 - t**3 - t**2.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/(-40)*44\/(-10). Suppose -u*m + 148 = -116. Calculate the highest common factor of m and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5171548939905 + 5.\nAnswer: 4.4828451060095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 803*x**2.\nAnswer: -803*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r**2 + 44*r + 1059. What is the units digit of f(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2060\/(-15)*12\/(-16). What is the highest common factor of n and 2781?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 15*d**3 + 380*d**2 + 1625*d + 500 = 0.\nAnswer: -20, -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6598141 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*k - 76 + 10 = 0, -w = 4*k + 38. Let s = 30 + w. Solve -3*i - i - 12 = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107395.\nAnswer: 5, 47, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 8 = 4*x, 0 = -4*y - 4*x - 0 - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*u = -1470*u + 2*h - 214, 162 = -3*u + h for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(-1) - (-20)\/(-30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 19. What is a(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 275626*o**3 - 49792.\nAnswer: 826878*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10194 and 342083456.\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 371*d**3 + 366*d**3 - 724*d**3 - 17*d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/380 and 5\/16?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuji when four letters picked without replacement from {g: 1, v: 6, w: 1, j: 1, u: 5, i: 3}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 14*u**3 - 9*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -700 - -698. Let f(y) = -60*y**3 + 45*y - 45. Let v(b) = b**3 - b + 1. What is h*f(d) - 90*v(d)?\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 54*y**3 - 23*y**3 - 658 - 12*y**3 - 14*y**3.\nAnswer: -y**3 - 658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80))**2 - (sqrt(10)\/sqrt(2) + sqrt(5) + -2) - (sqrt(720) + (5*(sqrt(720) + 3))**2)*-3.\nAnswer: 5434*sqrt(5) + 54757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5.8.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 + (-88)\/14. Let s be 3 + -2 - (-1 + f). Suppose -g = g - s. Sort g, -1, 3.\nAnswer: -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6409)\/986)\/((-1)\/4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -77. Let n = t - 57. Let w = n - -238. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 33*u + 448. What is the remainder when g(-30) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.168 less than -142?\nAnswer: -137.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*a - 413, -2*a + 154 = -8*w + 6*w. List the prime factors of (22950\/w)\/((-2)\/3).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 2. Let q be -5 + 4 + (0 - 1). Let j be d(q). Suppose -3*u + 169 + j = 0. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/26880 - s**7\/1440 - s**6\/2880 + 7*s**5\/480 + s**4\/8 + 39*s**2. Let a(g) be the second derivative of w(g). Factor a(c).\nAnswer: (c - 7)*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -246622, -493246, -739868, -986488, -1233106, -1479722?\n\"Answer: d**2 - 246627*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11381041 less than -528181?\nAnswer: 10852860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 69.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**4*d**(2\/3)\/(d*d\/(d\/d**(1\/3)*d))*d**1*d*d*d*d**(-2\/9)*d**(-4\/5)\/d**(-5) assuming d is positive.\nAnswer: d**(2978\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 111.58, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -8, 32, 98, 196?\n\"Answer: n**3 + 4*n**2 + n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u - 16*u**3 + 9*u + 2*u + 4*u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 542 = 608*g - 618*g + 230, 4*g + 0*g - t = 308 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28476 by 2034.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (96\/(-10))\/(-4). Let q = -0.062 - -3.062. What is the third biggest value in 1, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 54183456.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98907412, -98907414, -98907416?\n\"Answer: -2*d - 98907410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 28*j - 4. Let u be s(3). Suppose 4*g + 28 = u. Let o(q) = -4*q + 5. Calculate the remainder when o(-5) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 239\/(-15) + -36 + (-8624)\/(-240). Put -292, -4, k in descending order.\nAnswer: -4, k, -292","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -266 - -b0?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/(-21))\/11)\/((-154)\/9163)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5777 and 23\/4823.\nAnswer: 525707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 23*o**2 - 125*o - 52. Let k be i(12). Solve 228*q - k = 236*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 32720 = -3*y + p, -3*p + 21822 = 2*y. Suppose 4*q = -i + 2713, 4*i + 0*q + 2*q = y. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0584500441 rounded to 5 decimal places?\nAnswer: 0.05845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 237.5 - 238. What is the nearest to 1.8 in 0.3, 2\/15, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24) - sqrt(600)*-1)\/((sqrt(28)\/(sqrt(4)\/sqrt(2)))\/sqrt(7)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2530*a**3 + 1267*a**3 - 1 + 1257*a**3 - 82*a - 714*a.\nAnswer: -6*a**3 - 796*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - 192. Let d be 2\/3*m\/45. Suppose 0 = -3*b + f + 1, -6*f = -f + 20. Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 78. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2384\/149)\/(-48)*(-6)\/(-47)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721135.5s to milliseconds.\nAnswer: 721135500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3\/(-3)*6 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.914 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + -5 + 0 + (sqrt(5) - (1 + sqrt(5))) + -2)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(13\/5)*k**(2\/7)*k**(2\/15))\/(k**5*((k**(-3\/5)\/k*k*k)\/k)\/k)**18 assuming k is positive.\nAnswer: k**(-32456\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 9*k. Suppose -4*f + 2*p + 902 = k, f + 3*p = 4*f - 672. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-7))\/(4\/14). Solve d + 0 = i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 138. What is the second derivative of -1 - 610*c**4 + c + 610*c**4 + h*c**5 wrt c?\nAnswer: 540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let i(g) = 4*g**2 - 7*g. Let v(x) = -35*b(x) + 5*i(x). Let h(y) = -2*y. Determine h(v(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:39 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2034113*g**2 - 9 - 2034039*g**2.\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(300) - (sqrt(300) - (sqrt(300)*1 - sqrt(300))))*-2 - (1*sqrt(300) + -3 + 1 + 1 + sqrt(300)))*5*5)**2.\nAnswer: -25000*sqrt(3) + 750625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-12)\/5 - (-13 + 10). Let d = 0.1 + 0.4. Which is the nearest to 1? (a) d (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 + 125. Suppose -q + 5 = t, 2*q - 4*q = t - m. Solve u + 4*u + 15 = q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63550118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.85 - -0.85. Let b = 36.4 + j. What is the closest to b in 3, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 - 851*v**4 - 512*v**4 + 2327*v + 1586*v - 2582*v wrt v.\nAnswer: -16356*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28994115677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 466393\/125 or 3732?\nAnswer: 3732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 16, 0, -44, -128, -264, -464, -740?\n\"Answer: -2*y**3 + 4*y**2 + 2*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a factor of 15051085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 18762.313 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68032 and 34016.\nAnswer: 68032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1738 - -1678)\/(6\/4 - 1 - -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-3))\/(4\/(-2)). Let r be (2 - g - 1) + -5. Let o be 8\/(-45) + r\/(-10). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-260)*8\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1732, -13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495 + 1 + -2 + 514\/514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5038.66503 minutes?\nAnswer: 0.4998675625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvoohasvvslsho. What is prob of sequence hav?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -115. Let h(l) = l + 11. Let q be h(-8). Suppose -q*b - b + 2452 = g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 4720?\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 2*n**2 + 2*n**4 - 12 + 37 - 2 - 2*n**3 to f*n**4 + z + y*n + a*n**2 + o*n**3 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 91814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l + 21*l + 12*l**2)*(3*l**2 - 2*l**3 - l**2 - 3*l**3).\nAnswer: -60*l**5 + 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 74 = 5*s, -3*l + 7*l = -5*s + 88. Let f = s + -12. Suppose -2*w + 8 = 2*t - 2, -4*t - 4 = -f*w. Solve 5*k - t*z = -7 - 9, -k - 3*z + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10353173 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-98)\/((-86)\/120 + 1). Let s = l - -346. Let y(q) = q**3 - 10*q**2 - 12*q + 8. Let t be y(11). Which is the biggest value? (a) s (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6243 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 2:17 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15*f + 2833 = 14*f, 4*l + 4*f - 2828 = 0. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssvsvsssvvvh. Give prob of sequence vs.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 3*k, 4*k - 1 = -5*v - 6. Let w = 10 - v. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122161023 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 26. Is 26 a factor of s(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3702*j**2 - 815 + 406 + 409.\nAnswer: -3702*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let m(c) = -3*c**2 + 57*c. Determine b(m(x)).\nAnswer: 9*x**4 - 342*x**3 + 3249*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*x = 37071, -3*b = b - 8*x - 29668. List the prime factors of b.\nAnswer: 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 2*b + 9. Let x(r) be the second derivative of r**4\/12 + r**2\/2 + 4*r. Let d(o) = 2*m(o) - 18*x(o). Find the second derivative of d(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h**2 - 7*h**2 + 7214*h - 12962*h + 5748*h.\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -6 - (-3)\/4*-1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, r: 1, d: 3, y: 1, p: 4}. What is prob of picking 1 r, 1 y, and 1 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11021555.\nAnswer: 5, 829, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(11) + -5 + 2 + -4.\nAnswer: -6 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - -0.1. Suppose 0 = 2*w + 3*w - 30. Let b be (w\/(-8))\/(-1 + 7). Sort g, 3, b.\nAnswer: b, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3*m + 2*g**2 + 3447*g*m - 10*g - 3357*m - 2174 wrt g.\nAnswer: -12*g**2*m + 4*g + 3447*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 897340 (base 11) in base 12?\nAnswer: 58b5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 o when four letters picked without replacement from {k: 10, f: 5, o: 4}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/18)\/((-6)\/369). Let u = -58 - v. Let l = u + 36. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - h = -0*i - 24, -2*i + 5*h = 28. Suppose -3*d - 2*d = l - 25, -3*d + l + 7 = 0. Suppose -d*p = p. Put i, p, 4 in decreasing order.\nAnswer: 4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-27) + 1084\/18. Let t be (-4)\/14 + d\/14. Suppose -t*i - i = -35. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q = -4*q + 864. Solve -q*z + 29*z = 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 305*a**2 + 1219*a - 4. Let j be d(-4). Let s be (-10)\/(-3) + 1\/(-3). Suppose 3*g + 3*n = 6*g - 9, -4*g - n - s = j. Which is greater: g or -1\/40?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 - 2*c + 1. Let q be g(-2). Let s be 10\/(q - 16\/17). Calculate the highest common factor of s and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxxxxxxxxx. What is prob of sequence xx?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222682 (base 13) to base 16.\nAnswer: -55f01f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20935\/158)\/(-53)*(-430)\/25?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 955558 and 1794.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39924, 79864, 119816, 159786, 199780?\nAnswer: 239804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.02 + -0.02. Let g = -4.1 + f. Which is the smallest value? (a) 0 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 - (-275)\/((-11550)\/(-4536)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 90, 208, 342, 498, 682, 900, 1158?\n\"Answer: m**3 + 2*m**2 + 105*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63995512 to the power of 1\/2, to the nearest integer?\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, -5, 5, -4 in decreasing order.\nAnswer: 6, 5, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1211021202 (base 3) to base 11\nAnswer: -24aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/3998 - 9004\/33983. Let f = -61\/102 - a. What is the smallest value in f, 5, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 - 1150\/15*(-19)\/(-95) and 4\/18 - 10\/(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 0 = 126. Suppose -4 = -4*t - 2*s, 0*t - 4*s = -2*t + 12. Suppose 2*o + 2*o = -l + p, t*o = -2*l. Solve o*n = 0, 0 = c - 0*c - 3*n - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 - 7*l + 18*l - 17*l - 12*l + l**3 - 6. Let x be q(9). Let n be (x + (-44)\/(-8))\/((-1)\/6). Calculate the greatest common divisor of n and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 10*t**2 + t - 8. Let m be g(10). Suppose -3*s**3 + 0*s**2 + 0*s**m + 3*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23110310310 - -2320?\nAnswer: -23110301330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 147.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 + 201\/2. Let y = 7 + -5. What is the common denominator of i and 3\/(-72)*166 - y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68003\/30 - 2270. Find the common denominator of s and 1\/15*1192\/16.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 11. Let s be -2 - ((-4)\/(-1) + -1). Let p be b(s). Let y = p + 0. What is the lowest common multiple of 10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -1.75327\nAnswer: 12.27289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*g = -0*o - 13, 0 = 2*g. Is o != -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1230123100101?\nAnswer: -1230123100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -69. Let o be (1*(-1)\/f)\/((-1)\/10). Solve 6*s - o*t = s, 4*t = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {s: 5, x: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.1581.\nAnswer: -0.06324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 22*d + 1598. Let v = d + 171. Suppose 5*u + 13 - 93 = 0. Calculate the remainder when v is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2036262 or -499?\nAnswer: 2036262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31.69818 nanoseconds?\nAnswer: 0.03169818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.441 weeks to microseconds.\nAnswer: 288756316800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 3*a + 3*a. Let r be a\/(-20)*(-1 - 5\/3). What are the prime factors of 15*(-2)\/(r + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 46 = 7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 12:16 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g - 332 = 115*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**4\/4 - 11*x**3 - 30*x**2 + 96*x - 3554. Solve f(v) = 0 for v.\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) + 8612\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3243*m - 4108. Let v be j(-18). Round v to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-36)*(-11)\/121.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 10, 2.\nAnswer: -4, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 10. Let k be f(-8). Suppose -k = -2*h, 5*y + 2*h - 9 = 2*y. Is (2 + -3)\/y + 15 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z. Let i(d) = -8*d**2 + 10*d. Let h(c) = -i(c) - 10*m(c). Let t(u) = -u + 1. Let b(k) = -6*k + 5. Let o(r) = b(r) - 5*t(r). Determine h(o(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + 19283\/22. What is h rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.1 (c) -0.36 (d) -5 (e) -0.2 (f) -4.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 2*k - 1. Let b be m(-1). Suppose 0 = -27*h + 32*h - 60. Suppose 5*d = h*d + 21. Sort d, -5, b in descending order.\nAnswer: b, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 3. Let l = 2 + g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 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: Calculate the lowest common multiple of 450 and 270.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z - 239. Give y(22).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in 26, -2, -2\/895?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a factor of 165081882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 36. Let l(w) = 7*w**3 + 19*w**2 + 3*w + 13. Let j be l(-3). Is 10 a factor of (-60)\/126*c - 4\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39\/85 + -1\/17. Let z = -43.5 + 48.5. Which is the nearest to 0.2? (a) -1 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c627d + -11b?\nAnswer: c6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*v**2 - 70*v**2 + 152*v**2 + (-3*v - v + 5*v)*(-v - 3*v - v) + (-3*v + 6*v - v)*(1 - 1 + 2*v).\nAnswer: 142*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + (5 - 11))*(-21)\/2. Suppose -2*w = -24 - 2. Calculate the remainder when z + -1 + 1 + 4 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 - 10*p**4 + 95*p**3 + 100*p**2 = 0.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-4))\/(-4) + 2. Let v(y) be the first derivative of -1 + 0*y + 1\/2*y**i. Let c(s) = -s. Calculate c(v(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -3) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -20. Let w be (2 - -9)*3\/l. Let k = w - 4. Which is the nearest to 0? (a) 0.3 (b) 2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666778 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1108 + -1108.4. Let b = -112 - -159. Put w, b, -5 in decreasing order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (-3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 155 - 13 = 0. Let d = x - 31. Let i(c) = c**3 + 30*c**2 - 34*c - 86. What is the remainder when d is divided by i(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 721 - -2668. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1897.23 - -1907. Let v = 0.92 + -0.65. Let u = v - q. What is u rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -68*c + 199. What is t(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-72) + (-6)\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216892 is divided by 2621?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165.21 + 165.27. Let f be 0 - ((-4)\/10)\/(-1). Let a be (0 - 2\/2) + 1. What is the nearest to a in 4, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 55*h**2 - 40*h**2)*(-2*h**2 - 2*h + 2*h + (2*h**2 + 3*h**2 - 3*h**2)*(4 + 0 - 2) - 1 + 1 + 3*h**2).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 2. Suppose i - y = -1. Let v = 3.4 - 0.4. What is the closest to i in v, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 - 209. Solve c = -3*a - 3*z, -3*z = a + 12 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.023 + -0.125. Let p = -0.013 - d. Let z = -0.126 + p. What is z rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**4 - 12*w**4 - 8*w**4)*(-1 + w + 1) + 420*w**5 + 121*w**5 - 131*w**5.\nAnswer: 396*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*r - 339*r - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9929 and -5?\nAnswer: -49645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-1960)*14\/(-30)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -41*q + 1. Let l be m(-3). Let z(w) = -83*w**2 - 1. Let b be z(1). Let v = b + l. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*m + 3*m = -20, -j + 2 = m. Suppose -j*f + 690 = -474. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from sllis.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkwckwqc. Give prob of picking 2 q and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669560 is divided by 4561?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 282595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78, -159, -240, -321, -402?\n\"Answer: -81*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*d + 4*d - 4, -14 = 4*d - 3*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-22)\/(-539) + 88\/14. Suppose 5*m - 9*k + d*k - 49 = 0, -5*k = -5*m + 45. Let v(h) = -h**3 + 12*h**2 - 11*h + 10. Determine v(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(1\/24)*y*y*y)\/y*y)**(-2\/5) assuming y is positive.\nAnswer: y**(-97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*x + 3*x = 2, -2*o - 2 = 5*x. Let f = -6 + o. Let n = f + 32. Solve 4*g - 4 = -n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 4*h. Let k be r(-4). Suppose k*a - 3*a + 78 = 0. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346976?\nAnswer: 2, 71, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -49381 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025124855 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 p when three letters picked without replacement from spsjhpp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*k = 11, 6 = 4*k + 2. Suppose 0 = g + r*g + 32. Let l(s) = 2*s + 22. Calculate the remainder when 15 is divided by l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144010320 (base 5) to base 8.\nAnswer: -12277344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -8. Let n(k) be the third derivative of -k**4\/24 - k**3\/6 - 2*k**2 - 10. Let z be n(t). Solve -z*b + 3*g + 25 = 0, 3*b = -2*b - g + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -22 (b) 5 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 9, 20, 33, 48, 65?\n\"Answer: m**2 + 6*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:35 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21410 divided by 5?\nAnswer: -4282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, -2589, 120 in descending order.\nAnswer: 120, -168, -2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g - 6 = -65*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*w + 2*w. Let f(u) = -u**3 - 9*u**2 - 6. Let c be f(w). List the prime factors of (16\/(-10))\/(c\/45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/20)\/((-10)\/(-450)*18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*q + 69*q - 2*s + 25, -5*q - s = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 - 2*v**2 - 20. Let p(u) = 7*u**3 + u**2 + u + 22. Let y(s) = -6*j(s) - 5*p(s). What is y(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71232.779 + -71238.7789998. Let f = 6.12 - 0.12. Let l = t + f. What is l rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770639 to the power of 1\/2, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3623030 (base 8) in base 15?\nAnswer: -149262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.3 - 0.\nAnswer: -85.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275802635.\nAnswer: 3, 5, 85053509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c + 5*c - 4*c)*(28 + 2 + 0)*(0 - 2*c + 0)*(2 + 9 - 7) to the form o*c**2 + p + n*c and give o.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900538 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: Simplify k*(k*k*k**(-1\/4)\/k*k)\/k*k*k*k*k**(2\/3)*k**(-2\/19)\/(k*k**(-2)\/k) assuming k is positive.\nAnswer: k**(1667\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-12))\/(1\/(-3) + 0). Let q(u) = -u - 1. Let n be q(z). Solve n = -c - 2*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5452 = -141*j - 8977 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 5005*a - 45044. Calculate i(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115, -145, -849, -2219, -4477, -7845, -12545, -18799?\n\"Answer: -37*k**3 - k + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 4*m**4 - 2*m**4 + (m**2 + 2*m**2 - 2*m**2)*(0*m**2 + m**2 - 2*m**2) + 2*m**4 - m**2 + m**2 + 9*m**4 + 32*m**4 + 12*m**4.\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 566 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4329775 (b) 4\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4617803 > -4617753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 13*p + 45. Let c(g) = 2 - 3 + 2 - 391*g + 390*g. Let d(l) = -18*c(l) + 2*k(l). Factor d(i).\nAnswer: 4*(i + 2)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 20 = b + 2*r, b + 4 = -4*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 2*v**2)*(-v + v + 3*v) + 4*v**3 - v**2 + v**2.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -440*n - 860. Give j(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4, 63*j + 4*n = 67*j - 18376. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 a factor of 2744126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-15)*(-20)\/(-8). Solve 5*a - 8 = b*u, 4*a + 19 = -5*u - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-48)*-4 + 26\/12. Let g be (4 - 7) + 188\/p. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(153) + sqrt(153) + -2 + -4 - (sqrt(153)*1 - sqrt(153))*-5) + (4 + sqrt(153)*2)*1)*1)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62143474 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 5807152.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let z(x) = 176*x - 22*x + 43*x - 11*x + 178*x. What is z(l(t))?\nAnswer: -728*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Suppose -c = -x - x. Suppose -x*j = -2*u + 33, u - 48 = -2*u + 4*j. What is the lowest common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.759465 centuries to years.\nAnswer: 575.9465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f - 3. Let g(d) be the third derivative of 17*d**4\/24 - 7*d**3\/6 - 2*d**2. Let a(y) = 5*c(y) - 2*g(y). What is the derivative of a(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 + 2. What is the least common multiple of (-20 + 0)*(-4)\/4 and t(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 704*b**4*p - 1611*b**2*p - 2*p wrt b?\nAnswer: 16896*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311 + 3*y - 4*y - 322 + 5*y + 458 to the form v + r*y and give v.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -458 and -149.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8171582, -8171579, -8171574, -8171567, -8171558, -8171547?\nAnswer: -8171534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -5027639\nAnswer: -11\/5027639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1677 divided by -303\nAnswer: 559\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -111101234 (base 5) to base 15\nAnswer: -9977e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 times -60.029?\nAnswer: 5822.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 8 = 5*s, -2*s + 7*s + 10 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1084, 1060, 1036, 1012?\n\"Answer: -24*s + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(14\/28)*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udxwixwxvdd. Give prob of sequence iv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 7*z**2 + 8*z + 2. Let m be w(8). What is the highest common divisor of m and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/75)\/((-6)\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4263919.\nAnswer: 11, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010379464 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24495\/(-1265) - -19 - (2335\/(-220) - (-1)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*l**2 - 692*f*l - 215*l**2 wrt l.\nAnswer: 2*f - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/(-6) - (-48)\/11 and 36\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b + b + (3*b - b - 3*b)*(-4 + 4 - 1))*(3*b - 5*b + 0*b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -19?\nAnswer: -40\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/4))\/(m*m**(1\/4))*(m**1)**(-10) assuming m is positive.\nAnswer: m**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-36) + -4 - 1\/4)*(-30576)\/637.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3296 and 28222.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279 - -316. Suppose h - 6*h + i = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-120)\/(-35))*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 2*z**7\/105 - 29*z**6\/120 + 17*z**5\/15 + z**4\/24 + z**2 - 82. Find the third derivative of y(b) wrt b.\nAnswer: 96*b - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 6*d + 42 - 84 - 4*d.\nAnswer: -10*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 4 = 12*r. Let c be 30 + (-6)\/r - -3. What are the prime factors of 1\/3 + 132\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -285 - 317. Let f = v - 174. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - (-14)\/3. Let n(m) be the first derivative of m**2 + 3*m + 4. What is the tens digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 7. Suppose -2*t = -4*t - o. Let k be 106001 + 1 - (-6)\/t. What is k rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -63\/80*t**5 - 19\/2*t**3 - 3*t**2 - 209*t + 0 + 41\/8*t**4. Solve m(q) = 0.\nAnswer: -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7063 times 0.07?\nAnswer: -494.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x)\/((x**(-1\/2)*x)\/x)*(x\/x**(-1\/2))\/((x*x**(2\/15))\/x) assuming x is positive.\nAnswer: x**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14911, 14898, 14869, 14818, 14739, 14626, 14473?\nAnswer: 14274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9234.124 litres in millilitres?\nAnswer: 9234124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 6*o. Let r = 16 + -9. Let b(a) = 0 - a + 3 - 2 + r*a**2. Give b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 7. Let y be h(-5). Let m = -30 - y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 - 38 = -6*v. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8383 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(42)\/sqrt(6)*1)**2 + 0 + sqrt(847) + sqrt(28)\/(sqrt(256)\/sqrt(4)) + -5.\nAnswer: -2 + 45*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349560.\nAnswer: 2, 3, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:06 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -171 + 0?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -0.196490126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2902873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - p = -6*p + 42, -p - 6 = u. Suppose 0 = 4*f + 4 + 8. What is the units digit of -3*(0 - u)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 38*r - 42*r + 8. Which is the closest to -2\/155? (a) r (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.978 - -37.3. What is n rounded to 2 decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 6*x + 1. Let h(t) = -6*t - 10. Let g(j) = -j - 2. Let u(d) = -11*g(d) + 2*h(d). Let b be u(8). Is c(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 4*j + 92 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 12 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -123c28d (base 14) to base 6\nAnswer: -511343113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/4 - 3*v**3\/4 + 15*v**2\/2 + 32*v + 24.\nAnswer: -(v - 6)*(v + 1)*(v + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-38 + 16 - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -289, -568, -781, -892, -865, -664, -253?\n\"Answer: 6*z**3 - 3*z**2 - 312*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -18660*l**2 + 5500*l**3 - 6825*l + 34825*l - 15680 + 131*l**4 - 736*l**4 = 0.\nAnswer: 2, 28\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 - 5*g - 3. Let p be q(5). Let f be ((-2)\/5 - 224\/(-385))*1. What is the nearest to p in 3\/4, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + c + 10, 5 = 3*q + q - 5*c. Let k be (3376001 - 1)*(q - 90\/(-12)). What is k rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 21. Suppose -3*j - 3*m + 3 = -0*m, -b*m - 4 = -4*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -1 - (94 - 82).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64655*i - 884 + 17999*i - 884 + 1768.\nAnswer: -46656*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlo when three letters picked without replacement from {g: 2, o: 1, z: 1, l: 1, r: 1, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 62*m**2 + 233*m + 6714. Calculate v(-64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*b = 321, 2*r + 0*b = 2*b - 164. Which is greater: -91 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483800 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 1050292.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61312261 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 23. Calculate i(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13080 - (-1)\/(-3)*0. Suppose -w = 4*w + k. Let h = 7216 + w. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**8\/110880 + k**7\/3960 + k**6\/660 + 7*k**5\/12 + 2*k**2. Let q(c) be the third derivative of n(c). Factor q(o).\nAnswer: 2*(o + 1)*(o + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 1 + 0*o - 1\/3*o**3 - 1\/2*o**2. Let m(w) = 2*w**2 + 2*w. Let h be (4\/6)\/(6\/(-9)). Determine h*m(u) - s(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mss when three letters picked without replacement from {m: 4, s: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/11 - 13730440*d\/11 + 96113178\/11 = 0. What is d?\nAnswer: -6865227, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t**2 + 0*t**2 + 5*t**2. Let f(a) be the third derivative of -a**5\/60 - 57*a**2. What is f(o(b))?\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-62))\/((-1)\/(-6)*-3)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 354476852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167927 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 + 4*k - 2. Let b be q(-5). Suppose -3*u + s = 3*s + 1, -b*u + 5*s + 13 = 0. What is the units digit of 4\/u + (-12)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -3, 1.\nAnswer: -11, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521 + 323104?\nAnswer: 325025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2211 - 0.4.\nAnswer: -2211.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-20 - -20) + -21 + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2111, -4120, -6129, -8138, -10147, -12156?\n\"Answer: -2009*k - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -26, 394, 0 in descending order.\nAnswer: 394, 14, 4, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8216 and -107\/20540.\nAnswer: 41080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.01, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 - (-6 + 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.80551 milliseconds to hours.\nAnswer: 0.000144945975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.172 + 0.172. What is the closest to n in -0.4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -4 - -18 - (-14 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21650 and 23860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -115. Calculate the lowest common multiple of x\/(-21)*6\/(-4) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 20.2. Let c = 2 + u. Let w = 11.80063 + c. Round w to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 7) in base 2?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, m: 2, j: 3, n: 1, p: 2}. What is prob of sequence mjmp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**3\/3 + 23*f**2\/2 - 34*f + 12. Let k be u(-25). Solve 5*x + 3*h + k = 0, -1 + 3 = 2*x - 3*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4017 and 35\/468?\nAnswer: 48204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138164179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763728769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33319928 or -33319923?\nAnswer: -33319923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.7828.\nAnswer: 2.3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-3 + 2) - 60. Let i be ((-48)\/l)\/(4\/14). Suppose -2*v**i + 10*v**2 - 11*v**2 + 3*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 2 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064236 (base 7) in base 6?\nAnswer: 5214545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 13*a = -w + 15, 5*a - 19 = -w. Calculate the highest common divisor of w and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z)*(0 + 0 - 2)*(-z**3 + 9*z**3 + 11*z**3) + z**2 - z**2 - 2*z**4.\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, 6\/5, 4, -9, -3\/2, 20?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1937326.3838 and -29.\nAnswer: -1937355.3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.014, 0.04, -4 in descending order.\nAnswer: 0.04, 0.014, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -502950*w*y**3 - w*y - 727*y**3 + 901*y wrt w.\nAnswer: -502950*y**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8963 - -10386. What are the prime factors of v?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2604076.\nAnswer: 18228532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 + 4. Let r be a(3). Suppose 4*p + r*p = 48. Suppose -p*s + 2*s = -92. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*l - 34826, 4*m - 69652 = -48*l + 51*l. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432084513?\nAnswer: 3, 7, 1637, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 4*u**2 - 10*u - 1. Let n = -14517 + 14514. Calculate a(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**4 + 17014*u**3 - 94*u + 668929333?\nAnswer: -8*u**3 + 51042*u**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8160\/(-146880))\/(59\/(-18))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-8)*u**(2\/27)\/(u**(-1\/9)*u) assuming u is positive.\nAnswer: u**(86\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/120 + d**5\/30 + d**3\/2 - 9*d**2\/2 - 4*d - 103. Let h(b) be the second derivative of r(b). Calculate h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a + 18 = -4*b, 5*b + 25 = 0. Suppose 0 = -4*m + n + 2*n - 25, -2*n + 18 = -3*m. Sort -1, m, a.\nAnswer: m, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1030?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -74. Suppose 9*f - 10*f = -t. Suppose f = p - 6. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 + c**2. Let y = 42 + -39. Suppose 3*r + 0 + y = 0. What is d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let j be 1 - -16 - 0\/(-2). Suppose m*r - j = -r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -0.144 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*s + 99 - 13641 - 21890 = 0 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from sssjt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n - 69*n + 366 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2350 = 6*s. Let q = 7718068499\/6550914 + 2\/1091819. Let d = q + s. Find the common denominator of d and 1\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 630, 913, 1176, 1413, 1618?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 32, -4, -362 in descending order.\nAnswer: 32, -4, -10, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 29. Suppose o*f = -5*q + 6*f - 23, -4*q + 2*f - 20 = 0. Put q, 5, 0 in ascending order.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 40919\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3 + sqrt(32)) + 6*(-3 + sqrt(128)))*4)**2.\nAnswer: -15360*sqrt(2) + 53504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 1.2058\nAnswer: 36.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1720)\/3800 - 2\/(-38).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72))\/(sqrt(36) + -2*sqrt(36)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 162902 + 2bc?\nAnswer: 162bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 103042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3 - g + 1\/5*g**5 + 0*g**3 - 1\/2*g**4 + g**2. Let f(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 - 2 = 0. Suppose -3*m - 2874421 = d, -q*m + 4*d = 4087426 - 254854. Let w = m - -268141. Round w to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 + 282*x + 336. Calculate z(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 - 2051 - 5*t**2 - 2559 + 4268 to a*t + s + p*t**2 and give s.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1479, 5839, 13111, 23301, 36415, 52459, 71439?\n\"Answer: k**3 + 1450*k**2 + 3*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/30)\/(2\/(-12)). Suppose -2*m + 4*m - 20 = 0. Suppose m*z + 4 = 14*z. Solve z = 4*t - 4*p + 5, -5*p = f*t + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:23 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 5. Suppose -3*u + 0*u - 6 = 0. Let b be h(u). Solve m + b*m = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssssshsssssssss.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17118, 68514, 154244, 274368, 428946?\nAnswer: 618038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 697313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3108 and 370?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*b + 77*b + 8*b**3 - 3*b**3 + 10 - 6*b**3 to k + j*b + m*b**2 + z*b**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -152114 greater than or equal to -152121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 651.4 - 651. What is the third biggest value in 69, v, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341887 is divided by 5008.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) -2\/879 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 + 261*d + 1828\/7.\nAnswer: -(d - 1828)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/3*2\/4*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136281183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -642, 0, 0.5, -0.7, -3\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48308000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/6*(-1 + -1). Let c be (-1)\/(-2)*6*1. Differentiate -x**c - 6*x**4 + 8*x**4 + x**h + 2 wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.1 - 36. Let o = w - -1.8. Which is the closest to -2? (a) o (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 1993 = 1888. Let s(l) be the third derivative of 0 + 1\/60*l**5 + 0*l**4 + 0*l + 0*l**3 - f*l**2. Let h(n) = -2*n. Calculate h(s(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11444048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -302170.6 + -92506.4. Let y = a - -394676.9100065. Let w = -0.09 - y. What is w rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 22. Suppose -b = -2*v + 5. Determine c, given that -c**5 + 2*c**5 + 8*c**3 - v*c**5 - 4*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0 - w - 1\/12*w**4 - 1\/6*w**3 - 5\/2*w**2. What is n(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (726\/(-432))\/((-1)\/(-3)) and (110\/(-45))\/((-16)\/132)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from agojx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -809, -1636, -2463?\n\"Answer: -827*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 16*v + 63. Let s be f(-9). Let r(m) be the third derivative of 3\/8*m**4 + 2*m**2 + 0 + 0*m**3 + s*m. Calculate r(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1248, 0.6, -63, 2\/17, -0.8 in descending order.\nAnswer: 0.6, 2\/17, -0.8, -63, -1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0042, -107, -453, 2\/7?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1121 + 8887\/8. What is the common denominator of f and -73\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 - 13*y**2 - 4*y - 3. Let v(c) = 2*c**3 + 12*c**2 + 3*c + 2. Let f(w) = 4*v(w) + 3*x(w). Calculate f(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(((s*s**5)\/s)\/s))\/s*s)**34*(s**(-2))**(-11) assuming s is positive.\nAnswer: s**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 749766467 to the power of 1\/2, to the nearest integer?\nAnswer: 27382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.072 - -0.072. Let p = -87 - w. Sort 0.1, p, -5\/4, -2\/11 in increasing order.\nAnswer: -5\/4, -2\/11, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**3\/6 + b**2 - 2*b + 1. Let h(a) be the first derivative of f(a). What is the first derivative of h(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 508, 954, 1400?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 17*s**3 + s**2 - s. Let x be a(1). Suppose 3*o - 7 = x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92408\/3, 0.06, 0.17 in descending order.\nAnswer: 92408\/3, 0.17, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -2)**2*3 - (0 + (sqrt(243) + 0 + sqrt(243))**2).\nAnswer: -231 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -2. Let d = -4.849 - 0.071. Let x = -0.08 + d. Which is the third biggest value? (a) x (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -31. Let v = b + 28. Put -4, v, -2\/5, 2 in ascending order.\nAnswer: -4, -2\/5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 2 = -g - 3*a, 2*g + 3*a = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 33 + 10)*(1 + 3 - 3)*(-5*q - 9*q - 12*q).\nAnswer: -1482*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -334*k**2 - 3*k - 180. Let t(n) = -668*n**2 - 5*n - 359. Let z(s) = 3*t(s) - 5*x(s). Differentiate z(i) wrt i.\nAnswer: -668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436012\/35 greater than 12456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/14 + 12\/7. Suppose 0 = -5*o + 3*g + 25, -3*o + 16 = g - 3*g. Is o bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*l - 117, 3*w + 3 = 12. Suppose 2060 = 44*t - l*t. Calculate the remainder when t is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -2\/9, 1, 2\/3, -8\/19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7036?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - 17) - (6 + (-12 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:08 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 29*k**2\/6 - 2*k\/3 + 29\/6.\nAnswer: (k - 1)*(k + 1)*(4*k - 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310833063.\nAnswer: 3, 23, 31, 59, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let u(o) be the second derivative of 11*o**5\/120 + o**3\/3 + 2*o. Let y(f) be the second derivative of u(f). What is y(l(m))?\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*t - 49*t + 16*t + (-31*t + 10*t + 11*t)*(-2 + 4 - 5) - t + 0*t - t.\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + v)*(-14340 - 12*v**2 - v - v**2 + 14341).\nAnswer: -13*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -234*t**3 + 3*t**2 - 5*t + 6. Suppose 121 = -3*f - u - 3*u, -4*f - u = 183. Let n = f + 50. Let b be p(n). Round b to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, i: 4, a: 3, p: 4}. Give prob of picking 1 d and 2 p.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7684438.\nAnswer: 2, 23, 89, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 13)*(-2*q**2 + 3*q**2 + q**2) - q + 2*q**2 + q.\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 5 - 2*t - 16. Let f be b(23). Suppose -4*z + 5 = f*c + 1, 0 = 4*z + c - 8. Solve 2 = -z*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmc when four letters picked without replacement from {g: 1, j: 4, p: 1, c: 2, s: 4, m: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18666 rounded to 3 dps?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10\/9)\/(g**(-6\/11)\/g))\/(g**(1\/8))**(-44) assuming g is positive.\nAnswer: g**(1175\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4465473 + 175?\nAnswer: -4465276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -532 divided by -1468\nAnswer: 133\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -139*n + 590. Calculate the remainder when k(-6) is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444046 is divided by 34157.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 7*j - 19*j + 192. Let w(d) be the first derivative of -40 - d**4 + 4*d**3 + 2*d**2 - j*d - 4\/5*d**5. Determine m, given that w(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1230)\/(-14))\/5*(-3227)\/(-1383)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*j = 6*f - 10, -j + 1 = f. Let v = 4 - f. Are v and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 9*c - 18. Let n be v(4). Let r be (288\/(-8))\/n - (-2 - -4). Let u(l) = l**2 - 6*l - 2. Give u(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4440 and 241492155.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3854291 and 59976.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400 - 370. Calculate the remainder when 957 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13215 is divided by 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*u + 467, 0 = 8*n - 13*n - u + 2263. Solve -9*k = -n + 434 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Suppose 76 = u - 2*v - 133, 0 = -5*u - k*v + 1017. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 35. Let x be (-8)\/(-42) - (72\/(-14) - (-4 + -1)). Which is the closest to x? (a) 3 (b) -0.4 (c) 1\/5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 784*i**2 - 292*i - 8081. Determine t(-261).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 412410 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545636, -545507, -545378, -545249, -545120?\nAnswer: -544991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let v(x) = -4*x**3 - 10 - 3*x**2 + 3*x + 0*x + 5*x**3. Does 18 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.9674374 rounded to 3 dps?\nAnswer: -60.967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2*u**4 - 2*u + 2*u**4 + 0*u**4 + 0*u**4 + (4*u**3 - 2*u**3 + 0*u**3)*(0*u + 5*u - 4*u) - 2*u**4 + 5*u**4 - 2*u**4 + 320*u**4 + 2 + 1 - 313*u**4.\nAnswer: 14*u**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*j - 5750 = 44*j + 9190 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18422326, 18422333, 18422342, 18422353, 18422366?\nAnswer: 18422381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 17*c. Let k be -2*(c - (3 + -1)). Suppose -4*b - k = 0, f = -0*b + 2*b + 100. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 103*q + 46)*(2*q - 2*q - q + 1).\nAnswer: 103*q**2 - 103*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 222 = -225 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.4199 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(60 + -56 - -10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -g + 5, -1681*x - 3*g - 113 = -1727*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1023293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*x - 730 + 0 = 0, 4*o - 2*x = 2896. Let k = 1509 - o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 16*p**2 + 3*p. Let k(d) = -7*d**3 - 32*d**2 - 7*d. Calculate -4*k(q) - 10*z(q).\nAnswer: -2*q**3 - 32*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/18 - 38*j**3\/9 + 24*j**2 - 3*j - 450. Determine t, given that a(t) = 0.\nAnswer: 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**3 + v**2 - 6 - 14 + 2*v - 2*v as d*v + c*v**2 + x*v**3 + g and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(224) - sqrt(224))*-5)\/(sqrt(28)\/sqrt(112)))\/((sqrt(1152) - sqrt(1152)*-3) + sqrt(8) + sqrt(56)\/sqrt(7)*6)*3)**2.\nAnswer: 1008\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8145732 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 7797 and 467731\/60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o. Let q(b) be the second derivative of 5*b**3\/6 - 38*b. Calculate q(y(d)).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - 4*p**3)*(5 + 9 - 3).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f = -20*f - 20 - 40 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/7 (c) -6\/11 (d) -1.6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -109, -343, -795, -1537?\n\"Answer: -12*y**3 - y**2 - y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, -0.3, -19, -2\/15 in ascending order.\nAnswer: -19, -5, -0.3, -2\/15, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -120*m**3 + 57*m**2 - 7*m. Let r(n) = -121*n**3 + 57*n**2 - 6*n. Let a(t) = -6*j(t) + 7*r(t). Find the third derivative of a(y) wrt y.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-652)\/16 - (-2)\/(-8). Let h = -37 - d. Suppose -89 = h*q - 5*l - 492, 5*q - 473 = -4*l. List the prime factors of q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*-1*(0 + 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*b = -21, 3*l = 5*b - 29 - 14. Let u(f) = -f - 1. Determine u(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - 5)\/1 - 4)*9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-80)\/1700)\/((-2)\/(-50))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -22*g. Let o be z(2). Let v = o - -72. Let m = -534 + 538. Calculate the greatest common factor of m and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -40*i + 47. Let q(w) = -17*w - 9. Let h be q(0). Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/32527?\nAnswer: -2\/32527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -114224 (base 5) in base 2?\nAnswer: -1000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 4}. What is prob of sequence nn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200010021222 + -10102?\nAnswer: -20200010102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 14. Let z = 63 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -385, -5, -4?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -745 - -62. What is j rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 2934*b - 6456267.\nAnswer: -(b + 4401)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/600*80 - 54\/90. Let p(l) = -10*l + 43. Let h(v) = -21*v + 87. Let x(u) = -6*h(u) + 13*p(u). Calculate x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 6. Let q be (-590)\/a - 4\/14. Let w = q - -25. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-54)\/(-45)*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137 * 0.5\nAnswer: 68.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065569.74 rounded to the nearest 10000?\nAnswer: 7070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 12 = -48. Suppose -u*w = -13*n + 8*n - 106, 31 = w + n. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -2312, -5269, -9424, -14777, -21328?\nAnswer: -29077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - h**2 - 6*h + 2*h**2 + 7*h**2 + 4*h**2 - 3*h**3.\nAnswer: -3*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.205 and -34.\nAnswer: -6.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 17) + -19 + (24 - 12)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 58*z - 229. Let b be v(4). Solve 0 = c - 3*u - 0 - b, 5*c - 15 = 4*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = v. Let d(u) = -15*u**3 - u**2 - u - 1. What are the prime factors of d(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67393230 divided by 13478646?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4516376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*j - 161, 3*s + 3*j = 48 + 27. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1301767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 400 (d) -3 (e) 0 (f) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6542*o**2 - o + o**4 + 3*o**3 - 6557*o**2 + 2*o in the form f + d*o**4 + m*o + s*o**3 + b*o**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -v - 3*x + 7, -4*v - 4*x + 56 = 0. Solve 7*y = v - 46 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 + -130 - (-2 - -12 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 6*i**2 + 5*i**2 + (-i - 2*i + i)*(-i - i + 3*i) - 3*i**2 + i**2 + 0*i**2 - 3*i**2 - 3*i**2 - i**2)*((1 + 2 - 2)*(1 - 1 + 1) + 2 + 0 + 0).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1*(0 + sqrt(7)))**2*6.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from fdfafdddrii.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 11 - 3 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20\/(-2)*(24\/16 - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 735 + 0?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 14 - 14 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 3*o - o**3 - 4*o**2 + 2 + 5*o. Let v(d) = -7*d - 7. Let z be v(-3). Suppose -3*h = -4*u - z, -2*u - 3*h + h - 14 = 0. Determine a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 111*i**2 + 3*i + 3. Let n be r(-1). Let h = n + -115. Let p(m) = 2*m**2 + 5*m + 5. What is p(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/36)\/(410\/328).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let o(j) = -1 - 2*j + 2*j + 2*j - 3*j. What is o(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*n = 390*n + 126 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 209382501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95*p**2 - 74 + 74)*(6*p + 12*p**2 - 16*p + 0*p + 10*p) to q*p + f*p**4 + a*p**3 + g + c*p**2 and give f.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 5*l**2 + 9*l - 1. Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -113?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3*u**2 - 41*d**3*u + 3*d**2*u + 74*d**2 - 261*d*u**2 + 3*d + 8382*u**2 - u wrt u?\nAnswer: 8*d**3 - 522*d + 16764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/6 - 5*c**2\/2 - 5*c. Let x be t(5). Let v(r) = -r + 1. Let k(q) = 7*q + 6. Let j(s) = -k(s) - 6*v(s). Give j(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291 (base 10) to base 5\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208) - (sqrt(13) - (sqrt(13) - sqrt(26)\/sqrt(2))*-6))**2 + ((sqrt(208)*-2)**2 - (1 + sqrt(637))) - (-3 + 0 + 1 + sqrt(5200) + sqrt(5200))**2.\nAnswer: -19648 + 153*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 - 17\/4*n**4 + 0 + 42*n + 0*n**3. Let d(r) = -r. Determine d(f(m)).\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -80. Suppose -u*a - 172800000 = -a. Round a to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {w: 2, a: 1, m: 5, c: 2, s: 6}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.938812us to nanoseconds.\nAnswer: 9938.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 38, 7, -9, -1\/2, -265?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1628.732 + -1620. What is h rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -57*s**2 + 675*s - 4023. Give h(6).\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -2*c**7\/105 - 29*c**2. Let n(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71219 + 219685 = 5704*d for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(756)*-2)\/(sqrt(7) - (sqrt(7) + sqrt(21)\/(sqrt(3)*2))).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 2*t + 1. Let p be m(-1). Suppose -10*x + 111*x + 96*x = -788. Suppose -2*g = -5*g - 9. Sort p, x, g in ascending order.\nAnswer: x, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - 55\/(-20). Let l be 356\/16 - ((-6)\/(-8))\/(-1). Suppose 6*c - l = -17. Solve 4*f - c - h = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80470.8773 - -80466. Let x = h + -0.1077. Let a = 0.015 - x. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08471 * -14.6.\nAnswer: 1.236766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113, 114, 117, 122?\n\"Answer: m**2 - 2*m + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -30. What is the remainder when 127 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1453584 and 101\/847924?\nAnswer: 10175088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from {i: 3, l: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 19*i + 8. Determine l(-11).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 - 218. Let x = 15 + m. Sort -0.4, x, 2 in decreasing order.\nAnswer: 2, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 10, -4*c + 32 = 4*y. Calculate the remainder when 102\/(-4)*(-8)\/12 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/91)\/(133\/((-67032)\/144)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*1\/(-21)*4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, g: 5}. Give prob of picking 2 g.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135847 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-32)*b*b*b**(-22\/7)*b assuming b is positive.\nAnswer: b**(230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1362*f + 3778 + 1496*f - 1892 - 1886 to z + l*f and give l.\nAnswer: 2858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 42*r + 225. Let g be v(-10). Suppose 3*n + 0*n = 0. Suppose -3*a + g*a - 330 = n. Calculate the highest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 = 284*w + 902 + 1330 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1901851 + -1902639.563. Let t = 788 + s. Round t to two decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -1. Suppose -k = -h + 14. Let u = -6 + h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t + 15. Suppose 0 = h - t*h - 1580000. What is h rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-498)*((-1)\/11 - 82472\/74360)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6*w = 192. Let g = 29 - w. Factor 1\/3*b**3 + 0*b**2 - 2\/3*b**g + 0 + 0*b - 1\/3*b**4.\nAnswer: -b**3*(b + 1)*(2*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 14*p = -52066. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 804 = 33*o, 4*o + 2784*d - 76 = 2789*d for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**5 - 607601*r**4 - 36*r + 28028.\nAnswer: -60*r**3 - 7291212*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -651 or -404\/25?\nAnswer: -404\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640035677 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6816, -6813, -6808, -6801, -6792, -6781?\nAnswer: -6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1290 and 297415434.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 436 = -4*h, 5*h - 17 = 4*i - 589. Let b be 84\/h*(1 - -3). Let o = -2 - 2. Put b, o, -9 in descending order.\nAnswer: b, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10037, 21063, 32089?\n\"Answer: 11026*c - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/3 - 4*p**3\/3 + 101*p. Factor u(w).\nAnswer: 4*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 - -19. Let s = 1217 - o. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -4 + (-3 - -5). What is the common denominator of (-12)\/42*(-130)\/(-16) and (1143\/18)\/(8 - (z - 0))?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:03 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -321*l**2 + 2*l. Let q(h) = -3*h - 13. Give q(f(b)).\nAnswer: 963*b**2 - 6*b - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 64. Let r(y) = -y**2 - 3*y + 9. Suppose -2*t + 6 = 3*m, -3*m + 6 = -0*t + 4*t. Let a be r(t). Does 14 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102 divided by 4?\nAnswer: -1051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440715422 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*o + 3*d, o - 1 = 5*d + 6. Let q(y) = 3*y**2 - 10*y**2 + 6*y**o. Let n(f) = 6*f. Calculate q(n(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 4 = -11*n. Let t(f) = f**3 - 3*f**2 + 1. Let i be t(3). Let r(z) = 3 - i + z**n - 3*z**2 - z - 2*z. Give r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.68 + 6.66. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*t = -306*t - 42 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6. Suppose -i - 2*m = -7, 0 = 5*i + m - 16 - x. Suppose 0 = -i*t + t. Solve -14 = -5*s - g, -4*g = 2*s - t*g - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2298 + 1134. Let m = -1164.00757 - y. Round m to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 34*q - 6. Let m(r) = -21*r**2 + 2*r. Determine a(m(f)).\nAnswer: -714*f**2 + 68*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -120, 1, 4, 3, -18, -99 in ascending order.\nAnswer: -120, -99, -18, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*q - 408*q - 99892 = 681*q for q.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 29918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 12*n. Let g be u(12). Suppose 0 = 3*l - 0*l + 5*k + 88, g = -5*l + 2*k - 95. Is -22 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6963 - 229754\/33. Find the common denominator of 3*61\/24*(-21)\/63 and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.3895 * -176\nAnswer: 4116.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 24*p + 1. Let i(s) = 3*s**2 + 36*s - 3. Let x(d) = 8*c(d) + 5*i(d). Suppose -2*r - 9 = 9. Is 20 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 216*a + 3732. Determine y(42).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p - p)*(10 - 4 - 2*p - 8 + 57*p**2).\nAnswer: -114*p**3 + 4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58\/7 + 8. Is r less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**3\/c)*c\/c**(6\/5))**(-12) assuming c is positive.\nAnswer: c**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 - 0?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 8*z - 20*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/10)\/((-30)\/(-75)). Solve 2*w - m - n = 0, -3*m - 8 = -2*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -3. Calculate the remainder when 20 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 5*f**2 - 3*f - 10. Let x be p(6). Solve x = -i - 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + 3 + (sqrt(17) - (sqrt(51)\/sqrt(3) + -5)) - 1*sqrt(187)\/(sqrt(99)*2).\nAnswer: 5*sqrt(17)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 17. Let f(g) = g + 1. Let u be f(z). Solve 2*d = 5*c - 0*d, -u*c - d = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.44 - -28.44. Suppose -5*s + 4 + 11 = 0. Which is the second biggest value? (a) p (b) s (c) 5 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18) + 13\/(-39).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/(-4292) - (-19)\/(-333).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*w = -0*w + 144, c - 44 = -3*w. Let t = -27 + c. Solve 4*d - h + 2 = 0, 5 = -2*d + t*h - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 2*f**7\/245 + f**6\/42 - 61*f**5\/105 - 59*f**4\/14 - 60*f**3\/7 + 303*f**2. Solve u(y) = 0.\nAnswer: -3, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42016224 and 96?\nAnswer: 42016224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus -100.5511?\nAnswer: -99.3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*j + 27 = 0, -4*z + 9*j - 160 = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17578 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 2113\/96?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, 0.2, 2\/15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2407*p**3*u**5 - 2*p**3*u**2*x**2 - 18*u**4*x**2 + 122675*u*x**2 wrt u.\nAnswer: 144420*p**3*u**2 - 432*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 6}. What is prob of sequence uku?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 12*c + 0 - 1\/2*c**2 - 1\/6*c**3. Let l(u) = -u - 1. Give 6*l(j) - 5*m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = -4*f + 228, 120 = 2*f - 2*s. Let y = -158 + 87. Let q = f - y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1623, 580, -3165, -9612, -18761?\n\"Answer: -1351*u**2 + 3010*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f + f)*(1 - 5 + 3) + 0*f + f + 4*f to the form w*f + n and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 4.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -12. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1619, -12840, -43297, -102608, -200391?\nAnswer: -346264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 3:29 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2629\/239 + 158\/(-14). Which is the closest to 4? (a) 2\/5 (b) s (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*l - 26 = -2*l, -2*k - 2*l + 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267*b**2 + 2 - 25019*b**3 + 1267*b**2 - 2 + 25039*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1710392858.\nAnswer: 2, 37, 23113417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, -2.4, 4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 29*z**2 + 31*z - 45. Give r(30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4010784 divided by -3.\nAnswer: -1336928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 41\/4, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310454 (base 6) in base 16?\nAnswer: 283a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 5*t**3\/6 - 9*t**2\/2 - 3*t. Let g be r(2). Solve -g = -a + l, 0 = 5*a + 2*l + 2*l - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347 or 346?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/7)\/((-1)\/5). Suppose 2*p - g*f - 86 = -0*p, -2*p + 114 = 2*f. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6019 + -6015.00035. Let n = 0.1 + 3.9. Let o = t - n. Round o to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/6 - 7*p**2\/2 + p. Let w be h(-5). Which is the nearest to 2\/15? (a) w (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 25. Suppose -l*g = -g - 1460. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -74\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 3. Suppose -14*o = -3*o - 55. What is the second biggest value in 0.03, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42484 - -153775. Suppose -3*j + o + 211741 = 0. Let p be (-80)\/(4 - 0)*j. Round p to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 204*c + 3078. Let v be p(-15). Solve 12 = 6*r - v*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1647059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 33\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:27 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168132 or -168177?\nAnswer: -168177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 7, y: 3, b: 5, g: 1, x: 3}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.05928. What is h rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -153)*86\/688 - -19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 22636*r**2 - 1754246*r - 6654680 = 0 for r.\nAnswer: -73, -4, 11395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4235 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**0)\/q)\/q)\/q*q**(-1\/10)*q*q*(q**(-1))**(-50) assuming q is positive.\nAnswer: q**(509\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x - 3*x + 21 - 109*x + 37*x + 10*x.\nAnswer: -42*x + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 + 204 = -13*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 6, -8289, -5.\nAnswer: -8289, -15, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908419297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4489*u**5\/3 + 14157904*u**4\/3 + 43018754*u**3 + 3824040*u**2 + 85401*u = 0.\nAnswer: -9, -3\/67, 0, 3163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.0747\nAnswer: -0.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -29*f**2 + 209*f + 140. Calculate q(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4765*n**3 + 1155*n**2 + 110*n + 5. Let i(v) = 7147*v**3 - 1732*v**2 - 160*v - 7. Let s(d) = 5*i(d) + 7*x(d). Let s(t) = 0. Calculate t.\nAnswer: -3\/68, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26518805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*p**4 + 0*p + 0 - p**2 + 3*p**3.\nAnswer: p**2*(p + 2)*(7*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327558, 327553, 327548?\nAnswer: 327543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4522649 + -0.2\nAnswer: 4522648.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 5)\/(18\/(-12)). Suppose -3*y = -d*t - 16, -7*t = y - 2*t - 18. Is 9 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -3 - 6) + (-15 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164721900*d**3 + 5*d**2 - 1447096*d + 7?\nAnswer: -988331400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + -9 + (10 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -11023233?\nAnswer: -11023303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.521088321 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/(-42) - (-324)\/(-42)) + 47\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*o**4 + 1314*o**3 + 957*o**2 - 6195737*o + 14 wrt o.\nAnswer: -96*o**2 + 7884*o + 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/20)\/((-14)\/(-35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + -1)*-6*4 - (sqrt(396) + sqrt(396) + 3*(sqrt(396) - -4*sqrt(396)))**2*-6.\nAnswer: 24*sqrt(11) + 686640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-351)\/(-36) - 10) + -2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/12)\/4)\/((-7)\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4932 and 1.6479.\nAnswer: 4933.6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1 - (1 + -6). Suppose 4*x - 7*x = p. Let q be x\/(-2) - (-32)\/(-68). Is q > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 13. Give f(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 2*u + 3*i, -6*u + 2*i + 280 = -4*u. Suppose 25*z = -4*z + u. Solve -3*m - z*n = -27, -m + 3*n = 4 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 14\/5*l**4 + 24\/5*l**5 - 14\/5*l**3 + 0 - 4\/5*l**2 = 0.\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19590)\/225)\/(3\/72). Let w = -2067 - m. Which is greater: 24 or w?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55430448*s**4 + 1025*s**2 - 25*s - 33 wrt s?\nAnswer: 1330330752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -131094387, -5, -0.5 in decreasing order.\nAnswer: -1\/10, -0.5, -5, -131094387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*y - 48*y + 2754 = -56*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 - 19*q. Calculate the remainder when 132 is divided by p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173071.\nAnswer: 19, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*s + 5*i, 2*s - 46 = -s + 4*i. Calculate the least common multiple of s and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76020 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)\/(2\/12). What is the common denominator of (-2)\/(-2)*(-158)\/20 and 53\/6*(-3 + u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 58*y = 446 - 1107, -o = 11*y - 9*y - 31 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 7*y + 8717, -18*a + 15*a = 2*y - 26265. Calculate the highest common factor of 57 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1978632978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 2. Let b(n) = 27*n + 2. Determine j(b(p)).\nAnswer: 81*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744) + 1*(-2*sqrt(3744) - sqrt(3744) - sqrt(3744)) - (sqrt(3744) - 5*sqrt(3744)*-3))\/(-6*(sqrt(2) + 4*sqrt(2)*-3 + (sqrt(8) + sqrt(2))*-4)).\nAnswer: -38*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/30325 and 97\/41950.\nAnswer: 50885350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:16 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346581867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067268 to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -7*d**4\/24 - 16*d**3\/3 - 14*d**2. Let q be p(9). Let u = q + 102. Let r(x) = -4*x + 10. Give r(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 12*u**2 - 6*u + 25. Calculate x(6).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 538199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1273 + 0.7727. Which is the closest to -2\/7? (a) 5 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 472, 668, 828, 946, 1016, 1032, 988?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59770 + 59518 = -7*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117392 is divided by 58690.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 9*q - 7. Let n be r(-6). Let p = -3 + 14. Find the second derivative of 0*o**2 + p*o - 10*o + 0*o**2 + n*o**3 wrt o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1007*3.66\nAnswer: 3685.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21089 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11318132 is divided by 2829508?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 35 = r, 143*r - 141*r = -10. Let -9 + k*n + 23\/4*n**2 - 1\/4*n**5 + 9\/4*n**4 - 27\/4*n**3 = 0. What is n?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 369*s**2 + 32*s - 1. Let k be m(-1). Let t = k + -321. What is the remainder when 464 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154 + -5 + 7 + (0 - -4). Which is the closest to -1? (a) d (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (1\/2)\/(3\/(-6)). Suppose -5*o + 11 = -5*v + 3*v, 5*o = w*v + 5. What is the derivative of 2*a - 11*a**3 + o + 2*a - 4*a wrt a?\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*k**2 - 3*k**3 - 247*k**2 + 2*k**3 + (7*k - 30 + 30)*(25*k**2 + 44*k**2 - 4*k**2) as x*k**2 + c*k + j*k**3 + q and give j.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31364 + 21736. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -18) + 1 - -2 - (-2 + -75 - -1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1107069249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 10. Calculate the remainder when 113 is divided by n(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -505, -4018, -13529, -32032, -62521, -107990, -171433, -255844?\n\"Answer: -499*s**3 - 5*s**2 - 5*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 24\/13, 1 in increasing order.\nAnswer: -135, 1, 24\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1151*f - 9958. What is the thousands digit of q(-51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 39817 = 6*f - 2*f, 0 = -5*k - 5*f + 66355. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let c be v(4). Calculate the common denominator of -2 - -3 - 29\/c and -19\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/253 in -26, 0.1, 0.4, -4\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 366 + (13\/(-3) - (-100)\/(-60)). Suppose c*g - 359*g = 2. Factor -g*q + 5\/2 - 1\/2*q**2.\nAnswer: -(q - 1)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m. Let r(v) = 2*v**2 - 4*v. Let y(s) = 4*k(s) - 3*r(s). Let n(j) = -9*j. Give y(n(o)).\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -11*j**6\/6 + 5*j**2 + 10. Find the second derivative of z(r) wrt r.\nAnswer: -220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 not equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + 4 + -144. Let i = n + 117. Let v(z) = -z**3 - 22*z**2 + 21*z - 44. Let c be v(i). Put -8, c, -1, 0 in decreasing order.\nAnswer: c, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.696557 decades?\nAnswer: 83.58684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Suppose -n*z = -9*z + 78. Calculate the highest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 - 2*w**2 + 2*w - 1. Let n be s(1). Suppose -n*t - 6 = 4*y, -9*y = 3*t - 6*y - 6. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -189*o**2. Let l(y) = 20*y**2. Determine l(g(u)).\nAnswer: 714420*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4725437382 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/5 + h**4\/3 - h**3\/3 - h**2 - 65*h. What are the prime factors of m(4)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2039896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 1, u: 2, h: 7}. Give prob of picking 1 h, 2 u, and 1 v.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 + l**4\/3 - l**3\/2 - 3*l**2 + 18*l. Let g(y) = -y**2 + 2*y + 4. Let d be g(4). Determine w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*k = 3*b + 2282, 0 = -b - 3*k + 1121. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 2, i + 5*x = -45. Let b = 22 + i. Let v = b - -19. What is the nearest to v in -1, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 40. Let p be 1\/((-87)\/12 - -7). What is the remainder when j is divided by (81 - 9)\/((-6)\/p)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834575 is divided by 92730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516 or 313?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 - m. Let g(f) = 4*f**3 - 9*f**2 + 4*f - 1. Let p(v) = 6*g(v) + 17*s(v). Let c be p(6). What is c rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -3770941052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 525 + -397. Let h = u - 123. Solve 4*n + 13 = h*z, -z + 3*n - 4*n = -8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -2\/3 (c) -0.255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - 2*x + 1. Suppose 0 = -195*m + 53*m + 568. What is the smallest common multiple of m and v(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:07 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:32 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 33 = 2*i + 51*o, 5*o + 45 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(4500) - (sqrt(4500) + (3*sqrt(4500) - sqrt(4500)))) + 0 - sqrt(4500))*5 - (1 + sqrt(4500))*4*1))**2.\nAnswer: 164160*sqrt(5) + 58482576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 2*i)*(0 + 3 - 1)*(2*i - 3 + i + 0*i).\nAnswer: 12*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49039 at most as big as 49039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133008.\nAnswer: 2, 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6340\/3, -1\/441, 2\/3 in descending order.\nAnswer: 2\/3, -1\/441, -6340\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5283.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -162 + 0?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 10. Let w(x) = 2*x + 3. Let g(k) = -3*p(k) - 8*w(k). What is the derivative of g(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*x = -4*x + 64, -3*g = 5*x - 194. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1537732 at least -1537733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 21 - 5. Suppose -5*z = 0, -3*z - 12 = -3*u - d*z. Solve -10 = c - 2*m, 0 = -4*c + u*m - 9*m + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -27. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2014 + 685 + 681 - 14*v + 652. What is o(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(17) + 0 + sqrt(2448).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 3 + 3 + (-10 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 792*(-22)\/(-176) - 216\/8\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 419 + -384. Suppose -w*b + 40*b - 1785 = 0. List the prime factors of b.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-17)*(y\/(y\/y**1))\/y*y**(-21\/4)*y\/(y*(y*y**(-44))\/y) assuming y is positive.\nAnswer: y**(227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 24*j**2 - 225 + 0*j + 141\/4*j**4 - 21\/5*j**5 + 70*j**3. Factor z(o).\nAnswer: -3*o*(o - 8)*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -272\/3, 5\/7, -3, -2\/3, 29\/13?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -15789.667925?\nAnswer: 15789.167925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 770703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 6 + 3 + 1)*(3*x**3 - 3 + 3 + (0*x + 0*x - 2*x)*(-4*x**2 + 2*x**2 + 0*x**2)).\nAnswer: -14*x**4 - 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g - 30 = 0. Let r be 30\/26 - 6\/39. What is the first derivative of r - 4 - 4 + g*h**4 + 0*h**4 wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1 + sqrt(102))*5)\/(sqrt(60)\/(sqrt(10)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*n + 1\/3*n**5 + 10\/3*n**3 - 1\/3 - 5\/3*n**4 - 10\/3*n**2.\nAnswer: (n - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932\/16495 or 1?\nAnswer: -932\/16495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m - 105 = -47*m. Let g(n) = -n**3 + 22*n**2 - 26*n + 23. Let j be g(m). Let p = 86 + j. Solve 0 = -4*r + p*y + 20, -5*y - 9 = 3*r - 0*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 9643260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -0*w - 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1954*c = 649*c + 640*c + 582*c - 6557 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -71120490 to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.042 + 0.758. Let j = g + -0.65. What is j rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:04 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hggb when four letters picked without replacement from ggbfhhyfhhf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/7)*r**(3\/7)*((r**(1\/5)*r)\/r)**36*((r\/(r*r**(-2\/5)*r*r))\/r**(1\/2))\/((r\/r**(1\/3)*r)\/r*r)**(-1\/38) assuming r is positive.\nAnswer: r**(9977\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 251574487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1989440 divided by -24868.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5017*u**2 - 5035*u**2 - 1 + 15074*u**2 + 1 - 5020*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1\/8*c**3 + 1\/8*c**2 + 0*c + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18*3\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*x = 69, -18*p = -22*p - 2*x + 92 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644321 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(13\/3)\/r**(-1\/3) assuming r is positive.\nAnswer: r**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6613.965cm?\nAnswer: 0.06613965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 3, 1, 12 in ascending order.\nAnswer: -170, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 537 and 5.\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-27)\/(-54)). Let y be (2\/p - 2)\/(28\/(-63)). Factor 2\/5*t - 2\/5*t**y + 0*t**2 + 0.\nAnswer: -2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -176*c + 21. Let o(v) = 40*v - 5. Let w(n) = 9*o(n) + 2*r(n). Let x(z) = 0 - 1 + 2*z - z. What is -w(y) + 3*x(y)?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4 (c) 0.02 (d) -1\/30 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5563 - 5562. What is the nearest to k in -0.1, 17, -3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 27954 - 27954 + 3*g. Let a(c) = -118*c**2. What is h(a(j))?\nAnswer: -354*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74353.85l?\nAnswer: 74353850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.439339 to two dps.\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose 0 = -2*x + y - 4. Let q(o) = o**2 - o. Let z(k) be the third derivative of -k**5\/20 + 5*k**4\/24 + 2*k**2. Calculate x*z(s) - 4*q(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1539 and 116208?\nAnswer: 6623856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -36, -4, 0.39, -0.1?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4150 + -3021. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 2 (b) 730 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 83*w - 2. Let u(t) = t**3 + 2*t**2 - t - 1. Give q(f) - 2*u(f).\nAnswer: -2*f**3 - f**2 - 81*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4406\/7 >= 15901\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*o + 2141*o + 1027*o to the form g + k*o and give k.\nAnswer: 3188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((3*-1)\/(-28*30\/40))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 91 = x, -5*x = -0*x - 25. Let s be 4\/(-6) + 1400\/21. Let v = s + k. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhj when four letters picked without replacement from {l: 1, j: 7, h: 8, c: 4}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*n**2 - 1249*n**2 + 423*n**2 + 413*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -3 - (-2 + -5). Solve -5*j = -b*u + 6, 6*u = -j + 2*u - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:59 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/328 and 155\/1064268?\nAnswer: 87269976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 3*o + 18. Let c be q(6). Let s be (-7175)\/(-1 + c) + (-110)\/(-22). Round s to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 7*f - 4. Let x be ((-2)\/f)\/(3\/366). Let d = x + -29. What is d rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, o: 2}. Give prob of picking 1 o and 1 b.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c70 - -25b?\nAnswer: 10cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -610259 + 908354. Suppose 15*c - 106515 = r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*i**4 + 501*i**2 - 501*i**2 + (3*i - 3*i + i**2)*(10*i - 5*i**2 - 10*i - 2*i**2 + 2*i**2 + i**2 + (-1 + 4 - 5)*(0 - i**2 + 0)).\nAnswer: -83*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483698 divided by -49.\nAnswer: 1483698\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-237)\/(-234) - 10\/(-65). Let m(s) be the second derivative of 0*s**2 + l*s**3 - 2*s + 0. Let f(g) = 2*g. Calculate f(m(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 10\/53, 1, 4, 0.3, 5?\nAnswer: 10\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 18*y - 165*y**2 + 20 - 30*y + 197*y**2. What is the units digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 2*y - 1 + 3. Let j be i(0). Suppose 0*h + 4*h = 0. Solve h = q - j - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2348*n**3 - 9*n**2 - 23*n - 14. What are the prime factors of c(-1)?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 3. Let y(h) = -h**2. Let s(n) be the first derivative of 7*n**3\/3 - 87. Let a(i) = c*s(i) - 6*y(i). Let f(z) = -z**2. Determine a(f(g)).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4800823515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m*m\/(m**(-32\/7)*m)*m*m*m))\/m**(-18) assuming m is positive.\nAnswer: m**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*s + 20*s + 22. Suppose 3*o - s*z = 1786, 0 = -7*o + 10*o + 2*z - 1802. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 9, g: 1, w: 2}. What is prob of picking 1 z and 1 b?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26699\/93 or 287?\nAnswer: 26699\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-2 - 0). Suppose 4*i - 2*f - d*f - 36 = 0, 0 = -3*i + 2*f + 27. What is the smallest common multiple of 3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-214)\/30 + (-13 - 4334\/(-330))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 4*u**2 - 4*u**2)*(-2*u + 2*u + 2*u)*(-5461 + 5458 - 168*u - 18*u).\nAnswer: 744*u**4 + 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110938*g**3*u**2 + 9*g**3 - g**2 + 51*g + 40*u wrt u?\nAnswer: -221876*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/1603, -0.2, -42, 5, -2\/15, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 10318?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Suppose q - 11 = -14. Put 2, q, s in decreasing order.\nAnswer: s, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11841 + -11842. Let i(b) = -2*b**2 - 2*b + 4. Let r(h) = -h - 1. Determine y*i(t) - 3*r(t).\nAnswer: 2*t**2 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 7*o**2 + 4*o - 19. Let t be -8 - (-4 + (1 - -3))\/(-1). Let v be n(t). Solve -7*x - 28 = 4*k - 3*x, -v = 4*k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114257 and 14926.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14723 - 15202. Which is smaller: -489 or g?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4644 + 41884\/9. Let r = y - 10. What is the common denominator of 41\/12 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409778966 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 4, r: 9, j: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 + -1.24. Let g = a - -0.04. Put 3, g, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -141, 0, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, -30, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62 - -5975\nAnswer: 6037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2372900937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031895941 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11552872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 9.3\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 532006 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1338968 in -3, -2\/3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**7\/1680 + y**6\/80 - 17*y**5\/120 + y**4\/2 + 161*y**3\/3 - 92. Let o(b) be the third derivative of m(b). Factor o(a).\nAnswer: (a - 2)*(a - 1)*(a + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.91288 decades to centuries.\nAnswer: 0.491288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:27 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -2 + sqrt(242) + 0 - ((-1 + sqrt(242))*-6)**2*-3).\nAnswer: -52494 + 4730*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3200\/(-256))\/(9\/6))\/(-1)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r + 81. Let m be b(-9). Let d = 36 - 33. Suppose 3*x = 3*s - 36, d*x + 33 = 5*s - 13. Put 2, m, 5, x in decreasing order.\nAnswer: 5, 2, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j\/j**(3\/4)*j)\/j)\/j**20)**49 assuming j is positive.\nAnswer: j**(-3479\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(323\/190*24\/102)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.00085 - -1. Round w to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o**3 + 1\/120*o**5 + 0 + 1\/672*o**8 - 1\/420*o**7 - 2*o**2 + 1\/24*o**4 + 126*o - 1\/80*o**6. Factor a(c).\nAnswer: c*(c - 2)*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from {w: 4, q: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1782721228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138826687567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221*s**5 + 147*s**2?\nAnswer: 13260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 369472517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*m - 16. Suppose -j = -m*j - 5*f + 921, -f = 3*j - 1414. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 4*f + 1. Let h be 60\/510 + (-66)\/(-17). Let b(s) = -s + 2*s + 9*s**2 - 5*s - 3*s + 2. Calculate h*b(k) - 7*q(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-27) - 320\/(-6). What is the lowest common multiple of 9 and (9\/18)\/(3\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.3. Let i = 0.9 + -0.6. Let z = i + -5.3. What is the third biggest value in z, 1\/4, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 5*h. Let i = -3 - h. Determine m so that -3*m + 0*m**i + m**2 + 4*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, m: 1, g: 2, o: 4, u: 4}. Give prob of picking 2 g.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 5, -1\/11, 2\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 279704092*z\/3 - 9779297385193058\/3.\nAnswer: -2*(z + 69926023)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:16 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = 4*k, 5*n - k - 2 = -7. Suppose l + 5*h + 0*h + 18 = n, -3*l - 2 = 2*h. Suppose -92 + 4 = -b - i, -437 = -5*b - l*i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r + 9*r + 0*r)*((-r - r + r)*(2 - 5 + 2) + 6*r + 0*r - 2*r) - 2*r**2 + 1 - 1.\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2661029818 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d540e - -4?\nAnswer: d5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184\/29 + -51413\/8062. Find the common denominator of -81\/8 and z.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {d: 2, e: 4, a: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 317*i**2 + 520*i = 0.\nAnswer: -104, -5\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yztpr. What is prob of picking 1 r, 1 y, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.8, -199, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = 3*q + q. Let h = 773\/7 + q. Which is the third smallest value? (a) 1 (b) -1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.485 - -2.5517. What is n rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1430226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + l - 25 = 10, 2*l = 4*n - 60. Let w = n - 10. Suppose -568 = w*y - 7*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95\/2 of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7907300*c**5 + 7461*c**2 + 2*c + 2.\nAnswer: 474438000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 2. Suppose -7 = -2*l + 1. Suppose -4*n - 20 = l*q - 2*n, -5*n - 10 = 0. List the prime factors of a(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 189\/(-39) + 4. Let a = -0.22 + 1.22. Let j = 4 + -6. What is the closest to a in q, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 1. Let r(p) = -3 - 521*p + 2 + 522*p. Determine -4*g(u) + 7*r(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042726562 rounded to seven dps?\nAnswer: -0.0000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(1 + -3) - 1. Let r(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 7*g - 3. Let p be r(8). Calculate the highest common divisor of b and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239645 is divided by 163?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 19*m**9\/504 - m**5\/10 - 8*m**2. What is the third derivative of d(z) wrt z?\nAnswer: 2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n - 56. Let f be q(5). Solve -m = -3*y + 2 - 0, -f*y - 3*m = 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54837 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -188, -328, -498, -698, -928?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 3*i + 1, 4*i - 18 = -2*o. Solve 2*m + 8 = k - 2*k, -m + 3*k = -o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 8. Let u be w(6). Is 5 a factor of u\/(-6)*(8 + (-133)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 69\/4. Is m >= -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 5*i**5\/6 - 5*i**4\/12 + 5*i**3\/6 - 65*i**2. What is the units digit of j(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(39\/(-2))*36.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 7*q - 31 - 52 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2255*i = -6802*i - 395589 for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*d**2 + 2404608*d - 424341.\nAnswer: -3*(d - 47149)*(17*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let k be 1 - (-2 + r) - -2. Suppose 5*c = 4*f + 106, 3*c = 4*c + k*f - 26. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/48 + 161*w**3\/24 + 237*w**2\/4 - 245*w + 2. Let q(g) = 0. What is g?\nAnswer: -158, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 114*g**4 + 2277*g**3 - 43038*g**2 - 487245*g + 12852 = 0.\nAnswer: -28, -9, 1\/38, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449 + 459. Solve -d = -3*y + 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.6217647 rounded to 1 decimal place?\nAnswer: 304.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -796*y**5 - 804*y**2 + 6*y + 3. Let l(k) = 797*k**5 + 805*k**2 - 8*k - 4. Let p(b) = 3*l(b) + 4*m(b). What is the third derivative of p(w) wrt w?\nAnswer: -47580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 20, 4*q + 16 = 4*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 80, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvjvvvvvjvj. What is prob of picking 3 v?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26864 is divided by 166.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -15. What is the smallest common multiple of 2 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2895324\nAnswer: 1\/965108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and -4076.\nAnswer: -4097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - 6 - (14 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.021 + -5.021. Let v = -6 - q. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2927029477 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 86. Calculate x(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/(100\/(-2000)). Solve -m*u = 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1200)\/110 + 11 + (-610)\/55\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 2*j - 1. Let y(f) = -f**2 - 61*f - 2. Give 3*s(p) - y(p).\nAnswer: -2*p**2 + 67*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, -3, -1, 3, 22 in increasing order.\nAnswer: -3, -1, 3, 22, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:09 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17706.9958292 + -17707. What is b rounded to 4 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9134 + 39873. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.95 + -467546410.\nAnswer: -467546406.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003218082 rounded to 5 dps?\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.83895 tonnes to grams.\nAnswer: 8838950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 186878.89.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3455, 2777, 1647, 65, -1969, -4455?\nAnswer: -7393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from cuwcvqwquqcciwuqc?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56304 (base 9) to base 12.\nAnswer: 197aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Let p(w) = -5*w**2 + 1. Let y be p(1). Sort -2\/13, u, y in decreasing order.\nAnswer: u, -2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5537223, 11074210, 16611197, 22148184?\nAnswer: 27685171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15070509 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2598)\/(3 - 1))\/(-3). Suppose x = 2, -5*b + 2*x - x + i = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105452 is divided by 21033.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(2 - (-308)\/(-8)). Suppose 5*d - b - 2 = 0. Let l = d + -11. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ac3 (base 15) in base 10?\nAnswer: 22683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60222 - 60223. Let h(u) be the second derivative of 11*u**4\/6 + u**3\/6 - 2*u. Determine h(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -45030756?\nAnswer: 45030766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + 130. Suppose d*j - 181 = -19. Calculate the highest common divisor of 81 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556 and 9730?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/(3 + (-19)\/6). Let n = 2272 + l. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -843.964 times 0.09?\nAnswer: -75.95676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:39 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 - 11 = 0. Let m(r) = -r + 10 + 10 - x. List the prime factors of m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.3. Let g = 0.1 + n. Let h = g + 2.1. Which is the third smallest value? (a) -2 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 2, g: 1, c: 4}. Give prob of sequence ig.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.83 - 0.17. What is the closest to l in -0.3, 2, -0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (9 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -15. Let t(n) = -2*n + 16. Let k be t(f). Solve -7*g + 3*g = -k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2*i - i**2 - 470*i**2.\nAnswer: -471*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:17 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1501939769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 40 = -0*v. Suppose j = 6*j - v. Let 6*t**2 + 10*t**5 - t + 0*t + 3*t**4 - 7*t**5 - 8*t**j - 1 - 2*t**3 = 0. What is t?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*l**3 - 1071*l**2 - 1139*l**2 + 91*l**3 + 2210*l**2 + 100*l**3 + 100*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10996029 divided by 1019?\nAnswer: 10791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 306. Let v = n - 203. Calculate the remainder when v is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/835 in 1\/5, -2, -24, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280 - 280.1. Let l = 1.16 - 1.36. What is the closest to 1 in l, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 444*r**4 + 12*r + 0*r**3 + 445*r**4 + r**3 to z*r**4 + x*r**3 + k*r + l*r**2 + j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3426 - 3407. Suppose 5*h - o = -4*o + 867, o - 517 = -3*h. What is the greatest common factor of h and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a factor of 6209592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4458 divided by 1486.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 26 + 16 + (-5 + 52 - 6 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 53*b - 693. Calculate h(44).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*h - 36. Let n = 66 + h. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19436?\nAnswer: 2, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u, 0 = -4*k - u + 95 - 81. Solve 0*x - n + 2 = 4*x, k*x - 12 = 4*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*8155\/15 - (-7)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/12 - (-3 + 104\/(-48)). Suppose -4*c = d*v - 20341, 3*c + v - 15217 = 5*v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28989\/8 + -3619. Find the common denominator of a and -15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(3\/14)\/(k\/k**(1\/4)*k)**(-28) assuming k is positive.\nAnswer: k**(683\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80124 and 60093?\nAnswer: 240372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n = -4*d + 28, 2*n - 4*d = 0. Let g = 4 - n. Let l(o) = -o + 22. Calculate the least common multiple of 10 and l(g).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 210*r**2 + 455*r - 660.\nAnswer: -5*(r - 44)*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.538 - -18.538. Sort 56, -14, 5, y in descending order.\nAnswer: 56, 5, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 1\/2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -125. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2. Let d be 26\/68 + -21 + 2872\/136. Let k(l) be the first derivative of -d*l**2 - 10 + 0*l. Give b(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38984km in centimeters?\nAnswer: 238984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**5)*q**(-5\/4))\/((q**(1\/4)*q)\/q*q\/(q**(-4)\/q)))**(-2\/19) assuming q is positive.\nAnswer: q**(25\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let i(d) = 23 - 379*d - 376*d - 370*d + 1117*d. Let w(k) = -7*k + 24. Let m(g) = j*i(g) - 3*w(g). Differentiate m(r) wrt r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -4. Suppose -l + 3*r = 3, 4*r = r + w. Suppose 0 = 5*f - 3*g + 15, f - 5*g + 15 = -10. Solve f = -0*s + l*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:40 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1144, 1101, 1058?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 51*h**2 + 41*h - 96. Is s(-53) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (56\/(-7) + 7)\/((-2)\/21946) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 38. Let q(l) = -2*l. Determine h(q(m)).\nAnswer: -6*m + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 2)*(-6*a**3 + a**3 + a**3) in the form p + u*a**3 + q*a + s*a**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079890408 to 3 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 695638183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 1 - 2*y + 5*y. Suppose 5*r = 3*s + 4*r + 47, 67 = -4*s - 3*r. Let n = -11 - s. What is w(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414642 (base 8) in base 13?\nAnswer: -4a853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2172 and 6154.\nAnswer: 36924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580881535 to the nearest integer?\nAnswer: 24101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52231 is divided by 26095.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5412 + 5411. Which is the closest to 0.4? (a) 1.3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 - -143. Let d(i) = 16*i**2 + 5*i. Let n(o) = -24*o**2 - 8*o. What is s*d(c) - 5*n(c)?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9947?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279210 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymmymmtmt. Give prob of sequence ytm.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 427, 266, -7, -392?\n\"Answer: -56*u**2 + 7*u + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 - 76 - (-3 + -2) - (64 + -56).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 13*m**2\/2 + 23. Let r(b) = -3*b**2. Calculate x(r(t)).\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - 37. Let n(a) = -6. Let i(r) = -5. Let q(d) = -5*i(d) + 4*n(d). Let u(k) = q(k) - x(k). What is the units digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/9, -5, 4\/49, -2\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*v**3 - 4*v**2 + 4*v**2 + 6*v - 560*v**3 - 516*v**3.\nAnswer: -6*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 16*u**2 + 46*u**2 - 37*u**2 + 5 + 2*u as g + m*u**2 + d*u and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:14 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64370 (base 11) in base 15?\nAnswer: 1cb0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 90952*n. Let y(z) = -z. Calculate x(y(w)).\nAnswer: -90952*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q = 126*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507850 plus 15099077?\nAnswer: 15606927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.46 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*x - 20, 4*j = 3*x + 11 - 48. Let i = j + 11. Calculate the smallest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 3661 = 3256. Solve 37*m = p*m + 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/(-18)*(-6)\/(-4) and 69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 456 = 2*k, 572 = 5*x + k - 3*k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91037353 and 422.1.\nAnswer: 91037775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(102)*2)\/sqrt(6) + (-3*sqrt(136)*-2 - sqrt(136))\/sqrt(8)).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 332\/42 + 10\/105. Let t(h) = -h**3 + 8*h**2 + h + 5. Let b be t(y). What is the highest common divisor of b and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 9. Let h be (-2)\/(-6) - (-359)\/3. Suppose 0 = m + m - 3*o - 100, -2*m - 2*o + h = 0. What is the remainder when m is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(847) - (sqrt(847) + sqrt(847)*3 + sqrt(847) - sqrt(847) - sqrt(847)))*-6)**2 - (1*sqrt(847) + 5)**2).\nAnswer: -110*sqrt(7) + 121094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353*j**2 + 81589*j + 1332*j**2 - 81600*j.\nAnswer: -21*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25091 + 115784 = 5503*w + 62718 - 119951 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28659202 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*g - 128, 4*v + 16 = -0. Let w be 4\/(-10) - g\/(-20). What is the third derivative of 2*s**5 - 2 - 4*s**w + 4 - 2 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/12 - 4*v**3\/3 - v**2. Suppose -3*r + r = -6. Let q(g) = -78*g - r + 2*g**2 + 78*g. What is 8*q(c) - 3*t(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsjmrmrmasrrsr. What is prob of picking 1 m, 1 r, and 1 a?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15746272 and 22912.\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*y + 7 = 0, 0 = -k - 3*y - 0 + 16. Let r be (-2)\/2 + k + 55. Suppose -5*s + r = -5*t, 14 = s - 3*t - 5. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 + 2 = m, 0 = 5*x + 2*m - 12. Suppose 2*n - 179 = 5*y, -168 = -x*n + y + 15. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8385539, -16771077, -25156615?\nAnswer: -33542153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(4400)) + (sqrt(66) + (-2*sqrt(66)*5 - sqrt(66) - sqrt(66)) - sqrt(66) - sqrt(66))\/(sqrt(6) - -2*sqrt(96)).\nAnswer: 20 + 887*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-25)\/(-5) - 4) + 3. Suppose 0 = -2*f + l + 22. Calculate the remainder when 35 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*x**3 - 23*x**3 + 57*x**2 + x - 59*x**2 to the form g*x + h + m*x**2 + w*x**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 31*t**3 + t - 83*t**3.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4) + 491743\/(-14). Is (-28)\/(-210) + u\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.2 (b) 22976 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9015 + 20*h - 9015.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -866 + 859. Which is the closest to h? (a) 2 (b) -0.06 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6713, 13411, 20217, 27137, 34177, 41343, 48641, 56077?\n\"Answer: o**3 + 48*o**2 + 6547*o + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(0 + 2*i**2 + 3 + 28*i - 8*i) to the form x*i + h + n*i**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 9*f**2 + f + 5. Let h = -265 - -256. What is d(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1410010712 + 0?\nAnswer: -1410010712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -40. Let l(b) = b**2. Let v(c) = 6*c**2 + c - 5. Let d(q) = -4*l(q) + v(q). Calculate the remainder when 89 is divided by d(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2 - -7.2. Sort -1\/2, a, 0.3, 1\/4 in descending order.\nAnswer: a, 0.3, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y**3 - 2819*y**2 - 8*y**3 + 2818*y**2 in the form r*y + a*y**3 + n + w*y**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223985 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -84*r - 125. Let q = 268 - 272. List the prime factors of h(q).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 70*f**2 + 131*f + 139. Is x(-74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53498794 divided by 47386?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/15 - 10\/(-6)) + (-14)\/(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 2*w + 4. Let x(s) = s + 12. Let u be x(-10). Suppose u*y - 6 = 4*y. What is l(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-3))\/((-9)\/(-6)). Let m(l) = -l + 12. Let s be m(5). Suppose -70 = n*k - s*k. What is the remainder when 26 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 9:09 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 223496930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 915\/7 - 131. Let y be (2\/(-5))\/((-210)\/50 - -5). Let c be (-2)\/24*(0 + -2). What is the closest to c in y, u, -3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5652)\/(-318396))\/((-12)\/(-26)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320c (base 14) in base 10?\nAnswer: -47052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 8*p + 21*p + 101*p**3.\nAnswer: 101*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 80884.737 microseconds?\nAnswer: 0.0000009361659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145\/23 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/10*(-32)\/(-10). Suppose 60 = z - 2*w, w + 126 = 43*z - 41*z. Calculate the highest common factor of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v - 5. Let u(q) = q**2 + q - 4. Let h be u(3). Let r(b) = -b + 8. Let x be r(h). Is v != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 798 = -284 + 526 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2218 and 2157005?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = -3. Suppose -w - f*w - 20 = 0, 4*i - 26 = 2*w. Let n(y) = 0 - y + 3 + 0 - 5. Determine n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37142812.\nAnswer: 2, 7, 1326529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 892668.6\nAnswer: -1785337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9970663 to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 173, 345, 517, 689, 861, 1033?\n\"Answer: 172*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 171*t**2 + 28*t - 18. Let k be 2\/((-14)\/(-63)) - (-2 - 0). Is z(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/18 and -133\/2448?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2214 + -2215. Put 0.03, 2, 5, 0, h in descending order.\nAnswer: 5, 2, 0.03, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11013444 (base 5) to base 3.\nAnswer: 11211010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.007 - -5.007. Let n = -1303 - -1322. Which is the third smallest value? (a) -1\/5 (b) u (c) n (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 61*l**2 + 452*l - 964. Give u(2).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-15) + -3)\/((-112)\/8680) - -4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179528227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - (-40)\/25. Let x be (-6)\/2 - (-8 + l). Let v(u) = -4*u**2 + 0*u**2 + 3*u**2 + x*u**2. Let n(d) = 5*d**2. Give v(n(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:18 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 14*c**2. Let k be v(-14). Find the second derivative of 0 + 9*n**2 + 18*n + k*n + 0 wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2867*c - 3235. What is the hundreds digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -83. Let q be (y\/(-15) + -3)*5. Suppose 6*b - q*b = -8, -4*b + 20 = 4*w. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122210101120 - 21220?\nAnswer: -1122210200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r - 28. Let z(k) = -k. Let b(i) = -a(i) + 5*z(i). Let f(p) = p**2 + 23*p + 94. Let c be f(-19). List the prime factors of b(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15930 - 7369. Is s a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3 - 10 - 4*z + 6. Give s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:23 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhqlhjqhgyhhg. What is prob of picking 1 j and 1 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1 + 3 + 0*x - 2*x - 5*x. Suppose 0*t - t = 7. Let s(y) = -10*y + 3. Determine t*g(r) + 5*s(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378453891.\nAnswer: 17, 113, 617, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -3\/2974, 0.4, 4, -1 in decreasing order.\nAnswer: 4, 1\/2, 0.4, -3\/2974, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 3. Let f = 54 + -42. Let t be (-3)\/(-2)*224\/f. Suppose -2*s - t = 5*s. Determine h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1834 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.302 and 52692 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002537 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**7\/420 + 5*p**4\/24 - 7*p**3\/6 + 5*p**2. Let h(t) be the first derivative of z(t). What is the derivative of h(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 + 1 + 0). Solve 0*l + 11 = -3*b - 4*l, -5*b = -2*l + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6167 - 255?\nAnswer: -6433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -297*s**3 - 722*s**2 + 26*s. Let t(r) = -890*r**3 - 2165*r**2 + 91*r. Let c(m) = 7*l(m) - 2*t(m). What is the third derivative of c(b) wrt b?\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131788.5 millimeters in micrometers?\nAnswer: 131788500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-5)*(5\/(605\/66))\/((-24)\/66)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q - 8. Let k be m(-5). Let v = k + -36. Solve 3*j + 2 + v = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*j - 3)*((2 + 2 - 1)*(-6 + 1 + 4) - 2 - 4 + 4 - 1 + 1 - 1) to y*j + u and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*i - 6793*a**3 - 170*i wrt i?\nAnswer: a**3 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 30\/17, -0.1, 3\/5, 2\/21?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3140945.\nAnswer: 5, 628189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 574097, 574153, 574209?\n\"Answer: 56*c + 574041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 29*r + 33 = 28*r, -4*g + 1822 - 566 = -75*r - 824 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-573)\/615 - (-1)\/5. Let n = -4201\/82 - j. Find the common denominator of n and (-117)\/42*(-80)\/240.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 + 6*y + 7. Give m(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15252816.\nAnswer: 2, 3, 47, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 727, -5, 0, -6 in decreasing order.\nAnswer: 727, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -21018?\nAnswer: 5\/21018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663109 divided by -489?\nAnswer: -11581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.2, 16, -1\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-14))\/2)\/(180\/210).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) - 490\/(-5488).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:15 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 15}. What is prob of picking 2 w?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 34*s**2 + 33*s + 4. Let l be v(-33). Let t(k) = -k**3 - 10*k**2 - k - 5. Let d be t(-10). Sort 0, l, d in increasing order.\nAnswer: 0, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (129 - (112 + -27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 22 = -4*v, -4*m = -9*v + 14*v + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -446*u + 199. Is m(-50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5641 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293 (base 16) to base 5.\nAnswer: 10114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35112211 (base 7) to base 8\nAnswer: 13575332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6828 is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggil when four letters picked without replacement from ioaiagiapgoilgp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p - 39*p = -585 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 2*d - 36*d + 4520. Which is smaller: d or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 663447 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*i + 34 = 0, -9 = 2*a + 16*i - 19*i for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*k - 48 = -5*a + 413*k, -7*a + k + 36 = -3*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*s - 22, -8 = r - 3. Let u be 4\/32*-6 - s. Let b be (0 + 0)\/(-1) + -1. Do b and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2701*h - 121539. What is w(45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3551 + 3611. Solve 38*y = 48*y + q for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 5*m. Let w be m\/(-2) + (-2)\/4. Calculate the remainder when (w - -2)*(-3705)\/(-26) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17489 + -17191. Is c bigger than 330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. Differentiate -f**4 - 2*f**3 - b + 2*f**3 + 4 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -114, -278, -520, -846, -1262?\n\"Answer: -f**3 - 30*f**2 + 5*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*s = 6, 0 = -5*c + 2*s + 97 - 80 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/56 and ((-9)\/27)\/((-48)\/(-207)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = -7. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22596703.\nAnswer: 349, 64747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06489432 and 0.5.\nAnswer: -0.03244716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1970 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*k. Suppose -k*v = -v. What is the second derivative of v*y**2 + 0*y**2 - y - y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + c, -2*c - 4 = -c. Suppose 1 = -g*f + 13. Solve h + 2*z = 0, f*h + 2*h - 11 = z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*x + 12*x + 1533 = -2778 - 2353 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18413*c**3 + 9274*c**3 + 9199*c**3.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 10*w**2 - 5. Let z be i(10). Calculate the common denominator of (-8 + -1)\/(11\/z) and -83\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0638 or -16?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 - 162?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {o: 3, q: 4, m: 1, a: 2, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178*(16\/24)\/((-4)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31814 + 31809. Let h(b) = -b**2 + 6*b + 50. Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t + 2*t**4 + t - 4*t**2 - 2*t + 4*t**3 + 2*t**4.\nAnswer: 4*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3498\/(-10439) + (-104)\/(-338).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1763*n**2 - 20*n + 4*n + 9*n + 7*n as t*n + v*n**2 + p and give v.\nAnswer: -1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 22*d - 56. Let y be x(25). Suppose 24*f + 2025000 = y*f. Round f to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 17455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvfvvffvffvv. What is prob of picking 3 v and 1 f?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/1259362 and -131\/546.\nAnswer: 26446602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 52*o - 5 - 21*o - 30*o. Let p(h) = -1. What is m(f) - 5*p(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 9374.\nAnswer: 937.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 487668.7692 rounded to the nearest 10?\nAnswer: 487670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 12*x**2 - 1. Let h be u(-12). Let f = 3 - h. What is the second derivative of 2*g**f - g - 9*g**2 + 9*g**2 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijiibbiv. What is prob of sequence jbji?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -663273, -1326540, -1989807?\n\"Answer: -663267*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 + -121. Calculate the remainder when q is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -1. Suppose h - 2*x = 4*h - 46, -50 = -3*h - x. Suppose 4*z = -2 + h. What is the nearest to -0.1 in 1\/2, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6584.\nAnswer: -5\/6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/104698 and 21\/1637096.\nAnswer: 18008056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134355035 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 6581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 19*o**2 + 57*o**2 + 34*o**3 - 18*o**2 - 19*o**2 to the form s*o**2 + d*o**3 + q*o + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -738*r**2 - 561*r + 177.\nAnswer: -3*(r + 1)*(246*r - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 1, q: 2, x: 3, s: 1, d: 3}. Give prob of sequence ccs.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*m - 60 = 0, -3*m = 2*i + 9 - 97. Suppose 23868 = i*q + q. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491306?\nAnswer: 2, 245653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (105\/(-100) - 1\/5). Let y = 31 - 34. Let s = 20.8 + -21. What is the third biggest value in y, c, s, 5\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 27 = -75*q + 78*q, -q - 2 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 - 378*l\/5 + 744\/5.\nAnswer: 3*(l - 124)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 159 = -x. Suppose 3*r - x = -48. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255198*l**4 + 2*l**3 + 540*l**2 + 279*l wrt l.\nAnswer: 6124752*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 12, 4, -26, -4\/3, 32\/23?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -66, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/3 - 53*i**4\/3 + 113*i**3\/3 + 157*i**2\/3 - 436*i\/3 + 220\/3 = 0.\nAnswer: -55, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001893987 to 6 dps.\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.518870774 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/1587 and -58\/575.\nAnswer: 39675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 176279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {n: 3, i: 1, b: 3, l: 2, s: 1, r: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3762, 7526, 11290, 15054, 18818, 22582?\n\"Answer: 3764*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0 + 5*j + 5 - 7*j + 2*j + 2*j. Let v(x) = x - 1. Determine a(q) - 4*v(q).\nAnswer: -2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*j\/(j*j**5*j)*((j**1\/j)\/j)**49)\/((j**(-2\/31)*j**(-1\/6)\/j*j)\/(j**(1\/3))**(-20)) assuming j is positive.\nAnswer: j**(-3871\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*g + 3*g. Let n be g + (-3)\/(-2)*-2. Suppose n = -z - 1 + 12. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 10:05 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002503852841 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 - 2*i**3 + 5*i - i - 3*i - 20*i**2 - 31 + 24 wrt i?\nAnswer: -24*i - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*g + 6 = -21, -4*c = -3*g - 63. Let z(f) = -c*f + 12*f - 2 + 5*f + 1. Let x(y) = -4*y - 6. Determine x(b) - 3*z(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 29 + 7 = 0. What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88150.\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/15656328 and 19\/90458784?\nAnswer: 814129056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/276)\/((-9)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 10\/9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2919510038 to the nearest integer?\nAnswer: 54032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 600.85 - -47.25. Round h to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*j + 2 = 0, -5*a - 5*j = -0 + 10. Let c be -4*-53*1\/a. Suppose i = c + 94. What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 + 3)) + (-2 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 26. Let j(o) = o**2 - 6*o - 16. Let k be j(8). Calculate r(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*r**5 - 35*r**2 + 85*r**2 - 19*r**5 - 2 + 17*r**5 + 3*r**4 wrt r?\nAnswer: 4500*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) + 273\/4. Suppose -95 = -4*q + y. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(700) - (sqrt(700) - (sqrt(700) - (sqrt(700) - (-4 + sqrt(700) + -2))))))**2 + 0.\nAnswer: -38880*sqrt(7) + 238464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -45. Suppose -23*n = -u*n. Solve 0 = -n*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456654.\nAnswer: 2, 3, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 27. Let j(x) = x**2 + 6*x - 31. Let o be j(-8). Let f be d(o). Solve -6*s + f*s = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 158.\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -508416 * 5.\nAnswer: -2542080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 + -425. Solve -3*u + s = -2*g - 2*u, -4*g = 5*u - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279291 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: Collect the terms in b**2 + 19 + 7 - 3*b**2 + 5.\nAnswer: -2*b**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*i - 17*i + 9*i**2 + 26*i**2 + 2*i**5 - 19*i**2 - 12*i**3.\nAnswer: 2*i*(i - 1)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011001101111001011 (base 2) to base 12.\nAnswer: -4779a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/22039 and -99\/10.\nAnswer: 220390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 46237 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljlljjljljj. Give prob of picking 3 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -132, -30\/23, 0.05, -2\/13, 4?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 11863*v + 319567. Calculate w(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*q - 591949 + 1566585. Is q <= 18744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (2 + -3 + 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94bdd0 (base 14) to base 3.\nAnswer: 100110101201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-4 + 6). Let u be (-1 + -335366)*n\/66. Let s = u - -15241. Find the common denominator of s and -87\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(0*l + 3*l - l) + 3*l - l + 12*l - 3*l + 4*l - 3*l + (6 - 3 - 1)*(2*l - 3*l + 3*l) in the form q + i*l and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 - 177*i. Let w(n) = -11*n**2 + 351*n. What is 4*w(r) + 7*z(r)?\nAnswer: -2*r**2 + 165*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 114221 (base 9) to base 15\nAnswer: 15557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22788 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100022212 (base 3) to base 10.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/3)\/((-3)\/(-9)). Solve 2*g = 4*w - 16, 2*w = x + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 746547 - 744961 = 0 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/360 + o**5\/60 + o**4\/24 + 2*o**3\/3 + 5*o**2. Let j(z) be the first derivative of m(z). Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 122.7. Is -0.1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 17)*4\/(-10). What are the prime factors of 996\/45 - k\/(-45)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1947 divided by -11\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780 + 954. Which is smaller: l or 175?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 375, -914, -3073, -6102?\n\"Answer: -435*z**2 + 16*z + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(330))\/sqrt(11))\/((sqrt(30)*-2)\/sqrt(5))*4.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28685 divided by -3.\nAnswer: -28685\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5735 divided by 3.\nAnswer: -5735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7498.19 - 7337. What is o rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/3 (b) 18601 (c) 2\/7 (d) -4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -598*z**2 + 767*z**2 - 188*z**2 + 556 + 5*z**3 + 2*z wrt z?\nAnswer: 30*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - ((5 + 37 - 40) + -4 + -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.584686 milliseconds in minutes?\nAnswer: 0.0000930781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**3\/u*u)*u)\/((u\/u**(-2))\/u)*(u**(-1\/2)\/u)\/(u**(1\/5)\/u) assuming u is positive.\nAnswer: u**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20634076 to the power of 1\/2, to the nearest integer?\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 304?\nAnswer: 11248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-2\/5)))\/k)**28\/(k**(3\/5)\/(k\/((k*k**(-1))\/k))))**(-50) assuming k is positive.\nAnswer: k**770","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1684)\/(-57256))\/(14\/17)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03875707242 to 6 dps.\nAnswer: 0.038757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/538 and -145\/12?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -210*c + 892293 + 5352897. What are the prime factors of c?\nAnswer: 3, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0374 - -0.4626. Let i be ((-12)\/(-8))\/(6\/(-32)). Which is the nearest to 2\/7? (a) i (b) -2\/7 (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 e, and 1 x when four letters picked without replacement from extxxxccxxetxeeexx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2542 (base 7) to base 2.\nAnswer: -1111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, -4 in increasing order.\nAnswer: -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 8584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 598?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:34 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11142 divided by -6?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/(1 + 0). Suppose n = -3*u + 150 + 405. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 2*l - 2. Let j(g) = -g**2 - 7*g - 9. Let q(x) = -2*x**2 + 4*x. Let u be q(3). Let t be j(u). Is v(t) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 2*w - 1. Let j be q(-1). Let z be (-1)\/((-4 + 2)\/162). Suppose 5*h - j*c - z + 23 = 0, -5*c = -h + 16. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 344 and -13?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 19, 0 in increasing order.\nAnswer: -7, -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((40 - 7 - 98) + (-2 - 1))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 1 - 4\/((-16)\/924). Let a(n) = -d*n + 120*n + 121*n. Let o(x) = 6*x. Give o(a(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -16. Suppose -37 = -2*q + u, -b*u - 14 = -q - 0*q. Calculate the highest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*b = -274*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*k - 771*k - 7255 - 1902 = 5445 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.012584cm to kilometers.\nAnswer: 0.00005012584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101.257 + 101.157. Let b = -62 + 38. What is the nearest to -1\/3 in b, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 14. Let f be i(9). Let k(v) = 2*v**2 - 3*v + 3. Let o be k(2). Solve o*j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 12*g = 5*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 12. What is the remainder when 41 is divided by x(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 - 9*o**3 + 19*o**3.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/3 - 5*t**2\/3 + 4\/3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*w - 178 = 0, -5*w = 2*q - 34 - 62. What is the highest common factor of q and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8024375321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 266*u**2\/9 - 33718*u\/9 - 8128\/9.\nAnswer: 2*(u - 127)*(133*u + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 140*t**2 + 27*t - 121. Is l(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -31. Suppose 5*g - 4*g = 3*b + 2, -3*b - 4*g + 23 = a. Solve k = 3 + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ska when three letters picked without replacement from {u: 1, s: 2, k: 1, q: 1, t: 2, a: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) - 3\/9. Which is the smallest value? (a) u (b) 7\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -16. Let n be k\/(2\/(-8)*6). What is the units digit of 3*-5*n\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let l(r) = -11*r + 20*r - 10*r - 25. Let i be l(-24). Let v(d) = d**2 - 6*d - 6. Determine i*v(a) + 6*b(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/189996 and -5\/48168.\nAnswer: 3419928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 106. Let t(n) = -2*n - 57. Let w(p) = 7*t(p) + 4*u(p). What is w(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**(1\/4)))*(k*k**(2\/19)\/k)\/k)\/((k*(k\/k**(-3\/8))\/k)\/k*k**(2\/3)))**(12\/17) assuming k is positive.\nAnswer: k**(-541\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362781 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.74874*-0.5.\nAnswer: 6.37437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*n - 119*n - 292*n as v*n + s and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101023 - -38590841\/382. Calculate the common denominator of -5\/22 and n.\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44992343 + -2878878363\/64. Let x = v - 9869. Find the common denominator of x and -59\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10327332 divided by 241\nAnswer: 42852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581523736 by -2383294.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43513 is divided by 76?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.67 - -0.17. Let j = 5 - 3. Which is the closest to j? (a) -0.3 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*2*-5)\/(1*sqrt(200)*-1)*3.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/19999 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1104.56556 + -104.206937. Let v = f + 1337.7725071. Let h = v + -129. What is h rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/80 - z**4\/4 - 5*z**3\/2 + 91*z**2 - z. Factor c(w).\nAnswer: 3*(w - 10)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97167?\nAnswer: 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyvy when four letters picked without replacement from {y: 4, v: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/216 and 103\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*j = -325, u - 334 = -2*u - 4*j. Suppose -2*y = y + s - 179, 2*y - u = 4*s. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 59*f**4 - 2*f**2 - 289. Let p(m) = -4*m**2. What is p(s(k))?\nAnswer: -8020224*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let h = -1 + 5. Suppose z = 2*i - h. Calculate the highest common divisor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 9*f - 20. Calculate b(-10).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + 1200202?\nAnswer: 1202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 25*g + 15. Let c = -25 + -1. Let o be y(c). Let m(t) = -42*t + 23. Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603991?\nAnswer: 19, 83, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4437970 to the power of 1\/2, to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-2*5 - sqrt(85)) + sqrt(85))\/(-4*(sqrt(80) + sqrt(5)) + sqrt(5)) + (4*-1*sqrt(1377) + -4)**2.\nAnswer: 5482*sqrt(17)\/19 + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let l(i) be the second derivative of -77*i**3\/6 + 6*i**2 + 1709*i. Give q(l(y)).\nAnswer: 154*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 11*v - 2. Let c be t(10). Suppose 4*i + 2*s = c, -4*i - i + 2*s = -119. Let m = i + 46. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3a5b1?\nAnswer: 3a5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/17 (b) -0.03 (c) -1\/4 (d) 2 (e) -524\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 17*m**2 + 12*m - 55. Calculate the remainder when 103 is divided by n(-18).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**2 - 31*t + 136. Let m be j(-8). Put -2, -48, m, 5 in ascending order.\nAnswer: -48, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -107. Let u(q) = -2*q**2 + 14*q - 12. Let s be u(b). Solve -v + s = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 68?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzj when three letters picked without replacement from jtztttztjjttzzztz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*(-16)\/(-1904)*(-5)\/(-1).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3068.8286 - 3070. Round j to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 38. Let d(f) = -15*f - 1657. Give -d(w) - 4*x(w).\nAnswer: 7*w + 1809","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 19.053. Let k = q + 0.0530027. Round k to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y. Let w(z) = -3 - 3*z + 2*z + 2*z. Let q(s) = -2*s + 5. Let c(h) = 3*q(h) + 5*w(h). Calculate c(t(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24679462.\nAnswer: 2, 12339731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6544*r**2 - 39254*r - 146. Give a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77154 = -5*q + z + 39937, 2*z = -3*q + 70239. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p + 23. Give o(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-99) - 65\/(1560\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -20. Suppose -114 = 3*y + w*s, y - 6*s = -2*s - 21. Let u = 48 + y. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 94535?\nAnswer: 661745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukf when three letters picked without replacement from khukf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.53 (b) -0.05 (c) -1\/19 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 241771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1762\/102196 - (-89)\/1566.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + -1 + sqrt(1100) + sqrt(1100) - sqrt(1100)*-1*3)**2 + -5.\nAnswer: -137630 + 2500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367317 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124180 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -217. Suppose -2*m + 1158 + 498 = i. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 39043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.65138 smaller than 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -791820 divided by -830\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8))**(-42)*c**46\/(c*c**(-8\/11)) assuming c is positive.\nAnswer: c**(1319\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011011110 - 1?\nAnswer: 1101011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c - 3*m + 11 = 0, 2 = 2*m. Suppose 2*j - 5 = 5*k, -3*k = 4*j - 0*k - 75. Suppose -j = -c*t - 3. Solve t*a - 10 = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 84\/(-9)) + 26\/39. Solve 44 = -17*p - s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 1, o: 7, c: 4, w: 3}. Give prob of picking 1 e, 1 w, and 2 o.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 11*v**2 - 122*v - 67. Let x be u(18). Solve -10*h = -x*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b. Let i be 10*(1160\/25)\/2. Suppose -i = -5*q - 67. Let c(y) = 5*y**2 + 11*y**2 - q*y**2 + 12*y**2. Give d(c(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 + i**5 - 4*i**5 + (0*i - 6*i + 3*i)*(-3*i**3 + 3*i**3 - 9*i**4) - i**5 + 0*i**5 - i**5.\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*q + 5 - 47*q - 42*q + 0 - 35*q.\nAnswer: -7*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -5. Let d = 16 + h. Solve d = -5*x - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Which is the closest to n? (a) -0.2 (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*k + 25, -k = 4*u + k + 214 - 194 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (13\/(1 + 12))\/(3\/26463)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 10. Let f be u(5). Let g = f - 5. Suppose 2*r + 75 = g*r. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83336 by 5.\nAnswer: -83336\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 50765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 200 - 98 - 107 + 7*r**3 + r**2 in the form t*r**2 + i*r + w*r**3 + d and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 19 - 8)*(10*x + 3*x - 8*x) + x - 1 + 1 to z*x + q and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*x**5\/5 + 218326*x**4\/5 - 843358618*x**3\/5 - 61063360798*x**2\/5 - 665050588104*x\/5 - 185049361224\/5 = 0. Calculate x.\nAnswer: -58, -13, -2\/7, 7833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*p - 4282 + 3180 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-2\/3)\/t)))**(-1\/8)*((t**1*t)\/t*t*t)**28 assuming t is positive.\nAnswer: t**(2021\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3596 + 11692. Calculate the greatest common factor of 39 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 22. Put -2\/15, -2\/9, 5\/6, u in increasing order.\nAnswer: -2\/9, -2\/15, 5\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30757\/30 - 15356\/15. Suppose 408*a - 51\/2*a**4 - 225\/2*a**3 - 288 - s*a**5 + 39\/2*a**2 = 0. Calculate a.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153305 (base 7) in base 13?\nAnswer: 10862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 29.092. Let d = k + 0. Let n = d - -0.09. What is n rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214907 (base 11) in base 15?\nAnswer: -6ba28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*o**2\/5 + 59618*o\/5 + 432\/5 = 0. Calculate o.\nAnswer: -216, -1\/138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 332903558.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/6*(-20)\/21000*-70.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 26*o = 180 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(10 + -6))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2)\/(-2 - (-3)\/1). Let z be (-37)\/(-3) - (-2)\/(-6). Suppose a = 5*a + z. Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246.9 + 25.1. Let x = 271.99999432 - h. Round x to 7 dps.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19 + -10 + 20)*1 - -739034. Let w(d) = 2136195*d. Let s be w(-5). Let y = s - m. What is y rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1\/5651 (c) -5 (d) 38\/4629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/78 and 1\/13975.\nAnswer: 83850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i = 11*i - 14943 - 816342. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1957396557637*z + 1957396557637*z + 5*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754.99816 rounded to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1961?\nAnswer: 4\/1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 9*p**2 + p + 4. Let j be k(-9). Suppose -5 = 2*d - 0*s - 3*s, 5*d + 5*s - 25 = 0. Suppose d*h = 7*h + 5*i, 0 = 3*i + 12. Sort -4, h, j.\nAnswer: j, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b**3 - b**2 + 20*b + 21. What is w(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 14) in base 16?\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, 2, 1, 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 4. Let h be (-9)\/(-21) - 8\/(-14). Let v be t(h). Let q(r) = -r**2 - 7*r + 4. Let n(s) = s**2 + 6*s - 4. Determine v*n(l) - 4*q(l).\nAnswer: -l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 11*s - 10. Let q be h(-10). Suppose z + q*z - 59 = 0. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from fyfiyyiy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 divided by 3385?\nAnswer: -1276\/3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6406*n - 9437. Is v(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873540733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 2, 4*f - n = 15. Suppose f*l - 11 = -2. What is the smallest common multiple of 20 and (12 - l)\/(15\/10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 34 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(2\/9)*k*k)\/k)\/k)**(-48) assuming k is positive.\nAnswer: k**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 1. Let k be l(-1). Let t = k - 17. Is (-65)\/t*1*2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.10462, 6\/11, -65 in descending order.\nAnswer: 6\/11, -0.10462, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 - 1396*x**3 - 1383*x**2 - 4492002*x + 7 wrt x.\nAnswer: -24*x**2 - 8376*x - 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(-1*sqrt(9)))\/(sqrt(8) - (sqrt(8) - (sqrt(8) - (sqrt(88)*-2)\/sqrt(11)))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692179\/258 - 1\/12*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 157, 366, 647, 994, 1401?\nAnswer: 1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 9*b - 5*b + 1301*b**2 - 8*b to the form z*b**2 + w + q*b and give z.\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 10}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636398 is divided by 3044?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 - -518?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h. Let j(a) = 8*a**3 + 4*a**2 + 30*a - 6. Determine j(b) - 6*r(b).\nAnswer: 2*b**3 + 4*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 10?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202611 and 441?\nAnswer: 29783817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-11) + 3 + -2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194601115.\nAnswer: 5, 5843, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - 23*d**2 + 4*d**3 - 3*d + 16*d**2 + 0*d**2 + 8 + 9*d**2 to the form s*d**2 + w + y*d**4 + p*d + h*d**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5812.268cm in meters?\nAnswer: 58.12268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9910000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 9. Let v be t(2). Factor 1\/2*a + 0*a**4 - a**v + 1\/2*a**5 + 0 + 0*a**2.\nAnswer: a*(a - 1)**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -502955 at least as big as -502957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let n be 7 + -2 + (-3 - -2). Solve -n*u + 8 = -m*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -1\/8 (c) -0.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**8\/2520 - v**6\/720 - v**5\/20 + v**2. Let w(j) be the third derivative of h(j). What is w(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 5*n**2 - 8*n + 6. Let d be s(2). Let z be (-10)\/(-1*(8 + d)). Solve 2*j + 2 = 4*f, 31 = -z*j - f - 2*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5357*j**4 + 5439*j**4 - 971*j - 281*j wrt j?\nAnswer: 984*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -3*p - 2*g, 12 = 2*p - 2*g. Suppose -p*q + 3*j = -40, 0 = -6*q + 5*q - j + 3. Let i(x) = -x**2 + 7*x - 4. Let a be i(q). Is a < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + 1*(5 + sqrt(405) + (-1 + sqrt(405))**2 + 2).\nAnswer: -9*sqrt(5) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(108) - (sqrt(108) + -4)*-4) + 1)**2 + -3.\nAnswer: -780*sqrt(3) + 2866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*(-9)\/3. Suppose 0 = -5*w - 40 + 40. Let o(d) = -d + 4. Let j be o(w). Solve -s = a*s - j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.6 from -70.\nAnswer: -66.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 0.3. Which is smaller: 1.4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 69.34721 nanometers?\nAnswer: 0.00006934721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(4 + 18\/6). Let z = 2 - 6. Sort -1, z, t in descending order.\nAnswer: -1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*h = 3*f - 1, h + 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.039, -208?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000687304043 to 5 decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2518496 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 9*p + 10. Let x be b(7). Let h be 246\/12 - (-2)\/x. Suppose 0 = 6*q - q - h. What is the smallest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 296425.\nAnswer: -26\/296425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52\/78*(-9)\/(-2). Let u(d) be the third derivative of 1\/120*d**6 + 0*d**4 + 0 + 0*d - 2\/3*d**k + 10*d**2 + 1\/20*d**5. Factor u(n).\nAnswer: (n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 5*y. Let c be 6*4\/(8 + y). Solve 3 = c*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23039113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 32 = 5*s, -3 = -3*l + 9. What is the second smallest value in 5, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 + 0.233. Which is greater: -0.0644 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 - 4*y - 5*y**2 + 1 + 0*y**2 + 10*y**2. Let r be b(-3). Put r, -1, -3 in ascending order.\nAnswer: r, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11748 is divided by 1174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057949021?\nAnswer: 149, 7100329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:11 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1421 times -30\nAnswer: 42630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48 + -33)*26\/10. Solve m*j - 24 = -63 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 218.\nAnswer: -5\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*c**2 - 268110*c**3 + 3 + 0*c**4 + 268108*c**3 - 1 + 802*c + 2*c**4 wrt c.\nAnswer: 24*c**2 - 12*c - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7930*u = -7481*u - 4490 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8320253383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.035, -7, 2, -2\/11 in ascending order.\nAnswer: -7, -2\/11, 0.035, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (704\/28)\/((-6344)\/(-11102)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 9. Let z be w(-6). Let g(r) = r**3 + 3*r**2 + 4*r + 2. Let f be g(-2). What is the second smallest value in 1\/8, z, f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3165613 - -3?\nAnswer: -3165610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -44, -1 in ascending order.\nAnswer: -44, -17, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3 and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (155\/465)\/(14\/12). What is the third smallest value in -2.1, -1\/2, k, 3, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j + 7. Let x be c(0). Suppose -6*t - 11 = -x*t. Factor -t*q**3 - 12 + 24*q**2 + 5*q**3 - 30*q**2 + 2*q**4 + 22*q.\nAnswer: 2*(q - 3)*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 10:12 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146580.\nAnswer: 2, 3, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/53 + 4165\/636. Find the common denominator of -17\/4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 + 2*i - 1. Let y be m(-5). Let r be 6\/y - 130\/(-7). Calculate the greatest common factor of r and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -0.24. Let c = 0.1999846 + s. What is c rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6 + 1 - 6*r + 3*r + 4*r. Let c be l(4). Is (-2*(-14)\/7)\/(c\/(-6)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16081 divided by 84?\nAnswer: 16081\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1530*o = 1504*o - 312 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/19))**(-13) assuming x is positive.\nAnswer: x**(-260\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 8}. Give prob of sequence de.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:28 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (815*t**2 + 829*t**2 - 30*t - 1615*t**2)*(0 + 0 - 1) - 2 + t**2 + 2.\nAnswer: -28*t**2 + 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n - 3. Suppose -4 = 4*w + d + 8, -3*d - 15 = 5*w. Suppose 0 = -4*b - 4*b + 64. Calculate the remainder when p(w) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 3.03. Let w = -5.9 + -2.1. Let i = w + 6. What is the biggest value in 0.3, u, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 145 + 101 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -6\/5 (c) -1 (d) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1094 - 8*a - 1092 + 2186. Let o(d) = -31*d**2 + 5*d. What is n(o(q))?\nAnswer: 248*q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 3104387?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68905 + 68906. Let a be 2\/15 - 2\/(-6). Is a less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -2\/5 (c) 1 (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -184676, -184674, -184672, -184670?\n\"Answer: 2*k - 184678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - ((-2 - -4) + -5)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p - 139*p + 4*r - 32 = 0, 2*p - 4*r = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l + 8. Let c(g) = -4*g - 1. Let a(r) = -8*c(r) - h(r). Let x(z) = 38*z**2. Give a(x(j)).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 62801 + 62801.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = n - 11, 0 = -4*n - 3*w + 73. Suppose 12*p = -5*c + 10*p + 33, 3*c + p = 19. Solve -4*a - 5 = b - 1, 0 = -c*a + 4*b + n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -5*d - 2240*b + 2286*b, -10 = 5*d - 5*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Let q = -14 + n. Let d = q - -5. Which is the biggest value? (a) -5 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-231)\/9 + (-2)\/(-3). Let d = t - -51. Let l(j) = j**3 - 4*j**2 - 4*j + 4. Calculate the remainder when d is divided by l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.02083 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/626748 and -97\/1914.\nAnswer: 6894228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 8*t + 81. List the prime factors of 2 - (0 + 1)*t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/6 - 4*y**2 + 2*y. Let o be c(7). Let f(b) = 4*b**2 - 1. What is f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/4 (b) -0.13 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - 0.06. Which is the smallest value? (a) -2\/7 (b) 9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/7)*b\/(b*b*b**6*b))**36)**(-5\/14) assuming b is positive.\nAnswer: b**(4140\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 4*o - 239, 4*u - 264 = -4*o. Calculate the remainder when o is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.01. Let f = 0.05 - m. Let o = f - 3.04. What is the nearest to 0.1 in o, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2235)\/(-3129)*(-3)\/10*(-7)\/12\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -3*m**5\/5 + 2*m**3 + 4*m. Find the second derivative of x(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 192, 380, 674, 1110?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5648*y - 5649*y + 41 = 0, f + 5*y = 210 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 2. Let z be n(-2). Does 10 divide (z\/(-3) + 1)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70149 is divided by 2186.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 6\/2 - 1. Solve 5*v - t*n = -30, 0 = -v - v - 4*n + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 60384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Let t = d + -9. Let p be t*1*(-3)\/(-3). Put p, -2, 5 in descending order.\nAnswer: 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (2\/(-7) - (-8)\/(-21)). Let v = 30 + 5. Let o be ((-7)\/v)\/(3\/9). Which is the third smallest value? (a) 20 (b) 2\/5 (c) o (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100112 (base 4) in base 14?\nAnswer: -1c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -20*g**5 - 72*g**4 + 132*g**3 - 40*g**2 = 0.\nAnswer: -5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -86. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1331) + -1 + sqrt(1331))*3)**2*2*-3.\nAnswer: -287550 + 2376*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 16.5. Let i = -1.4 + t. What is the nearest to -2\/7 in i, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let f(d) = d. Suppose -3 = 3*v + 3, -4 = -3*l - v. Let u(w) = l*i(w) + 6*f(w). Let q(h) = 21*h. Give u(q(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24016122 (base 7) to base 4.\nAnswer: 20012013132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*u - 74 = 2*d, 3*u = 3*d - 93. Let c = d - 21. Calculate the remainder when 6*(15\/2 - 0) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7877781 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 3*o + 102. Let x(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 102*w - 29. Let q(u) = -6*i(u) - 7*x(u). Differentiate q(l) wrt l.\nAnswer: 10*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4696 divided by -2348.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556978 is divided by 6401.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - -5. What is the second biggest value in -4, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 1 (c) 71 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by (-606)\/(-11) + ((-455)\/286 - (-3)\/2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let d be y(-8). Suppose -52 = 13*m - d*m. Let p(q) = q**3 + 12*q**2 - 16*q - 14. List the prime factors of p(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165296073 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 1. Let m be j(1). Solve 2*d - 6*d - m = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125, -249, -373, -497?\n\"Answer: -124*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 - -4.86. Let i = -0.2 - -0.4. Which is the nearest to -2\/3? (a) 0.3 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x - 2 + 2)*(-1 - 4 + 3) + 5*x + x - 2*x)*(2 + 1 - 1).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/470567 and 19\/1542?\nAnswer: 2823402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + y**3 - 7*y**2 - y + 3.\nAnswer: (y - 1)*(y + 1)**2*(4*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 8. Let l be 2\/(-13) - 90\/936. Which is the closest to -1\/3? (a) j (b) 0.6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.5 (c) -0.99 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 906 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6538381 is divided by 345?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 37760, 3, -4, -5, 1, -6.\nAnswer: -7, -6, -5, -4, 1, 3, 37760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**2 - 113943*r + 37980 = 0?\nAnswer: 1\/3, 12660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-1) - -3 - -3. Let a = p + 1. Solve 9 - a = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2 + 1. Let r = -36 + 33. Let f(t) = -2*t - 1. Calculate r*j(a) + 2*f(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 - t**2 + t - 1. Calculate o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302076 (base 8) in base 4?\nAnswer: 120100332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1937*k + 1933*k + 2*x + 0*x + x + 57 = 0, 0 = 10*k + 5*x - 205 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9436 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251.07 - 255. Let m = k - 0.07. Let x be ((-6)\/(-45))\/(2\/3) + (-14616)\/61480. What is the fourth biggest value in x, -0.3, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1213 - 427. Suppose -94 = -5*p + z. Suppose -60 = -0*d - d + 2*l, -p = -3*d + 4*l. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 2*q - 19, h - 13 = -q. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/30 - 3*l**4\/4 - 2*l**2 + 8. Factor a(b).\nAnswer: 2*b*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -59?\nAnswer: 26\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 + -234. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**7\/2520 - w**6\/360 - w**5\/120 - w**4\/12 - 2*w**2. Let o(b) be the second derivative of q(b). Factor o(i).\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115ba8 (base 14) in base 13?\nAnswer: -17976a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z = -35*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.589 - 4.789. Let t = 3.93 - 4. Which is the closest to 0? (a) -5 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611.72 rounded to the nearest 10?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -22 + 6286 - ((-26)\/8 + 7\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 51. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d - 82*d - 688 = 86*r, -14*r - 3*d - 40 = -9*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -22*r. Let j(t) = -58*t + 1. Determine j(y(s)).\nAnswer: 1276*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}